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according added affirmative alſo Anſ anſwering ariſe arithmetical co-efficient common completing conſequently continued decimal denominator determined difference Divide dividend diviſor equal equation EXAMPLES extracting extremes figns fimple equations find the value find three numbers find x firſt term fought four fraction geometrical give Given given number greater greateſt indices infinite ſeries leaſt leſs Let the number letter logarithm manner means method moſt Multiply muſt natural nearly negative Note numbers ſuch poſitive PRACTICE PROBLEM progreſſion proportion propoſed quadratic equation queſtion quotient ratio Reduce remainder Required the ſum reſult root RULE ſame ſecond term ſeries ſhall ſigns ſimple ſome Square ſquare numbers ſquare root ſubſtituted ſubtract ſuch ſum ſuppoſed taken theſe third thoſe tion unknown quantity uſe Whence whole numbers whoſe
Seite 15 - Now .} of f- is a compound fraction, whose value is found by multiplying the numerators together for a new numerator, and the denominators for a new denominator.
Seite 3 - If the same quantity, or equal quantities, be subtracted from equal quantities, the remainders will be equal. 3. If equal quantities be multiplied by the same quantity, or equal quantities, the products will be equal.
Seite 20 - Note. The whole number of terms will be one more than the index of the given power ; and when both terms of the root are +, all the terms of the power will be + ; but if the second term be — , all the odd terms will be...
Seite 3 - ... 1. If equal quantities be added to equal quantities, the sums will be equal. 2. If equal quantities be subtracted from equal quantities, the remainders will be equal. 3. If equal quantities be multiplied by equal quantities, the products will be equal. 4. If equal quantities be divided by equal quantities, the quotients will be equal. 5.
Seite 20 - ... and the product be divided :by the number of terms to that place, it will give the coefficient of the term next following.
Seite 58 - If A and B together can perform a piece of work in 8 days, A and C together in 9 days, and B and C in 10 days : how many days would it take each person to perform the same work alone ? Ans.
Seite 168 - And also, when 1 is borrowed, in the left-hand place of the decimal part of the logarithm, add it to the index of the divisor when...
Seite 51 - Let the given equations be multiplied or divided by such numbers or quantities as will make the term, which contains one of the unknown quantities, to be the...