rotation - Maple Help
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geometry

  

rotation

  

find the rotation of a geometric object with respect to a given point

 

Calling Sequence

Parameters

Description

Examples

Calling Sequence

rotation(Q, P, g, co, R)

Parameters

Q

-

the name of the object to be created

P

-

geometric object

g

-

the angle of rotation

co

-

the direction of rotation, either clockwise or counterclockwise

R

-

(optional) the center of rotation

Description

• 

Let R be a fixed point of the plane, g and co denote the sensed angle. By the rotation  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  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.

Examples

(1)

(2)

(3)

(4)

(5)

(6)

See Also

geometry/objects

geometry/transformation

 


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