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Hope this letter of mine finds you in the best of health and spirit. Here, I would like to draw your attention towards the discoveries and inventions of the great mathematicians who worked all their lives developing the ideas on the new geometry by studying the shortcomings of the traditional works…
Gauss represented a clear expression of a great mathematician of a small town called Gottingen. He is known in history for his remarkable geometrical discoveries. He is known for his discoveries in method of least squares, quadratic reciprocity, and non-Euclidean geometry. One of his greater works is also seen in astronomy. I totally agree with the works of Gauss on construction of polygons, least squares method, the fundamental theorem of algebra or the non-Euclidean's - differential geometry. Though he never published these discoveries anywhere but his work is highly remarkable.
Gauss started with these discoveries at a very early age. He proved the construction of regular 17 sided polygons called heptadecagon. He proved that this can be constructed simply with the help of a ruler and a compass and thinks this is one of his greatest achievements in the history of geometry. Because as opposed to Kepler, Gauss proved that not only a triangle, square, pentagon, hexagon are constructible but then he proved it right that 17 sided figures can also be constructed with the equal lengths. He further added that 17 gon can be constructed using four quadratic equations (Swetz, 1994).
One more important discovery of Gauss is the theory of least squares and normal distribution. He proved that every curve led to the least squares. ...
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