## A Treatise on Algebra: Symbolical algebra and its applications to the geometry of positions |

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### Contents

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### Common terms and phrases

according affection Algebra angle appears application arithmetical Arithmetical Algebra assigned assumed base becomes biquadratic equation called Chapter circle coefficients common complete consequently considered continued convergent corresponding cubic definition denominator denote determined direction divide division divisor equal equation equivalent examples exist expression factors figure final follows formula fraction geometrical given gives greater identical inasmuch interpretation involve less likewise limits logarithms magnitude manner meaning measure methods multiple negative operations opposite period positive powers preceding primitive principle problem proposed ratio reduced reference relation remainder replace represent respect right angles roots rule satisfy shewn sides similar simple sine and cosine solution square root subtraction successive suppose Symbolical Algebra symbols theory tion triangle values whole zero

### Popular passages

Page 86 - AB be the given straight line ; it is required to divide it into two parts, so that the rectangle contained by the whole, and one of the parts, shall be equal to the square of the other part.

Page 233 - The logarithm of . the quotient of two numbers, is equal to the logarithm of the dividend diminished by the logarithm of the divisor.

Page 233 - The logarithm of a product is the sum of the logarithms of its factors.

Page 246 - The sides of a triangle are proportional to the sines of the opposite angles.

Page 453 - Inquiry into the Validity of a Method recently proposed by George B. Jerrard, Esq., for Transforming and Resolving Equations of Elevated Degrees: undertaken at the request of the Association by Professor Sir WR Hamilton.

Page 357 - HAMILTON. A publication which is justly distinguished for the originality and elegance of its contributions to every department of analysis.

Page 21 - The coefficient of the quotient must be, found by dividing the coefficient of the dividend by that of the divisor ; and 2.

Page 164 - Given the sines and cosines of two angles, to find the sine and cosine of their sum or difference.

Page 393 - ... and it is in this sense, and in this sense only, that...

Page 260 - Fink not only discovered the law of tangents, but pointed out its principal application; namely, to aid in solving a triangle when two sides and the included angle are given.