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" RULE. 1 . Take any number and perform the same operations with it as are described to be performed in the question. 2. Then say as the sum of the errors is to the given sum, so is the supposed number to the true one required.* , PROOF. Add the several... "
A New and Concise System of Arithmetick: Containing Vulgar, Decimal, and ... - Page 358
by Beriah Stevens - 1822 - 423 pages
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Mercantile Arith

Michael Walsh - 1831 - 348 pages
...working with it as the true one, you find the real number required, by the following RULE. As the total of the errors is to the given sum, so is the supposed...one required. PROOF. Add the several parts of the result together, and if it agrees with the given sum it is right. EXAMPLES. 1 . A schoolmaster, being...
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The Tutor's Assistant: Being a Compendium of Practical Arithmetic, for the ...

Francis Walkingame - 1833 - 204 pages
...find the real number required^ RULE. As the result from the supposition, is to the true result • so is the supposed number, to the true one required. PRO'OF. Add the several parts together, according to the conditions of the question. ( 1 ) A schoolmaster being asked how many scholars...
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The Mercantile Arithmetic: Adapted to the Commerece of the United States, in ...

Michael Walsh - Arithmetic - 1838 - 346 pages
...working with it as the true one, you find the real number required, by the following RULE. As the total of the errors is to the given sum, so is the supposed...one required. PROOF. Add the several parts of the result together, and if it agrees with the given sum it is right. EXAMPLES. 1. A schoolmaster, being...
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Complete Schoolmaster's Assistant: Being a Plain Comprehensive System of ...

Nathan Daboll - 1839 - 220 pages
...operations with it as are described to be performed in the question. 2. Then as the result of the operation is to the given sum, so is the supposed number to the true one required. EXAMPLES. I. A schoolmaster being asked how many scholars he had, replied : If I had as many more as...
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The United States Calculator: Or, Arithmetic Simplified, in Dollars and ...

John M'Nevin - Arithmetic - 1841 - 300 pages
...using supposed' numbers according to- the conditions of the question, the answer is obtained. RULE. — As the sum of the errors is to the given sum,, so...required. PROOF. — Add the several parts of the result together, and if it agrees with the given sum it is right. 1 . A person, after spending £ and...
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Welch's Improved American Arithmetic: Adapted to the Currency of the United ...

Arithmetic - 1841 - 200 pages
...and perform the same operations with it as are described to be performed in the question. Then (s) say as the sum of the errors is to the given sum,...so is the supposed number to the true one required. Proo/.^(6) Add the several parts of the sum together, and if it agree with the sum, it ia right. Questions....
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United States Calculator: Or, Arithmetic Simplified

John M'Nevin - Arithmetic - 1841 - 300 pages
...using supposed numbers according to the conditions of the question, the answer is obtained. RULE.—As the sum of the errors is to the given sum, so is the supposed number to the true one required. PROOF.—Add the several parts of the result together, and if it agrees with the given sum it is right....
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Daboll's Complete Schoolmaster's Assistant Being a Plain Comprehensive ...

Nathan Daboll - Arithmetic - 1843 - 254 pages
...operations v?ith it as are described to be performed in the question. 2. Then as the result of the operation is to the given sum, so is the supposed number to the true one required. EXAMPLES. 1. A schoolmaster being asked how many scholars he had, replied : If I had as many more as...
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Elementary and practical Arithmetic on the inductive system, by analysis and ...

Charles WATERHOUSE - Arithmetic - 1844 - 228 pages
...number, performing with it the same operations as are described to be performed by the question. Then say, as the sum of the errors is to the given sum, so is the supposed •umber to the answer. Demonstration. — The rule is founded on proportion ; hence the reason is...
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Engineers' and Mechanics' Pocket-book ...

Charles Haynes Haswell - Engineering - 1844 - 298 pages
...— Take any number, and proceed with it as though it were the correct one ; then say, as the result is to the given sum, so is the supposed number to the number required. EXAMPLE. — A commander of a vessel, after sending away in boats £, 3, and 4 of...
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