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" When any number of terms is continued in Geometrical Progression, the product of the two extremes will be equal to... "
The Complete Practical Arithmetician: Containing Several New and Useful ... - Page 234
by Thomas Keith - 1822 - 332 pages
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Arithmetic in Epitome: Or, a Compendium of All the Rules, Both Vulgar and ...

William Webster - Arithmetic - 1767 - 262 pages
...in any rank of numbers in Geometrical Progreffien, confifting of four, or any even number of terms, the product of the two extremes will be equal to the product of the two middle numbers, or of any two means equally diftant from the faid extremes. 2, 4, 8, 1 6, 32,...
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A Compendium of Practical Arithmetick

John Thomas Hope - Arithmetic - 1790 - 430 pages
...= 45 x IJ each being 675, Hence if ever fo many numbers are in geometrical prpgrefTion, the produft of the two extremes will be equal to the product of any two means, that are didanc from the extremes, As in thefe 3, 9, 27, St, 243, 729, Here 3 x 729 = 9 x 24.1 =27...
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A New System of Mercantile Arithmetic: Adapted to the Commerce of the United ...

Michael Walsh - Arithmetic - 1807 - 290 pages
...multiplier 2, and 10, 8, 4-, 2, decrease by the divisor 2. NOTE. When any number of terms is continued in Geometrical Progression, the product of the two extremes will be equal to any two means, equally distant from the extremes : As 2, 4, 8, 16', 32, 64, where 6'4 x 2=4 x 32 =...
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The Schoolmaster's Assistant: Being a Compendium of Arithmetic Both ...

Thomas Dilworth - Arithmetic - 1818 - 222 pages
...multiplier 2 — and 24, 12, 6, 3, decrease by the divisor 2, Note. 1. If any number of terms be continued in Geometrical Progression, the product of the two...extremes will be equal to the product of any two means equally distant trom the extremes, as in 3, 6, 12, 24 ; where 3X24, are=tiX 12=72 ; and so of any larger...
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Staniford's Practical Arithmetic ...: Adapted Principally to Federal Currency

Daniel Staniford - Arithmetic - 1818 - 332 pages
...three of which being known, the others may be found. NOTE. 1. If any three numbers are in Geomctrical Progression, the product of the two extremes will be equal to the square of the mean or middle number, thus, 4 . 8 . 16 ; 4x16=64=8x8=64. 2. If four numbers are in Geomctrical...
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The New Practical Builder and Workman's Companion, Containing a Full Display ...

Peter Nicholson - Architecture - 1823 - 210 pages
...contains the like part of the fourth. THEOREM 39. 113. If four quantities, a, b, c, d, are proportionals, the product of the two extremes will be equal to the product of the two means. Let the first, a, contain the wth part of the second b, m times ; then, by the definition,...
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The Schoolmaster's Assistant: Being a Compendium of Arithmetic, Both ...

Thomas Dilworth - Arithmetic - 1825 - 214 pages
...24, 12, 6, 3, deerease by the divisor 2. Note 1. If any number of terms be continued in Gcomctrieal Progression, the product of the two extremes will be equal to the product of any two means equally distant from the extremes, as in 3, 6, 12,24; where 3x24, are=6x 12=72, and so of any larger...
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The Schoolmaster's Assistant: Being a Compendium of Arithmetic, Both ...

Thomas Dilworth - Arithmetic - 1825 - 218 pages
...the divisor 2. Note ). If any number of terms he continued in Geometrical Progression, the product af the two extremes will be equal to the product of any two means equally distant from the extremes, as iu 3, 6,' 12, 24; where 3x24, are=6x 12=72, and so of any larger...
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The Improved Arithmetic: Newly Arranged and Clearly Illustrated, Both ...

Daniel Parker - Arithmetic - 1828 - 358 pages
...multiplier 2 ; also, 81, 27, 9, 3, 1, decrease by the common divisor 3. When any number of terms are in Geometrical Progression, the product of the two extremes will be equal to that of any two means equally dist ni from the extremes ; and if the terms be odd, the middle term...
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Connolly's Arithmetic: Or, The Ohio Accomptant: Being a Plain Practical ...

James L. Connolly (mathematician.) - Arithmetic - 1829 - 266 pages
...the multiplier £; and 27. 9, 3, 1, decreased by the divisor 3. When any number of terms is continued in geometrical progression, the product of the two extremes will be equal to any two means, equally distant from the extremes, as 2, 4, 8, 16, 32, 64, where 64x2=128, and 32x4=128,...
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