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geom3d

  

AreConcurrent

  

test if three lines are concurrent

 

Calling Sequence

Parameters

Description

Examples

Calling Sequence

AreConcurrent(l1, l2, l3, cond)

Parameters

l1, l2, l3

-

three lines

cond

-

(optional) name

Description

• 

Three straight lines l1, l2 and l3 are said to be concurrent if they pass through a common point.

• 

The routine returns true if l1, l2, and l3 are concurrent; false if they are not; and FAIL if it is unable to determine if the three lines are concurrent.

• 

In case of FAIL, if the optional fourth argument cond is given, the condition that makes the lines concurrent is assigned to this argument.

• 

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

Examples

withgeom3d:

pointA,0,0,0,pointB,0,0,1,pointC,0,1,0,pointF,1,0,0

A,B,C,F

(1)

lineAB,A,B:lineAC,A,C:lineAF,A,F:lineBC,B,C:

AreConcurrentAB,AC,AF

true

(2)

AreConcurrentAB,AC,BC

false

(3)

See Also

geom3d[AreCollinear]