SimsonLine - 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

Parameters

Description

Examples

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

(1)

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

(2)

See Also

geometry[point]

geometry[triangle]

 


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