A Treatise on Algebra: Symbolical algebra and its applications to the geometry of positionsJ. & J. J. Deighton, 1845 |
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Σελίδα iv
... whole course of its developement , beginning with the geometrical interpre- tation of the signs and when considered with reference to each other , and advancing to that of the various other signs which are symbolized by the roots of 1 ...
... whole course of its developement , beginning with the geometrical interpre- tation of the signs and when considered with reference to each other , and advancing to that of the various other signs which are symbolized by the roots of 1 ...
Σελίδα xi
... whole or fractional , and the Arithmetic operations to which they are subject are assumed to be identical and Arith- in meaning and extent with the operations of the same name Algebra . in common Arithmetic : the only distinction ...
... whole or fractional , and the Arithmetic operations to which they are subject are assumed to be identical and Arith- in meaning and extent with the operations of the same name Algebra . in common Arithmetic : the only distinction ...
Σελίδα 30
... whole rect- angular area into 5 x 4 or 20 equal squares , each of which is constructed upon one of the several linear units into which the sides are divided . Assuming therefore the product ab to denote the rectangle ABCD , it will ...
... whole rect- angular area into 5 x 4 or 20 equal squares , each of which is constructed upon one of the several linear units into which the sides are divided . Assuming therefore the product ab to denote the rectangle ABCD , it will ...
Σελίδα 55
... whole number , making equal to d md d or m : a under such circumstances , therefore , the product of and C a b am becomes the product of and m , which is b ( Art . 130 ) : The pro- duct of two fractions . b such would be the result if ...
... whole number , making equal to d md d or m : a under such circumstances , therefore , the product of and C a b am becomes the product of and m , which is b ( Art . 130 ) : The pro- duct of two fractions . b such would be the result if ...
Σελίδα 61
... whole number : and if this condition be not fulfilled , the definition has no meaning , and therefore metical Algebra is no conclusions are deducible from it : the principles , however , necessarily of Symbolical Algebra , will enable ...
... whole number : and if this condition be not fulfilled , the definition has no meaning , and therefore metical Algebra is no conclusions are deducible from it : the principles , however , necessarily of Symbolical Algebra , will enable ...
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.