mixedStandard Hyperbola GeometryThe source gives the standard hyperbola and its core geometry.x2a2−y2b2=1\frac{x^2}{a^2}-\frac{y^2}{b^2}=1a2x2−b2y2=1b2=a2(e2−1)b^2=a^2(e^2-1)b2=a2(e2−1)S=(±ae,0)S=(\pm ae,0)S=(±ae,0)x=±aex=\pm\frac{a}{e}x=±eaA=(±a,0)A=(\pm a,0)A=(±a,0)ℓ=2b2a=2a(e2−1)\ell=\frac{2b^2}{a}=2a(e^2-1)ℓ=a2b2=2a(e2−1)Variables & Notationaaaparameter or semi-major axis depending on contextbbbline coefficient or semi-minor axis depending on contexteeeeccentricity
