find the Euler line of a given triangle - Maple Help

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geometry[EulerLine] - find the Euler line of a given triangle

Calling Sequence

EulerLine(Ell, T)

Parameters

Ell

-

the name of the Euler line

T

-

triangle

Description

• 

The Euler line Ell of triangle T is the line on which the orthocenter, centroid and circumcenter lie.

• 

For a detailed description of the Euler line, use the routine detail (e.g., detail(Ell))

• 

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

• 

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

Examples

withgeometry:

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

EulerLineEll,T

Ell

(1)

detailEll

name of the objectEllform of the objectline2dequation of the line23+2a3=0

(2)

See Also

geometry[centroid], geometry[circumcircle], geometry[draw], geometry[orthocenter], geometry[triangle]


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