Elementary Proofs in Geometry, a Math Writing Assignment

I am taking a math writing course and our first assignment was to create an essay from lecture notes. This is what I came up with.

Also, a nice read on writing mathematics is found at this pdf: http://homepages.math.uic.edu/~kauffman/SuGuidelines.pdf

 

Elementary Proofs in Geometry Using Features of Pi

Pi is an extraordinarily beautiful number in mathematics. One of pi’s most amusing features is that the measurement of a straight angle is pi radians. Similarly, the sum of the interior angles of a triangle is also equal to pi radians. We seek to prove these facts and use them to determine if parallel lines can ever meet.

First, we will prove that all vertical angles are congruent. After proving this theorem, we will show that parallel lines never meet. To prove this theorem, we will give a definition of what it means for two lines to be parallel and then use the theorem that the sum of the interior angles of a triangle is equal to a straight angle to prove it.

Theorem 1: Vertical angles are congruent.

To prove that vertical angles are congruent we will utilize two axioms.

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Matt Berkowitz’s Science Literacy Channel

A new educational channel dedicated to improving scientific literacy has been created by Matt Berkowitz. Some may remember Matt from his lecture on assessing scientific research here:

The channel’s first video with a description of what is ahead:

From the about section: “This channel is dedicated to improving public science literacy. Improving the world appears to be directly related to society’s alignment with an evidence-based approach to solving problems (social, economic, political, etc.). Therefore, one of the most important features to the public health of any society is the degree to which people are educated in scientific affairs.”

I strongly suggest subscribing and following this channel as Matt has been a beacon of scientific literacy for some time now. This is something that every human being should understand before engaging in debates about public policy. I also feel scientific literacy has a lot to do with one’s own well-being. Do yourself a favor and keep up to date with this project.

YouTube Channel Located here: https://www.youtube.com/user/ScienceLiteracy
Facebook Page Located here: https://www.facebook.com/ScienceLiteracyChannel?fref=ts