test if two objects are parallel to each other - Maple Help

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geom3d[AreParallel] - test if two objects are parallel to each other

Calling Sequence

AreParallel(dseg1, dseg2, cond)

AreParallel(l1, l2, cond)

AreParallel(l1, p1, cond)

AreParallel(p1, p2, cond)

Parameters

dseg1, dseg2

-

directed line segments

l1, l2

-

lines

p1, p2

-

planes

cond

-

(optional) a name

Description

• 

The routine returns true if the two given objects are parallel to each other; false if they are not; and FAIL if it is unable to reach a conclusion.

• 

In case of FAIL, if the third optional argument is given, the condition that makes them parallel to each other is assigned to this argument.

• 

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

Examples

withgeom3d:

To view the results of the following example, copy and paste the commands and execute. Define two planes pp1, pp2

assumel10,l20,l1l2,t0

planepp1,l1x+p1y+n1z+p1,x,y,z

planepp2,l2x+p2y+n2z+p2,x,y,z

Find the condition that makes pp1 and pp2 parallel to each other

AreParallelpp1,pp2,'cond'

additionallyopcond

AreParallelpp1,pp2

See Also

geom3d[ArePerpendicular], geom3d[line], geom3d[plane]


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