Maple Professional
Maple Academic
Maple Student Edition
Maple Personal Edition
Maple Player
Maple Player for iPad
MapleSim Professional
MapleSim Academic
Maple T.A. - Testing & Assessment
Maple T.A. MAA Placement Test Suite
Möbius - Online Courseware
Machine Design / Industrial Automation
Aerospace
Vehicle Engineering
Robotics
Power Industries
System Simulation and Analysis
Model development for HIL
Plant Modeling for Control Design
Robotics/Motion Control/Mechatronics
Other Application Areas
Mathematics Education
Engineering Education
High Schools & Two-Year Colleges
Testing & Assessment
Students
Financial Modeling
Operations Research
High Performance Computing
Physics
Live Webinars
Recorded Webinars
Upcoming Events
MaplePrimes
Maplesoft Blog
Maplesoft Membership
Maple Ambassador Program
MapleCloud
Technical Whitepapers
E-Mail Newsletters
Maple Books
Math Matters
Application Center
MapleSim Model Gallery
User Case Studies
Exploring Engineering Fundamentals
Teaching Concepts with Maple
Maplesoft Welcome Center
Teacher Resource Center
Student Help Center
geometry[GlideReflection] - find the glide-reflection of a geometric object
Calling Sequence
GlideReflection(Q, P, l, AB)
Parameters
Q
-
the name of the object to be created
P
geometric object
l
line
AB
directed segment on l
Description
Let l be a fixed line of the plane and AB a given directed segment on l. By the glide-reflection we mean the product where is the reflection with respect to the line l, and is the translation with respect to the directed segment AB. The line l is called the axis of the glide-reflection, and the directed segment AB on l is called the vector of the glide-reflection.
For a detailed description of Q (the object created), use the routine detail (i.e., detail(Q))
The command with(geometry,GlideReflection) allows the use of the abbreviated form of this command.
Examples
translate c1 with respect to the directed segment MN, then reflect this object with respect to the line l
assume that the names of the horizontal and vertical axes are _x and _y, respectively
See Also
geometry[draw], geometry[objects], geometry[reflection], geometry[transformation], geometry[translation]
Download Help Document