清大暑期進修班Maple 6 作業



 
 
5-1 Construct the envelope of the light rays emitted from a radiant point source at infinity after reflection
by the semi-circle. 
5-2 radiant point source at the circumference
after reflection by the same circle. 
5-3 Construct the envelope formed by a fix diameter of a circle rolling along a straight line. 
5-4 Construct the envelope formed by a fix diameter of a circle rolling along a fixed circle of the same
size. 
5-5 Construct the envelope formed by a fix diameter of a circle rolling along a fixed circle twice the
diameter. 
5-6 Construct this figure: 
5-7 Construct this figure: 
5-8 Construct this design: 
5-9 Construct the nested squares as thus: 
5-10 Constructed nested triangles as thus: 
5-11 Construct this pattern: 
5-12 Construct the family of ellipses 

as t ranges in [0,1]. 
 

5-13 Construct the concentric and coaxial ellipses
of constant area: 
5-14 Construct this pattern. 
5-15 Construct this pattern. 
5-16 Construct the reflections of a light ray
trapped inside a reflective ellipse. There are
two cases.