The Elements of Algebra in a New and Easy Method: With Their Use and Application, in the Solution of a Great Variety of Arithmetical and Geometrical Questions ... To which is Prefixed an Introduction, Containing a Succinct History of this Science

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author, sold, 1772 - Algebra - 328 pages
 

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Page 54 - ... cyphers may be annexed ; when the result will be decimals. Should there be decimals in the given number, still the pointing is to begin from the unit's place of the integers, and a point to be placed over every alternate figure both right and left. The square root of a fraction is found by extracting the square root of the numerator for a new numerator, and the root of the denominator for a new denominator ; if, however, this cannot be done, let the fraction be reduced to a decimal and the root...
Page 219 - Elimination by Substitution consists in finding the value of one of the unknown quantities in one of the equations, in terms of the other unknown quantity and known terms, and substituting this, instead of the quantity, in the other equation.
Page 297 - FIND THE VALUE OF ONE OF THE UNKNOWN QUANTITIES IN EACH OF THE EQUATIONS, AND FORM A NEW EQUATION BY MAKING ONE OF THESE VALUES EQUAL TO THE OTHER.
Page xix - ... age, resided, recollected that he had met with the same thing in the writings of that young gentleman, and there not confined to the hyperbola only, but extended by general forms to all sorts of curves, even such as are mechanical, to their quadratures, their rectifications and...
Page 90 - ... and the sought quantities be denoted by symbols or letters, an equation may be deduced from that ratio, which will involve the value of the unknown quantity. When the equation is found, the sequel of the operation is easy ; for it is always practicable, by means of addition and subtraction, to place the known quantities on one side of the equation, and the unknown quantity on the other, from which position its value will be apparent. 626. The SYMBOLS or letters of an equation may express either...

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