 | Edward Hatton - 1721 - Liczba stron: 528
...continually 3 tioies ; fo will the Anfwer be found <f. 20. 80. 320. 1280. Sthly, If four Numbers be given in Geometrical Proportion, the Product of the two Extremes is equal to that of the two Means : fo in the hift Example 5 times 320 is equal to 20 times 80, viz,. 1600: •'"•... | |
 | Robert Heath - 1760 - Liczba stron: 448
...Radius : Dif. Long, nearly. J Ltt. : Dif. Longitude. J Mid. Lat. : Dif. Longitude. SINCE the Produft of the two Extremes is equal to the Product of the two middle Terms, in any Proportion, therefore fubftituting in the 5th Proportion Difl. run X Sine Courfe... | |
 | John Hill - 1764 - Liczba stron: 424
...by a rank of numbers geometrically proportional. ' And it is to be known, that if three numbers be in geometrical proportion, the product of the two extremes is equal to the fquare of the mean, by the 2oth of the -yth of Euclid. So, on the contrary, if the re&angle contained... | |
 | John Hill - 1765 - Liczba stron: 428
...performed by a rank of numbers geometrically proportional. And it is to be known, that if three numbers be in geometrical proportion, the product of the two extremes is equal to the fquare of the mean, by the 2eth of the 7th of Euclid. So, on the contrary, if the rectangle contained... | |
 | Alexander Ewing - 1799 - Liczba stron: 512
...antecedents-, and the feconct and fourth terms, 32 and 24, are confequents. In four proportional numbers, the product of the two extremes is- equal to the product of -the two means ; End. B. 6 prop. 16. ; thus^ if -1€ s• 3* • 1 12 ! 24, then 16X24=32X 12 = 384. When four quantities-are... | |
 | Jeremiah Paul - 1801 - Liczba stron: 238
...27, 9,3, 1, decrease by the common divisor 3. In any series of numbers, in Geometrical Progression, the product of the two extremes, is equal to the product of any two means, equally distant therefrom ; or of the product of the middle term by itself: Thus, 1,... | |
 | Tiberius Cavallo - 1803 - Liczba stron: 546
...multiplied by AS. Then D is the centre of percuflion. And fmce, when four quantities are proportional, the product of the two extremes is equal to the product of the two means; therefore if the weight of A multiplied by AS, be again multiplied by AD, the product muft be equal... | |
 | Charles Hutton - 1811 - Liczba stron: 406
...similar to those in Arithmetical Proportion, using multiplication for addition, &c, , - 1. When 1. Wh.en four quantities are in geometrical proportion,...extremes is equal to the product of the two means. As in these, 3, 6, 4, 8, where 3x8=6 X 4 = 24; and in these, a, ar, b, br, where ax. br = ar x i, z:... | |
 | Charles Hutton - 1812 - Liczba stron: 620
...and reason of the practice in the Rule of Three. THEOREM 2. In any continued geometrical progression, the product of the two extremes is equal to the product of any two means that are equally distant from them, or equal to the square of the middle term when there... | |
 | John Bonnycastle - 1813 - Liczba stron: 456
...• — • • » 2 ' 6 ' ' 3 • 9' a • b • ' с • d 9. In any continued geometrical series, the product of the two extremes is equal to the product of any two means that are equally distant from them ; or to the square of the mean, when the number of... | |
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If four magnitudes are in proportion, the product of the two extremes is equal to the product of the two means. 
