 | Webster Wells - 1897 - 422 pagina’s
...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... | |
 | Fletcher Durell, Edward Rutledge Robbins - 1897 - 482 pagina’s
...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.... | |
 | George Albert Wentworth - 1898 - 428 pagina’s
...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 th6 extremes of a proportion and the other two the means. For, if ad = be, ,... | |
 | Webster Wells - 1898 - 250 pagina’s
...Vac. Proof. From (1), b 2 = ac. (§ 232) /. b =Vac. PROP. II. THEOREM. 234. (Converse of Prop. I.) 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. Given ad = bc. (1)... | |
 | George Albert Wentworth - 1898 - 440 pagina’s
...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,... | |
 | James Howard Gore - 1898 - 232 pagina’s
...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 - 434 pagina’s
...the two numbers that represent them when the quantities are expressed in a common unit. 338. If tbс 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,... | |
 | Webster Wells - 1899 - 424 pagina’s
...Proof. From (1), b' = ac. • (§ 232) .-. b = Vac. PROP. II. THEOREM. 234. (Converse of Prop. I.) 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. Given ad = be. (1)... | |
 | George Albert Wentworth - 1899 - 272 pagina’s
...Then b2 = ae. § 327 Whence, extracting the square root, b = Vac. QED PROPOSITION III. THEOREM. 329. If the product of two quantities is equal to the product of two others, either two may be made the extremes of the proportion in which the other two are made the means. Let... | |
 | William James Milne - 1899 - 398 pagina’s
...proportion the product of whose extremes or means is 60 ; 72; 84; 80; 64; 144; x2y3, xyz; xyzv. Theorem. If the product of two quantities is equal to the product of two others, either two may be made the extremes of a proportion of which the other two are the means. Data : ad... | |
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If the product of two quantities is equal to the product of two others, the... 
