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The skeleton of an ox. Axial Skeleton. The skull. Cranial Bones- occipital, 1: b, parietal, 2; a, frontal, 2; c, temporal, 2; sphenoid, 1; ethmoid, 1; auditory ossicles, 8. Facial Bones- h, nasal, 2; e, lachrymal, 2; d, malar, 2; f, maxilla, 2; g, premaxilla, 1; i, inferior maxilla, 2; palatine, 2; pterygoid, 2; vomer, 1; turbinals, 4; hyoid series, 7. Teeth: incisors, 6; canines, 2; molars, 24. The trunk- k, cervical vertebrae, 7; l, dorsal vertebrae, 13; m, lumbar vertebrae, 6; n, sacrum ( five segments), 1; o, coccygal vertebrae (variable), 20; p, ribs, 26; * sternum (seven sternebrae), 1. Appendicular skeleton. Pectoral limb. t, scapula, 2; u, humerus, 2; v, radius, 2; w, ulna, 2. Carpus- x, trapezium, 2; y, cuneiform, 2; z, lunar; a', scaphoid, 2; b', unciform, 2; c', magnum, 2. Metacarpus: d', large bone, 2; e', small bone, 4; f', large sesamoids, 8. Digit- g', proximal phalanges, 4; h', median phalages, 4; i', distal phalanges, 4; k', small sesamoids, 4. Pelvic Limb. Pelvis- q, ilium, 2; s, ischium, 2; r, pubis, 2. The limb- l', femur, 2; m', patella, 2; n', tibia, 2. Tarsus-o', maleolar, 2; p', calcaneum, 2; q', astragalus, 2; r', cubocuneiform, 2; s', cuneiforme medium, 2; t', cuneiforme parvum, 2. Metatarsus: large bone, 2; u', small bone, 2. Large sesamoids, 8. Digit: proximal phalanges, 4; median phalanges, 4; distal phalanges, 4; small sesamoids, 4. Visceral skeleton. Bones of the heart, 2. The separate bones of the ruminant skeleton, as here considered are 251.

Ox Skeleton

The skeleton of an ox. Axial Skeleton. The skull. Cranial Bones- occipital, 1: b, parietal, 2; a, frontal,…

Skeleton of the hog. Axial skeleton. The skull. Cranial bones- a, occipital, 1; b, parietal, 2; d, frontal, 2; c, temporal, 2; sphenoid, 1; ethmoid, 1; auditory ossicles, 8. Facial Bones- g, nasal, 2; h, os rostri, 1; f, lachrymal, 2; e, malar, 2; i, maxilla, 2; k, premaxilla, 2; l, inferior maxilla, 1; palatine, 2; 2, pterygoid, 2; vomer, 1; turbinals, 4; hyoid series, 5. Teeth: incisors, 12; canines, 4; molars, 28. The trunk- m, cervicle vertebre (variable), 18; r, ribs, 28; * sternum (seven sternebrae), 1. Appendicular Skeleton. Pectoral Limb. v, scapula, 2; w, humerus, 2; x, radius, 2; y, ulna, 2. carpus: z, trapezium, 2; a', cuneiform, 2; b', lunar, 2; c', scaphoid, 2; d', unciform, 2; e', magnum, 2; f', trapezoid, 2; g', pisiform, phalanges, 8; l', distal phalanges, 8; l", small sesamoids, 8. Pelvic Limb. Pelvis: s, ilium, 2; t, pubis, 2; u, ischium, 2. The limb-m', femur, 2; n', patella, 2; o', tibia, 2; p' fibula, 2. Tarsus- q' calcaneum, 3; r', astragalus, 2; s', cuboid, 2; t', cuneiforme magnum, 2; u', ecto-cuneiforme, 2; v' w', meso and endo cuneiformes, 4. Metatatarsus: large bones, 8; x', small bones 2; y', large sesamoids, 16. Digit: proximal phalanges, 8; median phalanges, 8; distal phalanges, 8; small sesamoids, 8. Visceral Skeleton- None. The separate bones of the skeleton of the hog, as here considered, are 234.

