## Formulas and theorems in pure mathematics |

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Page 169

Let Tlie Triangle and Circle. r = radius of inscribed circle. r0= radius of escribed

circle touching the side a. /£= radius of

Pig., A = r- + § + ^. 710 r = ft f a sin - sin -^ cos 711 712 B 0 [By a = root^r + rcot-jr.

Let Tlie Triangle and Circle. r = radius of inscribed circle. r0= radius of escribed

circle touching the side a. /£= radius of

**circumscribing circle**. 709 A r = — s [FromPig., A = r- + § + ^. 710 r = ft f a sin - sin -^ cos 711 712 B 0 [By a = root^r + rcot-jr.

Page 204

954 The Nine-point

perpendiculars on the sides of the triangle ABC. It also passes ... therefore, since

OB is the diameter of the

that ...

954 The Nine-point

**circle**is the**circle**described through D, E, F, the feet of theperpendiculars on the sides of the triangle ABC. It also passes ... therefore, since

OB is the diameter of the

**circle circumscribing**OFBD (III. 31), M is the centre ofthat ...

Page 634

38) ay = kfiS. Proof. — This is a curve of the second degree, and it passes

through the points where a meets /? and S, and also where y meets /3 and i.

4698 The

lies without ...

38) ay = kfiS. Proof. — This is a curve of the second degree, and it passes

through the points where a meets /? and S, and also where y meets /3 and i.

4698 The

**circumscribing circle**is ay = ±/88; + or — , as the origin of coordinateslies without ...

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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