| Webster Wells - 1897 - 422 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... | |
| Fletcher Durell, Edward Rutledge Robbins - Algebra - 1897 - 482 pages
...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 - Algebra - 1898 - 428 pages
...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 - Geometry - 1898 - 250 pages
...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 - Algebra - 1898 - 440 pages
...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 - Geometry - 1898 - 232 pages
...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 - Algebra - 1898 - 434 pages
...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 - Geometry - 1899 - 424 pages
...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 - Geometry, Modern - 1899 - 272 pages
...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 - Geometry - 1899 - 398 pages
...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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