Diagram used to prove the theorem: "The sum of the face angles of any convex polyhedral angle is less than four right angles."

Face Angles of Convex Polyhedral Angle

Diagram used to prove the theorem: "The sum of the face angles of any convex polyhedral angle is less…

Diagram used to prove the theorem: "Two trihedral angles, which have three face angles of the one equal respectively to three face angles of the other , are either equal or symmetrical."

Symmetrical or Equal Trihedral Angles

Diagram used to prove the theorem: "Two trihedral angles, which have three face angles of the one equal…

Diagram used to prove the theorem: "Two prisms are equal when the three faces about a trihedral of one are equal respectively to the three faces about a trihedral of the other, and similarly arranged."

Two Equal Prisms

Diagram used to prove the theorem: "Two prisms are equal when the three faces about a trihedral of one…

Diagram used to prove the theorem: "Two tetrahedrons having a trihedral angle in each equal, are to each other as the products of the including edges."

Two Proportional Tetrahedrons

Diagram used to prove the theorem: "Two tetrahedrons having a trihedral angle in each equal, are to…

Diagram used to prove the theorem: "A spherical angle is measured by the arc of a great circle described from its vertex as a ole and included between its sides (produced if necessary)."

Measure of a Spherical Angle

Diagram used to prove the theorem: "A spherical angle is measured by the arc of a great circle described…

Diagram used to prove the theorem: "In a spherical triangle, the greater side is opposite the greater angle, and conversely."

Side Comparison of Spherical Triangle

Diagram used to prove the theorem: "In a spherical triangle, the greater side is opposite the greater…

Diagram used to prove the theorem: "The area of a spherical triangle, expressed in spherical degrees, is equal to its spherical excess expressed in angular degrees."

Area of Spherical Triangle

Diagram used to prove the theorem: "The area of a spherical triangle, expressed in spherical degrees,…

"The Heir, or first son, the LABEL. The differences used by armorists at the present time are nine in number. They not only distinguish the sons of one family, but also denote the subordinate degrees in each house." -Hall, 1862

Label Difference

"The Heir, or first son, the LABEL. The differences used by armorists at the present time are nine in…

"Second Son, the CRESCENT. The differences used by armorists at the present time are nine in number. They not only distinguish the sons of one family, but also denote the subordinate degrees in each house." -Hall, 1862

Crescent Difference

"Second Son, the CRESCENT. The differences used by armorists at the present time are nine in number.…

"Third Son, the MULLET. The differences used by armorists at the present time are nine in number. They not only distinguish the sons of one family, but also denote the subordinate degrees in each house." -Hall, 1862

Mullet Difference

"Third Son, the MULLET. The differences used by armorists at the present time are nine in number. They…

"Fourth Son, the MARTLET. The differences used by armorists at the present time are nine in number. They not only distinguish the sons of one family, but also denote the subordinate degrees in each house." -Hall, 1862

Martlet Difference

"Fourth Son, the MARTLET. The differences used by armorists at the present time are nine in number.…

"Fifth Son, the ANNULET. The differences used by armorists at the present time are nine in number. They not only distinguish the sons of one family, but also denote the subordinate degrees in each house." -Hall, 1862

Annulet Difference

"Fifth Son, the ANNULET. The differences used by armorists at the present time are nine in number. They…

"Sixth Son, the FLEUR-DE-LIS. The differences used by armorists at the present time are nine in number. They not only distinguish the sons of one family, but also denote the subordinate degrees in each house." -Hall, 1862

Fleur-De-Lis Difference

"Sixth Son, the FLEUR-DE-LIS. The differences used by armorists at the present time are nine in number.…

"Seventh Son, the ROSE. The differences used by armorists at the present time are nine in number. They not only distinguish the sons of one family, but also denote the subordinate degrees in each house." -Hall, 1862

Rose Difference

"Seventh Son, the ROSE. The differences used by armorists at the present time are nine in number. They…

"Eighth Son, the CROSS MOLINE. The differences used by armorists at the present time are nine in number. They not only distinguish the sons of one family, but also denote the subordinate degrees in each house." -Hall, 1862

Cross Moline

"Eighth Son, the CROSS MOLINE. The differences used by armorists at the present time are nine in number.…

"Ninth Son, the DOUBLE QUATREFOIL. The differences used by armorists at the present time are nine in number. They not only distinguish the sons of one family, but also denote the subordinate degrees in each house." -Hall, 1862

Double Quatrefoil

"Ninth Son, the DOUBLE QUATREFOIL. The differences used by armorists at the present time are nine in…

Diagram an ellipse with a tangent line that illustrates "A line through a point on the ellipse and bisecting the external angle between the focal radii is a tangent."

Tangent to an Ellipse

Diagram an ellipse with a tangent line that illustrates "A line through a point on the ellipse and bisecting…

Diagram part of a hyperbola with a tangent line that illustrates "A line through a point on the hyperbola and bisecting the internal angle between the focal radii is a tangent."

Tangent to a Hyperbola

Diagram part of a hyperbola with a tangent line that illustrates "A line through a point on the hyperbola…

Consonants have a closed or narrowly expanded adjustment of the vocal organs, so that in their production some part of the throat or mouth obstructs, squeezes, or divides the breath. &hellip;in representing consonants the hand suggests a narrow adjustment of the organs, by having the prominent or accented fingers straightened and the second phalanx of the thumb close to the plane of the palm. <p>Non-Vocal Consonant positions have the voice phalanx of the thumb bent at right angles to the breath phalanx, or unaccented. Primary Consonant positions have only the first finger accented. Back Consonant positions, being posterior, have the palm held laterally at an angle to the arm.

