An illustration showing how to construct a cyma, or two circle arcs that will tangent themselves, and two parallel lines at given points A and B. "Join A and B; divide AB into four equal parts and erect perpendiculars. Draw Am at right angles from A, and Bn at right angles from B; then m and n are the centers of the circle arcs of the required cyma."

Construction Of A Cyma

An illustration showing how to construct a cyma, or two circle arcs that will tangent themselves, and…

"Series wound dynamo, used for series aarc lighting, and as a booster for increasing the pressure on a feeder carrying current furnished by some othe generator." — Hawkins, 1917

Series wound dynamo

"Series wound dynamo, used for series aarc lighting, and as a booster for increasing the pressure on…

Draftsman's first method for creating an ellipse

Ellipse First Method

Draftsman's first method for creating an ellipse

Draftsman's fourth method for drawing an ellipse, case 2

Ellipse Fourth Method Case 2

Draftsman's fourth method for drawing an ellipse, case 2

Illustration used to show how to draw an ellipse by circular arcs.

Construction Of Ellipse

Illustration used to show how to draw an ellipse by circular arcs.

"In architecture, the swelling or outward curve of the profile of the shaft of a column. Entasis. e e, arcs of entasis." -Whitney, 1911

Entasis

"In architecture, the swelling or outward curve of the profile of the shaft of a column. Entasis. e…

"Extradosed Arch. a, abutments; v, voussoirs; s, springs; i, imposts; In, intrados; p, piers; k, keystone; Ex, extrados."-Whitney, 1902

Extradosed Arch

"Extradosed Arch. a, abutments; v, voussoirs; s, springs; i, imposts; In, intrados; p, piers; k, keystone;…

An illustration showing a model that illustrates the following relationships: a:x = x:a - x, x = √(a&sup2 + (a/2)&sup2 - a/2).

Model Of Geometric Proportions

An illustration showing a model that illustrates the following relationships: a:x = x:a - x, x = √(a²…

"Capital and Springing of Arc, from the Hall of Abencerrages, Alhambra." — The Encyclopedia Britannica, 1910

Hall of Abencerrages

"Capital and Springing of Arc, from the Hall of Abencerrages, Alhambra." — The Encyclopedia Britannica,…

Draftsman's second method for drawing a hyperbola

Hyperbola Second Method

Draftsman's second method for drawing a hyperbola

"Curves other than arcs of circles are drawn with the pencil or ruling pen by means of curved or irregular-shaped rulers, called irregular curves. A series of points is first determined through which the curved line is to pass. The line is then drawn through these points by using such parts of the irregular curve as will pass through several of the points at once, the curve being shifted from time to time as required." — Hallock, 1905

Irregular Curves

"Curves other than arcs of circles are drawn with the pencil or ruling pen by means of curved or irregular-shaped…

An illustration of an arc electric lamp or an arc lamp which produces light by an electric arc.

Arc Electric Lamp

An illustration of an arc electric lamp or an arc lamp which produces light by an electric arc.

"Lancet Arch., Horseshoe Arch."-Whitney, 1902

Lancet Arch

"Lancet Arch., Horseshoe Arch."-Whitney, 1902

"Ogee Arch., Equilateral Arch."-Whitney, 1902

Ogee Arch

"Ogee Arch., Equilateral Arch."-Whitney, 1902

Draftsman's first method for drawing a parabola

Parabola First Method

Draftsman's first method for drawing a parabola

Pair of circular pulleys connected b a cord, showing the range of motion as arcs

Pulley

Pair of circular pulleys connected b a cord, showing the range of motion as arcs

"In ordinary work the usual way of rectifying an arc is to step around it with the dividers, in spaces small enough as practically to coincide with the arc, and to step off the same number on the right line." —French, 1911

Rectifying Arc Using Dividers

"In ordinary work the usual way of rectifying an arc is to step around it with the dividers, in spaces…

"Diagram of the simple reflex arc. R, receptor; A, afferent (sensory) neuron; E, efferent (motor) meuron; M, muscle." —Martin, 1917

Reflex Arc

"Diagram of the simple reflex arc. R, receptor; A, afferent (sensory) neuron; E, efferent (motor) meuron;…

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…

"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…

An illustration showing a circle sector with radius r, center/central angle v, and length of circle arc b.

