Difference between revisions of "AreConcurrent Command"
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− | <noinclude>{{Manual Page|version=5.0}}</noinclude>{{command|geometry | + | <noinclude>{{Manual Page|version=5.0}}</noinclude>{{command|geometry}} |
;AreConcurrent[ <Line>, <Line>, <Line> ] | ;AreConcurrent[ <Line>, <Line>, <Line> ] | ||
:Decides if the lines are concurrent. If the lines are parallel, they considered to have a common point in infinity, thus this command returns ''true'' in this case. | :Decides if the lines are concurrent. If the lines are parallel, they considered to have a common point in infinity, thus this command returns ''true'' in this case. |
Revision as of 21:33, 27 December 2015
- AreConcurrent[ <Line>, <Line>, <Line> ]
- Decides if the lines are concurrent. If the lines are parallel, they considered to have a common point in infinity, thus this command returns true in this case.
Normally this command computes the result numerically. This behavior can be changed by using the Prove command.
- Example:
AreConcurrent[Line[(1, 2), (3, 4)], Line[(1, 2), (3, 5)], Line[(1, 2), (3, 6)]]
yields true since all three lines contain the point (1,2).
Note: See also AreCollinear, AreConcyclic, AreEqual, ArePerpendicular, AreParallel commands.