Asaḍuf n id kusinus

Amnni ad icqqa ad t tfhmt ! Amnni ad gis kra n iwalwn nna ur iẓḍaṛ yan ad tn ifhm iɣ ur issin ɣ umawal iẓlin n tutlayt taclḥiyt tatrart. Mad igan afssay ? Fad ad tfhmt mad gis illan tzḍart ad tawst i yixf nnk s umawal lli illan ɣ izddar akkʷ n tasna. Iɣ t ur tufit, tzḍart ad nn taggʷt ɣ imawaln d isgzawaln.

Ɣ uskriɣmr, asaḍuf n id kusinus (ittawsan ula s yism n tanfalit n kusinus nɣ askkud n Al Kaci) tga yan usaḍuf nna ismunn tiɣziwin n tasgiwin n kra n umkṛaḍ d kusinus n yan zɣ tiɣmriwin. S uswuri n tirra zund tin Fig. 1, asaḍuf n iwankn n id kusinus

Fig. 1

$c^{2}=a^{2}+b^{2}-2ab\cos \gamma ,$

maɣ $\gamma$ tga tiɣmrt lli illan gr tiɣziwin $a$ d $b$ d tasga tamuzzlt n $c$. I tawlaft ann nit rad darnɣ ilin ula :

$a^{2}=b^{2}+c^{2}-2bc\cos \alpha ,$

$b^{2}=a^{2}+c^{2}-2ac\cos \beta .$

Asaḍuf n id kusinus ar tskar asmata i askkud n Pitaguras, nna ur illan dar imkṛaḍn unziɣn : iɣ tga $\gamma$ tiɣmrt taɣadant (nna dar illa 90 daraja, nɣ ${\textstyle {\pi \over 2}}$ s raḍyan), hann ${\textstyle cos(\gamma )=0}$, s ɣmk ad as iskar usaḍuf n id kusinus asmata i askkud n Pitaguras : $c^{2}=a^{2}+b^{2}$.

Ar nswurri s usaḍuf n id kusinus iɣ nra ad nḥasb tiɣmrt tiss kraḍt n kra n umkṛaḍ iɣ yad tawssan darnɣ snat tasgiwin d tiɣmrt nnsn iqqnn, d ula ɣ lḥsab n tiɣmriwin n kra n umkṛaḍ iɣ yad ttawssan darnɣ tasgiwin nns s kraḍ-itsnt.

Amawal

• Asaḍuf = loi
• Tanfalit = formule
• Askkud = theoreme
• Amkṛaḍ = triangle
• Tiɣmrt = angle
• Awank = etat
• Amuzzl = opposant
• Asmata = generalisation
• Unziɣ = rectangle
• Taɣadant = droit

Ẓṛ uggar

• Asaḍuf n id sinus
• Sinus (tusnakt)