"Track-layers' tongs for lifting rails. They have short jaws designed to clasp the rail head and two long handles bent at a right angle." -Whitney, 1911

Rail Tongs

"Track-layers' tongs for lifting rails. They have short jaws designed to clasp the rail head and two…

The good effect of the Ionic capital is really only produced by the front-view. It seems calculated to be introduced between pillars and antæ, and not in a disconnected peristyle with with angle columns. In angle columns, however, the volutes are sometimes constructed in such a way that they meet at both sides diagonally.

Ionic Angle Column from the Temple of Minerva Polias at Athens, Front

The good effect of the Ionic capital is really only produced by the front-view. It seems calculated…

The good effect of the Ionic capital is really only produced by the front-view. It seems calculated to be introduced between pillars and antæ, and not in a disconnected peristyle with with angle columns. In angle columns, however, the volutes are sometimes constructed in such a way that they meet at both sides diagonally.

Ionic Angle Column from the Temple of Minerva Polias at Athens, Side

The good effect of the Ionic capital is really only produced by the front-view. It seems calculated…

The angle ornament symbol is a symbol of art.

Angle Ornament Symbol

The angle ornament symbol is a symbol of art.

The angle border interlacement band is a Modern French design.

Angle Border Interlacement Band

The angle border interlacement band is a Modern French design.

The angle border interlacement band is a Modern French design.

Angle Border Interlacement Band

The angle border interlacement band is a Modern French design.

The angle border interlacement band is a Modern French design.

Angle Border Interlacement Band

The angle border interlacement band is a Modern French design.

The angle border interlacement band is a Modern French design.

Angle Border Interlacement Band

The angle border interlacement band is a Modern French design.

The angle border interlacement band is a Modern French design.

Angle Border Interlacement Band

The angle border interlacement band is a Modern French design.

The angle border interlacement band is a Modern French design.

Angle Border Interlacement Band

The angle border interlacement band is a Modern French design.

The evolute spiral angle is a wave pattern that mimics the wave of the sea.

Evolute Spiral Angles

The evolute spiral angle is a wave pattern that mimics the wave of the sea.

The evolute spiral angle is a wave pattern that mimics the wave of the sea.

Evolute Spiral Angles

The evolute spiral angle is a wave pattern that mimics the wave of the sea.

A howitzer is a type of artillery piece that is characterized by a relatively short barrel and the use of comparatively small explosive charges to propel projectiles at trajectories with a steep angle of descent. In the taxonomies of artillery pieces used by European (and European-style) armies in the 18th, 19th, and 20th centuries, the howitzer stood between the "gun" (which was characterized by a longer barrel, larger propelling charges, smaller shells, higher velocities and flatter trajectories) and the "mortar" (which has the ability to fire projectiles at even higher angles of ascent and descent).

Howitzer

A howitzer is a type of artillery piece that is characterized by a relatively short barrel and the use…

"In geometry, an angle connected with an ellipse and defined as ... angle BCL, reckoned from one determinate end, B, of the transverse axis, called the eccentric angle of the point H." -Whitney, 1911

Eccentric Angle

"In geometry, an angle connected with an ellipse and defined as ... angle BCL, reckoned from one determinate…

"A globe casts its shadow upon the ground; the sun's rays parallel with the picture at an angle of 45° with the horizon." (Britannica, 1891)

Shadows of Curvilinear Objects

"A globe casts its shadow upon the ground; the sun's rays parallel with the picture at an angle of 45°…

"Two cylinders, one horizontal, the other perpendicular. The base of the horizontal cylinder is at one angle of 40° with the PP. The sun's inclination 50°m elevation 28°." (Britannica, 1891)

Shadows of Two Cylinders

"Two cylinders, one horizontal, the other perpendicular. The base of the horizontal cylinder is at one…

"Endless screw, a mechanical arrangement consisting of a screw the thread of which gears into a wheel with skew teeth, the obliquity corresponding to the angle of pitch of the screw." -Whitney, 1911

Endless Screw and Wheel

"Endless screw, a mechanical arrangement consisting of a screw the thread of which gears into a wheel…

Illustration of two triangles, showing the sine of the sum of two acute angles expressed in terms of the sines and cosines of the angles.

