 | Charles Davies - Geometry - 1850 - 238 pages
...related to each other, that the product of two of them is equal to the product of the other two ; then, two of them may be made the means, and the other two the extremes of a proportion. Let A, B, C, and D, have such values that BxC=AxD Divide both sides of the equation by A, and we have... | |
 | Charles Davies - Geometry - 1850 - 218 pages
...related to each other, that the product of two of them is equal to the product of the other two ; then, two of them may be made the means, and the other two the extremes of a proportion. . Let A, B) C9 and J9, have such values that BxC=AxD Divide both sides of the equation by A9 and we... | |
 | Horatio Nelson Robinson - Algebra - 1850 - 256 pages
...term. This is a part of the well known rule of three, in Arithmetic. 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.... | |
 | Charles Davies - Geometry - 1886 - 340 pages
...to each other, that the product of ttfo of them is equal to the product of the other two ; thm t1ro of them may be made the means, and the other two the extremes of a proportion. Let A, B, C, and D, have such values that BxC=AxD Div1de both sides of the equation by A and we havo... | |
 | Joseph Ray - Algebra - 1852 - 408 pages
...2X8, we infer that 2, 3, 5, and 8, are not in proportion. ART. 268. PROPOSITION II. Conversely, If the product of two quantities is equal to the product of two others, two of them may be made the means, and the other two the extremes of a proportion. Let be—... | |
 | Joseph Ray - Algebra - 1848 - 250 pages
...equal to 8X2, we infer that the proportion is false. ART. 345. — PROPOSITION II. — Conversely, If the product of two quantities is equal to the product of two others, two of them may be made the means, and the other two the extremes of a proportion. Let bc=ad.... | |
 | G. Ainsworth - 1854 - 216 pages
...then -=-, and multiplying both sides by ac, —= — , Л С ' <to . • . bc=ad. And conversely, if the product of two quantities is equal to the product of two other quantities, the four are proportional. For (by hyp.) ad=bc, and dividing both sides by bd, we obtain т-=т4 „... | |
 | Charles Davies - Geometry - 1855 - 340 pages
...related to each other, that the product of two of them is equal to the product of the other two ; then, two of them may be made the means, and the other two the extremes of a proportionLet A, B, C, and D, have such values that BxC=AxD Divide both sides of the equation by A,... | |
 | Thomas Sherwin - Algebra - 1855 - 262 pages
...If we divide both members by b and d, we have — = —, or bdi a : b = c : d. Therefore, •• 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... | |
 | 1855 - 424 pages
...in both cases is the same. So, if na : Ь : : x : y, then a : Ь : : x : ny. On the other hand, if the product of two quantities is equal to the product of two others, the four quantities will form a proportion, if they are so arranged that those on one side... | |
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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. 