Non-Vocal Primary Back Consonant

Consonants have a closed or narrowly expanded adjustment of the vocal organs, so that in their production…

Consonants have a closed or narrowly expanded adjustment of the vocal organs, so that in their production some part of the throat or mouth obstructs, squeezes, or divides the breath. &hellip;in representing consonants the hand suggests a narrow adjustment of the organs, by having the prominent or accented fingers straightened and the second phalanx of the thumb close to the plane of the palm.  <P>Non-Vocal Consonant positions have the voice phalanx of the thumb bent at right angles to the breath phalanx, or unaccented. Mixed Consonant positions have the second, third, and fourth fingers accented. Back Consonant positions, being posterior, have the palm held laterally at an angle to the arm.

Non-Vocal Mixed Back Consonant

Consonants have a closed or narrowly expanded adjustment of the vocal organs, so that in their production…

Consonants have a closed or narrowly expanded adjustment of the vocal organs, so that in their production some part of the throat or mouth obstructs, squeezes, or divides the breath. &hellip;in representing consonants the hand suggests a narrow adjustment of the organs, by having the prominent or accented fingers straightened and the second phalanx of the thumb close to the plane of the palm. <p> Non-Vocal Consonant positions have the voice phalanx of the thumb bent at right angles to the breath phalanx, or unaccented. Divided Consonant positions have the first and second fingers accented. Back Consonant positions, being posterior, have the palm held laterally at an angle to the arm.

Non-Vocal Divided Back Consonant

Consonants have a closed or narrowly expanded adjustment of the vocal organs, so that in their production…

Consonants have a closed or narrowly expanded adjustment of the vocal organs, so that in their production some part of the throat or mouth obstructs, squeezes, or divides the breath. &hellip;in representing consonants the hand suggests a narrow adjustment of the organs, by having the prominent or accented fingers straightened and the second phalanx of the thumb close to the plane of the palm. <p> Non-Vocal Consonant positions have the voice phalanx of the thumb bent at right angles to the breath phalanx, or unaccented. Mixed-Divided Consonant positions have all of the fingers accented. Back Consonant positions, being posterior, have the palm held laterally at an angle to the arm.

Non-Vocal Mixed-Divided Back Consonant

Consonants have a closed or narrowly expanded adjustment of the vocal organs, so that in their production…

Consonants have a closed or narrowly expanded adjustment of the vocal organs, so that in their production some part of the throat or mouth obstructs, squeezes, or divides the breath. &hellip;in representing consonants the hand suggests a narrow adjustment of the organs, by having the prominent or accented fingers straightened and the second phalanx of the thumb close to the plane of the palm. <p> Non-Vocal Consonant positions have the voice phalanx of the thumb bent at right angles to the breath phalanx, or unaccented. Shut Consonant positions do not have any of the fingers accented. Back Consonant positions, being posterior, have the palm held laterally at an angle to the arm.

Non-Vocal Shut Back Consonant

Consonants have a closed or narrowly expanded adjustment of the vocal organs, so that in their production…

Consonants have a closed or narrowly expanded adjustment of the vocal organs, so that in their production some part of the throat or mouth obstructs, squeezes, or divides the breath. &hellip;in representing consonants the hand suggests a narrow adjustment of the organs, by having the prominent or accented fingers straightened and the second phalanx of the thumb close to the plane of the palm. <p> Non-Vocal Consonant positions have the voice phalanx of the thumb bent at right angles to the breath phalanx, or unaccented. Nasal Consonant positions have the breath phalanx of the thumb in the position to indicate Nasality. None of the fingers are accented. Back Consonant positions, being posterior, have the palm held laterally at an angle to the arm.

Non-Vocal Nasal Back Consonant

Consonants have a closed or narrowly expanded adjustment of the vocal organs, so that in their production…

Consonants have a closed or narrowly expanded adjustment of the vocal organs, so that in their production some part of the throat or mouth obstructs, squeezes, or divides the breath. &hellip;in representing consonants the hand suggests a narrow adjustment of the organs, by having the prominent or accented fingers straightened and the second phalanx of the thumb close to the plane of the palm. <p> Vocalized Consonant positions have the voice phalanx of the thumb accented; that is, brought in line with the breath phalanx; this constitutes the only difference between the Vocalized and analogous Non-Vocal Consonant positions. Primary Consonant positions have only the first finger accented. Back Consonant positions, being posterior, have the palm held laterally at an angle to the arm.

Vocalized Primary Back Consonant

Consonants have a closed or narrowly expanded adjustment of the vocal organs, so that in their production…

Consonants have a closed or narrowly expanded adjustment of the vocal organs, so that in their production some part of the throat or mouth obstructs, squeezes, or divides the breath. &hellip;in representing consonants the hand suggests a narrow adjustment of the organs, by having the prominent or accented fingers straightened and the second phalanx of the thumb close to the plane of the palm. <p> Vocalized Consonant positions have the voice phalanx of the thumb accented; that is, brought in line with the breath phalanx; this constitutes the only difference between the Vocalized and analogous Non-Vocal Consonant positions. Mixed Consonant positions have the second, third, and fourth fingers accented. Back Consonant positions, being posterior, have the palm held laterally at an angle to the arm.

