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Analytical Geometry

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Clipart 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.


Center of Motion, Periodic
Illustration showing the periodic center of motion as it often happens when two positions of a line are known and they are moving in the same plane and we wish to find an axis about which this line co...
Centrodes
Aronhold stated if any three bodies have plane motion their three virtual centers are three points on one straight line...
Centroid
Illustration showing a centroid, "the curve passing through the successive positions of the instantaneous centre of a body having a combined motion of rotation and translation is called a centroid." ...
Circle Polar Point
Intersection of lines between a circle and its polar point....
Complex Numbers, Geometric Inspection of
Illustration showing complex numbers with a modulus equal to unity. The lines representing these numbers terminate in points lying on the circumference of a circle whose radius is unity....
Conchoid
Illustration showing a conchoid, "a curve, shell-like in flexure (whence the name), invented by Nicomedes in the 2nd century B.C., and used by him for finding two mean proportionals."...
Conic Motion
Instantaneous axis of two cones, each with angular velocity...
Curves, Conchoidal
Illustration showing conchoidal curves....
Curves, Conchoidal
Illustration showing conchoidal curves....
Curves, Confocal
Illustration showing confocal curves....
Curves, Equilateral
Illustration showing equilateral curves....
Curves, Motion of Open
"Since these curves are not closed, one pair cannot be used for continuous motion; but a pair of such curves may be well adapted to sectional wheels requiring a varying angular velocity." This figure...
Curves, Pascal's Volute
Illustration showing Pascal's Volute curves....
Curves, Trajectory
Illustration showing trajectory curves....
Cycloid
Illustration showing a cycloid curve. "The curve generated by a point in the plane of a circle when the circle is rolled along a straight line and always in the same plane."...
Cycloid
Illustration showing a cycloid curve. "The curve generated by a point in the plane of a circle when the circle is rolled along a straight line and always in the same plane."...
Cycloid, Construction Of
An illustration showing how to construct a cycloid. "The circumference C=3.14D. Divide the rolling circle and base line C into a number of equal parts, draw through the division point the ordinates ...
Cycloids
Illustration showing cycloid curves. "The curve generated by a point in the plane of a circle when the circle is rolled along a straight line and always in the same plane."...
Ellipsoid
Each section is an ellipse. The surface is generated by an ellipse moving parallel to itself along two ellipses as directices....
Evolute Of A Circle, Construction Of
An illustration showing how to construct an evolute of a circle. "Given the pitch p, the angle v, and radius r. Divide the angle v into a number of equal parts, draw the radii and tangents for each ...
Folium of Descartes
"Folium of Descartes, with its asymptote. The equation is (4-y)(y-1)2 = 3x2y ... In geometry, a plane cubic curve having a crunode, and one real inflexion, which lies at infinity...
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 as directrices....
Hyperbolic Parabaloid
Two dimensional representation of variable hyperbola moving parallel to itself along the parabolas as directrices....
Isometric Perspective, Construction Using
An illustration showing how to use isometric perspective. "This kind of perspective admits of scale measurements the same as any ordinary drawing, and gives a clear representation of the object. It ...
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