A Treatise on Algebra: Symbolical algebra and its applications to the geometry of positionsJ. & J. J. Deighton, 1845 |
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Σελίδα v
... roots of 1 is so important , not merely with reference to the signs of 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 ...
... roots of 1 is so important , not merely with reference to the signs of 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 ...
Σελίδα vii
... roots in Symbolical Algebra : origin of ambiguous roots and of the sign √ - 1 CHAPTER XVIII . Applications of the fundamental operations of Symbolical Algebra to expressions involving the sign √ - 1 . CHAPTER XIX . 67 74 On the ...
... roots in Symbolical Algebra : origin of ambiguous roots and of the sign √ - 1 CHAPTER XVIII . Applications of the fundamental operations of Symbolical Algebra to expressions involving the sign √ - 1 . CHAPTER XIX . 67 74 On the ...
Σελίδα viii
... roots of 1 as signs of affec- tion .... CHAPTER XXIV . PAGE 96 110 120 On the symbolical properties of different orders of the root of 1. 123 CHAPTER XXV . On the general principles of the interpretation of the signs of affection which ...
... roots of 1 as signs of affec- tion .... CHAPTER XXIV . PAGE 96 110 120 On the symbolical properties of different orders of the root of 1. 123 CHAPTER XXV . On the general principles of the interpretation of the signs of affection which ...
Σελίδα 62
... root of a ( Art . 223 ) : we conclude , therefore , that a is identical in meaning with Ja , inasmuch as when multiplied into itself , it produces the same result * . 637 ... roots of 1 and -1 . The continued product 4 as xas xa xas x as 62.
... root of a ( Art . 223 ) : we conclude , therefore , that a is identical in meaning with Ja , inasmuch as when multiplied into itself , it produces the same result * . 637 ... roots of 1 and -1 . The continued product 4 as xas xa xas x as 62.
Σελίδα 67
... root , we shall always find two roots , which only differ from each other in their sign ; but it is the positive square root alone which is recognized in Arithmeti- Arithmetical Algebra , and which may therefore be called the cal square ...
... root , we shall always find two roots , which only differ from each other in their sign ; but it is the positive square root alone which is recognized in Arithmeti- Arithmetical Algebra , and which may therefore be called the cal square ...
Συχνά εμφανιζόμενοι όροι και φράσεις
A₁ angle of transfer application arith Arithmetical Algebra assumed becomes biquadratic equation Chapter coefficients common divisor considered corresponding cos² 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 sin² sine and cosine solution square root subtraction successive Symbolical Algebra tangent tion triangle unknown quantities values whole number zero
Δημοφιλή αποσπάσματα
Σελίδα 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.
Σελίδα 235 - The logarithm of . the quotient of two numbers, is equal to the logarithm of the dividend diminished by the logarithm of the divisor.
Σελίδα 235 - The logarithm of a product is the sum of the logarithms of its factors.
Σελίδα 248 - The sides of a triangle are proportional to the sines of the opposite angles.
Σελίδα 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.
Σελίδα 359 - HAMILTON. A publication which is justly distinguished for the originality and elegance of its contributions to every department of analysis.
Σελίδα 21 - The coefficient of the quotient must be, found by dividing the coefficient of the dividend by that of the divisor ; and 2.
Σελίδα 166 - Given the sines and cosines of two angles, to find the sine and cosine of their sum or difference.
Σελίδα 395 - ... and it is in this sense, and in this sense only, that...
Σελίδα 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.