Vocalized Mixed Back Consonant

Consonants have a closed or narrowly expanded adjustment of the vocal organs, so that in their production…

Consonants have a closed or narrowly expanded adjustment of the vocal organs, so that in their production some part of the throat or mouth obstructs, squeezes, or divides the breath. &hellip;in representing consonants the hand suggests a narrow adjustment of the organs, by having the prominent or accented fingers straightened and the second phalanx of the thumb close to the plane of the palm. <p> Vocalized Consonant positions have the voice phalanx of the thumb accented; that is, brought in line with the breath phalanx; this constitutes the only difference between the Vocalized and analogous Non-Vocal Consonant positions. Divided Consonant positions have the first and second fingers accented. Back Consonant positions, being posterior, have the palm held laterally at an angle to the arm.

Vocalized Divided Back Consonant

Consonants have a closed or narrowly expanded adjustment of the vocal organs, so that in their production…

Consonants have a closed or narrowly expanded adjustment of the vocal organs, so that in their production some part of the throat or mouth obstructs, squeezes, or divides the breath. &hellip;in representing consonants the hand suggests a narrow adjustment of the organs, by having the prominent or accented fingers straightened and the second phalanx of the thumb close to the plane of the palm. <p> Vocalized Consonant positions have the voice phalanx of the thumb accented; that is, brought in line with the breath phalanx; this constitutes the only difference between the Vocalized and analogous Non-Vocal Consonant positions. Mixed-Divided Consonant positions have all of the fingers accented. Back Consonant positions, being posterior, have the palm held laterally at an angle to the arm.

Vocalized Mixed-Divided Back Consonant

Consonants have a closed or narrowly expanded adjustment of the vocal organs, so that in their production…

Consonants have a closed or narrowly expanded adjustment of the vocal organs, so that in their production some part of the throat or mouth obstructs, squeezes, or divides the breath. &hellip;in representing consonants the hand suggests a narrow adjustment of the organs, by having the prominent or accented fingers straightened and the second phalanx of the thumb close to the plane of the palm. <p> Vocalized Consonant positions have the voice phalanx of the thumb accented; that is, brought in line with the breath phalanx; this constitutes the only difference between the Vocalized and analogous Non-Vocal Consonant positions. Shut Consonant positions do not have any of the fingers accented. Back Consonant positions, being posterior, have the palm held laterally at an angle to the arm.

Vocalized Shut Back Consonant

Consonants have a closed or narrowly expanded adjustment of the vocal organs, so that in their production…

Consonants have a closed or narrowly expanded adjustment of the vocal organs, so that in their production some part of the throat or mouth obstructs, squeezes, or divides the breath. &hellip;in representing consonants the hand suggests a narrow adjustment of the organs, by having the prominent or accented fingers straightened and the second phalanx of the thumb close to the plane of the palm. <p> Vocalized Consonant positions have the voice phalanx of the thumb accented; that is, brought in line with the breath phalanx; this constitutes the only difference between the Vocalized and analogous Non-Vocal Consonant positions. Nasal Consonant positions have the breath phalanx of the thumb in the position to indicate Nasality. None of the fingers are accented. Back Consonant positions, being posterior, have the palm held laterally at an angle to the arm.

Vocalized Nasal Back Consonant

Consonants have a closed or narrowly expanded adjustment of the vocal organs, so that in their production…

Glides are only transitional sounds. They are intermediate to Consonants and Vowels, combining the characteristics of certain central-aperture consonants with the wide or expanded quality of vowels, but differing from vowels in not having a fixed configuration. ...in representing glides the peculiarities of consonants and vowels are blended: the accented fingers, by being straightened, contribute a consonant characteristic; while the second phalanx of the thumb, by being held at an angle to the plane of the palm, imparts to the glide positions the wide, without giving them the firm, quality of vowel positions. <p> Breath-Glide - A transitional aspiration, of organic quality corresponding to that of the adjoining elements [a soft effect of the Consonants, back primary; top primary; Point primary; Lip primary; etc.]. Although this glide has no fixed abiding place, and is of a somewhat variable organic formation, in its effect it is very closely allied to the Throat consonant aspirate, and is therefore represented with a posterior position of the palm and a separation of the index and center fingers, which are characteristic features of Throat positions. This is the only Non-Vocal glide, and hence is the only one in the representation of which the voice phalanx is unaccented.

Breath-Glide

Glides are only transitional sounds. They are intermediate to Consonants and Vowels, combining the characteristics…

Glides are only transitional sounds. They are intermediate to Consonants and Vowels, combining the characteristics of certain central-aperature consonants with the wide or expanded quality of vowels, but differing from vowels in not having a fixed configuration. ...in representing glides the peculiarities of consonants and vowels are blended: the accented fingers, by being straightened, contribute a consonant characteristic; while the second phalanx of the thumb, by being held at an angle to the plane of the palm, imparts to the glide positions the wide, without giving them the firm, quality of vowel positions. Voice-Glide &ndash; Vowel murmur [a non-syllabic effect of the mid Mixed primary round vowel]. It is a Throat formation, and is shown to be so by the position which represents it.

