• Mathematician presented a visual proof of the Pythagorean theorem

  • Mathematician Andres Navas, from the University de Santiago de Chile presented another simple and visual proof of the Pythagorean theorem. Devoted to the research Preprint is the author of published on the website arXiv.org.

    The Pythagorean theorem States that in a right triangle (i.e. a triangle with a right angle) the square of the hypotenuse (the largest side disposed opposite the right angle) is equal to the sum of the squares of the legs (the two non hypotenuse sides less). At present, there are over 350 different proofs of this statement.

    Navas uses theorem Boyai — Gervin, who claims runasaccountname any two equal-area polygons. Scientist makes two corners of the triangle ABC: the first around point A at an angle of 60 degrees counterclockwise, the second around the point In 60 degrees clockwise. Navas then calculates the area of the resulting polygon, composed of two polygons, whose area is equal to the area of the triangle ABC and the equilateral triangle with side s, where displays and required approval.

    The Pythagorean theorem asserts in his book "science Awakening. Mathematics of ancient Egypt, Babylon and Greece," the Dutch mathematician and historian of science Bartel van der Varden, was known in the eighteenth century BC, the Babylonians and Indians and Egyptians. Fame she received after the publication of 13 books "Beginnings" of Euclid, where at the end of the first book we formulate and prove the Pythagorean theorem.

    http://lenta.ru

More news in the same category:

    • Img
    • 8:28 pm on Monday 24th April 2017  /  Наука и техника
      "Roscosmos" fired three astronauts

      In state Corporation "Roscosmos" April 21 reported on the adoption of the interdepartmental Commission for the cosmonaut selection decision of dismissal from the cosmonaut Sergey Volkov, Alexander Samokutyaev and Sergei Revin. According to a source in the rocket and space industry, Sergey Volkov left the squad on their own.

    • Img
    • 6:07 pm on Monday 24th April 2017  /  Наука и техника
      Discovered a giant space jellyfish

      A group of scientists from the South Korean Institute for astronomy and space research has discovered a galaxy that is shaped like a jellyfish. It is located in the galactic cluster Abell 267, which is removed from the earth at a distance of about a billion light-years. The object has a "tail" and teardrop-shaped structure.

    • Img
    • 5:50 pm on Monday 24th April 2017  /  Наука и техника
      The source said about the departure of several people from the cosmonaut corps

      Russian cosmonauts will soon be able to leave several people, said the source TASS in the aerospace industry. From the group in addition to Gennady Padalka on their own left Sergei Volkov, in the right condition ready to go for another two cosmonauts, and one may be dismissed from training, he added.

More Global News:

    • Img
    • 10:11 pm on Monday 24th April 2017  /  Россия
      In the Federation Council responded to the statement of London on the right to a nuclear attack

      Statement by British defense Secretary Michael Fallon on the right of London for a pre-emptive nuclear strike deserves a harsh response, said the first Deputy Chairman of the Federation Council Committee on defense and security Frants Klintsevich. According to him, this rhetoric should be viewed as an element of psychological warfare.

    • Img
    • 9:45 pm on Monday 24th April 2017  /  Россия
      Putin held telephone talks with President of Kyrgyzstan

      The presidents of Russia and Kyrgyzstan Vladimir Putin and Almazbek Atambayev held telephone talks. The interview took place at the initiative of the Kyrgyz side. "The two presidents discussed current issues of bilateral cooperation in political and trade-economic spheres," — said the press service of the Kremlin.

    • Img
    • 9:30 pm on Monday 24th April 2017  /  Из жизни
      In the US, police detained two goats

      In Belfast (American Maine) police arrested two goats that roamed the streets. The animals escaped from their owner who kept them in the garage.Officer Daniel Fitzpatrick found herbivore named Louis and Mahli on the street and took them in a patrol car on a leash.

comments powered by Disqus