A Treatise on Algebra: Symbolical algebra and its applications to the geometry of positionsJ. & J. J. Deighton, 1845 |
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Σελίδα iv
... reference to each other , and advancing to that of the various other signs which are symbolized by the roots of 1 : we are thus enabled , in the present volume , to bring the Geometry of Position , embracing the whole theory of lines ...
... reference to each other , and advancing to that of the various other signs which are symbolized by the roots of 1 : we are thus enabled , in the present volume , to bring the Geometry of Position , embracing the whole theory of lines ...
Σελίδα v
... 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 have thought it expedient to give it 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 have thought it expedient to give it with ...
Σελίδα 2
... reference to their connection with other symbols . Thus , in the expression ab , if we are authorized to assume a to be either greater or less than b , we may replace a by the equivalent expression b + c in one case , and by b - c in ...
... reference to their connection with other symbols . Thus , in the expression ab , if we are authorized to assume a to be either greater or less than b , we may replace a by the equivalent expression b + c in one case , and by b - c in ...
Σελίδα 4
... reference to the signs of the first term . ( 8 ) 3a - 4b ( 9 ) -7x2 + 6xy- 7y2 -7a + 86 a - 3b -3a + b y 8 x2 - 4xy- - 3x2 - xy + 10y3 -2x2 + xy + 2y2 In these examples , the sets of like terms are severally com- bined into one ( Art ...
... reference to the signs of the first term . ( 8 ) 3a - 4b ( 9 ) -7x2 + 6xy- 7y2 -7a + 86 a - 3b -3a + b y 8 x2 - 4xy- - 3x2 - xy + 10y3 -2x2 + xy + 2y2 In these examples , the sets of like terms are severally com- bined into one ( Art ...
Σελίδα 12
... reference to each other , will symbolize its qualities whether south or north : thus if + c denotes a distance to the south , c will denote an equal distance to the north and con- versely ; such an interpretation of the meaning of these ...
... reference to each other , will symbolize its qualities whether south or north : thus if + c denotes a distance to the south , c will denote an equal distance to the north and con- versely ; such an interpretation of the meaning of these ...
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.