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according affection Algebra angle appears application arithmetical assigned assumed base becomes called Chapter circle coefficients common complete consequently considered continued convergent corresponding cube 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 methods 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
Seite 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.
Seite 233 - The logarithm of a product is the sum of the logarithms of its factors.
Seite 246 - The sides of a triangle are proportional to the sines of the opposite angles.
Seite 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.
Seite 357 - HAMILTON. A publication which is justly distinguished for the originality and elegance of its contributions to every department of analysis.
Seite 21 - The coefficient of the quotient must be, found by dividing the coefficient of the dividend by that of the divisor ; and 2.
Seite 164 - Given the sines and cosines of two angles, to find the sine and cosine of their sum or difference.
Seite 393 - ... and it is in this sense, and in this sense only, that...