Analytic geometry
Conic sections
Ellipses, hyperbolas and parabolas, their foci and eccentricities.
Analytic geometry
Ellipse equation value
F = x²/a²+y²/b²→Analytic geometryEllipse area
S = πab→Analytic geometryEllipse eccentricity
e = √(1−b²/a²)→Analytic geometryEllipse focal distance
c = √(a²−b²)→Analytic geometryHyperbola eccentricity
e = √(1+b²/a²)→Analytic geometryHyperbola asymptote y
y = (b/a)x→Analytic geometryParabola: y squared from x and p
y² = 2px→Analytic geometryCircle equation
(x−x₀)²+(y−y₀)²=R²→Analytic geometryCircle from general equation
x²+y²+Dx+Ey+F=0→Analytic geometryCircle from center and point
R=|OP|→Analytic geometryCircle through three points
x²+y²+Dx+Ey+F=0→Analytic geometryCanonical ellipse equation
(x−x₀)²/a²+(y−y₀)²/b²=1→Analytic geometryEllipse foci
F₁,₂=(x₀±c,y₀)→Analytic geometryEllipse focal distance (Android)
c=√(a²−b²)→Analytic geometryEllipse directrices
x=x₀±a/e→Analytic geometryCanonical hyperbola equation
(x−x₀)²/a²−(y−y₀)²/b²=1→Analytic geometryCanonical parabola equation
(y−y₀)²=2p(x−x₀)→