## Formulas and theorems in pure mathematics |

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Page 666

4850 A right line intersecting a

reciprocal

Two ...

4850 A right line intersecting a

**curve**in n points becomes n tangents to thereciprocal

**curve**passing through a fixed point. 4851 Two lines intersecting on a**curve**become two points whose joining line touches the reciprocal**curve**. 4852Two ...

Page 706

CONTACT OF

cross at the point if n be even. No

contact ...

CONTACT OF

**CURVES**. 5188 A contact of the wth order exists between two**curves**when n successive derivatives, yx, ... y^ or r„ ... r^, correspond. The**curves**cross at the point if n be even. No

**curve**can pass between them which has acontact ...

Page 708

0 be the equation of a

equations, then, by varying the parameters, a series of intersecting

be obtained. The envelope of these

...

0 be the equation of a

**curve**having n parameters a,b,c, ... connected by n— 1equations, then, by varying the parameters, a series of intersecting

**curves**maybe obtained. The envelope of these

**curves**will be found by differentiating all the...

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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