Asaḍuf n id kusinus

Fig. 1

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

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

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 $\frac{\pi }{2}$ s raḍyan), hann $cos(\gamma )=0$, 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)