compute the cross ratio (or anharmonic ratio, or double ratio) of four points - Maple Help

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geometry[CrossRatio] - compute the cross ratio (or anharmonic ratio, or double ratio) of four points

Calling Sequence

CrossRatio(A, B, C, F)

Parameters

A, B, C, F

-

four points

Description

• 

Given four points A, B, C, F, the routine CrossRatio(A, B, C, F) computes the cross ratio of A, B, C, F taken in this order.

• 

If A, B, C, F are four distinct points on an ordinary line, the cross ratio of A, B, C, F taken in this order is defined as:

SensedMagnitudeA,CSensedMagnitudeC,BSensedMagnitudeA,DSensedMagnitudeD,B

• 

The command with(geometry,CrossRatio) allows the use of the abbreviated form of this command.

Examples

withgeometry:

pointA,0,0,pointB,3,3,pointC,7,7,pointF,2111,2111:

CrossRatioA,B,C,F

1282249832882288

(1)

CrossRatioA,C,B,F

12822418328826272

(2)

See Also

geometry[AreHarmonic], geometry[SensedMagnitude]


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