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" If the product of two quantities is equal to the product of two others, the... "
An Elementary Geometry - Page 27
by William Frothingham Bradbury - 1872 - 110 pages
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Essentials of Algebra

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...
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A School Algebra Complete

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....
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New School Algebra

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, ,...
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Essentials of Geometry (plane).

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)...
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New School Algebra

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,...
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Plane and Solid Geometry

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...
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New School Algebra

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,...
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The Essentials of Geometry

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)...
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Plane Geometry

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...
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Plane and Solid Geometry

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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