## Formulas and theorems in pure mathematics |

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Page xxiii

A right line parallel to the sido of a triangle cuts the othor

and conversely. VI. 3 and A. — The bisector of the interior or exterior vertical

angle of a triangle divides the base into segments proportional to the

A right line parallel to the sido of a triangle cuts the othor

**sides**proportionally ;and conversely. VI. 3 and A. — The bisector of the interior or exterior vertical

angle of a triangle divides the base into segments proportional to the

**sides**. VI. 4.Page 185

The

a sphere of radius unity ; and the angles A, B, 0 are the angles between the

tangents to the

great ...

The

**sides**a, b, c of a spherical triangle are the arcs of great circles BC, CA, AB ona sphere of radius unity ; and the angles A, B, 0 are the angles between the

tangents to the

**sides**at the vertices, or the angles between the planes of thegreat ...

Page 211

Triangles of constant species circumscribed to a triangle. 977 Let ABC be any

triangle, and 0 any point ; and let circles circumscribe AOB, BOC, GOA. The

circumferences will be the loci of the vertices of a triangle of constant form whose

Triangles of constant species circumscribed to a triangle. 977 Let ABC be any

triangle, and 0 any point ; and let circles circumscribe AOB, BOC, GOA. The

circumferences will be the loci of the vertices of a triangle of constant form whose

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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