Geometria

	Eq. Reduzida Declive: m${\displaystyle m}$, Ordenada na Origem: b${\displaystyle b}$	y=mx+b${\displaystyle y=mx+b}$
	Eq. Vetorial Vetor Diretor: u⃗ (u1,u2,u3)${\displaystyle \overrightarrow{u}(u_1,u_2,u_3)}$ Ponto da reta(x0,y0,z0)${\displaystyle (x_0,y_0,z_0)}$	(x,y,z)=(x0,y0,z0)+k(u1,u2,u3),k∈R${\displaystyle (x,y,z)=(x_0,y_0,z_0)+k(u_1,u_2,u_3),k\in ℝ}$
	Eq. Cartesiana Vetor Diretor: u⃗ (u1,u2,u3)${\displaystyle \overrightarrow{u}(u_1,u_2,u_3)}$ Ponto da reta(x0,y0,z0)${\displaystyle (x_0,y_0,z_0)}$	x−x0u1=y−y0u2=z−z0u3${\displaystyle \frac{x-x_0}{u_1}=\frac{y-y_0}{u_2}=\frac{z-z_0}{u_3}}$
	Eq. Paramétrica Vetor Diretor: u⃗ (u1,u2,u3)${\displaystyle \overrightarrow{u}(u_1,u_2,u_3)}$ Ponto da reta(x0,y0,z0)${\displaystyle (x_0,y_0,z_0)}$	⎧⎩⎨⎪⎪x=x0+Ku1y=y0+Ku2z=z0+Ku3,k∈R${\displaystyle \{\begin{array}{l}x=x_0+K{u}_1\\ y=y_0+K{u}_2\\ z=z_0+K{u}_3\end{array},k\in ℝ}$
	Eq. Cartesiana Vetor Normal: n⃗ (n1,n2,n3)${\displaystyle \overrightarrow{n}(n_1,n_2,n_3)}$ Ponto do plano(x0,y0,z0)${\displaystyle (x_0,y_0,z_0)}$	n1(x−x0)+n2(y−y0)+n3(z−z0)=0${\displaystyle n_1(x-x_0)+n_2(y-y_0)+n_3(z-z_0)=0}$
	Eq. Geral Vetor Normal: n⃗ (n1,n2,n3)${\displaystyle \overrightarrow{n}(n_1,n_2,n_3)}$	n1x+n2y+n3z+d=0${\displaystyle n_{1}x+n_{2}y+n_{3}z+d=0}$
	Eq. Vetorial Vetor Diretor: u⃗ ${\displaystyle \overrightarrow{u}}$ e v⃗ ${\displaystyle \overrightarrow{v}}$ Ponto do plano: P${\displaystyle P}$	(x,y,z)=P+ku⃗ +tv⃗ ;k,t∈R${\displaystyle (x,y,z)=P+k\overrightarrow{u}+t\overrightarrow{v};k,t\in ℝ}$
	Centro (x0,y0)${\displaystyle (x_0,y_0)}$ e raio r${\displaystyle r}$	(x−x0)2+(y−y0)2=r2${\displaystyle {(x-x_0)}^2+{(y-y_0)}^2=r^2}$
	Centro (x0,y0,z0)${\displaystyle (x_0,y_0,z_0)}$ e raio r${\displaystyle r}$	(x−x0)2+(y−y0)2+(z−z0)2=r2${\displaystyle {(x-x_0)}^2+{(y-y_0)}^2+{(z-z_0)}^2=r^2}$
	Centro (h,k)${\displaystyle (h,k)}$ e semi-eixos a${\displaystyle a}$ e b${\displaystyle b}$	(x−ha)2+(y−kb)2=1