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.
Japanese and French scientists have shown that larger satellites of Saturn could be born and die 20-30 times in the more than four billion years of existence, the second largest planet in the Solar system. A study published in the library of electronic preprints arXiv.org.
The company Samsung has published on its YouTube channel a video demonstrating the world's first stretchable AMOLED display. The prototype was presented at the exhibition the exhibition Display Week 2017, however, the manufacturer did not disclose all the details of the development. It has a diagonal of 9.1 inches and can withstand stretching.
Intel may release an 18-Core Intel Core i9-7980XE. Alongside, the manufacturer will manufacture the new chips Core i9-and i9 7940X-7960X 14 and 16 cores, respectively. Core i9-7980XE refers to the CPU family Skylake-X compatible with motherboards LGA 2066.
Russian Alexey Makeeva, who suffered in a clash with the crowd in Cancun, charged with first-degree murder. He was taken to the Prosecutor's office, where he was mirandized and charged with first-degree murder. Within 48 hours the judge will have to decide which prison to send.
The DPRK stated that it has successfully tested a ballistic missile. For testing projectile controlled with precision guidance, observed the leader of the Republic, Kim Jong-UN. After the test he ordered to start the development of more powerful strategic weapons.
Russian Alexey Makeev injured in the mob attack on his house in cancún discharged from hospital and detained at the social rehabilitation centre. "Now he will be indicted, he is the representative of the Embassy, from the hospital he was discharged," — said the Russian Consul in Mexico city.