GEOMETRY

Geometry was the first system of ideas to be developed in which a few simple statements were assumed and then used to derive a rich and attractive array of results. Such a system is called deductive. The beauty of geometry as a deductive system has inspired writers in other fields to organize their ideas in the same way. Sir Isaac Newton's  'Principia', in which he tried to present physics as a deductive system, and the philosopher Spinoza's 'Ethics' are especially noteworthy examples. 

 

At Saint Herman School we will try to teach the students to reason deductively through geometry proofs. Using postulates and definitions we are going to prove theorems, from simple to more complex ones. Then, we are going to prove new theorems using the ones already proved.

 

We will start with plane (euclidian) geometry, continue with solid geometry in three dimensions, non-euclidian geometries and finishing with coordinate geometry (we are using Harold R. Jacobs' Geometry Book - Second Edition).