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geometry[AreParallel] - test if two lines are parallel to each other
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Calling Sequence
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AreParallel(l1, l2, cond)
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Parameters
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l1, l2
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two lines
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cond
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(optional) name
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Description
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The routine returns true if l1 and l2 are parallel to each other; false if they are not; and FAIL if it is unable to determine if l1 and l2 are parallel to each other.
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In case of FAIL, if the third optional argument is given, the condition that makes l1 and l2 parallel to each other is assigned to this argument.
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The command with(geometry,AreParallel) allows the use of the abbreviated form of this command.
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Examples
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![line(l1, 2*x+3*y+1 = 0, [x, y])](/support/helpjp/helpview.aspx?si=5874/file04051/math85.png)
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![line(l2, 4*sqrt(2)*x+6*sqrt(2)*y-1 = 0, [x, y])](/support/helpjp/helpview.aspx?si=5874/file04051/math89.png)
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![line(l3, x = 0, [x, y])](/support/helpjp/helpview.aspx?si=5874/file04051/math100.png)
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![line(l4, a*x+6*y+1 = 0, [x, y])](/support/helpjp/helpview.aspx?si=5874/file04051/math111.png)
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AreParallel: "hint: cannot determine if 12-3*a is zero"
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