Sum of 2 Acute Angles

Illustration of two triangles, showing the sine of the sum of two acute angles expressed in terms of…

Illustration of an angle with the terminal side used to draw a triangle in quadrant II.

Triangle in Quadrant II

Illustration of an angle with the terminal side used to draw a triangle in quadrant II.

Illustration that can be used to show that when given an angle, expressed as an inverse function of u, it can be used to find the value of any function of the angle in terms of u.

Angle Expressed As An Inverse Function

Illustration that can be used to show that when given an angle, expressed as an inverse function of…

Illustration that can be used to show that if the cotangent of an angle is negative the angle must terminate in either the second or fourth quadrant.

Negative Cotangent Angles

Illustration that can be used to show that if the cotangent of an angle is negative the angle must terminate…

Illustration two types of triangles that can be used to model the law of sines. "In a plane triangle any two sides are to each other as the sines of the opposite angles."

Law of Sines

Illustration two types of triangles that can be used to model the law of sines. "In a plane triangle…

Illustration of one possible outcome (no triangle occurs) when discussing the ambiguous case using the Law of Sines. In this case, side a is less than the height (bsinα).

Ambiguous Case

Illustration of one possible outcome (no triangle occurs) when discussing the ambiguous case using the…

Illustration of one possible outcome (1 triangle occurs) when discussing the ambiguous case using the Law of Sines. In this case, side a is equal to the height (bsinα).

Ambiguous Case

Illustration of one possible outcome (1 triangle occurs) when discussing the ambiguous case using the…

Illustration of one possible outcome (2 triangles occur) when discussing the ambiguous case using the Law of Sines. In this case, side a is greater than the height (bsinα).

Ambiguous Case

Illustration of one possible outcome (2 triangles occur) when discussing the ambiguous case using the…

Illustration of an angle &alpha with the terminal side used to draw a triangle in quadrant I.

Triangle in Quadrant I

Illustration of an angle &alpha with the terminal side used to draw a triangle in quadrant I.

Illustration of an angle &alpha with the vertex at the center, O, of a circle with radius OB. AC and BD are perpendicular to OB and join B with C. The are of the triangle OBC is less than the are of the sector OBC, and the sector OBC is less than the triangle OBD.

Triangles and Sectors in Quadrant I

Illustration of an angle &alpha with the vertex at the center, O, of a circle with radius OB. AC and…

Illustration used, with the law of sines, to find the relation between two sides of a spherical triangle and the angles opposite.

Relationships In A Spherical Triangle

Illustration used, with the law of sines, to find the relation between two sides of a spherical triangle…

Illustration used, with the law of cosines, to find the relation between the three sides and an angle of a spherical triangle.

Relationships In A Spherical Triangle

Illustration used, with the law of cosines, to find the relation between the three sides and an angle…

Illustration used to extend the law of cosines when finding the relation between the three sides and an angle of a spherical triangle. In this case both angles b and c are greater than 90°.

Relationships In A Spherical Triangle

Illustration used to extend the law of cosines when finding the relation between the three sides and…

Illustration used to extend the law of cosines when finding the relation between the three sides and an angle of a spherical triangle. In this case angle b<90&deg; and angle c>90&deg;.

Relationships In A Spherical Triangle

Illustration used to extend the law of cosines when finding the relation between the three sides and…

Illustration of a right spherical triangle with a and b the sides, and &alpha; and &beta; the angles opposite them. Side c is the hypotenuse.

Right Spherical Triangle

Illustration of a right spherical triangle with a and b the sides, and α and β the angles…

Illustration of a right spherical triangle and the five circular parts placed in the sectors of a circle in the order in which they occur in the triangle. "The ten formulas used in the solution of spherical right triangles can be expressed by means of two rules, known as Napier's rules of circular parts."

