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

### From inside the book

Page 88

a > a , and – ( 0/5 + 1 ) a , ar = “ To divide a given line into two such parts

a > a , and – ( 0/5 + 1 ) a , ar = “ To divide a given line into two such parts

**that the rectangle contained by the whole and one of the parts**shall be equal to the square of the other . ” If we call x the greater of the two parts ...### What people are saying - Write a review

We haven't found any reviews in the usual places.

### Common terms and phrases

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

### Popular passages

Page 88 - 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 235 - The logarithm of . the quotient of two numbers, is equal to the logarithm of the dividend diminished by the logarithm of the divisor.

Page 235 - The logarithm of a product is the sum of the logarithms of its factors.

Page 248 - The sides of a triangle are proportional to the sines of the opposite angles.

Page 455 - 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 359 - 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 166 - Given the sines and cosines of two angles, to find the sine and cosine of their sum or difference.

Page 395 - ... and it is in this sense, and in this sense only, that...

Page 262 - 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.