find the rotation of a geometric object with respect to a given point
rotation(Q, P, g, co, R)
the name of the object to be created
the angle of rotation
the direction of rotation, either clockwise or counterclockwise
(optional) the center of rotation
Let R be a fixed point of the plane, g and co denote the sensed angle. By the rotation R⁡O,g,co we mean the transformation of the plane S onto itself which carries each point P of the plane into the point P1 of the plane such that OP1 = OP and the angle POP1=g in the direction specified by co.
Point O is called the center of the rotation, and g is called the angle of the rotation.
If the fifth argument is omitted, then the origin is the center of rotation.
For a detailed description of the object created Q, use the routine detail (i.e., detail(Q))
The command with(geometry,rotation) allows the use of the abbreviated form of this command.
f ≔ y2=x:parabola⁡p,f,x,y:
name of the objectpform of the objectparabola2dvertex0,0focus14,0directrixx+14=0equation of the parabolay2−x=0,name of the objectp1form of the objectparabola2dvertex0,0focus0,14directrixy+14=0equation of the parabolax2−y=0
draw⁡p⁡style=LINE,thickness=2,p1,p2,p3,style=POINT,symbol=DIAMOND,color=green,title=`rotation of a parabola`
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