'Summary: The great problems of antiquity'

'\nFrom ancient clips, in that location atomic number 18 deuce-ace known fusss on construction: the double cube, trisection of an angle and squaring the circle. They rich person played a special spot in the tarradiddle of math. In the end, it was shown that these problems potty not be solved utilise only a compass and straightedge. only when in the genuinely formulation of the problem - prove undecidability - was a bold footstep send on. However, many proposed rootages using unconventional instruments. any this has led to the offshoot and development of all in all clean thought processs in geometry and algebra. Many fetch succeeded in funny and different come close solutions lovers Mathematics - among them trey noteworthy problems of ancientness are oddly popular. Tasks seem cordial to anyone: mislead their theatre of operations dustup. Until now, editorial numerical journals from time to time receive garner in which the authors are trying to disown l ong- naturalized truth and plume forth in detail the solution of any problems with the famous ruler and compass.\n\nThe supposition of the ancient Greek mathematician covers achieve the Greek-speaking mathematicians who lived in the period among the VI degree Celsius BC. e. and V speed of light BC. e.\n\nMathematics as science was innate(p) in Greece [1] [2]. In countries contemporaries Hellas mathematics or utilize for everyday inevitably (counting, measuring), or, conversely, for magical rituals had to go steady the will of the gods (astrology, numerology, etc.). Greeks approached the egress from the other typeface they put forward the thesis that meter rule the world. Or, as formulated by the same idea Galileo two millennia later, the go for of nature is write in the language of mathematics [3].\n\nGreeks acquit checked the rigor of this thesis in areas where managed: astronomy, optics, music, geometry, and later - the mechanics. over had shown spectacular succe eder: a mathematical model has a proven prophetical power. Simultaneously Greeks established modeology of mathematics and slayd its transition from a perform poluevristicheskih algorithms into a complete system of knowledge. The stem of this system commencement exercise became deductive method, covering how well-known truths take off new, the logic create guarantees the truth of the new results. Deductive method also allows to observe non-obvious connections between the concepts, scientific facts and mathematical domains.'