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geom3d[projection] - find the projection of an object on the other object
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Calling Sequence
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projection(Q, A, l)
projection(Q, A, p)
projection(Q, seg, p)
projection(Q, l, p)
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Parameters
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Q
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the name of the object to be created
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A
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point
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seg
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line segment or a directed line segment
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l
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line
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p
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plane
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Description
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The routine finds the projection Q of an object on the other object.
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For a detailed description of the object to be created Q, use the routine detail (e.g., detail(Q))
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The command with(geom3d,projection) 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 equations of the projection of the line (x-1)/2=(y+1)/(-1)=(z-3)/4 on the plane x+2*y+z=6
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![line(l, [point(o, 1, -1, 3), [2, -1, 4]])](/support/helpjp/helpview.aspx?si=5970/file04025/math129.png)
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![plane(p, x+2*y+z = 6, [x, y, z])](/support/helpjp/helpview.aspx?si=5970/file04025/math133.png)
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| (1) |
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Warning, assume that the parameter in the parametric equations is _t
Warning, assuming that the names of the axes are _x, _y, and _z
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| (2) |
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