Skeleton of a Hog

Skeleton of the hog. Axial skeleton. The skull. Cranial bones- a, occipital, 1; b, parietal, 2; d, frontal,…

The skeleton of the dog. Axial skeleton. The skull. Cranial bones- a, occipital, 1; b, parietal, 2; d, frontal, 2; c, temporal, 2; sphenoid, 1; ethmoid, 2; auditory ossicles, 8. Facial Bones- f, nasal, 2; e, lachrymal, 2; d, malar, 2; h, maxilla, 2; g, premaxilla, 2. Teeth: incisors, 12; canines, 4; molars, 26. The trunk- l, cervical vertebrae, 7; m, dorsal vertebrea, 13; n, lumbar vertebrae, 7; o, sacrum (three segments), 1; p, coccygeal phalanges (variable), 20; t, ribs, 26; * sternum (eight sternebrae), 1. Appendicular Skeleton. Pectoral Limb. u, scapula, 2; v, humerus, 2; w, radius, 2; x, ulna. Carpus: y, trapezium, 2; z cuneiform, 2; a', scaphoid, 2; b', unciform, 2; c', magnum, 2; d', trapezoid, 2; e', pisiform,2; metacarpal bones, 10; h', anterior sesamoids, 10; g' posterior sesamoids, 20. Digits- i' proximal phalanges, 10; k', median phalanges, 8; l', distal phalanges, 10; small sesamoids wanting. Pelvic Limb. Pelvis: q, ilium, 2; r, pubis, 2; s, ischium, 2. The limb-m', femur, 2; o', fabellae, 4; n', patella, 2; q', tibia, 2; p', tibial sesamoid, 2; r', fibula, 2. Tarsus: s', calcaneum, 2; t', astragalus, 2; u', cuboid, 2; v', superior cuneiform, 2; w', ectocuneiforme, 2; x', mesocuneiforme, 2; y', edocuneiforme, 2. Metatarsus: large bones, 8; z',small bones, 2; anterior sesamoids, 8; posterior sesamoids, 16. Digit: proximal phalanges, 8; median phalanges, 8; distal phalanges, 8; small sesamoids wanting. Visceral Skeleton. Os Penis, 1; Rudimentary clavicle (inconstant), 2. The bones of the Carnivora Skeleton, thus considered, are 345.

Skeleton of a Dog

The skeleton of the dog. Axial skeleton. The skull. Cranial bones- a, occipital, 1; b, parietal, 2;…

"In geometry: (a) A plane figure inclosed between the arc of a circle, ellipse, or other central curve and two radii to its extremities from the center. Thus, in the figure, CDB is a sector of a circle." -Whitney, 1911

Sector

"In geometry: (a) A plane figure inclosed between the arc of a circle, ellipse, or other central curve…

The skeleton of a bird. Labels: a, radius and ulna; b, dorsal vertebrae; c, sacrum and pelvis; g, ploughshare bone; h, tibia; i, metatarsus; d, furculum; e, carina of the sternum; f, distal phalanx of pectoral limb.

Skeleton of a Bird

The skeleton of a bird. Labels: a, radius and ulna; b, dorsal vertebrae; c, sacrum and pelvis; g, ploughshare…

"A gastropod of the family Ovulidae and genus Radius, as R. volva, of long fusiform shape, the ends of the lips being greatly drawn out; so called from the resemblance to a weavers' shuttle." -Whitney, 1911

Shuttle Shell

"A gastropod of the family Ovulidae and genus Radius, as R. volva, of long fusiform shape, the ends…

The Fairbairn steam crane is a type of harbourside crane of an 'improved design', patented in 1850 by Sir William Fairbairn. The crane's innovation was in the use of a curved jib, made of riveted wrought iron platework to form a square-section box girder. This could reach further into the hold of a ship, clear of the deep gunwales alongside the quay. A typical size for these cranes would be able to lift 35 tons at a radius of 35 feet (11 m). They were powered by self-contained steam engines, with both boiler and engine mounted on-board the crane.

