 If the product of two quantities be equal to the product of two others, two of them may be made the extremes and the other two the means of a proportion.  The Elements of Algebra - Page 173by Thomas Grainger Hall - 1840Full view - About this book
 | James Bates Thomson, Elihu Thayer Quimby - Algebra - 1880 - 360 pages
...ad = be, .: a = -=-, and d — — . da , ad , ad Also 6 = — , and <!=-;-. с Ь THEOREM II. 366. If the product of two quantities be equal to the product of two other quantities, the factors of either product may be made the means with the factors of the other... | |
 | George Albert Wentworth - 1881 - 266 pages
...the product of the means). Whence, extracting the square root, b = V/ac. QED PROPOSITION III. 261. If the product of two quantities be equal to the product of two others, either two may be made the extremes of a proportion in which the other two are made the... | |
 | Isaac Sharpless - Geometry - 1882 - 286 pages
...above m and n may represent any numbers integral, fractional, or mixed. Proposition 2. Theorem. — If the product of two quantities be equal to the product of two others, these four quantities may form a proportion, one set being taken for the extremes and the... | |
 | Alfred Alsop - Alcoholism - 1883 - 268 pages
...he dmu's on his slate. Milburd inquires, ' What's that ?' but is hushed down.] " As x : 2 : : b : 5. "The product of the extremes equals the product of the Means, and as long as this sum in proportion is observed, Ruin is impossible. "V The key here is that b =£1,000,000.... | |
 | Webster Wells - Algebra - 1885 - 370 pages
...mean is equal to the product of the extremes divided by the other mean. 296. (Converse of Art. 293.) If the product of two quantities be equal to the product of two others, one pair mail be made the extremes, and the other pair the means, of a proportion. Let... | |
 | Webster Wells - 1885 - 368 pages
...mean is equal to the product of the extremes divided by the other mean. 296. (Converse of Art. 293.) If the product of two quantities be equal to the product of two others, one pair may be made the extremes, and the other pair the means, of a proportion. Let ad... | |
 | Webster Wells - Algebra - 1885 - 382 pages
...mean is equal to the product of the extremes divided by the other mean. 296. (Converse of Art. 293.) If the product of two quantities be equal to the product of two others, one pair may be made the extremes, and the other pair the means, of a proportion. » Let... | |
 | George Chrystal - Algebra - 1886 - 578 pages
...(3) in the same way as (2) from (1). § 5.] The product of tJie extremes of a proportion is equal to the product of the means ; and, conversely, if the...product of two quantities be equal to the product of two others, the four form a proportion, the extremes being the constituents of one of the products,... | |
 | George Chrystal - Algebra - 1886 - 572 pages
...(3) in the same way as (2) from (1). § 5.] The product of Hie extremes of a proportion is equal to the product of the means ; and, conversely, if the product of two quantities be equal to the product nf two others, the four form a proportion, tJie extremes being the constituents of one of the products,... | |
 | Edward Albert Bowser - Algebra - 1888 - 868 pages
...the mean proportional between two given quantities is equal to the square root of their product. (2) Conversely, If the product of two quantities be equal to the product of two others, two of them may be made the extremes, and the other two the means, of a proportion. For... | |
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