| Edward Hatton - Algebra - 1721 - 395 pages
...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 - Astronomy - 1760 - 412 pages
...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 - Arithmetic - 1764 - 416 pages
...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 - Arithmetic - 1765 - 416 pages
...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 - Logarithms - 1799 - 328 pages
...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 - Arithmetic - 1801 - 222 pages
...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
...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 - Mathematics - 1811
...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 - Mathematics - 1812
...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 - Algebra - 1813
...• — • • » 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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