Fairbairn Steam Crane

The Fairbairn steam crane is a type of harbourside crane of an 'improved design', patented in 1850 by…

"Skeleton and Outline of African Elephant (Elephas or Loxodon africanus). fr, frontal; ma, mandible; ma', malar; fi, "finger" at end of trunk; C, cervical vertebrae; D, dorsal vertebrae; D, dorsal vertebrae; pe, pelvis; sc, scapula; st, sternum; hu, humerus; ul, ulna; ra, radius; mc, metacarpus; fe, femur; pat, patella; tib, tibia; fib, fibula; met, metatarsus." -Whitney, 1911

African Elephant Skeleton

"Skeleton and Outline of African Elephant (Elephas or Loxodon africanus). fr, frontal; ma, mandible;…

"Anterior View, Distal End, of Right Humerus of a Man. H, humerus; epc, epicondyle, or external supracondyloid protuberance; ept, epitrochlea, or internal supracondyloid protuberance; cp, capitellum, or convex articular suface for head of radius; tr, trochlea, or transversely concave articular surface for the ulna; epc and cp are together the ectocondyle, and ept and tr are together the entocondyle." -Whitney, 1911

Humerus

"Anterior View, Distal End, of Right Humerus of a Man. H, humerus; epc, epicondyle, or external supracondyloid…

"Skeleton of Horse (Equus caballus). fr, frontal bone; C, cervical vertebrae; D, dorsal vertebrae; L, lumbar vertebrae; cd, caudal vertebrae; sc, scapula; pe, pelvis; ma, mandible; hu, humerus; ra, radius; cp, carpus; mc, metacarpus; fe, femur; tib, tibia; ca, calcaneum; tar, tarsus; mt, metatarsus; p, phalanges." -Whitney, 1911

Horse Skeleton

"Skeleton of Horse (Equus caballus). fr, frontal bone; C, cervical vertebrae; D, dorsal vertebrae; L,…

Illustration showing complex numbers with a modulus equal to unity. The lines representing these numbers terminate in points lying on the circumference of a circle whose radius is unity.

Geometric Inspection of Complex Numbers

Illustration showing complex numbers with a modulus equal to unity. The lines representing these numbers…

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 to show how to find the center when given an arc and its radius.

Construction Of Center

Illustration used to show how to find the center when given an arc and its radius.

Illustration used to show how to "find an arc of a circle having a known radius, which shall be equal in length to a given straight line."

Construction Of Arc

Illustration used to show how to "find an arc of a circle having a known radius, which shall be equal…

Illustration of the development of a cone along a stretchout described with the radius OB.

Development Of Cone

Illustration of the development of a cone along a stretchout described with the radius OB.

Illustration of an irregular solid form made up of triangular surfaces unfolded on a flat surface. A is the center and the radius is equal to AB.

Irregular Solid With Triangular Surfaces

Illustration of an irregular solid form made up of triangular surfaces unfolded on a flat surface. A…

"Skeleton of the Limbs and Tail of a Carinate Bird. (The skeleton of the body is indicated by dotted lines.) F, digits; Fi, fibula; HW, carpus; MF, tarsometatarsus; MH, carpometacarpus; OA, humerus; OS, femur; Py, pygostyle; R, coracoid; Ul, ulna; Sch, scapula; St, sternum, with its keel (Cr); T, tibiotarsus; Rd, radius; Z, Z, digits of foot. (From Wiedersheim.)" A. H. Evans, 1900

Skeleton of the Limbs and Tail of a Carinate Bird

"Skeleton of the Limbs and Tail of a Carinate Bird. (The skeleton of the body is indicated by dotted…

Diagram used to prove the theorem: "A plane perpendicular to a radius at its extremity is tangent to the sphere."

Sphere Tangent to Plane

Diagram used to prove the theorem: "A plane perpendicular to a radius at its extremity is tangent to…

Diagram used to prove the theorem: "The area of the surface generated by a straight line revolving about an axis in its plane is equal to the product of the projection of the line on the axis by the circumference whose radius is perpendicular erected at the middle point of the line and terminated by the axis."

Area of Surface Generated by a Straight Line

Diagram used to prove the theorem: "The area of the surface generated by a straight line revolving about…

"If a sector revolves about its bounding radius as an axis, it generates what may be called a spherical cone."

