| William Webster - 1767 - 262 σελίδες
...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,... | |
| John Thomas Hope - 1790 - 430 σελίδες
...= 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... | |
| Michael Walsh - 1807 - 290 σελίδες
...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 =... | |
| Thomas Dilworth - 1818 - 222 σελίδες
...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... | |
| Daniel Staniford - 1818 - 332 σελίδες
...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... | |
| Peter Nicholson - 1823 - 210 σελίδες
...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,... | |
| Thomas Dilworth - 1825 - 214 σελίδες
...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... | |
| Thomas Dilworth - 1825 - 218 σελίδες
...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... | |
| Daniel Parker - 1828 - 358 σελίδες
...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... | |
| James L. Connolly (mathematician.) - 1829 - 266 σελίδες
...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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