Asekkud n Pythagore

Asekkud n Pythagore d yiwen seg yisekkuden igejdanen deg tussna n tusnakt. Yettwassen s waṭas ɣer yinelmaden n uswir alemmas, acku yeskan assaɣ yellan gar yidisan n ukerdis amaɣud.

Asegzi n usekkud

Asekkud n Pythagore yeqqar-d:

Deg ukerdis amaɣud, tajumma n umkuẓ yebnan ɣef walubdis tegda d tajumma n yimkuẓen yebnan ɣef sin n yidisan-nniḍen.

S uslugen n tusnakt, nezmer ad t-naru akka:

a 2 + b 2 = c 2 {\displaystyle a^{2}+b^{2}=c^{2}}

Anda:

Anza

Llant aṭas n wanzayen i yesbegnen asekkud-a. Yiwet seg-sent tagi :

ad yili akerdis s yidisen a akked b , akked alubdis c , ad nessexdem kuẓ seg sen akken ad negg yiwen amkuẓ s yidisen a + b {\displaystyle a+b} am akka twalan deg udem 3

wagi ad yesnuleɣ amkuẓ deg tlemmast yesɛan idis teɣzi-s c yarnu tajumma-s c 2 {\displaystyle c^{2}} .

Ama, ma ad nbeddel idgan n kuẓ ikerdisen igi am akka twalam deg udem 4, nezmer ad nwali kuẓ imkuẓen daxel n yiwen amkuẓ ameqqran, yiwen yesɛa a2 deg tjumma-s d wayeḍ yesɛa b2 deg tjumma-s :

Am akken amkuẓ ameqqran yesɛa yiwet tjumma deg sin idgan-igi, i.e ( a + b ) 2 {\displaystyle (a+b)^{2}} arnu am akken ikerdisen d yiwen-sen deg sin idgan, ilaq ad nzemmem (conclure) belli d imkuẓen si sin yid-sen a 2 {\displaystyle a^{2}} akked b 2 {\displaystyle b^{2}} ugdan ar amkuẓ ameqqran c 2 {\displaystyle c^{2}}

dɣa : a 2 + b 2 = c 2 {\displaystyle a^{2}+b^{2}=c^{2}}

Amezruy

Asekkud-a yettwassen s yisem n Pythagore, amusnak agrigi i yedderen gar 570 d 495 send talalit n Ɛisa. Maca, aṭas n yimusnawen ɛerḍen ad d-sbanen belli asekkud-a yella yettwassen uqbel Pythagore, ladɣa sɣur Ibabuliyen d Yimaṣriyen iqburen. Akken yebɣu yili, d Pythagore i t-yessuffɣen-d s wudem ummid, yerna yefka-yas anzaten yesdukklen.

Seg tallit-nni ar ass-a, asekkud n Pythagore yuɣal d allal agejdan deg tusnakt, ladɣa deg tanzeggit (géométrie) d tussniwin n usihel (sciences de l'ingénieur).