Voice-Glide

Glides are only transitional sounds. They are intermediate to Consonants and Vowels, combining the characteristics…

Glides are only transitional sounds. They are intermediate to Consonants and Vowels, combining the characteristics of certain central-aperature consonants with the wide or expanded quality of vowels, but differing from vowels in not having a fixed configuration. ...in representing glides the peculiarities of consonants and vowels are blended: the accented fingers, by being straightened, contribute a consonant characteristic; while the second phalanx of the thumb, by being held at an angle to the plane of the palm, imparts to the glide positions the wide, without giving them the firm, quality of vowel positions. Back-Glide &ndash; A semi-vowelized sound of the Vocalized back primary consonant.

Back-Glide

Glides are only transitional sounds. They are intermediate to Consonants and Vowels, combining the characteristics…

Glides are only transitional sounds. They are intermediate to Consonants and Vowels, combining the characteristics of certain central-aperature consonants with the wide or expanded quality of vowels, but differing from vowels in not having a fixed configuration. ...in representing glides the peculiarities of consonants and vowels are blended: the accented fingers, by being straightened, contribute a consonant characteristic; while the second phalanx of the thumb, by being held at an angle to the plane of the palm, imparts to the glide positions the wide, without giving them the firm, quality of vowel positions. Top-Glide &ndash; A semi-vowelized sound of the Vocalized top primary consonant.

Top-Glide

Glides are only transitional sounds. They are intermediate to Consonants and Vowels, combining the characteristics…

Glides are only transitional sounds. They are intermediate to Consonants and Vowels, combining the characteristics of certain central-aperature consonants with the wide or expanded quality of vowels, but differing from vowels in not having a fixed configuration. ...in representing glides the peculiarities of consonants and vowels are blended: the accented fingers, by being straightened, contribute a consonant characteristic; while the second phalanx of the thumb, by being held at an angle to the plane of the palm, imparts to the glide positions the wide, without giving them the firm, quality of vowel positions. Point-Glide &ndash; A semi-vowelized sound of the Vocalized Point primary consonant.

Point-Glide

Glides are only transitional sounds. They are intermediate to Consonants and Vowels, combining the characteristics…

Glides are only transitional sounds. They are intermediate to Consonants and Vowels, combining the characteristics of certain central-aperature consonants with the wide or expanded quality of vowels, but differing from vowels in not having a fixed configuration. ...in representing glides the peculiarities of consonants and vowels are blended: the accented fingers, by being straightened, contribute a consonant characteristic; while the second phalanx of the thumb, by being held at an angle to the plane of the palm, imparts to the glide positions the wide, without giving them the firm, quality of vowel positions. <p> Round-Glide &ndash; Rounded murmur [a non-syllabic effect of the mid Mixed primary round vowel]. This also is a Throat formation, and is represented by a position which suggests an unrepresented Vocalized Throat Mixed consonant.

Round-Glide

Glides are only transitional sounds. They are intermediate to Consonants and Vowels, combining the characteristics…

Glides are only transitional sounds. They are intermediate to Consonants and Vowels, combining the characteristics of certain central-aperature consonants with the wide or expanded quality of vowels, but differing from vowels in not having a fixed configuration. ...in representing glides the peculiarities of consonants and vowels are blended: the accented fingers, by being straightened, contribute a consonant characteristic; while the second phalanx of the thumb, by being held at an angle to the plane of the palm, imparts to the glide positions the wide, without giving them the firm, quality of vowel positions. Throat-Glide &ndash; A semi-vowelized sound of the Vocalized Throat primary consonant.

Throat-Glide

Glides are only transitional sounds. They are intermediate to Consonants and Vowels, combining the characteristics…

Glides are only transitional sounds. They are intermediate to Consonants and Vowels, combining the characteristics of certain central-aperature consonants with the wide or expanded quality of vowels, but differing from vowels in not having a fixed configuration. ...in representing glides the peculiarities of consonants and vowels are blended: the accented fingers, by being straightened, contribute a consonant characteristic; while the second phalanx of the thumb, by being held at an angle to the plane of the palm, imparts to the glide positions the wide, without giving them the firm, quality of vowel positions. Back Mixed-Glide &ndash; A semi-vowelized sound of the Vocalized back Mixed consonant.

Back Mixed-Glide

Glides are only transitional sounds. They are intermediate to Consonants and Vowels, combining the characteristics…

Glides are only transitional sounds. They are intermediate to Consonants and Vowels, combining the characteristics of certain central-aperature consonants with the wide or expanded quality of vowels, but differing from vowels in not having a fixed configuration. ...in representing glides the peculiarities of consonants and vowels are blended: the accented fingers, by being straightened, contribute a consonant characteristic; while the second phalanx of the thumb, by being held at an angle to the plane of the palm, imparts to the glide positions the wide, without giving them the firm, quality of vowel positions.

Top Mixed-Glide

Glides are only transitional sounds. They are intermediate to Consonants and Vowels, combining the characteristics…

Glides are only transitional sounds. They are intermediate to Consonants and Vowels, combining the characteristics of certain central-aperature consonants with the wide or expanded quality of vowels, but differing from vowels in not having a fixed configuration. ...in representing glides the peculiarities of consonants and vowels are blended: the accented fingers, by being straightened, contribute a consonant characteristic; while the second phalanx of the thumb, by being held at an angle to the plane of the palm, imparts to the glide positions the wide, without giving them the firm, quality of vowel positions.

