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geom3d[IsOnObject] - Test if a point, a list, or a set of points is on a given object
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Calling Sequence
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IsOnObject(f, obj, cond)
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Parameters
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f
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point, list or set of points
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obj
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line, plane, or sphere
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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 the point f or the list/set of points f is on object obj; false if it is not; and FAIL if it is unable to reach a conclusion.
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In case of FAIL, if the third optional argument is given, the condition that makes f on object l is assigned to this argument. It will be either of the form  or of the form  where expr, expr_i are maple expressions.
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The command with(geom3d,IsOnObject) allows the use of the abbreviated form of this command.
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Examples
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>
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Find the equation of the plane through the line (3*x-4*y+5*z=10, 2*x+2*y-3*z=4) and parallel to the line x=2*y=3*z
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![line(l1, [o, [1, 1/2, 1/3]])](/support/helpjp/helpview.aspx?si=5923/file03981/math107.png)
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![plane(p1, 3*x-4*y+5*z = 10, [x, y, z])](/support/helpjp/helpview.aspx?si=5923/file03981/math111.png) ![plane(p2, 2*x+2*y-3*z = 4, [x, y, z])](/support/helpjp/helpview.aspx?si=5923/file03981/math112.png)
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![line(l2, [p1, p2])](/support/helpjp/helpview.aspx?si=5923/file03981/math116.png)
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![plane(p, [l2, l1])](/support/helpjp/helpview.aspx?si=5923/file03981/math120.png)
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check if line l2 lies in the plane p, line l1 is parallel to plane p
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