Daboll's Schoolmaster's Assistant, Improved and Enlarged
S. Green, 1825 - Arithmetic - 240 pages
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acres added allowing amount annuity annum answer Bought Bring bushels called cent cloth common contain continue cost cube currency cyphers decimal deduct demand denomination difference Divide dividend divisor dollars dols Entered equal EXAMPLES farthings federal money feet figure Find the value fraction gain gallon give given given sum greater half hundred inches interest left hand length less loss measure merchants method miles mills mixed months Multiply New-York nine paid payment pence period piece pound present worth principal proportion quantity question quotient ratio received Reduce remainder right hand rods RULE sell share shillings simple sold solid sort square root stand subtract sugar Table tare term third thousand unit weight whole whole number wine yards
Page 80 - ... from the right hand of the quotient, point off so many places for decimals, as the decimal places in the dividend exceed those in the divisor.
Page 173 - RULE. 1 . Separate the given number into periods of three figures each, by putting a point over the unit figure and every third figure bejond the place of units. 2. Find the greatest cube in the left hand period, and put its root in the quotient. 3.
Page 183 - The first term, the last term (or the extremes) and the ratio given, to find the sum of the series. RULE. Multiply the last term by the ratio, and from the product subtract the first term ; then divide the remainder by the ratio, less by l,and the quotient will be the sum of all the terms.
Page 188 - If the errors are alike, divide the difference of the products by the difference of the errors, and the quotient will be the answer. .5. If the errors are unlike, divide the sum of the products by the sum of the errors, and the quotient will bo the answer.
Page 210 - Ixos being given, to find how many bushels it will contain. RULE. Multiply the length by the breadth, and that product by the depth, divide the last product by 2150,425 the solid inches in a statute bushel, and the quotient will be the answer. EXAMPLE. There is a square...
Page 190 - To find the number of Permutations or changes, that can be made of any given number of things, all different from each other RULE.
Page 121 - Cast the interest on the several payments, from the time they were paid, to the time of settlement, and find their amount ; and lastly deduct the amount of the several payments, from the amount of the principal.
Page 147 - CASE II. , To reduce a mixed number to its equivalent improper fraction. RULE. Multiply the whole number...
Page 165 - COMPUTE the interest on the principal sum, from the time when the interest commenced to the first time when a payment was made, which exceeds either alone or in conjunction with the preceding payments (if any) the interest at that time due: add that interest to the principal, and from the sum subtract the payment made at that time, together with the preceding payments (if any) and the remainder forms a new principal ; on which, compute and subtract the interest, as upon the first principal: and proceed...
Page 176 - Alligation alternate is the method of finding what quantity of any number of simples, whose rates are given, will compose a mixture of a given rate ; so that it is the reverse of Alligation medial, and may be proved by it. RULE 1.* 1. Write the rates of the simples in a column under each other.