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geometry[StretchReflection] - find the stretch-reflection of a geometric object
Calling Sequence
StretchReflection(Q, P, l, O, k )
Parameters
Q
-
the name of the object to be created
P
geometric object
l
line
O
point on l
k
number which is the ratio of the stretch-reflection
Description
Let l be a fixed line of the plane and O a fixed point on l, and let k be a given nonzero real number. By the stretch-reflection we mean the product where is the reflection with respect to line l, and is the dilatation with center O and ratio k. The line l is called the axis of the stretch-reflection, the point O is called the center of the stretch-reflection, and k is called the ratio of the stretch-reflection
For a detailed description of Q (the object created), use the routine detail (i.e., detail(Q))
The command with(geometry,StretchReflection) allows the use of the abbreviated form of this command.
Examples
Assign the name of the horizontal and vertical axis:
dilate p with center A and ratio 1/2, then reflect this object with respect to the line l
See Also
geometry[dilatation], geometry[draw], geometry[HorizontalName], geometry[objects], geometry[reflection], geometry[transformation], geometry[VerticalName]
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