Graphics Reference
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and the plane X with equation x + y - z = 2.
6.5.4
Find all intersections of the ray starting at the point p = (2,1) and direction vector
v = (1,-3) with the circle defined by x 2
- 2x + y 2
= 0.
Section 6.6
6.6.1
Prove equation (6.19).
6.6.2
Prove Formula 6.6.2.
Section 6.7
6.7.1
Show that Formula 6.7.4 works for nonconvex polygons.
Section 6.8
6.8.1
Find the equation of the circle through the points p 1 = (2,1), p 2 = (3,3), and p 3 = (7,1).
Section 6.10
Find the equation of the parabola y = x 2 after it is rotated about the origin through an
angle of p/3.
6.10.1
6.12
P ROGRAMMING P ROJECTS
Section 6.5
6.5.1 Two-dimensional ray tracing
This project involves implementing a simple 2d ray-tracing program. Create the following
submenu for your main program
When the user enters this menu, he/she should be presented with a view looking orthogonally
down on the plane. Then the menu items should cause the following actions to be taken when
activated:
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