The Original Geometer’s Line.

…“One can acquire some peace of mind from just watching that horizon. It’s a geometer’s line—completely flat, steady and known.
…Perhaps it’s the original line that gave rise to Euclid’s understanding of lineness; a reference line from which was derived the original calculations of the first astronomers that charted the stars.
… Phædrus knew, with the same mathematical assurance Poincaré had felt when he resolved the Fuchsian equations, that this Greek areté was the missing piece that completed the pattern, but he read on now for completion.
…The halo around the heads of Plato and Socrates is now gone. He sees that they consistently are doing exactly that which they accuse the Sophists of doing using emotionally persuasive language for the ulterior purpose of making the weaker argument, the case for dialectic, appear the stronger.
…We always condemn most in others, he thought, that which we most fear in ourselves. .. But why? ” (Cont Next)

Five miles south of Orick, CA. Our word “line” is a variant of our word “linen”.
…In Ancient Egypt, the Land Surveyors used linen strings made out of the fibrous stalks of the flax plant, still the source of our finest linen table cloths.
…For the Egyptians, those “linens” , marked out the edges of each farm property marked over the mud left after the yearly flood.
…Based of the study of the history of language, this almost certainly indicates an alternate origin of our word and concept of “line” and “straight line”.
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(Photo = 115-1568c ...... ZMM Page = 342 ..... WayPt = 434i2 ~0020ft. Photo at ft 434w 0201ft)