Spherical Cone

"If a sector revolves about its bounding radius as an axis, it generates what may be called a spherical…

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…

Diagram showing how to construct a conic when given the focus and the auxiliary circle. If the focus is outside the circle, we get a hyperbola. If it's inside the circle, we get an ellipse. If the auxiliary circle is a straight line (radius is infinite), we get a parabola.

Construction of a Conic

Diagram showing how to construct a conic when given the focus and the auxiliary circle. If the focus…

Illustration used to draw lines which are radii of a circle where the center is inaccessible.

Construction of Radii of a Circle

Illustration used to draw lines which are radii of a circle where the center is inaccessible.

"Fig 27. - Bones of the right wing of a duck, Clangula islandica, A, shoulder, omos; B, elbow, ancon; C, wrist, carpus; D, end of principal finger; E, end of hand proper, metacarpus. AB, upper arm, brachium; BC, fore-arm, antibrachium; CD, whole hand or pinion, manus; composed of CE, hand proper or metacarpus, excepting d2; ED, or d2, d3, d4, fingers, digits, digiti, h, humerus; rd, radius; ul, ulna; sc, outer carpal, scapholunare or radiale; cu, inner carpal, cuneiforme or ulnare; these two composing wrist or carpus. mc, the compound hand-bone or metcarpus, composed of three metacarpal bones, bearing as many digits - the outer digit seated upon a protuberance at the head of the metacarpal, the other two situated at the end of the bone. d2, the outer or radial digit, commonly called the thumb or pollex, composed or two phalanges; d3, the middle digit, of two phalanges; d4, the inner or ulnar digit, of one phalanx d2 is the seat of the feathers of the bastard wing or alula. D to C (whole pinion), seat of the flight feathers called primaries; C to B (fore-arm), seat of the secondaries; at B and above it in direction of A, seat of tertiaries proper; below A, in direction of B, seat of scapularies (upon pteryla humeralis), often called tertiaries. The wing shown half-spread: complete extension would bring A B C D into a right line; in complete folding C goes to A, and D to B; all these motions nearly in the plane of the paper. The elbow-joint and wrist are such perfect hinges, that, in opening or closing the wing, C cannot sink below the paper, nor D fly up above the paper, as would otherwise be the effect of the pressure of the air upon the flight-feathers. Observe also rd and ul are two rods connecting B and C; the construction of their joining at B and C, and with each other, is such, that they can slide lengthwise a little upon each other. Now when the point C, revolving about B, approaches A in the arc of a circle, rd pushes on sc, while ul pulls back cu; the motion is transmitted to D, and makes this point approach B. conversely, in opening the wing, rd pulls back sc, and ul pushes on cu, making D recede from B. In other words, the angle A B C cannot be increased or diminished without similarly increasing or diminishing the angle B C D; so that no part of the wing can be opened or shut without automatically opening or shutting the rest..." Elliot Coues, 1884

The Bones of the Right Wing of a Duck

"Fig 27. - Bones of the right wing of a duck, Clangula islandica, A, shoulder, omos; B, elbow, ancon;…

"Fig. 28. - Mechanism of elbow-joint. ..., where rc and uc show respectively the size, shape, and position of the radial condyle and ulnar condyle of the humerus. It is evident that in the flexed state of the elbow, as shown in the middle figure, the radius, rd, is do pushed upon that its end projects beyond ul, the ulna; while in the opposite condition of extension, shown in the lower figure, rd is pulled back to a corresponding extent." Elliot Coues, 1884

Mechanism of the Elbow-Joint

"Fig. 28. - Mechanism of elbow-joint. ..., where rc and uc show respectively the size, shape, and position…

"Fig. 29., from a young grouse (Centrocercus urophasianus, six months old), is designed to show the composition of the carpus and metacarpus before the elements of these bones fuse together: r, radius; u, ulna; s, scapholunar or radiale; c, cuneiform or ulnare; om, a carpal bone believed to be os magnum, later fusing with the metacarpus; z, a carpal bone, supposed to be unciform, later fusing with metacarpus; 8, an unidentified fifth carpal bone, which may be called pentosteon, later fusing with the metacarpus; 7, radial or outer metacarpal bone, bearing the pollex or outer digit, consisting of two phalanges, d and k; 9', principal (median) metacarpal bone, bearing the middle finger, consisting of the two phalanges, d', d"; 9, inner or ulnar metacarpal, bearing a digit of one phalanx, d'". The pieces marked om, z, 7, 8, 9,. all fuse with 9'. (From nature by Dr. R. W. Shufeldt, U.S.A.)."Elliot Coues, 1884

The Wing Bones of a Young Grouse

"Fig. 29., from a young grouse (Centrocercus urophasianus, six months old), is designed to show the…

Illustration of a circle with radius QR.

