A Treatise on Algebra: Symbolical algebra and its applications to the geometry of positionsJ. & J. J. Deighton, 1845 |
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Σελίδα 2
... negative ( Art . 32 ) symbols , or positive and negative quantities : such sym- bols are also said to be affected with the signs + and Positive symbols and the numbers which they represent , form the subjects of the operations both of ...
... negative ( Art . 32 ) symbols , or positive and negative quantities : such sym- bols are also said to be affected with the signs + and Positive symbols and the numbers which they represent , form the subjects of the operations both of ...
Σελίδα 3
... negative ( Art . 545 ) as well as positive Negative symbols or expressions may be the subjects of this operation , may occu- and it is therefore not necessary , as in Arithmetical Algebra , py the first place in the that the first term ...
... negative ( Art . 545 ) as well as positive Negative symbols or expressions may be the subjects of this operation , may occu- and it is therefore not necessary , as in Arithmetical Algebra , py the first place in the that the first term ...
Σελίδα 9
... negative Conditions sign is equivalent to the subtraction of the same symbol pre- terpretation ceded by a positive ... negative symbols , the operation of addition is no longer associated with the fun- damental idea of increase , nor ...
... negative Conditions sign is equivalent to the subtraction of the same symbol pre- terpretation ceded by a positive ... negative symbols , the operation of addition is no longer associated with the fun- damental idea of increase , nor ...
Σελίδα 10
... negative sign will be said to be impossible or imagi- nary , whenever they are not capable of an interpretation , which is consistent with the conditions they are required to satisfy . It remains to shew that there exist large classes ...
... negative sign will be said to be impossible or imagi- nary , whenever they are not capable of an interpretation , which is consistent with the conditions they are required to satisfy . It remains to shew that there exist large classes ...
Σελίδα 16
... negative quantities , and of the operations to which they are subjected , will be sufficient to shew the student that the province of Symbolical Algebra is not unreal and imaginary , but that it comprehends the representation of large ...
... negative quantities , and of the operations to which they are subjected , will be sufficient to shew the student that the province of Symbolical Algebra is not unreal and imaginary , but that it comprehends the representation of large ...
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.