Napier's Right Spherical Triangle

Illustration of a right spherical triangle and the five circular parts placed in the sectors of a circle…

This Antique simpula is a right angled spoon.

Antique Simpula

This Antique simpula is a right angled spoon.

This Antique simpula is a right angled spoon.

Antique Simpula

This Antique simpula is a right angled spoon.

Illustration used to show how to construct a bisector of an angle when the sides intersect within the limits of the drawing.

Bisect An Angle

Illustration used to show how to construct a bisector of an angle when the sides intersect within the…

Illustration used to show how to construct a bisector of an angle when the sides no not intersect within the limits of the drawing.

Bisect An Angle

Illustration used to show how to construct a bisector of an angle when the sides no not intersect within…

Illustration used to show how to "draw a straight line through any given point on a given straight line to make any required angle with that line."

Construction Of Angle On Straight Line

Illustration used to show how to "draw a straight line through any given point on a given straight line…

Illustration used to show how to draw a triangle when given two sides and the included angle of the triangle.

Construction Of Triangle

Illustration used to show how to draw a triangle when given two sides and the included angle of the…

Illustration of the projection of a rectangular prism whose broad side makes an angle of 30&deg; with the horizontal.

Projection Of Rectangular Prism

Illustration of the projection of a rectangular prism whose broad side makes an angle of 30° with…

Illustration of the projection of a rectangular prism whose base makes an angle of 160&deg; with the horizontal.

Projection Of Rectangular Prism

Illustration of the projection of a rectangular prism whose base makes an angle of 160° with the…

Illustration of the projection of a rectangular prism whose base makes an angle of 17.5&deg; with the horizontal.

Projection Of Rectangular Prism

Illustration of the projection of a rectangular prism whose base makes an angle of 17.5° with the…

Illustration of the projection of a hexagonal prism having two of its parallel sides parallel to the plane of the paper, and its axis vertical. instead of a side elevation at right angles to the horizontal, the angle is 30&deg; with the horizontal.

Projection Of Hexagonal Prism

Illustration of the projection of a hexagonal prism having two of its parallel sides parallel to the…

Illustration of the projection of a hexagonal prism whose axis is parallel to the plane of the paper and whose base makes and angle of 30&deg; with the horizontal.

Projection Of Hexagonal Prism

Illustration of the projection of a hexagonal prism whose axis is parallel to the plane of the paper…

Illustration of the projection of a cylinder whose axis is parallel to the plane of the paper and makes an angle of 77&deg; with the horizontal.

Projection Of Cylinder

Illustration of the projection of a cylinder whose axis is parallel to the plane of the paper and makes…

Illustration of a cylinder cut by a plane making an angle of 57&deg; with the base.

Plane Intersecting A Cylinder

Illustration of a cylinder cut by a plane making an angle of 57° with the base.

From this angle it is easy to see the bay window at the front of the house. A large fireplace is situated along the right wall of the parlor. The kitchen has a walk-in pantry. The sitting room is large and extends the wall of the house, giving it character. The master bedroom on the second floor has a large walk-in closet. In 1917, this medium-sized house cost between $2,600 and $2,800 to build depending on the locality.

"The Baldwin" Floor Plans

From this angle it is easy to see the bay window at the front of the house. A large fireplace is situated…

Illustration of the intersection of a quadrangular prism and an octagonal prism. The figures intersect at a right angle.

Intersecting Prisms

Illustration of the intersection of a quadrangular prism and an octagonal prism. The figures intersect…

Illustration of the intersection of an octagonal prism and a cylinder. The figures intersect at an oblique angle.

Intersecting Prism and Cylinder

Illustration of the intersection of an octagonal prism and a cylinder. The figures intersect at an oblique…

"If two angles not in the same plane have their sides respectively parallel and lying in the same direction, they are equal and their planes are parallel."