Radius of a Circle

Illustration of a circle with radius QR.

Illustration of a circle with diameter BC, chord DF, secant MN, and tangent HK.

Chords, Secants, Diameters, and Tangents of a Circle

Illustration of a circle with diameter BC, chord DF, secant MN, and tangent HK.

Illustration of a circle with diameter AB. Radii are RO, SO, AO, and BO. ED is a chord.

Chords, Diameters, and Radii of a Circle

Illustration of a circle with diameter AB. Radii are RO, SO, AO, and BO. ED is a chord.

"Grasshopper-beam. a, rocking pillar; b, radius-bar of the parallel motion which secures verticality to the piston-rod. GRASSHOPPER-BEAM. A form of working-beam used in some steam-engines." -Whitney, 1911

Grasshopper-Beam

"Grasshopper-beam. a, rocking pillar; b, radius-bar of the parallel motion which secures verticality…

Illustration of a circle with center O and diameters AB and CD perpendicular to each other.

Circle With 2 Perpendicular Diameters

Illustration of a circle with center O and diameters AB and CD perpendicular to each other.

Illustration used to show that "A tangent to a circle is perpendicular to the radius drawn to the point of tangency."

Tangent to Perpendicular Radius Circle Theorem

Illustration used to show that "A tangent to a circle is perpendicular to the radius drawn to the point…

"Muscles of a bird (accipiter nisus), after Carus, Tab. Anat. Comp., 1828, pl. 4. a, pharynx; b, trachea; e, hyoid bone; d, ear; e, humerous; f, radius; g, ulna; h, radial finger; i, tibia; k, metatarsus; l, hind toe; m, inner toe; n, middle toe; o, outer toe. 1, biventer cervicis, with central tendon 1 a, and upper 1 b, and lower 1 c, belly. 2, complexus. 3, flexor capitis lateralis. 4, flexor longus capitis. 5, extensor magnus cervicis. 6, descendens cervicis. 7, 7, semispinales. 8, flexorsuperior capitis. 9, flexor inferior or longus capitis. 10, 10, intertransversales. 11, levator coccygis. 12, depressor coccygis. 13, cruro-coccygeus (ilio-coccygeus?). 14, pubo-coccygeus. 15 ischio-coccygeus. 16, lateralis quartus (quadratus coccygis, to tail-feathers). 17, obliquus externus abdominis. 18, cucullaris (trapezius). 19, serratus magnus. 20, pectoralis major. 21, a, b, latissimus dorsi. 22, deltoid. 23, suprascapular. 24, coraco-brachialis. 25, biceps brachii. 26, supinatpr longus. 27, anconeus longus (part of "triceps"). 28, anconeus brevis. 29, anconeus brevissimus. 30 a, 30 b, tensor patagii, carpal and radial parts. 31, tensor patagii posterior. 32, extensormetacarpi longus. 33, extensor metacarpi brevis. 34 a, flexor digitorum sublimis. 34 b, flexor digitorum profundus. 34 c, flexor metacarpi radialis. 36, flexor (meta-) carpi ulnaris. 37, glutaeus maximus. 38, adductor femoris primus. 39, sartorius. 40, latissimus femoris. 41, gracilis = ambiens: only its tendon in sight. 42, vastus; 43, iceps cruris. 44, semimembranosus. 46,46,47, gastrocnemius. 48 digastricus (chief opener of the mouth). 49, temporal. 50, long ligament. 51, cutaneous muscle of scalp. 52, masseter. 53, a muscle of the hyoid bone. 54, tibialis anticus. 55, tibialis posticus. 56, extensor hallucis. 57, flexor hallucis. 58, flaxor digitorum profundus or perforans, seen in various places: long and short head, and several tendons. 59, extensor longus digitorum, tendons seen in various places 60, abductor digiti interni. 61,61,61, flexores digitorum perforati. 62, peronaeus. 63, abductor minimi digiti. 64, abductor hallucis." Elliot Coues, 1884

Eurasian Sparrowhawk Muscles

"Muscles of a bird (accipiter nisus), after Carus, Tab. Anat. Comp., 1828, pl. 4. a, pharynx; b, trachea;…

An ellipse French curve, or irregular curve, is used to draw short elliptical radius curves by using points.

