# Ray's New Higher Arithmetic: A Revised Edition of the Higher Arithmetic

American Book Company, 1880 - Arithmetic - 408 pages
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### Contents

 RATIO 12 SUBTRACTION 27 DIVISION 43 PROPERTIES OF NUMBERS 59 COMMON FRACTIONS 75 DECIMAL FRACTIONS 99 CIRCULATING DECIMALS 115 COMPOUND DENOMINATE NUMPERS 125
 I 198 PERCENTAGE APPLICATIONS Without Time 241 Annuities 308 PARTNERSHIP 327 ALLIGATION 333 INVOLUTION 342 SERIES 369 MENSURATION 378

 PROPORTION 177 PERCENTAGE 188
 MISCELLANEOUS EXERCISES 401

### Popular passages

Page 264 - 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 as above...
Page 261 - If the payment exceeds the interest, the surplus goes toward 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 then the surplus is to be applied toward discharging the principal; and interest is to...
Page 264 - 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 after payments made, compute the interest on the balance due to the next payment, and then deduct the payment as above; and, in like manner, from one payment to another, till all the payments are absorbed ; provided the time between one payment and another be one year or more.
Page 261 - 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.
Page 364 - The square described on the hypothenuse of a rightangled triangle is equal to the sum of the squares described on the other two sides.
Page 151 - OF WEIGHT 10 milligrams (mg.) = 1 centigram (eg.) 10 centigrams = 1 decigram (dg.) 10 decigrams = 1 gram (g.) 10 grams = 1 dekagram (Dg...
Page 178 - The first and last terms of a proportion are called the extremes, and the two middle terms are called the means.
Page 161 - Place the remainder under the column added, and carry the quotient to the next column.
Page 344 - The square of the sum of two numbers is equal to the square of the first, plus twice the product of the first and the second, plus the square of the second.
Page 214 - The promise thus made was a promise " to answer for the payment of some debt, or the performance of some duty, in case of the failure of another person who is himself, in the first instance, liable to such payment or performance.