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. ### Rolling of Non-cylindrical Surfaces

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

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

A straight line through the origin of a coordinate plane. ### Cassinian Oval

Illustration showing a Cassinian Oval. ### Alternate Form, Perpendicular Distance

An alternate form of the perpendicular distance method. ### Coordinate Plane

A coordinate planes with the quadrants labeled showing which value (x or y) is positive or negative. ### Coordinate Plane

A circle with part of a triangle inscribed in it. They are lying on a coordinate plane. ### Given Point

Finding the equation of a line drawn through a given point at a given direction. ### Polar of Point

Constructing the polar of a given point P with respect to a circle. ### Polar Property

If the chords of a circle are drawn through a fixed point, then the points of intersection of the pairs… ### Radical Center of 3 Circles

Given any three circles, the common chords meet at one point. ### Point Ratio

Showing how to find points on a coordinate plane. Also, shows an example of the midpoint formula. ### Vector Addition Given Resultant

Illustration "where ad is the given resultant, if the two components have the magnitudes represented… ### Vector Motion Into Two Components - Resultant

Illustration used to resolve a motion into two components, one of which is perpendicular, and the other… ### Velocities Of Rigidly-connected Points

Illustration for rigidly-connected points. "If two points are so connected that their distance apart… ### Velocities Of Rigidly-connected Points

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

Illustration showing a section of the rolling surfaces by a plane perpendicular to their straight line… ### Construction Of Shield's Anti-friction Curve

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

Any system of coordinate axes to another set which is parallel to the former, but with different origins. ### Construction Of An Arithmetic Spiral

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

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

Illustration showing a tractrix curve. ### Transform Coordinates

Transformation of coordinates to new axes. ### Motion of Translation

Illustration showing the motion of translation of two parallel motions. ### Cubed Roots of Unity

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

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