Ellipse Curve French Curves

An ellipse French curve, or irregular curve, is used to draw short elliptical radius curves by using…

A Logarithmic Spiral French curve, or irregular curve, is used to draw short elliptical radius curves by using points. The log curve is approximately closely shaped to a cycloid and other mathematical curves.

Logarithmic Spiral Curve French Curves

A Logarithmic Spiral French curve, or irregular curve, is used to draw short elliptical radius curves…

The little finger on the left hand can guide the needle point of the compass to the center.

Guiding Needle Point of Compass to Little Finger

The little finger on the left hand can guide the needle point of the compass to the center.

"On base AB, 3 1/2" long construct an equilateral triangle, using the 60-degree triangle. Bisect the angles with the 30-degree angle, extending the bisectors to the opposite sides. With these middle points of the sides as centers and radius equal to 1/2 the side, draw arcs cutting the bisectors. These intersection will be centers for the inscribed circles. With centers on the intersection of these circles and the bisectors, round off the points of the triangle as shown." —French, 1911

Drawing Tangent Circles and Lines with Compass and Triangles

"On base AB, 3 1/2" long construct an equilateral triangle, using the 60-degree triangle. Bisect the…

"Draw one and one-half inch square about center of space. Divide AE into four 3/16" spaces, with scale. With bow pencil and centers A, B, C, D draw four semicircles with 3/8" radius and so on. Complete the figure by drawing the horizontal and vertical tangents as shown." —French, 1911

Drawing Tangent to Circle Arcs with Bow Compass

"Draw one and one-half inch square about center of space. Divide AE into four 3/16" spaces, with scale.…

"Draw the diagonals of the square. With the corners of the square as centers and radius of half the diagonal draw arcs intersecting the sides of the square and connect these points." —French, 1911

Inscribe Regular Octagon in Given Square

"Draw the diagonals of the square. With the corners of the square as centers and radius of half the…

"Draw lines parallel to AB and CD at distant R from them. The intersection of these lines will be center of the required arc." —French, 1911

Draw Arc of Given radius R Tangent to Two Given Lines

"Draw lines parallel to AB and CD at distant R from them. The intersection of these lines will be center…

"At A draw the tangent AD and Chord AB produced. Lay off AC equal to half the chord AB. With center C and radius CB draw an arc intersecting AB at E, then AE will be equal in length be to the arc AB." —French, 1911

Approximating Length of Circle Arc using Straight Line

"At A draw the tangent AD and Chord AB produced. Lay off AC equal to half the chord AB. With center…

"This (five centered arc) method is based on the principle that the radius of curvature at the end of the minor axis is the third proportional to the semi-minor and semi-major axes, and similarly at the end of the major axis is the third proportional to the semi-major and semi-minor axes. The intermediate radius found is the mean proportional between these two radii." —French, 1911

Approximate Ellipse with Five Centered Arc

"This (five centered arc) method is based on the principle that the radius of curvature at the end of…

"Any noncircular curve may be approximated by tangent circle arcs, selecting a center by trial, drawing as much of an arc as will practically coincide with the curve, then changing the center and radius for the next portion, remembering always that if arcs are to be tangent, their centers must lie on the common normal at the point of tangency." —French 1911

Curve Inked with Circle Arcs

"Any noncircular curve may be approximated by tangent circle arcs, selecting a center by trial, drawing…

"Divide the circumference into a number of equal parts, drawing the radii and numbering the points. Divide the radius No. 1 into the same number of equal parts, numbering from the center. With C as center draw concentric arcs intersecting the radii of corresponding numbers, and draw a smooth curve through these intersections." —French, 1911

Draw Spiral of Archimedes

"Divide the circumference into a number of equal parts, drawing the radii and numbering the points.…

A wheel is a circular device that is capable of rotating on its axis, facilitating movement and transportation.

