^^Proof without words. Visual proof.

Analogo a: Rappresentazioni spaziali dell'aritmetica e dell'algebra.

Arrivi: Fatti da sapere cmq.

 

∑ (1/2)n = 1    1/2 + 1/4 + 1/8 + ...

∑ (1/4)n = 1/3

∑ (1/3)n = 1/2

 

Serie geometrica, serie di potenze.

∑ i = n(n+1)/2

∑ 2n-1 = N2

   

 

 

Links internet

  1. https://blogs.mathworks.com/loren/2010/03/04/nichomachuss-theorem/
  2. wp/Proof_without_words
  3. wp/1/2 + 1/4 + 1/8 + 1/16 + ⋯
  4. wp/1/4 + 1/16 + 1/64 + 1/256 + ⋯
  5. www.cut-the-knot.org
  6. https://usamts.org/Gallery/G_Gallery.php
  7. https://mathoverflow.net/questions/8846/proofs-without-words
  8.  
  9. https://www.google.com/search?q=visual+proof
  10. https://www.google.it/search?q=proof+without+words
  11. http://3d-xplormath.org/
  12. yt/Moebius Transformations Revealed

 

Proof Without Words: Circle Area

http://www41.homepage.villanova.edu/robert.styer/Bouncingball/PagesIndex.htm

 

Links Librosito

  1. Teo: La somma degli angoli di deviazione di un poligono e' 1 angolo giro.
  2. Spirale di Fibonacci.

 

Guida ins

∑ (1/2)n = 1