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geometry

  

NagelPoint

  

find the Nagel point of a given triangle

 

Calling Sequence

Parameters

Description

Examples

Calling Sequence

NagelPoint(N, ABC)

Parameters

ABC

-

triangle

N

-

the name of the Nagel point

Description

• 

Let H, E, F be the points on the sides BC, CA, AB of triangle ABC such that H is half way around the perimeter from A, E half way around from B, and F half way around from C. AH, BE, CF are concurrent. This point of concurrence is called the Nagel point of the triangle, after C. H. Nagel (1803-1882).

• 

For a detailed description of the Nagel point N, use the routine detail (i.e., detail(N)).

• 

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

• 

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

Examples

withgeometry:

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

NagelPointN,T

N

(1)

coordinatesN

1,61034210+4

(2)

See Also

geometry[draw]

geometry[point]

geometry[triangle]

 


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