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七月十八日作業
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原始檔
1.Construct the envelope of the light rays emitted from a radiant point source at infinity after reflection by the semi-circle.    
2.Construct the envelope of the light rays emitted from a radiant point source at the circumference after reflection by the same circle.    
3.Construct the envelope formed by a fix diameter of a circle rolling along a straight line.    
4.Construct the envelope formed by a fix diameter of a circle rolling along a fixed circle of the same size.    
5.Construct the envelope formed by a fix diameter of a circle rolling along a fixed circle twice the diameter.    
6.Construct this figure:    
7.Construct this figure:    
8.Construct this design:    
9.Construct the nested squares as thus:
10.Constructed nested triangles as thus:    
11.Construct this pattern:    
12.Construct the family of ellipses x=(1-t)(cos(s)),y=tsin(s),0<=t<=2p ranges in [0,1].    
13.Construct the concentric and coaxial ellipses of constant area:    
14.Construct this pattern.    
15.Construct this pattern.    
16.Construct the reflections of a light ray trapped inside a reflective ellipse. There are two cases.    
 

 

Maple作業
7/04
7/06
7/11
7/13
7/18
7/20
7/25
7/27
8/01
8/03
8/08
8/10

> restart:

> m:=[[1, 1],[-1, 1],[-1, -1],[1, -1], [1, 1]]:

> w:=[]:

> t:=.1:

> for k to 25 do w:=[op(w),m]:sm:=[m[2],m[3],m[4],m[1],m[2]]:m:=(1-t)*m+t*sm:od:

> plot(w,axes=none,scaling=constrained,color=red);

[Maple Plot]