Hello All, I was covering the topic of Geometric Proofs in my text today and I have a few questions.
Q1: Suppose there is a line L. Using a geometric proof, the slope of L denoted as 'm' can be estimated in terms of a slope point P whose coordinates are (x,y). This proof will consider the case of the point P being located above L. Can somebody prove this?
Q2: A method exists which constructs a sequence of non-negative integers (a_0, a_1, a_2, a_3, ...). This method also details that a_n is strictly positive for positive n. However, an example exists for which a_0 may be zero. Can anyone think of an example and explain its geometric significance?
Essentially I need to specify a a_n for which a_0 = 0 .
Any help is appreciated!
As far as the second question, I'm not sure what it represents either. I do know what the latter part of the question is asking, and I think it is just relating it to the set of numbers previously mentioned.