 Conversely, if the product of two quantities is equal to the product of two other quantities, the first two may be made the extremes, and the other two the means of a proportion.  The Elements of Plane Geometry - Side 79av Charles Austin Hobbs - 1899 - 240 siderUten tilgangsbegrensning - Om denne boken
 | Elias Loomis - 1858 - 256 sider
...by the proposition, AXC = BXB, which is equal to B1. PROPOSITION n. THEOREM (Converse of Prop. /.). If the product of two quantities is equal to the product of twc other quantities, the first two may be made the extremes, and the other two the means of a proportion.... | |
 | Charles Davies - 1859 - 324 sider
...other, that A x D = В x (7, we shall also have, -j = -~ ; А ъ and hence, A : В : : С : D. That is : If the product of two quantities is equal to the product of two other quantities, two of them may be made the extremes, and the other two the means of a proportion. 195. If four quantities... | |
 | John Fair Stoddard, William Downs Henkle - 1859 - 538 sider
...4 > Are ax, abx, bx in proportion ? 5, Are ax, xVab, bx in proportion ? PROPOSITION (38 4i) 3. When the product of two quantities is equal to the product of two other quantities, the four quantities may be expressed in the form of three different, proportions. DEMONSTRATION. Let od=6c.... | |
 | James B. Dodd - 1859 - 368 sider
...square root of their product. Thus from the equation ax=b2, we find b = (ax)*. THEOREM IV. (153.) When the 'product of two quantities is equal to the product of two other quantities, either pair of factors may be made the extremes, and the other the means, of a Proportion. Let ab=xy;... | |
 | Charles Davies - 1861 - 322 sider
...Thus, if we have the proportion 3 : 6 : r 6 : la, we shall also have 6 X 6 = 62 = 3 X 12 = 30. 155. If the product of two quantities is equal to the product of 170 other quantities, may the four be placed in a proportion ? He wt 157. If we have 7? 7) A : B :... | |
 | Thomas Sherwin - 1862 - 252 sider
...equation ad—be. If we divide both members by 6 and d, we have — = —, or a : b = c : d. Therefore, bd If the product of two quantities is equal to the product of two other quantities, the two factors of one product may be made the means, and the two factors of the other product, the extremes... | |
 | Adrien Marie Legendre - 1863 - 464 sider
...this case, the square of the mean is equal to the product of the extremes. PROPOSITION II. THEOREM. jy the product of two quantities is equal to the product of two other quantities, two of them may be made the means, and the other two the extremes of a proportion. If we have, AD =... | |
 | Horatio Nelson Robinson - 1863 - 432 sider
...to the product of the means divided by the other extreme. (2) PROPOSITION II. — Conversely : — If the product of two quantities is equal to the product of two others, then two of them may be taken • for the means, and the other tico for the extremes of a proportion.... | |
 | Horatio Nelson Robinson - 1864 - 444 sider
...to tJte product of the means divided by the other extreme. (2) PROPOSITION II. — Conversely : — If the product of two quantities is equal to the product of two others, then two of them may be taken for the means, and the other two for the extremes of a proportion.... | |
 | Eli Todd Tappan - 1864 - 288 sider
...mean proportional of two quantities is the square root of their product. * 18. Proposition — When the product of two quantities is equal to the product of two others, either two may be the extremes and the other two the means of a proportion. Let aXd = bXc represent... | |
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