find the pedal triangle of a point with respect to a triangle - Maple Help

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geometry[PedalTriangle] - find the pedal triangle of a point with respect to a triangle

Calling Sequence

PedalTriangle(pT, P, T, n)

Parameters

pT

-

the PedalTriangle triangle to be created

P

-

point

T

-

triangle

n

-

(optional) list of three names denoting the names of three vertices of the pedal triangle

Description

• 

The pedal triangle pT of point P with respect to triangle T is the triangle formed by the feet of the perpendiculars drawn from point P to the sides of T (or their extensions).

• 

If the optional argument is given and is a list of three names, these three names will be assigned to the three vertices of the pedal triangle pT

• 

For a detailed description of the pedal triangle pT, use the routine detail (i.e., detail(pT))

• 

Note that the routine only works if the vertices of triangle T are known.

• 

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

Examples

withgeometry:

triangleT,pointA,0,0,pointB,2,0,pointC,1,3:

pointP,4,4:

PedalTrianglepT,P,T,A1,B1,C1

pT

(1)

detailpT

name of the objectpTform of the objecttriangle2dmethod to define the trianglepointsthe three vertices1,3,85,245,4,0

(2)

drawP,Tcolor=blue,pTcolor=green,printtext=true

See Also

geometry[midpoint], geometry[triangle]


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