Illustration showing the golden angle. The golden angle is the smaller of two angles created by dividing…

"In all the arc lamps in common use, the coil, by means of which the automatic maintenance of the arc…

"The arc lamp is essentially a device for automatically separating the carbons when the current is turned…

"Illustration showing the detail of a carbon arc lamp; S, solenoid; c, clutch; w, clutch-washer; T,…

"Since arc lamps are connected in series, any particular lamp that is to be extinguished must be short-circuited.…

Arc lighting, which used two carbon rods conducting electricity to produce light. -Atkinson 1903

Illustration showing arcs measured in positive and negative angles.

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

An illustration showing how to construct a circle arc without recourse to its center, but its chord…

An illustration of an arc of a circle. An arc is any part of the circumference of a circle.

Illustrations of a circle with arc, chord, inscribed angle, and circumscribed about a polygon.

Illustration of a circle that can be used to show that an "angle at the center of a circle is measured…

Illustration of a circle that can be used to show that an "angle at the center of a circle is measured…

Illustration of a circle that can be used to show that an "angle at the center of a circle is measured…

Illustration used to show that "The diameter perpendicular to a chord bisects the chord and also its…

An illustration showing a circle with radius r, diameter d, and chord c.

A design created by dividing a circle into 4 equal arcs and reflecting each arc toward the center of…

Illustration of a sector of a circle. A sector is the space between an arc and two radii drawn to the…

Illustration of a sector of a hollow circle. A sector is the space between an arc and two radii drawn…

Illustration of a circle with two intersecting chords within the circumference. The angle formed is…

Illustration used to show that "In equal circles, or in the same circle, if two chords are equal, they…

Illustration used to show that "In equal circles, or in the same circle, if two chords are equal, they…

Illustration used to show that "In equal circles, or in the same circle, if two chords are unequal,…

Illustration used to show that "In equal circles, or in the same circle, if two chords are unequal,…

Illustration used to show that "In equal circles, or in the same circle, if two chords are unequal,…

Illustration of equal circles to show that two central angles have the same ratio as their intercepted…

Illustration of equal circles to show that an inscribed angle is measured by half the arc intercepted…

Illustration showing various circles and the angles formed by intersecting lines.

Illustration of a circle with parallels intercepting equal arcs on a circumference.

A design created by dividing a circle into 4 equal arcs and creating a reflection of each arc toward…

A design created by dividing a circle into 4 equal arcs and reflecting each arc toward the center of…

A design created by dividing a circle into 4 equal arcs and reflecting each arc toward the center of…

A design created by dividing a circle into 4 equal arcs and creating a reflection of each arc toward…

A design created by dividing a circle into 4 equal arcs and creating a reflection of each arc toward…

"Join AB and BC, bisect AB and BC by perpendiculars. Their intersection will be the center of the required…

"Condensing Apparatus for Steamer's Side Lights.—By means of this application of the condensing…

"Condensing Apparatus for Steamer's Side Lights.—By means of this application of the condensing principle…

"When all of the positive plates are connected on one side, and all of the negative plates are connected…

Illustration of of construction of an arc when the chord and height of the segment are given.