Point Mixed-Glide

Glides are only transitional sounds. They are intermediate to Consonants and Vowels, combining the characteristics…

Glides are only transitional sounds. They are intermediate to Consonants and Vowels, combining the characteristics of certain central-aperature consonants with the wide or expanded quality of vowels, but differing from vowels in not having a fixed configuration. ...in representing glides the peculiarities of consonants and vowels are blended: the accented fingers, by being straightened, contribute a consonant characteristic; while the second phalanx of the thumb, by being held at an angle to the plane of the palm, imparts to the glide positions the wide, without giving them the firm, quality of vowel positions. Lip Mixed-Glide &ndash; A semi-vowelized sound of the Vocalized Lip Mixed consonant.

Lip Mixed-Glide

Glides are only transitional sounds. They are intermediate to Consonants and Vowels, combining the characteristics…

Glides are only transitional sounds. They are intermediate to Consonants and Vowels, combining the characteristics of certain central-aperature consonants with the wide or expanded quality of vowels, but differing from vowels in not having a fixed configuration. ...in representing glides the peculiarities of consonants and vowels are blended: the accented fingers, by being straightened, contribute a consonant characteristic; while the second phalanx of the thumb, by being held at an angle to the plane of the palm, imparts to the glide positions the wide, without giving them the firm, quality of vowel positions. <p> Glides-Indicated positions are distinguished by having the accent finger straightened, and the accented voice phalanx of the thumb in contact with that finger's second phalanx. They are adapted to illustrate the easy transition from Vowel to Glide. Glides-Indicated possess exactly the same phonetic value and significance as the Glides which they respectively replace. When used with a High Vowel, have the third finger accented. Primary glides-indicated have closed unaccented fingers. Back Glide-Indicated positions, being posterior, have the palm held laterally at an angle to the arm.

Indicated High Primary Back Glide

Glides are only transitional sounds. They are intermediate to Consonants and Vowels, combining the characteristics…

Glides are only transitional sounds. They are intermediate to Consonants and Vowels, combining the characteristics of certain central-aperature consonants with the wide or expanded quality of vowels, but differing from vowels in not having a fixed configuration. ...in representing glides the peculiarities of consonants and vowels are blended: the accented fingers, by being straightened, contribute a consonant characteristic; while the second phalanx of the thumb, by being held at an angle to the plane of the palm, imparts to the glide positions the wide, without giving them the firm, quality of vowel positions. <p> Glides-Indicated positions are distinguished by having the accent finger straightened, and the accented voice phalanx of the thumb in contact with that finger's second phalanx. They are adapted to illustrate the easy transition from Vowel to Glide. Glides-Indicated possess exactly the same phonetic value and significance as the Glides which they respectively replace. When used with a High Vowel, have the third finger accented.  Primary glides-indicated have closed unaccented fingers.  Lip Glide-Indicated positions, being anterior, have the palm upright and in line with the arm.

Indicated High Primary Top Glide

Glides are only transitional sounds. They are intermediate to Consonants and Vowels, combining the characteristics…

Glides are only transitional sounds. They are intermediate to Consonants and Vowels, combining the characteristics of certain central-aperature consonants with the wide or expanded quality of vowels, but differing from vowels in not having a fixed configuration. ...in representing glides the peculiarities of consonants and vowels are blended: the accented fingers, by being straightened, contribute a consonant characteristic; while the second phalanx of the thumb, by being held at an angle to the plane of the palm, imparts to the glide positions the wide, without giving them the firm, quality of vowel positions. <p> Glides-Indicated positions are distinguished by having the accent finger straightened, and the accented voice phalanx of the thumb in contact with that finger's second phalanx. They are adapted to illustrate the easy transition from Vowel to Glide. Glides-Indicated possess exactly the same phonetic value and significance as the Glides which they respectively replace. When used with a High Vowel, have the third finger accented.  Primary glides-indicated have closed unaccented fingers.  Point Glide-Indicated positions, being anterior, have the palm upright and in line with the arm.

Indicated High Primary Point Glide

Glides are only transitional sounds. They are intermediate to Consonants and Vowels, combining the characteristics…

Glides are only transitional sounds. They are intermediate to Consonants and Vowels, combining the characteristics of certain central-aperature consonants with the wide or expanded quality of vowels, but differing from vowels in not having a fixed configuration. ...in representing glides the peculiarities of consonants and vowels are blended: the accented fingers, by being straightened, contribute a consonant characteristic; while the second phalanx of the thumb, by being held at an angle to the plane of the palm, imparts to the glide positions the wide, without giving them the firm, quality of vowel positions. <p> Glides-Indicated positions are distinguished by having the accent finger straightened, and the accented voice phalanx of the thumb in contact with that finger's second phalanx. They are adapted to illustrate the easy transition from Vowel to Glide. Glides-Indicated possess exactly the same phonetic value and significance as the Glides which they respectively replace. When used with a High Vowel, have the third finger accented.  Primary glides-indicated have closed unaccented fingers.  Lip Glide-Indicated positions, being anterior, have the palm upright and in line with the arm.

