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" ... for the second term, and the greater for the first ; and in either case multiply the second and third terms together, and divide the product by the first for the answer, which will always be of the same denomination as the third term. "
A Treatise on Plane and Spherical Trigonometry: With Their Most Useful ... - Pągina xxiv
per John Bonnycastle - 1806 - 419 pągines
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Practical Arithmetic: In Four Books ... Extracted from the Large and Entire ...

John Gough - 1813 - 348 pągines
...fraction must be of th« same name or kind, and reduced to fractions of the same name or denominator. Multiply the second and third terms together and divide the product by the first; the quotient is the fourth term required ; due regard being had to the rules laid down for multiplying,...
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Easy Introduction to Mathematics, Volum 1

Charles Butler - 1814
...in either. Likewise the second term must be reduced to the lowest denomination mentioned in it. IV. Multiply the second and third terms together, and divide the product by the first ; the quotient will be the fourth term, or answer, in the same denomination into which the second term...
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The village school improved; or, The new system of education practically ...

John Poole - 1815
...namely, shillings. Q. Having attended to the three given terms, what do you proceed to do next? — A. I multiply the second and third terms together, and divide the product by the first. Q. Is not this last mentioned operation the main rule in the Rule of Three Direct?— A. Yes. Q. In...
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A Complete System of Theoretical and Mercantile Arithmetic: Comprehending a ...

George G. Carey - 1818 - 574 pągines
...means. Hence results the following rule for finding a fourth proportional to three given numbers. BULE. Multiply the second and third terms together, and divide the product by the first, and the quotient is the answer, or fourth proportional. EXAMPLE I. Required a fourth proportional to 3, 8, and 12. 3...
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A Treatise of Practical Arithmetic

Robert Patterson - 1819 - 156 pągines
...we have the equation ad = be, and this divided by a, will give d = —. In words — multiply the a second and third terms together, and divide the product...by the first, and the quotient will be the fourth, or term required. II. IN ALLIGATION ALTERNATE. Let a, A, = the respective rates of two ingredients...
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The Scholar's Arithmetic: Designed for the Use of Schools in the United States

Jacob Willetts - 1822 - 191 pągines
...DIRECT PROPORTION. RULE. Prepare the given terms, if necessary, and state them as ia whole numbers : multiply the second and third terms together, and divide the product by the first : Or, Invert the first term and multiply the three together, as in Multiplication. EXAMPLES. i . If...
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The Complete Practical Arithmetician: Containing Several New and Useful ...

Thomas Keith - 1822 - 332 pągines
...the second into the lowest denomination mentioned. Multiply the second and third numbers together, divide the product by the first, and the quotient will be the answer in the same denomination as the second number.. If there be a remainder after division, it is...
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The American Tutor's Assistant Revised: Or, A Compendious System of ...

Zachariah Jess - 1824 - 210 pągines
...dols. yds. dols. ' A " 5 ' 3 : 6 :: 9 : 1 8 more requiring more I 20 : 40 :: 3 : 10 less requiring less RULE. Multiply the second and third terms together, and divide the product by the first ; the quotient will be the fourth term, or answer ; in the same name with the second. PROOF. Invert...
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The Teachers' Assistant: Or a System of Practical Arithmetic

Stephen Pike - 1824 - 198 pągines
...THREE, IN VULGAR FRACTIONS. Prepare the given terms, if necessary, and state them as in whole numbers ; multiply the second and third terms together, and divide the product by the first. Or, Invert the dividing term, and multiply the three terms together, as in Multiplication. EXAMPLES....
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The New Federal Calculator, Or, Scholar's Assistant: Containing the Most ...

Thomas Tucker Smiley - 1825 - 180 pągines
...second terms to the same denomination, and to the lowest denomination mentioned in either oi them. 3. Multiply the second and third terms together, and divide the product by the first term; the result will be-tbe fourth term OF answer in the same denomination to which the third term...
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