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

J. & J. J. Deighton, 1845 - Algebra
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### Contents

 CHAPTER xi CHAPTER XII 17 CHAPTER XIII 36 CHAPTER XIV 52 CHAPTER XV 59 CHAPTER XVII 67 CHAPTER XVIII 74 CHAPTER XXI 110
 CHAPTER XXX 194 bottom 195 CHAPTER XXXI 207 CHAPTER XXXII 234 CHAPTER XXXIII 246 CHAPTER XXXIV 260 CHAPTER XXXV 268 CHAPTER XXXVI 278

 CHAPTER XXIII 120 CHAPTER XXV 135 CHAPTER XXVI 144 CHAPTER XXVII 156 11 172 CHAPTER XXVIII 181 CHAPTER XXIX 188
 CHAPTER XXXVII 284 CHAPTER XXXIX 308 3 324 CHAPTER XLI 326 2 341 CHAPTER XLII 346

### 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.