An Introduction to Algebra: With Notes and Observations: ... By John Bonnycastle, ...J. Johnson, 1782 - 201 σελίδες |
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4th power affirmative alfo alſo anfwering arife arithmetical mean co-efficient confequently cube numbers cube root cubic equation decimal Diophantus Divide dividend divifor equal fame fecond term fide fimple equations fince find the fum Find the product find the value find three numbers find two numbers find x firft term firſt fome four quantities fquare numbers fquare root fraction fubftituted fubtract fum required fuppofe furd geometric mean geometrical progreffion given number higheſt power improper fraction increaſed infinite feries laſt lefs Let the number metical moidores moſt Multiply muſt natural numbers negative nth root number of terms number required numbers fuch orders of differences pofitive PROBLEM propofed proportion quadratic equation Quotient 4x quotient required reaſon refult remainder Required the fum root required RULE ſeries ſhall ſquare thefe theſe thofe thoſe unknown quantity unlike figns uſeful Whence whole numbers
Δημοφιλή αποσπάσματα
Σελίδα 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.
Σελίδα 151 - ... if the logarithm of any number be multiplied by the index of its power, the product will be equal to the logarithm of that power.
Σελίδα 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.
Σελίδα 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...
Σελίδα 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.
Σελίδα 20 - ... and the product be divided :by the number of terms to that place, it will give the coefficient of the term next following.
Σελίδα 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.
Σελίδα 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...
Σελίδα 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...
Σελίδα 22 - ... and set the root of the first term in the quotient. 2. Subtract the square of the root, thus found from the first term, and bring down the two next terms to the remainder for a dividend. 3. Divide the dividend...