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geom3d[Equation] - equation of a geometric object
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Calling Sequence
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Equation(obj)
Equation(obj, t )
Equation(obj, [x,y,z] )
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Parameters
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obj
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the given geometric object
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t
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(optional) the name of the parameter in the parametric equations of a line
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[x, y, z]
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(optional) the names of the axes
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Description
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The routine returns an algebraic representation of the given geometric object.
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Users will be asked to provide the names of the axes or the name of the parameter in the parametric equations (when obj is a line) if they are not assigned to names and if the second optional argument is not given. See xname for an example of this.
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The command with(geom3d,Equation) allows the use of the abbreviated form of this command.
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Examples
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Define the line that passes through two points A and B
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![line(l, [A, B])](/support/helpjp/helpview.aspx?si=5930/file03974/math98.png)
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The equation of l is:
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![[m, 2*m, 3*m]](/support/helpjp/helpview.aspx?si=5930/file03974/math110.png)
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Define the plane that passes through three given points A, B, C
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![plane(p, [A, B, C], [a, b, c])](/support/helpjp/helpview.aspx?si=5930/file03974/math120.png)
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>
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