A Treatise on Algebra: Symbolical algebra and its applications to the geometry of positionsJ. & J. J. Deighton, 1845 |
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Σελίδα xi
... divided by b , as in the expression ( Art . 71 ) , it is assumed that b is an abstract number . In all these cases , the operation required to be performed , whether it be addition or subtraction , multiplication or division , is ...
... divided by b , as in the expression ( Art . 71 ) , it is assumed that b is an abstract number . In all these cases , the operation required to be performed , whether it be addition or subtraction , multiplication or division , is ...
Σελίδα 30
... divided into linear units , and lines parallel to the other sides be drawn through the points of division , it will be divided into a number of equal rhombs , which is equal to the numerical product of the numbers of linear units in the ...
... divided into linear units , and lines parallel to the other sides be drawn through the points of division , it will be divided into a number of equal rhombs , which is equal to the numerical product of the numbers of linear units in the ...
Σελίδα 32
... divided into cubes equal to each other ( and to becgdf ) , constructed upon a linear unit , the num- ber of which will be equal to the product of the numbers which express the number of linear units in each edge respectively : the ...
... divided into cubes equal to each other ( and to becgdf ) , constructed upon a linear unit , the num- ber of which will be equal to the product of the numbers which express the number of linear units in each edge respectively : the ...
Σελίδα 37
... divided without intro- braical ducing fractions . Such divisors may generally be discovered by the mere inspection of the several terms in which they present themselves . Thus a is obviously a divisor of every term of the numerator ...
... divided without intro- braical ducing fractions . Such divisors may generally be discovered by the mere inspection of the several terms in which they present themselves . Thus a is obviously a divisor of every term of the numerator ...
Σελίδα 55
... divided by ? md d Supposing the divisor , as before , to become or m , where m is a whole number , it will follow that the quotient of a b с by will become , under such circumstances , identical with ( 9 ) ( 10 ) ( 11 ) d 1 - 1 ) 1 - 1 ...
... divided by ? md d Supposing the divisor , as before , to become or m , where m is a whole number , it will follow that the quotient of a b с by will become , under such circumstances , identical with ( 9 ) ( 10 ) ( 11 ) d 1 - 1 ) 1 - 1 ...
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.