## Formulas and theorems in pure mathematics |

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INTRODUCTION". 1400

upon another quantity x is called a,

are all

of as.

INTRODUCTION". 1400

**Functions**. — A quantity which depends for its valueupon another quantity x is called a,

**function**of x. Thus, sin x, logx, ax, at+ax+xtare all

**functions**of x. The notation y =f(x) expresses generally that y is a**function**of as.

Page 866

of a composite

—7 : All : N.50,52,85. • of a

derivative of inverse

: 1815.

of a composite

**function**: 1420: nth, G.13. • of exponentials and logarithms : 1422—7 : All : N.50,52,85. • of a

**function**of a**function**: 1415 : A.9 : in terms ofderivative of inverse

**function**, M^m.57. of a**function**of two independent variables: 1815.

Page 877

•Euler's constant : 2744 : Pr.15,16,18,19, 20, Table 27. and Binet's

: L.75. Euler's equation : N.72 : integration of it by the lines of curvature of a ruled

hyberboloid, N.75. Euler's equations of motion solved by elliptic integrals : Q.14.

•Euler's constant : 2744 : Pr.15,16,18,19, 20, Table 27. and Binet's

**function**: C.77: L.75. Euler's equation : N.72 : integration of it by the lines of curvature of a ruled

hyberboloid, N.75. Euler's equations of motion solved by elliptic integrals : Q.14.

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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