## Formulas and theorems in pure mathematics |

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Page 218

The polar of any point P with

diameter OP (Fig. 1012) drawn through the inverse point P. 1017 It follows that

the polar of a point exterior to the circle is the chord of contact of the tangents fron

the ...

The polar of any point P with

**respect**to a circle is the perpendicular to thediameter OP (Fig. 1012) drawn through the inverse point P. 1017 It follows that

the polar of a point exterior to the circle is the chord of contact of the tangents fron

the ...

Page 224

Take Pjr, one of the four axes of similitude, and find its poles a, /3, y with

to the given circles, centres A, B, C (1016). From 0, the radical centre, draw lines

through a, /3, y, cutting the circles in a, a', 6, b', c, c. Then a, 6, c and a, b\ c will be

...

Take Pjr, one of the four axes of similitude, and find its poles a, /3, y with

**respect**to the given circles, centres A, B, C (1016). From 0, the radical centre, draw lines

through a, /3, y, cutting the circles in a, a', 6, b', c, c. Then a, 6, c and a, b\ c will be

...

Page 814

5905 The moment of inertia of a body with

of the products of each element of mass and the square of its distance from the

plane or point. 5906 The product of inertia of a body with

rectangular ...

5905 The moment of inertia of a body with

**respect**to a plane or point is the sumof the products of each element of mass and the square of its distance from the

plane or point. 5906 The product of inertia of a body with

**respect**to tworectangular ...

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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