Angles In Parallel Planes

"If two angles not in the same plane have their sides respectively parallel and lying in the same direction,…

A dihedral angle is the opening between two intersecting planes.

Dihedral Angle

A dihedral angle is the opening between two intersecting planes.

"Skull of Cat (Felis catus), showing the following bones, viz. : na, nasal; pm, premaxillary; m, maxillary; l, lacrymal; f, frontal; j, jugal; pa, palatine; p, parietal; sq, squamosal; ip, interparietal; so, supra-occipital; eo, exoccipital (the line leads to the occipital condyle); t, tympanic bulla; smf, stylomastoid foramen; mf, mental foramen; c, coronoid process of mandible; ar, ascending ramus of mandible; hr, horizontal ramus of mandible; an, angle of jaw." -Whitney, 1911

Domestic Cat Skull

"Skull of Cat (Felis catus), showing the following bones, viz. : na, nasal; pm, premaxillary; m, maxillary;…

Models showing deflection of outcrop of dipping strata on sloping surfaces. Slope of valley 40 degrees, dip of strata 20 degrees.

Deflection of Outcrop of Inclined Strata

Models showing deflection of outcrop of dipping strata on sloping surfaces. Slope of valley 40 degrees,…

Models showing deflection of outcrop of dipping strata on sloping surfaces. Slope of valley 20 degrees, dip of strata 50 degrees.

Deflection of Outcrop of Inclined Strata

Models showing deflection of outcrop of dipping strata on sloping surfaces. Slope of valley 20 degrees,…

"In heraldry, broken asunder. This condition is depicted in different ways: thus, a fesse fracted may be represented as two demi-bars touching at one angle, or as a bar with a piece broken out of the middle and moved away." -Whitney, 1911

Chevron Fracted

"In heraldry, broken asunder. This condition is depicted in different ways: thus, a fesse fracted may…

"A battle-ax used by the Franks, of which the typical form is a head long in proportion to its width, and expanding toward a convex curved edge, the general direction of which forms a considerable angle with the handle." -Whitney, 1911

Francisca, Throwing Axe

"A battle-ax used by the Franks, of which the typical form is a head long in proportion to its width,…

"The Dodo, ...was an immense Pigeon-like bird bigger than a Turkey, with an aborted keel to the sternum and the wings also aborted. The coracoid and scapula met at an obtuse angle, as in many other flightless species. The huge blackish bill terminated in a large horny hook, the cheeks were partly bare, the short yellow legs were stout, scaly, and feathered on the upper portion; the plumage was dark ash- coloured, with whitish breast and tail, yellowish-white wings, and black tips to their coverts. The short rectrices formed a curled tuft, and the first four primaries were directed backwards." A. H. Evans, 1900

Dodo

"The Dodo, ...was an immense Pigeon-like bird bigger than a Turkey, with an aborted keel to the sternum…

"Figure 5 shows a form of the apparatus for separating a liquid from another of different boiling point, such as alcohol and water. The mixture is poured into retort B, and then heated to about 90 degrees C, which is above the boiling point of alcohol but below that of water. The vaporized alcohol escapes through A to the worm D. This is a simple helical coil of pipe surrounded by cold water, and serving to condense the vapor, which runs out as a liquid at the bottom. The cooling water is constantly changed by the supplying fresh cold water at the bottom and drawing off the heated water from the top." Louis Derr, 1911

A Still Showing the Separation of a Liquid from a Solid

"Figure 5 shows a form of the apparatus for separating a liquid from another of different boiling point,…

Diagram used to prove the theorem: "Every point in a plane which bisects a dihedral angle is equidistant from the faces of the angle"

Plane Bisecting Dihedral Angle

Diagram used to prove the theorem: "Every point in a plane which bisects a dihedral angle is equidistant…

Diagram used to prove the theorem: "The sum of two face angles of a trihedral angle is greater than the third."

Face Angles of Trihedral Angle

Diagram used to prove the theorem: "The sum of two face angles of a trihedral angle is greater than…