## Formulas and theorems in pure mathematics |

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Page 53

(n-r+l) a„_rfir \r_ 127 or . — L^t— a"-^' |n— yjr if re be a positive integer. If b be

negative, the signs of the even terms will be changed. If n be negative the

expansion reduces to 128 (a+b)-

125.

(n-r+l) a„_rfir \r_ 127 or . — L^t— a"-^' |n— yjr if re be a positive integer. If b be

negative, the signs of the even terms will be changed. If n be negative the

expansion reduces to 128 (a+b)-

**BINOMIAL THEOREM**. 53**Binomial Theorem**125.

Page 176

Observe that in these series the coefficients are those of the

with this exception, — If n be even, the, last term must be divided by 2. The series

are obtained by expanding (fl"± «")" by the

Observe that in these series the coefficients are those of the

**Binomial Theorem**,with this exception, — If n be even, the, last term must be divided by 2. The series

are obtained by expanding (fl"± «")" by the

**Binomial Theorem**, collecting the ...Page 270

Then, with the notation of (1405), 1512 f(x+h,y+k) = u+(hux+ku,) + ±(lruix+2hkux,+

Vuiy) + j-^-g (h3ui,+3h*ku2r,+3hVu^+k>u3t)+&c. 1513 The general term is given

by . — (hdx-\-kd$)n u, where, in the expansion by the

Then, with the notation of (1405), 1512 f(x+h,y+k) = u+(hux+ku,) + ±(lruix+2hkux,+

Vuiy) + j-^-g (h3ui,+3h*ku2r,+3hVu^+k>u3t)+&c. 1513 The general term is given

by . — (hdx-\-kd$)n u, where, in the expansion by the

**Binomial Theorem**, each ...### 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