 | William Webster - 1767 - Liczba stron: 262
...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 - Liczba stron: 430
...= 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... | |
 | 1801 - Liczba stron: 446
...any geometrical series, when it consists of an even number of terms, the product of the extremes is equal to the product of any two means, equally distant from the extremes ; and, when the number of terms is odd, the product of the extremes is equal to the square of the mean... | |
 | Michael Walsh - 1807 - Liczba stron: 290
...: As 2, 4, 8, 10, increase by ihe 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 - Liczba stron: 222
...the 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...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 number of... | |
 | Daniel Staniford - 1818 - Liczba stron: 332
...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... | |
 | Thomas Keith - 1822 - Liczba stron: 354
...usually called the extremes, and the common multiplier or divisor the ruth. Note 1. If three numbers be in geometrical progression, the product of the two extremes will be equal to the square of the mean. Thus, if 3. 9. 27. be in geometrical progression. Then will 3x21=9x9. 2. If four... | |
 | Peter Nicholson - 1823 - Liczba stron: 210
...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 - Liczba stron: 214
...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...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 number of terms. 2. If the number... | |
 | Thomas Dilworth - 1825 - Liczba stron: 218
...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 number of terms. 2. If the number... | |
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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=4X32=8X16=128. 
