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Bonnycastle's Introduction to Algebra: Containing the Indeterminate and ...
Uten tilgangsbegrensning - 1844
Bonnycastle's Introduction to Algebra: Containing the ..., Sider 1-283
J. Bonnycastle,J. Ryan,J. F. Jenkins
Ingen forhåndsvisning tilgjengelig - 2017
added Algebra answer arise arithmetical arithmetical mean arithmetical series binomial coefficients consequently cube root cubic equation decimal denominator denoted determined divide the number divisor equal EXAMPLES FOR PRACTICE expression factors find a number find the square find the sum find the value find three numbers find two numbers former formula four roots fourth fraction gallons geometrical geometrical mean geometrical progression geometrical series give given equation given number Given x3 greatest common measure Hence improper fraction infinite series integral last term latter less logarithms method multiplied negative number of terms perpendicular Problem proportion quadratic equation quadratic surd question quotient rational remain Required the number Required the sum required to divide required to find resolved result rule second term shillings side square number square root substituted subtracted taken third unknown quantity Whence whole numbers yards
Side 43 - Reduce compound fractions to simple ones, and mixt numbers to improper fractions ; then multiply the numerators together for a new numerator, and the denominators for. a new denominator.
Side 27 - Divide the first term of the dividend by the first term of the divisor, and write the result as the first term of the quotient. Multiply the whole divisor by the first term of the quotient, and subtract the product from the dividend.
Side 111 - A person has two horses, and a saddle worth £50 ; now, if the saddle be put on the back of the first horse, it will make his value double that of the second ; but if it be put on the back of the second, it will make his value triple that of the first ; what is the value of each horse ? Ans.
Side 29 - In the case here given, the operation of division may be considered as terminated, when the highest power of the letter, in the first, or leading term of the remainder, by which the process is regulated, is less than the...
Side 112 - 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 will it take each person to perform the the same work alone ? Ans.
Side 12 - Q/~\—C = equal to, the sign of equality; signifying that the quantities between which it is placed are equal to each other. Thus...
Side 52 - ... and the quotient will be the next term of the root. Involve the whole of the root, thus found, to its proper power, which subtract from the given quantity, and divide the first term of the remainder by the same divisor as before...
Side 126 - It is required to divide the number 60 into two such parts, that their product shall be to the sum of their squares in the ratio of 2 to 5.