 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.  A Text-book of Geometry - Page 132by George Albert Wentworth - 1889 - 242 pagesFull view - About this book
 | Webster Wells - Algebra - 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 - 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...either two may be made the extremes of a proportion and the other two the means. For, if ad = be, then, divide by bd, — = r~,> /n"- bd a- c or - = -•... | |
 | 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...either two may be made the extremes of a proportion and the other two the means. For, if ad = be, then, divide by bd, — = — i н с or - = -r bd .'.... | |
 | 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, , . . , ' . . ad bc then'... | |
 | 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)... | |
 | 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 - 1898 - 436 pages
...quantities are expressed in a common unit. 338. If the product of two quantities is equal to the prodvet of two others, either two may be made the extremes of a proportion and the other two the means. For. if ad = be, then, divide by bd, — = — > bd bd ac or - = -•... | |
 | 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...either two may be made the extremes of a proportion of which the other two are the means. Data : ad = bc. To prove a : 6 = c : d. Proof. Data, ad = bc.... | |
 | William James Milne - Geometry - 1899 - 396 pages
...proportion the product of whose extremes or means is 60 ; 72; 84; 80; 64; 144; x2y2, xyz; xyzc. Theorem. 1f the product, of two quantities is equal to the product...either two may be made the extremes of a proportion of which tlie other two are the means. Data : ad = be. To prove a:b = c:d. Proof. Data, ad = be. Dividing... | |
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