Higher Arithmetic: Designed for the Use of High Schools, Academies, and Colleges ... with an Appendix

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H. H. Hawley & Company, 1850 - 342 σελίδες
 

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Δημοφιλή αποσπάσματα

Σελίδα 17 - ... any number divided by 9 will leave the same remainder as the sum of its digits divided by 9.
Σελίδα 194 - Multiply the divisor, thus augmented, by the last figure of the root, and subtract the product from the dividend, and to the remainder bring down the next period for a new dividend.
Σελίδα 311 - That is, the square of the sum of two numbers is equal to the square of the first number, plus twice the product of the two numbers, plus the square of the second number.
Σελίδα 24 - Divide the greater number by the less, the divisor by the remainder, and thus continue to divide the last divisor by the last remainder until there is no remainder ; the last divisor will be the greatest common divisor.
Σελίδα 134 - ... apply the payment, in the first place, to the discharge of the interest then due. If the payment exceeds the interest, the surplus goes towards discharging the principal, and the subsequent interest is to be computed on the balance of principal remaining due. If the payment be less than the interest, the surplus of interest must not be taken to augment the principal; but interest continues on the former principal until the period when the payments, taken together, exceed the interest due, and...
Σελίδα 39 - Multiply all the numerators together for a new numerator, and all the denominators for a new denominator: then reduce the new fraction to its lowest terms.
Σελίδα 134 - The rule for casting interest, when partial payments have been made, is to apply the payment, in the first place, to the discharge of the interest then due. " If the payment exceeds the interest, the surplus goes towards discharging the principal, and the subsequent interest is to be computed on the balance of principal remaining due.
Σελίδα 212 - Hence, when we have giveh the first term, the common difference, and the number of terms, to find the last term, we have this RULE.
Σελίδα 325 - The logarithm of the product of any number of factors is equal to the sum of the logarithms of the factors.
Σελίδα 11 - To raise a whole number or a decimal to any power, use it as a factor as many times as there are units in the exponent.

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