find the translation of a geometric object with respect to a directed segment - Maple Help

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geometry[translation] - find the translation of a geometric object with respect to a directed segment

Calling Sequence

translation(Q, obj, AB)

Parameters

Q

-

the name of the object to be created

obj

-

geometric object

AB

-

directed segment

Description

• 

Let AB be a directed line segment in the plane S. By the translation TAB we mean the transformation of S onto itself which carries each point P of the plane into the point P1 of the plane such that the directed line segment PP1 is equal and parallel to the directed segment AB.

• 

The directed segment AB is called the vector of the translation.

• 

For a detailed description of Q (the object created), use the routine detail (i.e., detail(Q))

• 

The command with(geometry,translation) allows the use of the abbreviated form of this command.

Examples

withgeometry:

Translation of a point

pointA,0,0:dsegmentdsg,pointM,0,0,pointN,1,0:

translationAtra,A,dsg:

coordinatesAtra

1,0

(1)

translation of a circle

circlec,pointOO,0,0,1:

translationctra1,c,dsg:

detailc,ctra1

assume that the names of the horizontal and vertical axes are _x and _y, respectively
assume that the names of the horizontal and vertical axes are _x and _y, respectively

name of the objectcform of the objectcircle2dname of the centerOOcoordinates of the center0,0radius of the circle1equation of the circle_x2+_y21=0,name of the objectctra1form of the objectcircle2dname of the centercenter_ctra1coordinates of the center1,0radius of the circle1equation of the circle_x2+_y22_x=0

(2)

translationctra2,c,dsegmentdsg2,M,pointN1,0,1:

translationctra3,c,dsegmentdsg3,M,pointN2,1,0:

translationctra4,c,dsegmentdsg4,M,pointN3,0,1:

drawcstyle=LINE,numpoints=200,ctra1,ctra2,ctra3,ctra4,axes=BOX,style=POINT,title=`translation of a circle`

See Also

geometry[objects], geometry[segment], geometry[transformation]


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