Euclid & Lobatchevsky

[1] There is no royal stag road to geometry After the nakedness of Archimedes, mathematical progress had stopped. Archimedes had real mathematics to a orient where no further advances could be made without the use of Algebra and uninflected geometry. History would have to reckon seventeen centuries for the next major(ip) step. Archimedes had pointed the way to calculus or analysis, except there was no adept there to number. The growing romish Empire invaded Egypt, setting bolt to ships in Alexandria. The fire to the ships blossom forth to the library and burnt-out half(prenominal) a million manuscripts-the escritoire of all ancient knowledge. What the flames missed, the Moslems plundered seven centuries later, scattering the hereditary pattern of Greece to the four winds. Lobatchevsky and Euclid both(prenominal) worked on a not so self-evident axiom that through a point in a condition plan however one line roll in the hay be drawn fit to another line on the level. Euclid delineate the axiom as one that could not be proved. Lobatchevsky some(prenominal) years later tried and true to prove this theory. He scene a non-euclidian geometry-pangeometry or notional geometry which is not depicted on an ordinary flat plane of Euclid. Instead, it can be plan on a psuedoshpere. fifty-fifty though this in the raw geometry was middling as valid as Euclids, early astronomers judgment Euclids theory more useful. euclidian geometry was capable of describing everything from paths of heavenly bodies to the sizes and shapes of dust.

Therefore, they feeling if space is euclidian it cannot be non-Euclidean. It wasnt till the nineteenth century that Newtonian Physics, which is found on a Euclidean interpretation of space, appeared to have some problems. Albert Einstein, more than half a century later, erected a new system based on non-Euclidean geometry. This new system became a much simpler one to ascertain than Newtons system. foreign Euclid, Lobatchevsky received little obligingness and recognition during his life. Yet for all over two thousand years, no one had ever questioned Euclids geometry until Nicholas Lobatchevsky. If you want to get a full essay, order it on our website: Ordercustompaper.com

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