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Analytic Geometry

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Distance Between Two Points.

Line In Space (Two Point Method).

Direction Angles Of A Segment.

Line In Space (Direction Angle Method).

Direction Angles Of An Axis.

Euclidean distance

Pythagorean theorem

Distance from a point to a line

Distance from a point to a plane

Distance Between Two Lines

Line (geometry)

Line segment

Direction cosine

Cartesian tensor

Euler angles

Direction (geometry)

Parallel Movement Transformation.

Parallel (geometry)

Parallel Movement Transformation Can Move A Set Of Points In The Same Direction At The Same Distance From Thier Original Locations.

Line In Space. angles are in radians. direction angle method. m[1] is the distance moved from point {x[1],y[1],z[1]}in the direction{[1],[1],[1]}.

Direction Angles Of A Segment. Angles Are In Radians.

Direction Angles Of An Axis. Angles Are In Radians.

Line In Space.Two Point Method. m[1] is the distance moved from point {x[1],y[1],z[1]}

towards point {x[2],y[2],z[2]}

The Distance Between Two Points Is A Straight Line Who's Length Between Is The Distance.

Rotation Of A Point About An Axis.

An Axis Is A Line That Passes Through The Point Location {x[0]=0,y[0]=0,z[0]=0} Or The Origin Of The Coordinate System.

Rotation Of A Point About An Axis. [1] Is The Rotation Angle In Radians. {[1],[1],[1]} Are The Direction Angles Of The Axis In Radians.

Point {x[4],y[4],z[4]} Is The Point Too Be Rotated. Point {x[5],y[5],z[5]} Is The Location Of Point {x[4],y[4],z[4]} After Rotation.

Rotation Of A Point About A Segment.

Rotation Of A Point About An Segment, Segment {{x[1],y[2],z[1]},{x[2],y[2],z[2]}},Point To Be Rotated About Segment {x[3],y[3],z[3]} By Angle {[1]} In Radians. Point {x[6],y[6],z[6]} Is The Location Of Point {x[3],y[3],z[3]} After Rotation.

Rotation

Axis Angle Representation

Rotation Around A Fixed Axis

Euler's Rotation Theorem

Euler Angles

Parabola Curve.

Parabola Curve, f Is The Focal Point. -x to +x is the width.

Parabola

Ellipse Curve.

Ellipse Curve, F1 And F2 Are The Focal Points. a Is the semi-major axis And b is the semi-minor axis. c Is A Focal Point Distance To The Center. x = -a to a, producting two y values, the lower and the upper semi-minor curves.

Ellipse