A Treatise on Algebra: Symbolical algebra and its applications to the geometry of positionsJ. & J. J. Deighton, 1845 - Algebra |
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Page v
... affection which they symbolize , but likewise in the exposition of the general theory of equa- tions and in all the higher branches of Symbolical Algebra , that I have thought it expedient to give it with unusual fulness and detail ...
... affection which they symbolize , but likewise in the exposition of the general theory of equa- tions and in all the higher branches of Symbolical Algebra , that I have thought it expedient to give it with unusual fulness and detail ...
Page viii
... affection which are symbolized by the roots of 1 .... CHAPTER XXVI . On the representation and measures of angles CHAPTER XXVII . On the theory of the sines and cosines of angles CHAPTER XXVIII . 135 144 156 On the tangents , cotangents ...
... affection which are symbolized by the roots of 1 .... CHAPTER XXVI . On the representation and measures of angles CHAPTER XXVII . On the theory of the sines and cosines of angles CHAPTER XXVIII . 135 144 156 On the tangents , cotangents ...
Page 10
... affections or qualities of the magnitudes represented , as are convertible by the operations of addition and subtraction : it is on this account that a can admit of no interpretation , as compared with a or + a , when a denotes an ...
... affections or qualities of the magnitudes represented , as are convertible by the operations of addition and subtraction : it is on this account that a can admit of no interpretation , as compared with a or + a , when a denotes an ...
Page 11
... affection , whether south or cal Alge- north . Arithmeti- bra . trical solu- In the geometrical solution of the problem , the distances are Its geome- expressed and exhibited to the eye , both in quality and mag - trical nitude : and ...
... affection , whether south or cal Alge- north . Arithmeti- bra . trical solu- In the geometrical solution of the problem , the distances are Its geome- expressed and exhibited to the eye , both in quality and mag - trical nitude : and ...
Page 12
George Peacock. The signs + and used as signs of affection of a - ba- ( a - c ) + c = c , and in the other , when ba + c , a - b = a- ( a + c ) = - c . - Assuming the first result + c or c , which is common to Arith- metical Algebra , to ...
George Peacock. The signs + and used as signs of affection of a - ba- ( a - c ) + c = c , and in the other , when ba + c , a - b = a- ( a + c ) = - c . - Assuming the first result + c or c , which is common to Arith- metical Algebra , to ...
Common terms and phrases
A₁ angle of transfer application arith Arithmetical Algebra assumed becomes biquadratic equation Chapter coefficients common divisor considered corresponding cosē cosecant cotangent cube roots cubic equation denote determined divergent series divisor equa equal equisinal equivalent forms examples expression factors figure follows formula fraction geometrical angle given in Art goniometrical angle greater identical inasmuch indeterminate infinity involve last Article less likewise logarithms magnitude and position metical multiple negative nth roots operations period primitive equation primitive line problem proposition quadratic quotient radius ratio replace represent right angles shewn sides similar manner sinē 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 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.