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geom3d[IsTangent] - test if a plane is tangent to a sphere
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Calling Sequence
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IsTangent(p, s)
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Description
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The routine returns true if the plane p is tangent to the sphere s; false if they are 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 p tangent to s is assigned to this argument.
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The command with(geom3d,IsTangent) allows the use of the abbreviated form of this command.
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Examples
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![sphere(s, [point(o, 0, 0, 1), 1])](/support/helpjp/helpview.aspx?si=5935/file03986/math79.png)
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Find the condition that makes the plane a*x+b*y+c*z+d=0 tangent to the sphere s
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![plane(p, a*x+b*y+c*z+d = 0, [x, y, z])](/support/helpjp/helpview.aspx?si=5935/file03986/math92.png)
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IsTangent: "unable to determine if 1-abs(c+d)/(a^2+b^2+c^2)^(1/2) is zero"
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Hence, the condition is:
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