Circle Sector

An illustration showing a circle sector with radius r, center/central angle v, and length of circle…

An illustration showing a circle sector with center/central angle v and polygon angle w.

Circle Sector

An illustration showing a circle sector with center/central angle v and polygon angle w.

An illustration showing a circle sector with height of segment h and radius r.

Circle Sector

An illustration showing a circle sector with height of segment h and radius r.

Diagram of a sphere with sectors and arcs drawn.

Sphere With Sectors and Arcs

Diagram of a sphere with sectors and arcs drawn.

"Segmental Arch.; Semicircular arch."-Whitney, 1902

Segmental Arch

"Segmental Arch.; Semicircular arch."-Whitney, 1902

"Skew Arch."-Whitney, 1902

Skew Arch

"Skew Arch."-Whitney, 1902

Illustration of a sphere with sectors and arcs.

Sphere With Sectors and Arcs

Illustration of a sphere with sectors and arcs.

A sphere with arcs and poles. "The distance of all points in the circumference of a circle of a sphere from its poles are equal."

Sphere With Arcs and Poles

A sphere with arcs and poles. "The distance of all points in the circumference of a circle of a sphere…

A sphere with arcs drawn.

Sphere With Arcs

A sphere with arcs drawn.

Illustration of a sphere with arcs drawn.

Arcs Drawn on Sphere

Illustration of a sphere with arcs drawn.

An illustration of a sphere showing diameter, arcs, and circles. A sphere is a solid bounded by a curved surface, every point of which is equally distant from a point within, called the center.

Sphere with arcs and circles labeled.

An illustration of a sphere showing diameter, arcs, and circles. A sphere is a solid bounded by a curved…

An illustration of a sphere showing diameter, arcs, and circles. A sphere is a solid bounded by a curved surface, every point of which is equally distant from a point within, called the center. This shows the zones of a sphere.

Sphere With Arcs, Circles, and Zones Labeled.

An illustration of a sphere showing diameter, arcs, and circles. A sphere is a solid bounded by a curved…

An illustration of a sphere showing a radius of 1 foot. Illustration could be used for calculating volume.

Sphere With a Radius of 1 foot

An illustration of a sphere showing a radius of 1 foot. Illustration could be used for calculating volume.

Diagram showing 2 superimposed symmetrical spherical triangles.

Superimposed Symmetrical Spherical Triangles

Diagram showing 2 superimposed symmetrical spherical triangles.

Diagram showing 2 symmetrical spherical triangles.

Symmetrical Spherical Triangles

Diagram showing 2 symmetrical spherical triangles.

"Stilted Arches.-Modern Romanesque."-Whitney, 1902

Stilted Arches

"Stilted Arches.-Modern Romanesque."-Whitney, 1902

An illustration showing how to construct a talon, or two circle arcs that will tangent themselves, and meet two parallel lines at right angles in the given points A and B. "Join A and B; divide AB into four equal parts erect perpendiculars; then m and n are the centers of the circle arcs of the required talon."

Construction Of A Talon

An illustration showing how to construct a talon, or two circle arcs that will tangent themselves, and…

Draftsman's method to draw a tangent, AB, to a circle

Tangent To A Circle

Draftsman's method to draw a tangent, AB, to a circle

Draftsman's method to draw a line tangent to two given circles

Tangent To Two Circles

Draftsman's method to draw a line tangent to two given circles

Diagram showing a spherical triangle.

Spherical Triangle

Diagram showing a spherical triangle.

Diagram showing a spherical triangle constructed by the intersection of polar arcs.

Spherical Triangle

Diagram showing a spherical triangle constructed by the intersection of polar arcs.

Diagram showing a spherical triangle constructed by the intersection of polar arcs.

Spherical Triangle

Diagram showing a spherical triangle constructed by the intersection of polar arcs.

Diagram showing a spherical triangle constructed by the intersection of polar arcs.

Spherical Triangle

Diagram showing a spherical triangle constructed by the intersection of polar arcs.

Diagram showing a 2 symmetrical spherical triangles.

Two Symmetrical Spherical Triangles

Diagram showing a 2 symmetrical spherical triangles.