## Formulas and theorems in pure mathematics |

### From inside the book

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Page xii

Geometrical Progression ... Harmonical Progression ... Permutations and

Combinations Surds Simplification of va+Vb and Va+ -/b Simplification of Vo+ </b

.. Binomial

Continued ...

Geometrical Progression ... Harmonical Progression ... Permutations and

Combinations Surds Simplification of va+Vb and Va+ -/b Simplification of Vo+ </b

.. Binomial

**Theorem**Multinomial**Theorem**Logarithms Exponential**Theorem**Continued ...

Page xiv

No.ot Article Limits of the Roots 448 Newton's Method ... ... ... ... ... ... 452 Rolle's

Equations 466 Binomial Equations 472 Solution of as^il = 0 by Do Moivre's

No.ot Article Limits of the Roots 448 Newton's Method ... ... ... ... ... ... 452 Rolle's

**Theorem**... ... ... ... ... ... 454 Newton's Method of Divisors 459 ReciprocalEquations 466 Binomial Equations 472 Solution of as^il = 0 by Do Moivre's

**Theorem**480 ...Page 112

By last. 368 If « be a prime the coefficient of every term in the expansion of (a -\-b

+ c ...)*, except a", bn, &c, is divisible by n. By last. Put /3 for (b + c + ...). 369

Fermat's

by p.

By last. 368 If « be a prime the coefficient of every term in the expansion of (a -\-b

+ c ...)*, except a", bn, &c, is divisible by n. By last. Put /3 for (b + c + ...). 369

Fermat's

**Theorem**. — If p be a prime, and N prime to p; then Np~1—1 is divisibleby p.

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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