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Algebra2D

Conic Sections - Theory & Concepts - Eccentricity Explorer

Equations, properties, and graphs of circles, ellipses, parabolas, and hyperbolas.

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Conic Section Focus-Directrix Explorer

Current Conic

Ellipse

d(P,F)d(P,D)=e=0.70\frac{d(P, F)}{d(P, D)} = e = 0.70
Eccentricity (e)0.70
Circle (e=0)Ellipse (0<e<1)Parabola (e=1)Hyperbola (e>1)
Directrix Position (d)x = 3.0
Selected Angle (θ)60°

Focus-Directrix Verification

Focus F: (0.00, 0.00)
Point P: (0.78, 1.35)
Distance PF: 1.556
Distance PD: 2.222
Ratio PF/PD:0.700 (≈ e)
x = dF (Focus)P
PF (Focus Vector)
PD (Directrix vector)