Formulas and Theorems in Pure Mathematics |
Contents
other is also | 1 |
Product of Squares of Differences of same | 4 |
Prime numbers from 1 to 109 | 7 |
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A₁ axes axis b₁ becomes Binomial Theorem C₁ centre centroid chord circle coefficients column complete primitive confocal conic conjugate constant continued fraction convergent coordinates curvature curve determinant diameter differential equation divided eliminate ellipse equal expansion factors formula function given Hence homogeneous function hyperbola imaginary roots infinity integral intersection line of curvature locus method Multiply normal obtained osculating plane P₁ P₂ parabola parallel partial fractions perpendicular plane polar positive PROOF PROOF.-By PROOF.-Let PROOF.-The quadratic quadric quotient radical axis radius ratio reciprocal respectively result right line sides Similarly sinē singular solution solution Substitute surface tangent theorem tion triangle u₂ values vanish variables zero