A Treatise on Algebra: Symbolical algebra and its applications to the geometry of positionsJ. & J. J. Deighton, 1845 - Algebra |
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Common terms and phrases
A₁ angle of transfer application arith Arithmetical Algebra assumed becomes biquadratic equation Chapter coefficients common divisor consequently considered corresponding cos² cosecant cotangent cube roots cubic equation denote determined digit divergent series divisor equa equal equivalent forms examples expression figure finite follows formula fraction geometrical goniometrical angle greater identical inasmuch indeterminate infinity involve last Article less likewise loga logarithms magnitude and position mantissa metical multiple negative numerator and denominator operations primitive equation primitive line problem quadratic quotient ratio replace represent right angles shewn sides similar manner sin² sin³ sine sine and cosine solution square root subtraction successive Symbolical Algebra tangent tion triangle unknown quantities values whole number 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 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 72 - The principle involved is that the square root of a product is equal to the product of the square roots...
Page 166 - Given the sines and cosines of two angles, to find the sine and cosine of their sum or difference.
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 395 - ... and it is in this sense, and in this sense only, that...
Page 59 - Whatever algebraical forms are equivalent, when the symbols are general in form but specific in value, will be equivalent likewise when the symbols are general in value as well as in form.