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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 lie in a plane and 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(geometry,AreConcurrent) allows the use of the abbreviated form of this command.

Examples

withgeometry:

linel1,3b6=0,a,b:linel2,312a+b+3122=0,a,b:

linel3,312a+b3122=0,a,b:

AreConcurrentl1,l2,l3

true

(1)

linel4,3b23=11,a,b:

AreConcurrentl1,l2,l4

false

(2)

linel5,mb+312a2=0,a,b:

AreConcurrentl1,l2,l5,'cond'

AreConcurrent:   "unable to determine if 6*3^(1/2)*m-6*3^(1/2)+9 is zero"

FAIL

(3)

cond

63m63+9=0

(4)

make necessary assumption:

assumecond

AreConcurrentl1,l2,l5

true

(5)

See Also

geometry[AreCollinear]

geometry[line]

 


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