 | Andrew Wheeler Phillips, Irving Fisher - Geometry - 1897 - 374 pages
...both sides by bd, the product of the denominators of (1). We have ad—be. (2) Ax. 7 238, THEOREM. Conversely, if the product of two numbers is equal to the product of two others, either pair may be made the extremes and the other pair the means of a proportion. GIVEN ad=bc. (2) TO PROVE... | |
 | Andrew Wheeler Phillips, Irving Fisher - Geometry - 1897 - 376 pages
...both sides by bd, the product of the denominators of (1). We have ad= be. (2) Ax. 7 QED 238. THEOREM. Conversely, if the product of two numbers is equal to the product of two others, either pair may be made the extremes and the other pair the means of a proportion. GIVEN ad=bc. (2) ac To... | |
 | G. A. Wentworth - 1898 - 422 pages
...represent them when the quantities are expressed in a common unit. 838. If the product of two quantities is equal to the product of two others, either two...made the extremes of a proportion and the other two the means. For, if ad = bc, then, divide by bd. т~, - г~;« bd bd а с 01 6 = 5' .'. a :b = с :... | |
 | George Albert Wentworth - 1898 - 424 pages
...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...made the extremes of a proportion and the other two the means. For, if ad = be, then, divide by bd. — = ;~; , bd bd ac or - = - • .-. a : b = с :... | |
 | 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 - = -• .'. a : b = e : d.... | |
 | George Albert Wentworth - Algebra - 1898 - 428 pages
...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'... | |
 | George Albert Wentworth - Geometry, Modern - 1899 - 272 pages
...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 ad=bc. To prove that a:b = c:d. Divide... | |
 | George Albert Wentworth - Geometry - 1899 - 498 pages
...extracting the square root, & = 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 ad = be. To prove that a:b = c:d. Divide... | |
 | George Edward Atwood - 1900 - 276 pages
...divided by the other mean. If a:b — c:d ad = bc bo * bc , ad ad a = — a = — b = — c = — 428. If the product of two numbers is equal to the product of two other numbers, the factors of either product may be made the extremes, and the factors of the other... | |
 | Arthur Schultze - 1901 - 392 pages
...of a; if 3 : z = 4 : 8. Ex. 518. Find the value of x if a : m = x : n. PROPOSITION II. THEOREM 265. If the product of two numbers is equal to the product of two other numbers, either two may be made the means, and the other two the extremes of a proportion. Hyp.... | |
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If the product of two numbers is equal to the product of two others, either two may be made the extremes of a proportion and the other two the means. 
