## Formulas and theorems in pure mathematics |

### From inside the book

Results 1-3 of 68

Page xxiv

George Shoobridge Carr. VI. C. — The rectangle of the sides of a triangle is

equal to the rectangle under the

the diameter of the circumscribing circle. VI. D. — Ptolemy's Theorem. The

rectangle of ...

George Shoobridge Carr. VI. C. — The rectangle of the sides of a triangle is

equal to the rectangle under the

**perpendicular**from the vertex on the base andthe diameter of the circumscribing circle. VI. D. — Ptolemy's Theorem. The

rectangle of ...

Page 231

Orthogonal Projection. 1087 Definition. — In orthogonal projection the lines of

projection are parallel to each other, and

The vertex in this case may be considered to be at infinity. 1088 The projections

of ...

Orthogonal Projection. 1087 Definition. — In orthogonal projection the lines of

projection are parallel to each other, and

**perpendicular**to the plane of projection.The vertex in this case may be considered to be at infinity. 1088 The projections

of ...

Page 571

A line passing through x'y and

)• (4073> 78) 4087 or Bx—Ay—Bx'—Ay. The two lines passing through x'y and

making an angle /3 (= tan_1m2) with a given line (m^ : 4088 £=< = -fc^ and ...

A line passing through x'y and

**perpendicular**to a given line (m) : 4086 y-y'=-^ (*-*')• (4073> 78) 4087 or Bx—Ay—Bx'—Ay. The two lines passing through x'y and

making an angle /3 (= tan_1m2) with a given line (m^ : 4088 £=< = -fc^ and ...

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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