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Taken from "Experiencing Geometry on Plane and Sphere," a classic textbook on Euclidean and non-Euclidean space. Used by permission of the author Professor David W. Henderson, Department of Mathematics, Cornell University · Ithaca.

 Geometry by David Henderson Logic can only go so far after that I must see-perceive-imagine This geometry can help I may reason logically thru theorem and propositions galore, but only what I perceive is real. If after studying I am not changed if after studying I still see the same then all has gone for naught. Geometry is to open up my mind so I may see what has always been behind the illusions that time and space construct. Space isn’t made of point and line the points and lines are in the mind. The physicists see space as curved with particles that are quite blurred. And, when I draw, everything is fat there are no point and that is that. The artists and the dreamer knows that space is where an image grows. For me it’s a sea in which I swim a formless sea of hope and whim. Thru my fear on Infinity and One I structure space to confine my imagination away from the idea That all in One. But, I can from this trap escape I can see the geometry in which I wander as but a structure I made to ponder. I can dare to let fo the structures and my fears and look beyond to see what is always there to see. But, to let go, I must first grab on. Geometry is both the grabbing on and the letting go. It is a logical structure and a perceived meaning Q.E.D.’s and “Oh! I see”’s It is formal abstractions and beautiful contraptions. It is talking precisely about that Which we know only fuzzily. But, in the end, and, most of all, it is seeing-perceiving The meaning that I AM.

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