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. ### Angle

Finding the angle between two lines whose equations are in intercept form. ### Rectangular Axes

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

Finding the distance between two points using polar coordinates. ### Line Bisectors

Multiple lines showing many bisectors on the coordinate plane. ### Periodic Center of Motion

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

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

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

A circle and triangle situated on coordinate planes. ### Circle Polar Point

Intersection of lines between a circle and its polar point. ### Common Form of Circle

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

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

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

Instantaneous axis of two cones, each with angular velocity ### Polar Coordinates

Finding the equation of a line with polar coordinates. ### Rectangular Coordinates

Changing from polar to rectangular coordinates. ### Conchoidal Curves

Illustration showing conchoidal curves. ### Conchoidal Curves

Illustration showing conchoidal curves. ### Confocal Curves

Illustration showing confocal curves. ### Equilateral Curves

Illustration showing equilateral curves. ### Motion of Open Curves

"Since these curves are not closed, one pair cannot be used for continuous motion; but a pair of such… ### Pascal's Volute Curves

Illustration showing Pascal's Volute curves. ### Trajectory Curves

Illustration showing trajectory curves. ### Cycloid

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

Illustration showing a cycloid curve. "The curve generated by a point in the plane of a circle when… ### Construction Of A Cycloid

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

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

Showing distance between two points on a coordinate plane. ### Perpendicular Distance

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

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

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

Finding the equation of a circle with the origin as its center. ### Line Equation

To find the equation of a straight line in "tangent" form. ### Line Equation

Finding the equation of a line through two given points. ### Normal Equation

Finding the equation of the normal at any point on a circle. ### Polar Equation

Finding the polar equation of a straight line. ### Construction Of An Evolute Of A Circle

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

Polar coordinate example. Ex. (4, 60 degrees) ### Equation Example

Example of an equation with a given external point. ### Folium of Descartes

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

A line with a standard form equation. ### Intercept Form

A line with intercept form equation. ### Perpendicular Form

A line on the coordinate plane showing evidence of "perpendicular" form. ### Generate Hyperbola

Generating a hyperbola from two equal and parallel circular disks. ### Hyperbolic Parabaloid

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

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

Equation of a line with two given points and a given inclination. ### Construction Using Isometric Perspective

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

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

Finding the length of a tangent from a given point to a circle. ### Straight Line

A positive slope line making a 60 degree angle with the x-axis. ### Straight Line

Finding the polar equation of a straight line by passing through two given points. ### Alternate Method

Another method for using perpendicular form. ### Components of Momentum

The aggregate of the components of momentum. ### Motions Of 2 Points In Same Plane And Parallel

Illustration showing two points a and b to be in the same plane and parallel. ### Motions Of 2 Points In Same Plane And Parallel

Illustration showing two points a and b to be in the same plane and parallel. ### Motions Of 3 Points

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

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