A Treatise on Algebra: Symbolical algebra and its applications to the geometry of positionsJ. & J. J. Deighton, 1845 |
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Side viii
... factors . CHAPTER XXI . The binomial theorem and its applications CHAPTER XXIII . On the use of the square and higher roots of 1 as signs of affec- tion .... CHAPTER XXIV . PAGE 96 110 120 On the symbolical properties of different ...
... factors . CHAPTER XXI . The binomial theorem and its applications CHAPTER XXIII . On the use of the square and higher roots of 1 as signs of affec- tion .... CHAPTER XXIV . PAGE 96 110 120 On the symbolical properties of different ...
Side 18
... factors ( Art . 37 ) : if the coefficient be 1 , ( Art . 30 ) , it is generally suppressed , as not necessary to be exhibited . " " Its literal part is found by writing the several letters and their powers in immediate succession after ...
... factors ( Art . 37 ) : if the coefficient be 1 , ( Art . 30 ) , it is generally suppressed , as not necessary to be exhibited . " " Its literal part is found by writing the several letters and their powers in immediate succession after ...
Side 19
... factors of a product succeed each other : it is on this account that it is usual to follow the alphabetical order ... factor 11 . 528 ( 10 ) 11xx - 12yx - 13 = 1716xyz . 2x -5xy 9xyz - 3x3y3 z ( 11 ) X X = 3 8 10 8 = - 48 " 572. CASE 2 ...
... factors of a product succeed each other : it is on this account that it is usual to follow the alphabetical order ... factor 11 . 528 ( 10 ) 11xx - 12yx - 13 = 1716xyz . 2x -5xy 9xyz - 3x3y3 z ( 11 ) X X = 3 8 10 8 = - 48 " 572. CASE 2 ...
Side 20
... factor into every term of the other , add the several partial products together , and arrange the terms of the result ... factors , multiply the third into the product of the two first : and similarly for any number of them ” ( Art . 61 ) ...
... factor into every term of the other , add the several partial products together , and arrange the terms of the result ... factors , multiply the third into the product of the two first : and similarly for any number of them ” ( Art . 61 ) ...
Side 22
... factor 3 ax , which is common to the divi- dend and divisor . ( 6 ) - 18 abcde ÷ -12bde , or - 18abcde Зас - 12bde = 2 suppressing the factor 6bde , which is common both to the dividend and divisor . Other examples are given in Art . 77 ...
... factor 3 ax , which is common to the divi- dend and divisor . ( 6 ) - 18 abcde ÷ -12bde , or - 18abcde Зас - 12bde = 2 suppressing the factor 6bde , which is common both to the dividend and divisor . Other examples are given in Art . 77 ...
Almindelige termer og sætninger
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
Populære passager
Side 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.
Side 235 - The logarithm of . the quotient of two numbers, is equal to the logarithm of the dividend diminished by the logarithm of the divisor.
Side 235 - The logarithm of a product is the sum of the logarithms of its factors.
Side 248 - The sides of a triangle are proportional to the sines of the opposite angles.
Side 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.
Side 359 - HAMILTON. A publication which is justly distinguished for the originality and elegance of its contributions to every department of analysis.
Side 21 - The coefficient of the quotient must be, found by dividing the coefficient of the dividend by that of the divisor ; and 2.
Side 166 - Given the sines and cosines of two angles, to find the sine and cosine of their sum or difference.
Side 395 - ... and it is in this sense, and in this sense only, that...
Side 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.