Illustration of 36 congruent cubes stacked at various heights with outer edges forming a square. A 3-dimensional…

Illustration of 36 congruent cubes stacked to resemble a 1 by 1 by 1 cube on a 2 by 2 by 2 cube on a…

Illustration of 39 congruent cubes stacked at various heights. A 3-dimensional representation on a 2-dimensional…

Illustration of 4 congruent cubes stacked in ones and twos. A 3-dimensional representation on a 2-dimensional…

Illustration of 50 congruent cubes stacked at various heights. A 3-dimensional representation on a 2-dimensional…

Illustration of 56 congruent cubes stacked in twos in the shape of a square. A 3-dimensional representation…

Illustration of 56 congruent cubes stacked in heights of 1, 4, and 5 cubes that form a zigzag pattern.…

Illustration of 57 congruent cubes stacked in heights of 1 and 5 cubes that form a zigzag pattern. A…

Illustration of 59 congruent cubes stacked at various heights. A 3-dimensional representation on a 2-dimensional…

Illustration of 64 congruent cubes stacked so they form a cube that measures 4 by 4 by 4. A 3-dimensional…

Illustration of 65 congruent cubes stacked at heights increasing from 1 to 5 cubes. A 3-dimensional…

Any four-point on a curve of the second order and the four-side formed by the tangents at these points…

A large cylinder containing 2 smaller congruent cylinders. The small cylinders are externally tangent…

Illustration of 3 right congruent tangent circular cylinders. The height of all the cylinders is greater…

Illustration of 3 right congruent tangent circular cylinders.

Illustration of 3 right congruent tangent circular cylinders. The height of all the cylinders is greater…

A large cylinder containing 3 smaller congruent cylinders. The small cylinders are externally tangent…

Illustration of 4 congruent tangent right circular cylinders. The height of all the cylinders is greater…

A large cylinder containing 4 smaller congruent cylinders. The small cylinders are externally tangent…

Illustration of 4 congruent cylinders with diameters less than the height. The cylinders are externally…

A large cylinder containing 7 smaller congruent cylinders. The small cylinders are externally tangent…

Illustration of 7 congruent cylinders with diameters less than the height. 6 of the cylinders are equally…

Illustration of 7 congruent cylinders with diameters less than the height. 6 of the cylinders are equally…

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

Illustration of a 12-point star (24-sided polygon) inscribed in a regular dodecagon. This can also be…

Illustration of an ellipse, whose major axis is vertical, inscribed in a circle whose diameter is equal…

Illustration of 2 concentric ellipses, whose major axes are vertical, inscribed in a circle whose diameter…

An illustration of 2 ellipses that have the equal vertical axes, but different horizontal axes. The…

An illustration of 2 ellipses that have the equal vertical axes, but different horizontal axes. The…

An illustration of 3 concentric ellipses that are tangent at the end points of the vertical axes. The…

An illustration of 3 concentric ellipses that are tangent at the end points of the vertical axes, which…

An illustration of 3 concentric ellipses that are tangent at the end points of the vertical axes. The…

An illustration of 4 concentric ellipses that are tangent at the end points of the vertical axes. The…

An illustration of 4 concentric ellipses that are tangent at the end points of the vertical axes. The…

An illustration of 4 concentric ellipses that are tangent at the end points of the vertical axes, which…

An illustration of 5 concentric ellipses that are tangent at the end points of the vertical axes. The…

An illustration of 5 concentric ellipses that are tangent at the end points of the vertical axes, which…

An illustration of 6 concentric ellipses that are tangent at the end points of the vertical axes. The…

An illustration of 6 concentric ellipses that are tangent at the end points of the vertical axes, which…

Illustration of concentric ellipses, whose major axes are vertical, inscribed in a circle whose diameter…

Illustration of concentric ellipses, whose major axes are vertical, inscribed in a circle whose diameter…

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

"If a body be fastened to a string and whirled, so as to give it a circular motion, there will be a…

"The galvanometer is an instrument for determining the strength of an electric current by means of the…

An illustration showing a model of 2 circles with tangent lines, diameters, and radii that illustrates…

An illustration showing a model of 2 circles with tangent lines, diameters, and radii that illustrates…

An illustration showing a model of a circle with an exterior angle formed between a tangent and a secant…

An illustration showing a model of a circle with angles formed between tangents and secants that illustrates…

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

Illustration of a cyclic hexagon, a hexagon inscribed in a circle. This can also be described as a circle…

Illustration of a cyclic hexagon, a hexagon inscribed in a circle. This can also be described as a circle…

Illustration of a hyperbola and its auxiliary circle. "Any ordinate of a hyperbola is to the tangent…

All triangles formed by a tangent and the asymptotes of an hyperbola are equal in area.

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

The lines joining any point on a conic to the two foci are equally inclined to the tangent and normal…

A Lemniscate is, in general, a curve generated by a point moving so that the product of its distances…

The segments between the point of intersection of two tangents to a conic and their points of contact…

Illustration showing that the area of a parabolic segment made by a chord is two thirds the area of…