This mathematics ClipArt gallery offers 48 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.

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…

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…

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

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…

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…

Illustration showing that the rolling of non-cylindrical surfaces. "If the angular velocity ratio of…

the octant of the wave surface cuts each coordinate plane in a circle and an ellipse.

Illustration "where ad is the given resultant, if the two components have the magnitudes represented…

Illustration used to resolve a motion into two components, one of which is perpendicular, and the other…

Illustration for rigidly-connected points. "If two points are so connected that their distance apart…

Illustration for rigidly-connected points. In the series of links shown, c and d are fixed axes and…

Illustration showing a section of the rolling surfaces by a plane perpendicular to their straight line…

An illustration showing how to construct Shield's anti-friction curve. "R represents the radius of the…

An illustration showing how to construct an arithmetic spiral. "Given the pitch p and angle v, divide…

The straight line is the simplest type of locus and the simplest first degree equation.

Illustration showing how to find the cubed roots of unity by applying DeMoivre's Theorem.

Illustration showing how to find the fifth roots of unity by applying DeMoivre's Theorem.

Illustration showing two component forces ab and ac acting upon point a. The result is the vector ad…