 | George W. Lilley - 1892 - 420 σελίδες
...the means. Let ad = b c. (l С Divide by bd, 6 = 5 ' By definition, a : b :: с : d. Hence, II. 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 tJie other two the means. A Mean Proportional... | |
 | James Morford Taylor - 1893 - 362 σελίδες
...three terms of a proportion are ж2, 2 a, and 5 b, the fourth = 2 а x 5 b -f- x2. 216. Conversely, ff the product of two numbers is equal to the product of two other numbers, two of them may be made the extremes and the other two the means of a proportion. For, let ad = be.... | |
 | William Chauvenet - 1893 - 340 σελίδες
...proportional (II., 36) between two numbers is equal to the square root of their product. 6. Conversely, if the product of two numbers is equal to the product of two others, either two may be made the extremes, and the other two the means, of a proportion. For, if... | |
 | George Clinton Shutts - 1894 - 412 σελίδες
...the parallelogram into two parts which are equal in all respects. PROPOSITION II. 263. Theorem. If the product of two numbers is equal to the product of two other numbers, the factors of one product may be made the means, and the factors of the other product the extremes... | |
 | George P. Lilley - 1894 - 522 σελίδες
...means. Let ad = Ь с. а с Divide by Id, т = ~¡ • By definition, a : Ь ;: с : d. Hence, II. 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. A Mean Proportional... | |
 | John Macnie - 1895 - 390 σελίδες
...and if ^BAC:ZABC = 7:3, show that ZAOC: Z ABC = 7:2. PROPOSITION III. THEOREM. 240. Conversely, 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 its means. Given: ad... | |
 | Emerson Elbridge White - 1896 - 418 σελίδες
...5:я::7:10. 7. G : x : : 24 : x + G. 4. 4 : 6 : : x : 4. 8. 4 : 18 : : x - 3 : x + 4. 524. If tlie product of two numbers is equal to the product of two other numbers, the four numbers are proportionals; and any tim of them may be made the extremes, and the other two... | |
 | Andrew Wheeler Phillips, Irving Fisher - 1897 - 374 σελίδες
...the product of the denominators of (i). 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.... | |
 | Andrew Wheeler Phillips, Irving Fisher - 1897 - 376 σελίδες
...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.... | |
 | George Edward Atwood - 1900 - 276 σελίδες
...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 product the means,... | |
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If the product of two numbers is equal to the product of two other numbers, either pair may be made the means, and the other pair the extremes, of a proportion. 
