Rainey's Improved Abacus: An Explanatory Treatise on the Theory and Practice of Arithmetic and Mensuration ; in which the General Principles Involved in Practical Calculations are Thoroughly Elucidated and Illustrated by Numerous Analytic and Abbreviated Examples

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E. D. Truman, 1849 - Arithmetic - 312 pages
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Page 46 - 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 45 - 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 towards discharging the principal; and interest is to be Computed on the balance, as aforesaid.
Page 46 - 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 231 - ... divide this last product by 95, the quotient whereof shall be deemed the true contents or tonnage of such ship or vessel; and if such ship or vessel be...
Page 60 - A hare starts 12 rods before a greyhound, but is not perceived by him till she has been up 45 seconds ; she scuds away at the rate of 10 miles an hour, and the dog...
Page 231 - ... take the depth from the under side of the deck plank to the ceiling in the hold, then multiply and divide as aforesaid, and the quotient shall be deemed the tonnage.
Page 230 - If the vessel be double-decked, take the length thereof from the fore part of the main stem, to the after part of the stern post, above the upper deck"; the breadth thereof at the broadest part above the main wales, half of which breadth shall be accounted the depth of such vessel, and then deduct from the...
Page 46 - ... from the time they were paid to the time of settlement, and deduct the sum of these several amounts from the amount of the principal.
Page 162 - If a footman travel 240 miles in 12 days, when the days are 12 hours long; how many days will he require to travel 720 miles, wh-jn the days are 16 hours long?
Page 237 - Pythagoras' theorem states that the square of the length of the hypotenuse of a right-angled triangle is equal to the sum of the squares of the lengths of the other two sides.

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