Indicated High Primary Lip Glide

Glides are only transitional sounds. They are intermediate to Consonants and Vowels, combining the characteristics…

Glides are only transitional sounds. They are intermediate to Consonants and Vowels, combining the characteristics of certain central-aperature consonants with the wide or expanded quality of vowels, but differing from vowels in not having a fixed configuration. ...in representing glides the peculiarities of consonants and vowels are blended: the accented fingers, by being straightened, contribute a consonant characteristic; while the second phalanx of the thumb, by being held at an angle to the plane of the palm, imparts to the glide positions the wide, without giving them the firm, quality of vowel positions. <p> Glides-Indicated positions are distinguished by having the accent finger straightened, and the accented voice phalanx of the thumb in contact with that finger's second phalanx. They are adapted to illustrate the easy transition from Vowel to Glide. Glides-Indicated possess exactly the same phonetic value and significance as the Glides which they respectively replace. When used with a High Vowel, have the third finger accented.  Straightened unaccented fingers should be employed only to indicate "Wide".  Back Glide-Indicated positions, being posterior, have the palm held laterally at an angle to the arm.

Indicated High Wide Back Glide

Glides are only transitional sounds. They are intermediate to Consonants and Vowels, combining the characteristics…

Glides are only transitional sounds. They are intermediate to Consonants and Vowels, combining the characteristics of certain central-aperature consonants with the wide or expanded quality of vowels, but differing from vowels in not having a fixed configuration. ...in representing glides the peculiarities of consonants and vowels are blended: the accented fingers, by being straightened, contribute a consonant characteristic; while the second phalanx of the thumb, by being held at an angle to the plane of the palm, imparts to the glide positions the wide, without giving them the firm, quality of vowel positions. <p> Glides-Indicated positions are distinguished by having the accent finger straightened, and the accented voice phalanx of the thumb in contact with that finger's second phalanx. They are adapted to illustrate the easy transition from Vowel to Glide. Glides-Indicated possess exactly the same phonetic value and significance as the Glides which they respectively replace. When used with a High Vowel, have the third finger accented.  Straightened unaccented fingers should be employed only to indicate "Wide".  Top Glide-Indicated positions have the lower phalanges of the fingers at right angles to the plane of the palm.

Indicated High Wide Top Glide

Glides are only transitional sounds. They are intermediate to Consonants and Vowels, combining the characteristics…

Glides are only transitional sounds. They are intermediate to Consonants and Vowels, combining the characteristics of certain central-aperature consonants with the wide or expanded quality of vowels, but differing from vowels in not having a fixed configuration. ...in representing glides the peculiarities of consonants and vowels are blended: the accented fingers, by being straightened, contribute a consonant characteristic; while the second phalanx of the thumb, by being held at an angle to the plane of the palm, imparts to the glide positions the wide, without giving them the firm, quality of vowel positions. <p> Glides-Indicated positions are distinguished by having the accent finger straightened, and the accented voice phalanx of the thumb in contact with that finger's second phalanx. They are adapted to illustrate the easy transition from Vowel to Glide. Glides-Indicated possess exactly the same phonetic value and significance as the Glides which they respectively replace. When used with a High Vowel, have the third finger accented.  Straightened unaccented fingers should be employed only to indicate "Wide".  Point Glide-Indicated positions, being anterior, have the palm upright and in line with the arm.

Indicated High Wide Point Glide

Glides are only transitional sounds. They are intermediate to Consonants and Vowels, combining the characteristics…

Glides are only transitional sounds. They are intermediate to Consonants and Vowels, combining the characteristics of certain central-aperature consonants with the wide or expanded quality of vowels, but differing from vowels in not having a fixed configuration. ...in representing glides the peculiarities of consonants and vowels are blended: the accented fingers, by being straightened, contribute a consonant characteristic; while the second phalanx of the thumb, by being held at an angle to the plane of the palm, imparts to the glide positions the wide, without giving them the firm, quality of vowel positions. <p> Glides-Indicated positions are distinguished by having the accent finger straightened, and the accented voice phalanx of the thumb in contact with that finger's second phalanx. They are adapted to illustrate the easy transition from Vowel to Glide. Glides-Indicated possess exactly the same phonetic value and significance as the Glides which they respectively replace. When used with a High Vowel, have the third finger accented.  Straightened unaccented fingers should be employed only to indicate "Wide".  Lip Glide-Indicated positions, being anterior, have the palm upright and in line with the arm.

Indicated High Wide Lip Glide

Glides are only transitional sounds. They are intermediate to Consonants and Vowels, combining the characteristics…

Glides are only transitional sounds. They are intermediate to Consonants and Vowels, combining the characteristics of certain central-aperature consonants with the wide or expanded quality of vowels, but differing from vowels in not having a fixed configuration. ...in representing glides the peculiarities of consonants and vowels are blended: the accented fingers, by being straightened, contribute a consonant characteristic; while the second phalanx of the thumb, by being held at an angle to the plane of the palm, imparts to the glide positions the wide, without giving them the firm, quality of vowel positions. <p> Glides-Indicated positions are distinguished by having the accent finger straightened, and the accented voice phalanx of the thumb in contact with that finger's second phalanx. They are adapted to illustrate the easy transition from Vowel to Glide. Glides-Indicated possess exactly the same phonetic value and significance as the Glides which they respectively replace. When used with a Mid, have the center finger accented.  Primary glides-indicated have closed unaccented fingers.  Back Glide-Indicated positions, being posterior, have the palm held laterally at an angle to the arm.

