A Treatise on Algebra: Symbolical algebra and its applications to the geometry of positionsJ. & J. J. Deighton, 1845 |
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Σελίδα viii
... formula and the expression , by means of it , of the roots of 1 and of a b√ - 1 CHAPTER XXXI . On the representation of straight lines both in position and magnitude , and the application of Algebra to the theory of rectilinear figures ...
... formula and the expression , by means of it , of the roots of 1 and of a b√ - 1 CHAPTER XXXI . On the representation of straight lines both in position and magnitude , and the application of Algebra to the theory of rectilinear figures ...
Σελίδα 12
... formula , and therefore under one solution , the two cases of the problem which are required to be sepa- rately considered in Arithmetical Algebra * . - - 559. We are enabled to conclude , from the discussion of the preceding problem ...
... formula , and therefore under one solution , the two cases of the problem which are required to be sepa- rately considered in Arithmetical Algebra * . - - 559. We are enabled to conclude , from the discussion of the preceding problem ...
Σελίδα 86
... formula in Art . 422 , gives us - n 75 = | 42 − 3 ( n − 1 ) ¦ ¦ , where n , or the unknown number , is the number of terms of the series . We thence get 15n - n2 = 50 , n ° 15n = == - 50 , 225 25 n = 50 n - 15 2 == 5 n = 10 or 5 . If ...
... formula in Art . 422 , gives us - n 75 = | 42 − 3 ( n − 1 ) ¦ ¦ , where n , or the unknown number , is the number of terms of the series . We thence get 15n - n2 = 50 , n ° 15n = == - 50 , 225 25 n = 50 n - 15 2 == 5 n = 10 or 5 . If ...
Σελίδα 94
... formula or conclusion , pro- positions or cases of propositions which must be separately and distinctly considered in Geometry . The discussion of a general formula , or expression , origi- nating in the solution of a problem or ...
... formula or conclusion , pro- positions or cases of propositions which must be separately and distinctly considered in Geometry . The discussion of a general formula , or expression , origi- nating in the solution of a problem or ...
Σελίδα 104
... formula a ± 2 6 " ) } * . √ + b2 = b √ ( a2 + b2 ) This equation results from the solution of the following problem : " to deter- mine a right - angled triangle , the sum of whose sides containing the right angle is a , and the ...
... formula a ± 2 6 " ) } * . √ + b2 = b √ ( a2 + b2 ) This equation results from the solution of the following problem : " to deter- mine a right - angled triangle , the sum of whose sides containing the right angle is a , and the ...
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.