A Treatise on Algebra: Symbolical algebra and its applications to the geometry of positionsJ. & J. J. Deighton, 1845 |
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Σελίδα 10
... directions of lines in geometry , and which will symbols re- be found to constitute one of the most extensive applications presenting lines in of Symbolical Algebra : the discussion of the following problem geometry . will form the most ...
... directions of lines in geometry , and which will symbols re- be found to constitute one of the most extensive applications presenting lines in of Symbolical Algebra : the discussion of the following problem geometry . will form the most ...
Σελίδα 12
... directions , been considering , it is opposition of direction , and opposition of and oppo- direction alone which these signs can correctly express : for if tions only . we suppose AB ( a ) to be the distance site direc- to which the ...
... directions , been considering , it is opposition of direction , and opposition of and oppo- direction alone which these signs can correctly express : for if tions only . we suppose AB ( a ) to be the distance site direc- to which the ...
Σελίδα 13
... directions and in all these cases the quantity and direction of the movement to or from the same point , or the magnitude and direction of the geome- trical lines which express them , will be correctly symbolized by the signs + and ...
... directions and in all these cases the quantity and direction of the movement to or from the same point , or the magnitude and direction of the geome- trical lines which express them , will be correctly symbolized by the signs + and ...
Σελίδα 14
George Peacock. Equal pa- rallel lines estimated directions : the same sign for if AB be identical in magnitude and in direction with CD , and A if EF be identical in magnitude and direction . with CD , it will follow that AB and EF ...
George Peacock. Equal pa- rallel lines estimated directions : the same sign for if AB be identical in magnitude and in direction with CD , and A if EF be identical in magnitude and direction . with CD , it will follow that AB and EF ...
Σελίδα 15
... directions , such as a force which pushes and a force pulls , or a force which attracts and a force which repels , be expressed by lines in opposite directions whose lengths are proportional to the magnitudes of the forces : and it ...
... directions , such as a force which pushes and a force pulls , or a force which attracts and a force which repels , be expressed by lines in opposite directions whose lengths are proportional to the magnitudes of the forces : and it ...
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.