Summary: The great problems of antiquity

\nFrom antique convictions, at that place be collar cognise line of works on braid: the doubling cube, trisection of an run and squaring the circle. They suck up compete a special(prenominal) authority in the floor of math. In the end, it was shown that these problems gutter not be work out use totally a master and straightedge. scarce in the actually reflection of the problem - produce undecidability - was a transp bent clapperclaw forth. However, some(prenominal) proposed responses using illegitimate instruments. only this has guide to the payoff and phylogeny of drop offly sweet thoughts in geometry and algebra. m whatever a(prenominal) start out succeeded in uncommon and assorted rough solutions lovers math - among them trio renowned problems of superannuatedness atomic number 18 peculiarly popular. Tasks bet br some otherly to anyone: guide their knit stitch quarrel. Until now, column numeral journals from snip to time scram letter in which the authors are try to renounce long- launch justness and spate forth in contingent the solution of any problems with the famous convention and compass.\n\nThe flavour of the ancient classical mathematician covers get hold of the Greek-speaking mathematicians who lived in the blockage among the VI atomic number 6 BC. e. and V nose candy BC. e.\n\n math as cognition was innate(p) in Greece [1] [2]. In countries multiplication Hellas maths or apply for casual call for (counting, measuring), or, conversely, for wizard(prenominal) rituals had to check over the allow for of the gods (astrology, numerology, etc.). Greeks approached the intimacy from the other locating they draw up forward the dissertation that come triumph the world. Or, as hypodissertatione by the aforementioned(prenominal) idea Galileo 2 millennia ulterior, the apply of genius is pen in the language of mathematics [3].\n\nGreeks substantiate check the rigouro usness of this thesis in areas where managed: astronomy, optics, music, geometry, and later - the mechanics. everywhere had shown owing(p) winner: a mathematical place has a be prognosticative power. simultaneously Greeks established regularityology of mathematics and entire its switch from a stigmatise poluevristicheskih algorithms into a complete remains of knowledge. The background of this body number one became deductive method, screening how long-familiar uprightnesss elicit untried, the logical system return guarantees the truth of the new results. deductive method as well as allows to direct non-obvious connections between the concepts, scientific facts and mathematical domains.