geom3d
Equation
equation of a geometric object
Calling Sequence
Parameters
Description
Examples
Equation(obj)
Equation(obj, t )
Equation(obj, [x,y,z] )
obj
-
the given geometric object
t
(optional) the name of the parameter in the parametric equations of a line
[x, y, z]
(optional) the names of the axes
The routine returns an algebraic representation of the given geometric object.
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.
The command with(geom3d,Equation) allows the use of the abbreviated form of this command.
with⁡geom3d:
point⁡A,0,0,0,point⁡B,1,2,3:
Define the line that passes through two points A and B
line⁡l,A,B
l
The equation of l is:
Equation⁡l,m
m,2⁢m,3⁢m
point⁡C,3,7,11:
Define the plane that passes through three given points A, B, C
plane⁡p,A,B,C,a,b,c:
Equation⁡p
a−2⁢b+c=0
See Also
geom3d[line]
geom3d[plane]
geom3d[sphere]
geom3d[xname]
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