# Introduction to the national arithmetic, on the inductive system: combining the analytic and synthetic methods; in which the principles of the science are fully explained and illustrated

Published by Robert S. Davis & Co., 1861 - Mathematics - 324 pages

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Page 145 - RULE. —- Multiply all the numerators together for a new numerator, and all the denominators for a new denominator, NOTE 1.
Page 158 - RULE. — Multiply the numerators together for a new numerator, and the denominators together for a new denominator.
Page 277 - In every right-angled triangle, the square of the hypothenuse is equal to the sum of the squares of the base and perpendicular, as shown by the following diagram.
Page 8 - ... one two three four five six seven eight nine ten eleven twelve thirteen fourteen fifteen sixteen seventeen eighteen nineteen twenty thirty forty fifty sixty seventy eighty ninety one hundred two hundred three hundred four hundred five hundred...
Page 155 - Multiplication is the process of taking one number as many times as there are units in another.
Page 283 - Find the greatest cube in the left-hand period, and place its root on the right.
Page 209 - Compute the interest to the time of the first payment; if that be one year or more from the time the interest commenced, add it to the principal, and deduct the payment from the sum .total. If there be...
Page 287 - ... series. The numbers which form the series are called the terms of the series. The first and last terms are the extremes, and the other terms are called the means.
Page 136 - The Greatest Common Divisor of two or more numbers is the greatest number that will exactly divide each of them. Thu4, 18 is the greatest, common divisor of 36 and 54, since it is the greatest number that will divide each of them without a remainder.
Page 209 - But if any payments be made before one year's interest hath accrued, then compute the interest on the principal sum due on the obligation for one year,* add it to the principal, and compute the interest on the sum paid from the time it was paid up to the end of the year ; add it to the sum paid, and deduct that sum from the principal and interest added together.