## Formulas and theorems in pure mathematics |

### From inside the book

Results 1-3 of 56

Page 48

95 The number of permutations of n things taken r at a time is

P{n, r) = n(n-l) (n— 2) ... (n-r+1) = n(r). By (94) ; for (n—r) things are left out of each

permutation ; therefore P (n, r) = \jv_ -J- [to— r. Observe that r = the number of ...

95 The number of permutations of n things taken r at a time is

**denoted**by P (n, r).P{n, r) = n(n-l) (n— 2) ... (n-r+1) = n(r). By (94) ; for (n—r) things are left out of each

permutation ; therefore P (n, r) = \jv_ -J- [to— r. Observe that r = the number of ...

Page 185

The centre of the sphere will be

triangle ABC has for its angular points A', B', C, the poles of the sides BC, CA, AB

of the primitive triangle in the directions of A, B, C respectively (since each great ...

The centre of the sphere will be

**denoted**by 0. The polar triangle of a sphericaltriangle ABC has for its angular points A', B', C, the poles of the sides BC, CA, AB

of the primitive triangle in the directions of A, B, C respectively (since each great ...

Page 257

Let y be any function of x

causes a definite change in the value of y ; then x is called the independent

variable, and y the dependent variable. Let an indefinitely small change in x,

Let y be any function of x

**denoted**by f(x), such that any change in the value of xcauses a definite change in the value of y ; then x is called the independent

variable, and y the dependent variable. Let an indefinitely small change in x,

**denoted**...### What people are saying - Write a review

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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