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geom3d

  

triangle

  

define a triangle

 

Calling Sequence

Parameters

Description

Examples

Calling Sequence

triangle(T, [A, B, C], n)

triangle(T, [l1, l2, l3], n)

Parameters

T

-

the name of the triangle

A, B, C

-

three points

l1, l2, l3

-

three lines

n

-

(optional) list of three names representing the names of the x-axis, y-axis and the z-axis respectively.

Description

• 

A triangle is a polygon having three sides. A vertex of a triangle is a point at which two of the sides meet.

• 

A triangle T can be defined as follows:

– 

from three given points A, B, C.

– 

from three given lines l1, l2, l3.

• 

To access the information relating to a triangle T, use the following function calls:

form(T)

returns the form of the geometric object (i.e., triangle3d if T is a triangle).

DefinedAs(T)

returns the list of three vertices of T

detail(T)

returns a detailed description of the triangle T.

• 

The command with(geom3d,triangle) allows the use of the abbreviated form of this command.

Examples

withgeom3d:

define three points A0,0,0,B1,1,1, and C1,0,2

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

define the triangle T1 that has A,B,C as its vertices

triangleT1,A,B,C

T1

(1)

formT1

triangle3d

(2)

mapcoordinates,DefinedAsT1

0,0,0,1,1,1,1,0,2

(3)

See Also

geom3d[altitude]

geom3d[area]

geom3d[IsEquilateral]

geom3d[IsRightTriangle]

geom3d[objects]

geom3d[sides]

 


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