The Improved Arithmetic: Newly Arranged and Clearly Illustrated, Both Theoretically and Practically to Meet the Exigencies of the Student in the Acquisition of the Nature and Science of Numbers, and Also, to Aid the Accountant in All Arithmetical Computations, Relative to Business Transactions : Designed for the Use of Academies, Schools, and Counting-houses |
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Page 293
... side having 475 men ; how many would the whole square contain ? Rule . - Square the given number . Ans . 225625 . 2. A certain pavement is made exactly square , each side of which contains 88 feet ; how many square feet does the square ...
... side having 475 men ; how many would the whole square contain ? Rule . - Square the given number . Ans . 225625 . 2. A certain pavement is made exactly square , each side of which contains 88 feet ; how many square feet does the square ...
Page 294
... sides ? / 7744-88 Ans . - PROB . III . - To form any body of soldiers , so that they may be double , triple , & c . as many in rank as in file . Rule . - Extract the square root of 1 , 3 , 4 , & c . of the given number of men , and that ...
... sides ? / 7744-88 Ans . - PROB . III . - To form any body of soldiers , so that they may be double , triple , & c . as many in rank as in file . Rule . - Extract the square root of 1 , 3 , 4 , & c . of the given number of men , and that ...
Page 295
... side of a square equal to the circle . Rule . - Extract the square root of the area , and the answer will be the side of a square , equal in area to the circle . Note . - The square root of the area of any figure whatever , is the side ...
... side of a square equal to the circle . Rule . - Extract the square root of the area , and the answer will be the side of a square , equal in area to the circle . Note . - The square root of the area of any figure whatever , is the side ...
Page 297
... side ) is equal to the sum of the squares of the two legs : " or the square root of the hypothe nuse is equal to the square root of the sum of the squares of the two legs . Pythagoras . If this were not so , carpenters could not square ...
... side ) is equal to the sum of the squares of the two legs : " or the square root of the hypothe nuse is equal to the square root of the sum of the squares of the two legs . Pythagoras . If this were not so , carpenters could not square ...
Page 300
... side of a cubic box containing the same quantity ? 2150,425 12,907 . Note . The solid contents of similar figures ... side of a cube being given , to find the side of a cube which shall be double , triple , & c . in quantity to the given ...
... side of a cubic box containing the same quantity ? 2150,425 12,907 . Note . The solid contents of similar figures ... side of a cube being given , to find the side of a cube which shall be double , triple , & c . in quantity to the given ...
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The Improved Arithmetic: Newly Arranged and Clearly Illustrated, Both ... Daniel Parker No preview available - 2016 |
Common terms and phrases
amount annex annuity annum answer arithmetical bushels candareens ciphers circumference common difference Compound Interest Compound Subtraction cost cube root cubic currency decimal denominator diameter Diff discount divide dividend divisor equal Examples farthings Federal Money feet Find the value gain or loss gallons Geometrical series given number given sum half hogsheads hundredweight improper fraction inches last term learner least common multiple left-hand length less livres mainder measure millions mills Minuend mixed number moidore months multiplicand multiply New-England New-York Note.-The number of shillings number of terms payment pence pound present worth principal Proof proportion Questions relative quotient rate per cent ratio reals vellon Reduce remainder Required the interest right-hand figure Rule of Three rule to find Rule.-Multiply separatrix significant figures sold solid square root stivers subtrahend tabular number tare third term tion Trett Vulgar Fractions weight whole numbers yards
Popular passages
Page 116 - ... 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 284 - RULE. 1. Separate the given number into periods of three figures each, by putting a point over the unit figure, and every third figure from the place of units to the left, and if there be de- . cimals, to the right.
Page 241 - ... 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 241 - But if there be several payments made within the said time, find the amount of the several payments, from the time they were paid, to the time of settlement, and deduct their amount from the amount or the nrincina.
Page 239 - 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 263 - IS the method of finding what quantity of e'ach of the ingredients, 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. CASE. I.
Page 87 - Multiply all the numerators together for a new numerator, and all the denominators for a new denominator; and they will form the fraction required. . EXAMPLES. 1. Reduce £ of | of £ of -fa to a simple fraction.
Page 51 - DIVISION teaches to find how many times one whole number is contained in another ; and also what remains ; and is a concise way of performing several subtractions. Four principal parts are to be noticed in Division : 1. The Dividend, or number given to be divided. 2. The Divisor, or number given to divide by. 3. The Quotient, or answer to the question, which shows how many times the divisor is contained in the dividend. 4. The Remainder, which is always less than the divisor, and of the same name...
Page 290 - ... terms, RULE. Multiply the sum of the extremes by the number of terms, and half the product will be the sum of the terms. EXAMPLES FOR PRACTICE. 2. If the extremes be 5 and 605, and the number of terms 151, what is the sum of the series?