Indicated Mid Primary Back Glide

Glides are only transitional sounds. They are intermediate to Consonants and Vowels, combining the characteristics…

Glides are only transitional sounds. They are intermediate to Consonants and Vowels, combining the characteristics of certain central-aperature consonants with the wide or expanded quality of vowels, but differing from vowels in not having a fixed configuration. ...in representing glides the peculiarities of consonants and vowels are blended: the accented fingers, by being straightened, contribute a consonant characteristic; while the second phalanx of the thumb, by being held at an angle to the plane of the palm, imparts to the glide positions the wide, without giving them the firm, quality of vowel positions. <p> Glides-Indicated positions are distinguished by having the accent finger straightened, and the accented voice phalanx of the thumb in contact with that finger's second phalanx. They are adapted to illustrate the easy transition from Vowel to Glide. Glides-Indicated possess exactly the same phonetic value and significance as the Glides which they respectively replace. When used with a Mid, have the center finger accented.  Primary glides-indicated have closed unaccented fingers.  Top Glide-Indicated positions have the lower phalanges of the fingers at right angles to the plane of the palm.

Indicated Mid Primary Top Glide

Glides are only transitional sounds. They are intermediate to Consonants and Vowels, combining the characteristics…

Glides are only transitional sounds. They are intermediate to Consonants and Vowels, combining the characteristics of certain central-aperature consonants with the wide or expanded quality of vowels, but differing from vowels in not having a fixed configuration. ...in representing glides the peculiarities of consonants and vowels are blended: the accented fingers, by being straightened, contribute a consonant characteristic; while the second phalanx of the thumb, by being held at an angle to the plane of the palm, imparts to the glide positions the wide, without giving them the firm, quality of vowel positions. <p> Glides-Indicated positions are distinguished by having the accent finger straightened, and the accented voice phalanx of the thumb in contact with that finger's second phalanx. They are adapted to illustrate the easy transition from Vowel to Glide. Glides-Indicated possess exactly the same phonetic value and significance as the Glides which they respectively replace. When used with a Mid, have the center finger accented.  Primary glides-indicated have closed unaccented fingers.  Point Glide-Indicated positions, being anterior, have the palm upright and in line with the arm.

Indicated Mid Primary Point Glide

Glides are only transitional sounds. They are intermediate to Consonants and Vowels, combining the characteristics…

Glides are only transitional sounds. They are intermediate to Consonants and Vowels, combining the characteristics of certain central-aperature consonants with the wide or expanded quality of vowels, but differing from vowels in not having a fixed configuration. ...in representing glides the peculiarities of consonants and vowels are blended: the accented fingers, by being straightened, contribute a consonant characteristic; while the second phalanx of the thumb, by being held at an angle to the plane of the palm, imparts to the glide positions the wide, without giving them the firm, quality of vowel positions. <p> Glides-Indicated positions are distinguished by having the accent finger straightened, and the accented voice phalanx of the thumb in contact with that finger's second phalanx. They are adapted to illustrate the easy transition from Vowel to Glide. Glides-Indicated possess exactly the same phonetic value and significance as the Glides which they respectively replace. When used with a Mid, have the center finger accented.  Primary glides-indicated have closed unaccented fingers.  Lip Glide-Indicated positions, being anterior, have the palm upright and in line with the arm.

Indicated Mid Primary Lip Glide

Glides are only transitional sounds. They are intermediate to Consonants and Vowels, combining the characteristics…

Glides are only transitional sounds. They are intermediate to Consonants and Vowels, combining the characteristics of certain central-aperature consonants with the wide or expanded quality of vowels, but differing from vowels in not having a fixed configuration. ...in representing glides the peculiarities of consonants and vowels are blended: the accented fingers, by being straightened, contribute a consonant characteristic; while the second phalanx of the thumb, by being held at an angle to the plane of the palm, imparts to the glide positions the wide, without giving them the firm, quality of vowel positions. <p> Glides-Indicated positions are distinguished by having the accent finger straightened, and the accented voice phalanx of the thumb in contact with that finger's second phalanx. They are adapted to illustrate the easy transition from Vowel to Glide. Glides-Indicated possess exactly the same phonetic value and significance as the Glides which they respectively replace. When used with a Mid, have the center finger accented.  Straightened unaccented fingers should be employed only to indicate "Wide".  Back Glide-Indicated positions, being posterior, have the palm held laterally at an angle to the arm.

Indicated Mid Wide Back Glide

Glides are only transitional sounds. They are intermediate to Consonants and Vowels, combining the characteristics…

Glides are only transitional sounds. They are intermediate to Consonants and Vowels, combining the characteristics of certain central-aperature consonants with the wide or expanded quality of vowels, but differing from vowels in not having a fixed configuration. ...in representing glides the peculiarities of consonants and vowels are blended: the accented fingers, by being straightened, contribute a consonant characteristic; while the second phalanx of the thumb, by being held at an angle to the plane of the palm, imparts to the glide positions the wide, without giving them the firm, quality of vowel positions. <p> Glides-Indicated positions are distinguished by having the accent finger straightened, and the accented voice phalanx of the thumb in contact with that finger's second phalanx. They are adapted to illustrate the easy transition from Vowel to Glide. Glides-Indicated possess exactly the same phonetic value and significance as the Glides which they respectively replace. When used with a Mid, have the center finger accented.  Straightened unaccented fingers should be employed only to indicate "Wide".  Top Glide-Indicated positions have the lower phalanges of the fingers at right angles to the plane of the palm.

