The New System of Practical Arithmetic: Whereby Most of the Various Problems of that Useful Science are Easily and Expeditiously Solved by One Simple Rule ...

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W. D'Hart, 1835 - Arithmetic - 180 pages
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Page 62 - LIQUID MEASURE 4 gills (gi.) = 1 pint (pt.) 2 pints = 1 quart (qt...
Page 111 - 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...
Page 36 - To change a mixed number to an improper fraction, multiply the whole number by the denominator of the fraction and add the numerator.
Page 152 - Bring down the first figure of the next period to the remainder for a new dividend, to which find a new divisor as before, and in like manner proceed till the whole be finished.
Page 64 - DIVISIONS OF THE CIRCLE. 60 Seconds = 1 Minute. 60 Minutes = 1 Degree. 30 Degrees = 1 Sign. 90 Degrees = 1 Quadrant. 360 Degrees, or 12 Signs = 1 Circumference. Formerly the subdivisions were carried on by sixties ; thus, the second was divided into 60 thirds, the third into 60 fourths, &c.
Page 111 - 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 174 - For half yearly payments take a unit from the ratio, and from the square root of the ratio; half the quotient of the first remainder divided by the latter, will be the tabular number. For quarterly payments use the 4th root as above, and take one quarter of the quotient. CASE 1. The annuity, time, and rate of interest given, to find the amount. RULE. From the ratio involved to the time take...
Page 158 - SET down the two dimensions to be multiplied together, one under the other, so that feet may stand under feet, inches under inches, &c. Multiply each term in the multiplicand, beginning at the lowest, by the feet in the multiplier, and set the result of each straight under its corresponding term, observing to carry 1 for every 12, from the inches to the feet.
Page 159 - 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...
Page 116 - DISCOUNT. DISCOUNT is an allowance made for the payment of money before it is due. The present worth of a debt payable at some future...

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