Algebra for the Use of Colleges and Schools: With Numerous Examples |
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Common terms and phrases
according algebraical arithmetical balls becomes called chance Chapter coefficient combinations common consider contains continued fraction convergent cube definition denominator denote determine digits divergent divided divisible equal equation event example expansion expression factors four fraction give given greater greatest happen Hence hold increases infinite interest least less letters mean measure method miles Multiply negative obtain occur person positive integers preceding present prime probability problem proposed prove quadratic quantities quotient ratio remainder represent respectively result rule scale shew shillings side Similarly simple solution Solve square root student subtraction suppose taken theorem things third trial true unity unknown whole zero
Popular passages
Page 59 - If the numerator and denominator of a fraction be multiplied by the same number, the value of the fraction is not altered.
Page 16 - In the multiplication of whole numbers, place the multiplier under the multiplicand, and multiply each term of the multiplicand by each term of the multiplier, writing the right-hand figure of each product obtained under the term of the multiplier which produces it.
Page 355 - Discount is an allowance made for the payment of a sum of money before it is due. From the definition of present value, it follows that a debt due at some future...
Page 76 - By transposing we mean bringing the unknown quantities (x, y, z, etc.) to one side of the equation, and the known quantities to the other.
Page 61 - Multiply together the numerators for a new numerator, and the denominators for a new denominator.
Page 87 - В contains 9 gallons of wine and 3 gallons of water ; how many gallons must be drawn from each cask so as to produce by their mixture 7 gallons of wine and 7 gallons of water ? 33.
Page 5 - ... the coefficient of ab. If it be necessary to distinguish this use of the word coefficient from the former, we may call the latter coefficients literal coefficients, and the former numerical coefficients.
Page 240 - One quantity is said to vary directly as a second and inversely as a third, when it varies jointly as the second and the reciprocal of the third. Thus...