find the Simson line of a given triangle with respect to a given point on the circumcircle of the triangle - Maple Help

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geometry[SimsonLine] - find the Simson line of a given triangle with respect to a given point on the circumcircle of the triangle

Calling Sequence

SimsonLine(sl, N, T)

Parameters

sl

-

the name of the Simson line

N

-

point on the circumcircle

T

-

triangle

Description

• 

The feet of the perpendiculars from any point N on the circumcircle of a triangle T to the sides of the triangle are collinear. The line of collinearity is called the Simson line of the point N for the triangle T

• 

For a detailed description of the Simson line sl, use the routine detail (i.e., detail(sl))

• 

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

• 

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

Examples

withgeometry:

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

pointN,12,12:

SimsonLinesl,N,T

sl

(1)

detailsl

assume that the names of the horizontal and vertical axes are _x and _y, respectively

name of the objectslform of the objectline2dequation of the line1222_x_y2+22+1222=0

(2)

drawT,sl,N

See Also

geometry[point], geometry[triangle]


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