Le distanze nelle terne pitagoriche
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Le distanze nelle terne pitagoriche

Le distanze nelle terne pitagoriche

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Le distanze nelle terne pitagoriche Presentation Transcript

  • 1. Le distanze nelle terne pitagoriche Di Cristiano Armellini cristiano.armellini@alice.it
  • 2. Distanza tra c e bpartiamo dalla relazione generalea2 + b2 = c2( 2 mn ) 2 + ( m 2 − n 2 ) 2 = ( m 2 + n 2 ) 2c − b = 2n 2 = d dn= ; ⇒ d = 2 2 k +1 l 2 q 2m = n + 1, n + 2, n + 3,...tutti i parametri interi
  • 3. Distanza tra c e aa 2 + b2 = c2(2mn) 2 + (m 2 − n 2 ) 2 = (m 2 + n 2 ) 2c − a = ( m − n) 2 = d⇒ m−n = d⇒ d = w2 kn = 1,2,3,...m = n+ d