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geom3d

  

AreCoplanar

  

test if the given objects are on the same plane

 

Calling Sequence

Parameters

Description

Examples

Calling Sequence

AreCoplanar(A, B, C, D)

AreCoplanar(l1, l2)

Parameters

A, B, C, D

-

points

l1, l2

-

lines

Description

• 

The routine returns true if the four given points or two given lines are coplanar (i.e., they are on the same plane); false if they are not; and FAIL if it is unable to reach a conclusion.

• 

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

Examples

withgeom3d:

pointA,0,0,0,pointB,1,1,11,pointC,3,7,5:

planep,A,B,C

p

(1)

Generate a random point on p

randpointE,p:

Hence, A, B, C and E must be on the same plane

AreCoplanarA,B,C,E

true

(2)

pointo,0,0,0:

linel1,o,1,12,13:

planep1,3x4y+5z=10,x,y,z:planep2,2x+2y3z=4,x,y,z:

linel2,p1,p2:

AreCoplanarl1,l2

false

(3)

AreSkewLinesl1,l2

true

(4)

See Also

geom3d[AreCollinear]

geom3d[AreParallel]

geom3d[ArePerpendicular]

geom3d[AreSkewLines]

 


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