 | William Frothingham Bradbury, Grenville C. Emery - Algebra - 1889 - 428 pages
...: d а с that is, -j = -. о а Clearing of fractions, ad = bc 311. If the product of two numbers is equal to the product of two others, the factors of either product may be made tinft extremes, and tlic factors of the other the means, of a .proportion. Let ad = b с Dividing by... | |
 | Charles Davies - Algebra - 1889 - 330 pages
...Conversely, if we divide both members of ( 2 ) by ca, we shall have, - . = - ; or, a : b : : c : d. Hence, ac If the product of two quantities is equal to the product, of two other quantities, the first two may be made the means, and the second two the extremes, of a proportion.... | |
 | Webster Wells - Algebra - 1890 - 560 pages
...mean is equal to the product of the extremes divided by the other mean. 384. (Converse of Art. 381.) If the product of two quantities is 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 = be. Dividing... | |
 | Seth Thayer Stewart - Geometry, Modern - 1891 - 422 pages
...are in proportion, they are in proportion by division. SECTION II.— EQUAL PRODUCTS. 297. PROP. VI. If the product of two quantities is equal to the product of two other quantities, the two quantities that form either product may be made the extremes, and the other... | |
 | Seth Thayer Stewart - Geometry - 1891 - 428 pages
...the antecedent or the consequent. SECTION II.— EQUAL PRODUCTS. PROPOSITION VI. 31§. Theorem : // the product of two quantities is equal to the product of two other quantities, the two quantities that form either product may be made the extremes, and the other... | |
 | Webster Wells - Geometry - 1894 - 400 pages
...from (1), &2 = ac. (§231.) Whence, b = -Vac. PROPOSITION II. THEOREM. 233. (Converse of Prop. I.) Jf the product of two quantities is 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 = be. To prove... | |
 | George D. Pettee - Geometry, Modern - 1896 - 272 pages
...equations, such as squaring the equation, are applicable to proportions. PROPOSITION II 188. Theorem. //' the product of two quantities is equal to the product...be made the extremes, and the factors of the other product the means of a proportion. ad = be - = - [divide by bd ~] bd I ' or — = — [divide by what... | |
 | George Albert Wentworth - Mathematics - 1896 - 68 pages
...296. A mean proportional between two quantities is equal to the square root of their product. 297. If the product of two quantities is 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 means. 298.... | |
 | Webster Wells - Algebra - 1897 - 522 pages
...mean is equal to the product of the extremes divided by the other mean. 309. (Converse of § 306.) If the product of two quantities is 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 = ос. Dividing... | |
 | Webster Wells - Algebra - 1897 - 386 pages
...mean is equal to the product of the extremes divided by the other mean. 309. (Converse of § 306.) If the product of two quantities is 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 = bс. Dividing... | |
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If the product of two quantities is equal to the product of two others, the... 
