## Formulas and theorems in pure mathematics |

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Page xxx

The General Equation 4400 The ellipse and hyperbola 4402 Invariants of the

axes ... ... 4445 Rales for the analysis of the general equation ... 4464 Bight line

and ...

The General Equation 4400 The ellipse and hyperbola 4402 Invariants of the

**conic**... ... ... ... 4417 The parabola 4430 Method without transformation of theaxes ... ... 4445 Rales for the analysis of the general equation ... 4464 Bight line

and ...

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4696 When the general

(4695), by (4430) and (4689), and these equations then represent the directrix.

PARTICULAR

4696 When the general

**conic**is a parabola, C = 0 in (4693) and 4> (a, b, c) = 0 in(4695), by (4430) and (4689), and these equations then represent the directrix.

PARTICULAR

**CONICS**. 4697 A**conic**circumscribing the quadrilateral, the ...Page 661

4828 The condition that \x-\-ny + vz may be cut in involution by three conies is the

vanishing of the determinant where j4lf fl^, 5X belong to the first

the values in (4988). Proof. — The quadratic Axx, + 2Hxy + Biy' = 0, obtained in ...

4828 The condition that \x-\-ny + vz may be cut in involution by three conies is the

vanishing of the determinant where j4lf fl^, 5X belong to the first

**conic**and havethe values in (4988). Proof. — The quadratic Axx, + 2Hxy + Biy' = 0, obtained in ...

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### Contents

Introduction The C G S System of Units | 1 |

VHI Common and Hyperbolic Logarithms of | 7 |

QUANT1C8 1620 | 30 |

Copyright | |

108 other sections not shown

### Common terms and phrases

becomes Binomial Theorem bisect changes of sign chord circumscribing circle columns conic conjugate constant continued fraction convergent cosec cosine curve denoted determinant diameter divided eliminant ellipse equal equate coefficients expand factors figure formula function given circle given ratio Hence hyperbola imaginary roots infinite inscribed circle integer integral intersect inverse points limits logarithm method Multiply negative nine-point circle notation obtained orthogonally pair parabola parallel partial fractions perpendicular plane positive powers Proof Proof.—By Proof.—In Proof.—Let Proof.—The quantic quantities quotient radical axis radius respect result right angle rows Rule sides similar triangles Similarly sine singular solution solution squares substituting successive tangent Taylor's theorem theorem tion transformed triangle ABC unity vanishes variables zero