Math Resource Page
Working on the exercises in class, we have mentioned some conjectures
about lines and planes in space. In some cases I have told you they
are true. For example in Chapter 1, Exercise 12, we discussed conjectures
about parallel lines in $\R^3$ and their projections to the picture plane.
In constructing the block letter T, the fourth construction (using
proportions) required a fact we had not proved.
This page collects together some of these facts and definitions so that you
can see statements of the theorems. Each theorem comes with a proof,
if you care to read it. You are not expected to know all these proofs.
However we will be working on how to prove things, and these could provide
helfpul examples. You are allowed to rely on these facts, which is why
we occasionally go over them and record an official correct answer.
The ones chosen here are ones I have relied on in some of the justifications
for constructions such as completing the T.