 | Webster Wells - 1898 - 250 σελίδες
...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 - 428 σελίδες
...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, ,... | |
 | George Albert Wentworth - 1898 - 434 σελίδες
...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,... | |
 | George Albert Wentworth - 1899 - 496 σελίδες
...V- = ac. § 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... | |
 | George Albert Wentworth - 1899 - 272 σελίδες
...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... | |
 | Webster Wells - 1899 - 424 σελίδες
...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)... | |
 | William James Milne - 1899 - 398 σελίδες
...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... | |
 | Webster Wells - 1899 - 450 σελίδες
...Vac.' Proof. From (1), V = 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)... | |
 | Charles Austin Hobbs - 1899 - 266 σελίδες
...equal to the square root of their product, Extracting the square root of both members, b = Vac. 94. If the product of two quantities is equal to the product of two other quantities, the factors of either product may be made the means, and the other two the extremes,... | |
 | William James Milne - 1899 - 396 σελίδες
...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 of two others, either two may be made the extremes of a proportion of which tlie other two are the means. Data : ad... | |
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Conversely, if the product of two quantities is equal to the product of two other quantities, the first two may be made the extremes, and the other two the means of a proportion. 
