A Treatise on Algebra: Symbolical algebra and its applications to the geometry of positionsJ. & J. J. Deighton, 1845 |
Fra bogen
Resultater 1-5 af 99
Side 2
... a - b will become 0 + b and 0 - b , or + b and -- b , or b and - b respectively , when a becomes equal to zero : this is another mode of deriving the conclusion in the text . 547. Proceeding upon the assumptions made in the last Rule 2.
... a - b will become 0 + b and 0 - b , or + b and -- b , or b and - b respectively , when a becomes equal to zero : this is another mode of deriving the conclusion in the text . 547. Proceeding upon the assumptions made in the last Rule 2.
Side 12
... equal distance to the north and con- versely ; such an interpretation of the meaning of these signs when thus applied , is consistent with the assumption that the operation denoted by in the expression a - b is equally pos- sible for ...
... equal distance to the north and con- versely ; such an interpretation of the meaning of these signs when thus applied , is consistent with the assumption that the operation denoted by in the expression a - b is equally pos- sible for ...
Side 13
... Equal lines which have the same relative though dif- Equal lines ferent absolute positions , will be expressed by the same symbol which have with the same sign : for if AB and CD be taken equal to each other upon the same line , and be ...
... Equal lines which have the same relative though dif- Equal lines ferent absolute positions , will be expressed by the same symbol which have with the same sign : for if AB and CD be taken equal to each other upon the same line , and be ...
Side 14
... equal and parallel lines C drawn towards the same B D E parts , are identical in magnitude and direction , and therefore represented by the same symbol with the same sign . 562. It will follow , therefore , that if AB and CD be two equal ...
... equal and parallel lines C drawn towards the same B D E parts , are identical in magnitude and direction , and therefore represented by the same symbol with the same sign . 562. It will follow , therefore , that if AB and CD be two equal ...
Side 15
... equal amount , and the subtrac- tion of a debt ( c ) is equivalent to the addition of property ( c ) of an equal amount : and it consequently appears that the sub- traction of a debt , in the language of Symbolical Algebra , is not its ...
... equal amount , and the subtrac- tion of a debt ( c ) is equivalent to the addition of property ( c ) of an equal amount : and it consequently appears that the sub- traction of a debt , in the language of Symbolical Algebra , is not its ...
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.