 | Seth Thayer Stewart - 1891 - 428 σελίδες
...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 - 1894 - 400 σελίδες
...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 Albert Wentworth - 1896 - 68 σελίδες
...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.... | |
 | George D. Pettee - 1896 - 272 σελίδες
...equations, such as squaring the equation, are applicable to proportions. PROPOSITION II 188. Theorem. //' the product of two quantities is equal to the product of two others, the factors of either product may be made the extremes, and the factors of the other product the means... | |
 | Webster Wells - 1897 - 386 σελίδες
...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... | |
 | Webster Wells - 1897 - 422 σελίδες
...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... | |
 | Webster Wells - 1897 - 522 σελίδες
...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... | |
 | Fletcher Durell, Edward Rutledge Robbins - 1897 - 482 σελίδες
...Then ma :mb = nc: nd, And ma : pb = me : pd. 290. Equal Products made into a Proportion ; that is, if the product of two quantities is equal to the product of two other quantities, either two may be made the means, and the other two the extremes of a proportion.... | |
 | James Howard Gore - 1898 - 232 σελίδες
...quantities is equal to the square root of their product. PROPOSITION II. THEOREM. 201. CONVERSELY, 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... | |
 | George Albert Wentworth - 1898 - 440 σελίδες
...product of the two numbers that represent them when the quantities are expressed in a common unit. 338. If the product of two quantities is equal to the product of two others, either two may be made the extremes of a proportion and the other two the means. For, if ad = be, then,... | |
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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. 
