#08 Eucl Geom = Ellipt Geom + Hyperb Geom; independent and dependent

#08.1 Eucl Geom = Ellipt Geom + Hyperb Geom; independent and dependent existence in math 8th ed.: TRUE CALCULUS

Alright let me point out another analogy between Faraday law of physics and Elliptic geometry added to Hyperbolic geometry makes for Euclidean geometry.

Notice the bar magnet in Faraday law is a magnetic field as a sphere around the bar magnet and notice that the closed loop of wire is like a hyperbolic space. So that when we thrust the bar magnet into the closed loop of wire is like that of joining back the sphere into the hollow core of the cube from which we extracted the sphere to leave a hyperbolic space.

Now I know most of the ideas I set forth are above the heads of most High School students, but what I am attempting to do in these 10 pages is forewarn the teachers and students what should be taught in High School Plane Geometry-- that the points of space that make up plane geometry are a point is separated by empty-space that spans to the next point.

If points are dots, then plane geometry looks like this up close---

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AP