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

This image of a giant Brazilian Tree shows about fifteen men with arms outstretched are needed to embrace…

An illustration showing how to construct the center and radius of a circle that will tangent a given…

An illustration showing how to construct the center and radius of a circle that will tangent a given…

An illustration showing how to construct the center and radius of a circle that will tangent a given…

An illustration showing how to construct a center and radius of a circle that will tangent the three…

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

A circle with labels for radius, diameter, and circumference. The visual will help to remember what…

An illustration showing how to construct a circle tangent to a given line and given circle. "Add the…

An illustration showing how to construct a circle that tangents two given lines and goes through a given…

An illustration showing how to construct a circle that tangents two given lines inclined to one another…

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

Illustration of a circle which illustrates that through three points not in a straight line one circumference,…

Illustration showing that a circle may be considered as made up of triangles whose bases form the circumference.

Illustration where one leg of a right triangle is the diameter of a circle. The tangent at the point…

Illustration showing that from any point in the circumference of a circle, a chord and a tangent are…

Illustration used to prove "If two circumferences meet at a point which is not on their line of centers,…

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

Illustration of of construction of a radius when given only a part of the circumference.

Illustration of of construction of a radius when given only a part of the circumference.

"A cycloid is the curve generated by the motion of a point on the circumference of a circle rolled along…

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

"In geometry, a curve generated by the motion of a point on the circumference of a circle which rolls…

Epicycloid is generated by a circle rolled outside of another circle, whereas a hypocycloid is circle…

"Epicycloidal wheel, a wheel or ring fixed to a framework, toothed on its inner side, and having in…

An illustration showing how to construct an equilateral triangle inscribed in a circle. "With the radius…

An illustration showing how to construct a hexagon in a given circle. "The radius of the circle is equal…

Illustration showing a line with a midpoint drawn from a given exterior point to a given circumference.

Illustration showing a line that remains parallel to a given line, and touches at one end a given circumference.

An illustration showing how to construct a pentagon inscribed in a circle. "Draw the diameter AB, and…

An illustration showing how to construct a pentagon on a given line. "From B erect BC perpendicular…

Diagram used to prove the theorem: "All points in the circumference of a circle of a sphere are equally…

An illustration showing how to construct a square circumscribed about a circle. "Draw the diameters…

An illustration showing how to construct a square inscribed in a circle. "Draw the diameter AB, and…

"System of Wheels.—As the wheel and axle is only a modification of the simple lever, so a system…

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

An illustration showing how to construct a tangent between 2 given circles. "Join the centers C and…

An illustration showing how to construct a tangent to 2 given circles of different diameters. "Join…

An illustration showing how to construct a tangent circle to 2 given circles. "Join centers C and c…

An illustration showing how to construct a tangent to a circle through a given point in a circumference.…

An illustration showing how to construct a tangent to a circle through a given point outside of a circumference.…

An illustration showing how to construct a tangent circle to a circle with a given radius. "Through…

Right triangle inscribed in semicircle. Illustration shows that the perpendicular from any point in…

An illustration showing how to construct two circles that tangent themselves and two given lines. "Draw…