Side View of a Vehicle Wheel

A wheel is a circular device that is capable of rotating on its axis, facilitating movement and transportation.

The illustration of the plane descending while spiraling down. The radius of the spiral spin is getting smaller. A nose spin drive happens when the pilot intentionally or unintentionally stalls the plane and control the plane side to side in air.

Aeroplane Nose Spin Dive Flying

The illustration of the plane descending while spiraling down. The radius of the spiral spin is getting…

An illustration of creating a hand wheel by spinning while moving threaded tool to the desired radius.

Turning Hand Wheels

An illustration of creating a hand wheel by spinning while moving threaded tool to the desired radius.

A mechanical drawing exercise of drawing a curved line with circle in the middle. The image is drawn by drawing a small circle in the middle. The curved lines around the circle is drawn by using the ticked line as the radius.

Curved Line with Circle Mechanical Drawing Exercise

A mechanical drawing exercise of drawing a curved line with circle in the middle. The image is drawn…

"With a 45 degree triangle draw lines AC and BD through the center and construct three squares. Set the bow—pencil to a radius of 3∕8' and describe a circular arc in the corner of each square just touching, but not intersecting, the sides of the square. Ink the circular arcs first." —Anthony, 1904

Mechanical Drawing Exercise Three Inscribed Squares with Rounded Corners using Triangle and Bow

"With a 45 degree triangle draw lines AC and BD through the center and construct three squares. Set…

"O' is the virtual image of O formed at a spherical surface of centre C and radius CS." —Encyclopaedia Britannica, 1910

Virtual Image Formed on Spherical Surface

"O' is the virtual image of O formed at a spherical surface of centre C and radius CS." —Encyclopaedia…

When pipes are bent at ninety degree angles, a rounded bend is best as shown along with a radius as large as possible to increase discharge.

Pipe Diameter

When pipes are bent at ninety degree angles, a rounded bend is best as shown along with a radius as…

To find the equation of a circle whose center is the origin and whose radius is 3 units in length.

Circle Equation

To find the equation of a circle whose center is the origin and whose radius is 3 units in length.

Set of standard fillet and radius gages.

Radius Gages

Set of standard fillet and radius gages.

A secant is "a line which cuts a figure in any way. Specifically, in trigonometry, a line from the center of a circle through one extremity of an arc (whose secant it is said to be) to the tangent from the other extremity of the same arc; or the ratio of this line to the radius; the reciprocal of the cosine. The ratio of AB to AD is the secant of the angle A; and AB is the secant of the arc CD." —Whitney, 1889

Circle with Secant

A secant is "a line which cuts a figure in any way. Specifically, in trigonometry, a line from the center…

"A, acromion; C, coracoid; CA, carpus; CL, clavicle; H, humerus; M, metacarpals; O, ventral surface of the scapula; P, phalanges, proximal row; R, radius; T, head of humerus; U, ulna." —Whitney, 1889

Bones of the Shoulder and Upper Extremity - Front View

"A, acromion; C, coracoid; CA, carpus; CL, clavicle; H, humerus; M, metacarpals; O, ventral surface…

"An instrument for throwing stones or bullets, consisting of a strap and two strings attached to it. The stone or bullet is lodged to the strap, and, the ends of the strings being held in the hand, the sling is whirled rapidly round in a circle, and the missile thrown by letting go one of the strings. The velocity with which the projectile is discharged is the same as that with which it is whirled round in a circle having the string for its radius. The sling was a very general instrument of war among ancients." —Whitney, 1889

Sling

"An instrument for throwing stones or bullets, consisting of a strap and two strings attached to it.…

Also called a parabolic spiral, it is a type of Archimedean Spiral. A spiral is defined as "a plane curve which runs continuously round and round, a fixed point, called the center, with constantly increasing radius vector, so that the latter is never normal to the curve; also, a part of such a curve in the course of which the radius from the center describes 360 degrees." —Whitney, 1889

Fermat's Spiral

Also called a parabolic spiral, it is a type of Archimedean Spiral. A spiral is defined as "a plane…