作業五

STAR1.GIF (1234 bytes)5-1 Construct the envelope of the light rays emitted from a radiant point source at infinity after reflection by the semi-circle.

STAR2.GIF (3021 bytes)5-2 Construct the envelope of the light rays emitted from a radiant point source at the circumference after reflection by the same circle.

STAR1.GIF (1234 bytes)5-3 Construct the envelope formed by a fix diameter of a circle rolling along a straight line.

STAR2.GIF (3021 bytes)5-4 Construct the envelope formed by a fix diameter of a circle rolling along a fixed circle of the same size.

STAR1.GIF (1234 bytes)5-5 Construct the envelope formed by a fix diameter of a circle rolling along a fixed circle twice the diameter.

STAR2.GIF (3021 bytes)5-6 Construct this figure:

STAR1.GIF (1234 bytes)5-7 Construct this figure:
STAR2.GIF (3021 bytes)5-8 Construct this design:
STAR1.GIF (1234 bytes)5-9 Construct the nested squares as thus:
STAR2.GIF (3021 bytes)5-10 Constructed nested triangles as thus:
STAR1.GIF (1234 bytes)5-11 Construct this pattern:
STAR2.GIF (3021 bytes)5-12 Construct the family of ellipses
as t ranges in [0,1].

STAR1.GIF (1234 bytes)5-13 Construct the concentric and coaxial ellipses of constant area:
STAR1.GIF (1234 bytes)5-14 Construct this pattern.

 

STAR1.GIF (1234 bytes)5-15 Construct this pattern.
STAR1.GIF (1234 bytes)5-16 Construct the reflections of a light ray trapped inside a reflective ellipse. There are two cases.