 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 Bryce - 1846 - 352 pages
...quantities be proportionals, the product of the means is equal to the product of the extremes ; and if the product of two quantities be equal to the product of two others, the ibur quantities will form a proportion. и С Let the proportion be a: b : : с : d;... | |
 | Stephen Chase - Geometry - 1847 - 28 pages
...l'espace terminé per cette ligne courbe."— Élémentsde Oéométrie, II»« Éd., p 33. osition. " If the product of two quantities be equal to the product of two other quantities, two of them " (any two, of course) " may be made the extremes, and the other... | |
 | Alpheus Crosby - Geometry - 1847 - 190 pages
...eat 1'espace termini par cettelignecourbe."— £l£mentsde Gtomltrie, ll»e Ed., p. 33. osition. " If the product of two quantities be equal to the product of two other quantities, two of them " (any two, of course) " may be made the extremes, and the other... | |
 | Charles Davies - Trigonometry - 1849 - 372 pages
...4.), the product of the extremes will be equal to the square of the mean. PROPOSITION II. THEOREM. If the product of two quantities be equal to the product of two other quantities, two of them will be the extremes and the other two the means of a proportion.... | |
 | James Elliot - 1850 - 116 pages
...336, 420, and 525, proportionals ? 2. Is 36aV a mean proportional between 54акс3 and THEOREM Ш. If the product of two quantities be equal to the product of two others, the four are proportionals, making the factors of the one product the means, and the factors... | |
 | Isaac Todhunter - Algebra - 1858 - 530 pages
...three terms in a proportion are given, the fourth may be determined from the equation ad = be. 389. If the product of two quantities be equal to the product of two others, the four are proportionals; the terms of either product being taken for the means, and... | |
 | Robert Fowler - 1861 - 426 pages
...d, Then shall ad = Ъс. For since a : Ь : : с : d. ai And rx bd = - x bei, oa Or, ad = Ъс. ii. If the product of two quantities be equal to the product of two others, the four quantities shall be proportionals. Or if ad = be, Then о : Ъ : : с : d ; For... | |
 | Benjamin Greenleaf - 1863 - 338 pages
...fourth may be found. Let a : 6 : : с : x. Then, ax = be ; be whence, x = — • • THEOREM II. 316. 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. Let ad... | |
 | Benjamin Greenleaf - Algebra - 1864 - 420 pages
...given, the fourth may be found. Thus, if a : b : : c : x Then ax •=. be Whence, x = — . a 312t 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. ft £*... | |
 | Horatio Nelson Robinson - Algebra - 1866 - 328 pages
...Either extreme is equal to the product of the means divided by the other extreme. (2). PROPOSITION П. . Conversely. If the product of two quantities be 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.... | |
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