Geometry & Design: Definitions, Postulates, and Common Notions
Channel: Plan B Workshop
Date: 18/03/2020

We begin establishing fundamental concepts and ideas from Euclidean geometry that are needed in order to develop our pre-industrial design techniques. In particular, we outline Euclid's definitions, postulates, and common notions from Book I of the Elements.  

You'll probably find it useful to follow along with your own copy of the Elements. David E. Joyce of Clark University has produced a well organized, navigable and interactive online edition of the Elements. You can find it here: https://mathcs.clarku.edu/~djoyce/java/elements/toc.html 

I recommend clicking on Book I, and then follow the link for each Definition, Postulate, or Common Notion you would like to know more about. He includes a full translation of Euclid's words, clear diagrams, and a rich commentary on how each idea fits into both a historical context and a more modern way of thinking.