Pi

Amḍan $\pi$ ( yettwanṭeq "pi") d timezgit n tusnakt , netta d wassaɣ n tiseɣleyt n twinest ar wakdu-ines, s temẓawt yegda-d 3.14159. Amḍan $\pi$ yetban-d deg mennaw n tenfaliyin deg tusnakt d tfizikt.

$\pi$ d amḍan armeɣẓan, alnamek-is ur yezmir ara ad yettwaru s taẓunt n sin ummiden, ama nezmer ad d-t-naru s umata s temẓawt s tirẓi $\frac{22}{7}$.

dɣa, amḍan $\pi$ ur d-yetfuk ara akk.

Idusalen

Isem

Azamul-nni yusad seg usekkil agrigi $\pi$ s tuget n tutlayin n umaḍal yettwanṭeq pi.

S teqbaylit daɣen yettwanṭeq "pi".

Tabadut

tiseɣleyt(circumference) n twinest meqqar ɣef wakdu-ines (diametre) s kṛad tikwal akken. azal ufrin yettwasumma $\pi$

$\pi$ d wassaɣ n tiseɣleyt n twinest ar wakdu-ines$$\pi =\frac{C}{d}$$

tagrumma-ines

$\pi$ d amḍan armeɣẓan, alnamek-is ur yezmir ara ad yettwaru s taẓunt n sin ummiden, ama nezmer ad d-t-naru s umata s temẓawt s tirẓi $\frac{22}{7}$ d $\frac{355}{113}$.

Tamyuṛt

$\pi$ d amḍan amyuṛan

$\pi$ d amḍan amyuṛan, lmaɛna-ines dakken ur yezmir ara ad yili tifrat n tegda tagetfulf ur nelli timezgit s imuskiren imeɣẓanen am : $\frac{x^5}{120}-\frac{x^3}{6}+x=0$

Tirẓi tamaɣlalt

Am akken $\pi$ d amḍan armeɣẓan, alnamek-is ur yezmir ara ad yettwaru s taẓunt n sin ummiden. Ama $\pi$ am akk imḍanen nniḍen, nezmer ad-d-naru s umazrar imifeḍ n tiṛziwin yedduklen gar-asent, qaren-as tirẓi tamaɣlalt $\pi =3+\frac{1}{7+\frac{1}{15+\frac{1}{1+\frac{1}{292+\frac{1}{1+\frac{1}{1+\frac{1}{1+\ddots }}}}}}}$

Tamaẓawt n Pi

Kra n temẓawin n $\pi$ d wigi:

• Ummiden: 3
• Tirẓiyin: 22/73, 333/106, 355/113, 52163/16604, 103993/33102, 104348/33215 d 245850922/78256779.   (umuɣ seg OEIS:A063674 d OEIS: A063673.)
• izwilen: 50 izwilen imezwura n $\pi$ d 3.14159265358979323846264338327950288419716939937510(ẓer OEIS: A000796 )