# 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; by General and Universal Rules. To which is Prefixed an Introduction, Containing a Succinct History of this Science. By Mr Nathaniel Hammond, ...

J. Walthoe, 1742 - 328 pages

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Page 296 - 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 53 - Reduce the fraction to its lowest terms, then extract the square root of the numerator for a new numerator, and the square root of the denominator for a new denominator.
Page ii - Andrews, &c., besides occasional searches for business ; also a General Treatise of Naval Trade and Commerce, as founded on the laws and statutes.
Page 5 - М. 4. If equal Quantities be divided by equal Quantities, their Quotients will be equal.
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...
Page 307 - Queftion, but oftentimes render it impofiible, by being propofed inconfiflent one to another. ; Having truly ftated the Queftion in it's fubftituted Letters, and found it limited to one Anfwer (or at leaft fo bounded as to have a certain determinate Number of Anfwers) then let all thofe...
Page xix - To be mafter of fo fruitful and general a theory was a mine of gold to a geometrician ; but it was- a greater glory to have been the difcoverer of fo furprifing and ingenious a fyftem.
Page 4 - AXIOM i. If equal Quantities be added to equal Quantities, the Sum of thefe Quantities will be equal. AXIOM z.
Page ii - A new method of improving cold, wet and barren lands, particularly clayey -grounds. With the manner of burning clay, turf, and mole-hills, as practised in North -Britain.