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Home > Art, Film & Photography > Geometria: Hiperbolikus Geometria, Negyedik Dimenzio, Mobius-Szalag, Tavolsag, Gorbe, Nemeuklideszi Geometria, Klein-Fele Palack,
Geometria: Hiperbolikus Geometria, Negyedik Dimenzio, Mobius-Szalag, Tavolsag, Gorbe, Nemeuklideszi Geometria, Klein-Fele Palack,

Geometria: Hiperbolikus Geometria, Negyedik Dimenzio, Mobius-Szalag, Tavolsag, Gorbe, Nemeuklideszi Geometria, Klein-Fele Palack,


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About the Book

Forras: Wikipedia. Oldalak: 26. Fejezetek: Hiperbolikus geometria, Negyedik dimenzio, Mobius-szalag, Tavolsag, Gorbe, Nemeuklideszi geometria, Klein-fele palack, Egyenes, Linearis tortfuggvenyek, Sulypont, Magassag, Altalanos helyzet, Arctg2, Els rend nyomatek, Csavarfelulet, Szferikus ter, Bergmeister-keszlet, Forgasfelulet, Politop, Jobbkez-szabaly, Minkowski-Hajos-tetel, Durer-sejtes, Izoperimetrikus egyenl tlenseg. Idezet: A hiperbolikus geometria egy nemeuklideszi geometria, amiben az euklideszi parhuzamossagi axiomat a hiperbolikus axioma helyettesiti. Ez azt mondja ki, hogy egy egyeneshez egy rajta kivul fekv ponton at tobb parhuzamos huzhato. Ennek tobb meglep kovetkezmenye is van, peldaul ket metsz egyeneshez van egy harmadik, ami egyiket sem metszi. A parhuzamossag terminologiaja nem egyseges. Ami az egyikben parhuzamos, az a masikban elpattano, de hasznaljak a parhuzamos szot az osszes nem metsz egyenesre is. Ezert mindig meg kell ismerni az adott helyen alkalmazott terminologiat. Itt az elpattano, az ultraparhuzamos es a parhuzamos szavakat hasznaljuk majd. A parhuzamos az egy sikban lev nem metsz egyeneseket, az elpattano a hatarhelyezetben parhuzamos, es az ultraparhuzamos a nem elpattano, de parhuzamos egyeneseket jeloli. A hiperbolikus sik negativ gorbulete miatt nem agyazhato be az euklideszi terbe, de modellezhet mar az euklideszi sikban is. Tobb modellje is letezik, mint a Klein-modell, a hiperboloidmodell, es a konform modellek. A modellek azt mutatjak, hogy ha az euklideszi axiomarendszer ellentmondasmentes, akkor a hiperbolikus axiomarendszer is az. Az euklideszi geometriat is modelleztek a hiperbolikusban, igy a ket axiomarendszer ellentmondasmentessege ekvivalens. Ma a hiperbolikus geometria felfedez jekent Bolyai Janost es Nyikolaj Ivanovics Lobacsevszkijt tartjak szamon, de mar el ttuk is sok eredmeny szuletett rola. A parhuzamossagi axioma mar az okor ota foglalkoztatta a matematikusoka...


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Product Details
  • ISBN-13: 9781232883050
  • Publisher: Books LLC, Wiki Series
  • Publisher Imprint: Books LLC, Wiki Series
  • Height: 246 mm
  • No of Pages: 28
  • Spine Width: 2 mm
  • Weight: 68 gr
  • ISBN-10: 1232883050
  • Publisher Date: 07 Aug 2011
  • Binding: Paperback
  • Language: Hungarian
  • Returnable: N
  • Sub Title: Hiperbolikus Geometria, Negyedik Dimenzio, Mobius-Szalag, Tavolsag, Gorbe, Nemeuklideszi Geometria, Klein-Fele Palack,
  • Width: 189 mm


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