## Formulas and theorems in pure mathematics |

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Page 297

1735 Let TJ = <p (x, y, z, £, tj) be a function of five

equations u = 0, v = 0, w = 0 ; so that two of the

independent. Making ij constant, the equations in (1723), and the values

obtained ...

1735 Let TJ = <p (x, y, z, £, tj) be a function of five

**variables**connected by threeequations u = 0, v = 0, w = 0 ; so that two of the

**variables**E, n may be consideredindependent. Making ij constant, the equations in (1723), and the values

obtained ...

Page 868

D. E. linear — (continued) : with

which connect a complete function of the 1st kind with the modulus : C.86.

homogeneous : Ac.l : J.90 : Mo.82. integrating factors of : C.97,98. integration by ...

D. E. linear — (continued) : with

**variable**coefficients : C.92 : J.66,68,76: L.80,81.which connect a complete function of the 1st kind with the modulus : C.86.

homogeneous : Ac.l : J.90 : Mo.82. integrating factors of : C.97,98. integration by ...

Page 882

do. by permutationof the

integrals of linear d. e with rational coefficients : C.90,: J.89. of an analytical point,

ths : C.95,. of a circular area from a given integral condition : Z.26. of imaginary ...

do. by permutationof the

**variables**: C.21,. obtained from the inversion of theintegrals of linear d. e with rational coefficients : C.90,: J.89. of an analytical point,

ths : C.95,. of a circular area from a given integral condition : Z.26. of imaginary ...

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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