Indicated Mid Wide Top Glide

Glides are only transitional sounds. They are intermediate to Consonants and Vowels, combining the characteristics…

Glides are only transitional sounds. They are intermediate to Consonants and Vowels, combining the characteristics of certain central-aperature consonants with the wide or expanded quality of vowels, but differing from vowels in not having a fixed configuration. ...in representing glides the peculiarities of consonants and vowels are blended: the accented fingers, by being straightened, contribute a consonant characteristic; while the second phalanx of the thumb, by being held at an angle to the plane of the palm, imparts to the glide positions the wide, without giving them the firm, quality of vowel positions. <p> Glides-Indicated positions are distinguished by having the accent finger straightened, and the accented voice phalanx of the thumb in contact with that finger's second phalanx. They are adapted to illustrate the easy transition from Vowel to Glide. Glides-Indicated possess exactly the same phonetic value and significance as the Glides which they respectively replace. When used with a Mid, have the center finger accented.  Straightened unaccented fingers should be employed only to indicate "Wide".  Point Glide-Indicated positions, being anterior, have the palm upright and in line with the arm.

Indicated Mid Wide Point Glide

Glides are only transitional sounds. They are intermediate to Consonants and Vowels, combining the characteristics…

Glides are only transitional sounds. They are intermediate to Consonants and Vowels, combining the characteristics of certain central-aperature consonants with the wide or expanded quality of vowels, but differing from vowels in not having a fixed configuration. ...in representing glides the peculiarities of consonants and vowels are blended: the accented fingers, by being straightened, contribute a consonant characteristic; while the second phalanx of the thumb, by being held at an angle to the plane of the palm, imparts to the glide positions the wide, without giving them the firm, quality of vowel positions. <p> Glides-Indicated positions are distinguished by having the accent finger straightened, and the accented voice phalanx of the thumb in contact with that finger's second phalanx. They are adapted to illustrate the easy transition from Vowel to Glide. Glides-Indicated possess exactly the same phonetic value and significance as the Glides which they respectively replace. When used with a Low, have the first finger accented.  Primary glides-indicated have closed unaccented fingers.  Back Glide-Indicated positions, being posterior, have the palm held laterally at an angle to the arm.

Indicated Low Primary Back Glide

Glides are only transitional sounds. They are intermediate to Consonants and Vowels, combining the characteristics…

Glides are only transitional sounds. They are intermediate to Consonants and Vowels, combining the characteristics of certain central-aperature consonants with the wide or expanded quality of vowels, but differing from vowels in not having a fixed configuration. ...in representing glides the peculiarities of consonants and vowels are blended: the accented fingers, by being straightened, contribute a consonant characteristic; while the second phalanx of the thumb, by being held at an angle to the plane of the palm, imparts to the glide positions the wide, without giving them the firm, quality of vowel positions. <p> Glides-Indicated positions are distinguished by having the accent finger straightened, and the accented voice phalanx of the thumb in contact with that finger's second phalanx. They are adapted to illustrate the easy transition from Vowel to Glide. Glides-Indicated possess exactly the same phonetic value and significance as the Glides which they respectively replace. When used with a Low, have the first finger accented.   Primary glides-indicated have closed unaccented fingers. Top Glide-Indicated positions have the lower phalanges of the fingers at right angles to the plane of the palm.

Indicated Low Primary Top Glide

Glides are only transitional sounds. They are intermediate to Consonants and Vowels, combining the characteristics…

Glides are only transitional sounds. They are intermediate to Consonants and Vowels, combining the characteristics of certain central-aperature consonants with the wide or expanded quality of vowels, but differing from vowels in not having a fixed configuration. ...in representing glides the peculiarities of consonants and vowels are blended: the accented fingers, by being straightened, contribute a consonant characteristic; while the second phalanx of the thumb, by being held at an angle to the plane of the palm, imparts to the glide positions the wide, without giving them the firm, quality of vowel positions. <p> Glides-Indicated positions are distinguished by having the accent finger straightened, and the accented voice phalanx of the thumb in contact with that finger's second phalanx. They are adapted to illustrate the easy transition from Vowel to Glide. Glides-Indicated possess exactly the same phonetic value and significance as the Glides which they respectively replace. When used with a Low, have the first finger accented.  Primary glides-indicated have closed unaccented fingers.  Point Glide-Indicated positions, being anterior, have the palm upright and in line with the arm.

Indicated Low Primary Point Glide

Glides are only transitional sounds. They are intermediate to Consonants and Vowels, combining the characteristics…

Glides are only transitional sounds. They are intermediate to Consonants and Vowels, combining the characteristics of certain central-aperature consonants with the wide or expanded quality of vowels, but differing from vowels in not having a fixed configuration. ...in representing glides the peculiarities of consonants and vowels are blended: the accented fingers, by being straightened, contribute a consonant characteristic; while the second phalanx of the thumb, by being held at an angle to the plane of the palm, imparts to the glide positions the wide, without giving them the firm, quality of vowel positions. <p> Glides-Indicated positions are distinguished by having the accent finger straightened, and the accented voice phalanx of the thumb in contact with that finger's second phalanx. They are adapted to illustrate the easy transition from Vowel to Glide. Glides-Indicated possess exactly the same phonetic value and significance as the Glides which they respectively replace. When used with a Low, have the first finger accented.  Primary glides-indicated have closed unaccented fingers. Lip Glide-Indicated positions, being anterior, have the palm upright and in line with the arm.

Indicated Low Primary Lip Glide

Glides are only transitional sounds. They are intermediate to Consonants and Vowels, combining the characteristics…