This mathematics ClipArt gallery offers 87 illustrations of analytical geometry, which is also called coordinate geometry, Cartesian geometry, algebraic geometry, or simply analytic geometry. It is the study of geometry using principles of algebra.

Transforming from one set of rectangular axes to another with the same origin, but different direction.

Illustration showing the periodic center of motion as it often happens when two positions of a line…

Aronhold stated if any three bodies have plane motion their three virtual centers are three points on…

Illustration showing a centroid, "the curve passing through the successive positions of the instantaneous…

A circle in its common, or central form. This is used to assist students in finding the equation of…

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

Illustration showing a conchoid, "a curve, shell-like in flexure (whence the name), invented by Nicomedes…

"Since these curves are not closed, one pair cannot be used for continuous motion; but a pair of such…

Illustration showing a cycloid curve. "The curve generated by a point in the plane of a circle when…

Illustration showing a cycloid curve. "The curve generated by a point in the plane of a circle when…

An illustration showing how to construct a cycloid. "The circumference C=3.14D. Divide the rolling circle…

Illustration showing cycloid curves. "The curve generated by a point in the plane of a circle when the…

Finding the perpendicular distance of points whose equation is x cosa + y sina = p.

Each section is an ellipse. The surface is generated by an ellipse moving parallel to itself along two…

Tangent lines are drawn from a given external point to a circle. The equation is found by joining their…

An illustration showing how to construct an evolute of a circle. "Given the pitch p, the angle v, and…

"Folium of Descartes, with its asymptote. The equation is (4-y)(y-1)2 = 3x2y ... In geometry, a plane…

Three dimensional representation of a variable hyperbola moving parallel to itself along the parabolas…

Two dimensional representation of variable hyperbola moving parallel to itself along the parabolas as…

An illustration showing how to use isometric perspective. "This kind of perspective admits of scale…

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

Illustration showing two points a and b to be in the same plane and parallel.

Illustration showing two points a and b to be in the same plane and parallel.

Illustration showing three points a, b, and c in motion. The magnitude and direction of a and b are…

Illustration used "If three component motions ab, ac, and ad are combined, their resultant af will be…