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七月十八日作業
圖示
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
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> restart:

> x:=tan(k*Pi/240)*cos(t):

> y:=cot(k*Pi/240)*sin(t):

> m:=[x,y,t=0..2*Pi]:

> plot([m$k=40..80],scaling=constrained,color=red,axes=none);

[Maple Plot]