 | Arthur Schultze, Frank Louis Sevenoak - 1913 - 486 σελίδες
...the third proportional to (a) 9 and 12, (6) 14 and 21, (c) 1 and a. PROPOSITION II. THEOREM 279. 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. Given mn =pq. To prove... | |
 | Webster Wells, Walter Wilson Hart - 1913 - 360 σελίδες
...by clearing of fractions. bd EXAMPLB. Since f = f , 2 • 9 should equal 3 • 6. Does it ? 190. If the product of two numbers is equal to the product of two other numbers, one pair may be made the means and the other the extremes of a proportion. If mn = xn, then — = ".... | |
 | Frederick Howland Somerville - 1913 - 458 σελίδες
...product. 374. Given ad - bc. Then a:bTO-c:d. Proof : ad = be. Dividing by bd, 5 = 5. bd That is : If the product of two numbers is equal- to the product of two other numbers, one pair may be made the extremes, and the other pair the means, of a proportion. In like manner we... | |
 | Arthur Schultze, Frank Louis Sevenoak - 1913 - 328 σελίδες
...the third proportional to (a) 9 and 12, (6) 14 and 21, (c) 1 and a. PROPOSITION II. THEOREM 279. If the product of two numbers is equal to the product of two oiIier numbers, etther two may be made the means, and the other two the extremes, of a proportion.... | |
 | Webster Wells, Walter Wilson Hart - 1915 - 330 σελίδες
...proportion and y from the second. EXAMPLE. — If - = - and - = -, then x should equal y. 3 xoy 252. If the product of two numbers is equal to the product of two other numbers, one pair may be made the means of a proportion having the other pair as the extremes. T. ,, in y If... | |
 | Webster Wells, Walter Wilson Hart - 1916 - 504 σελίδες
...proportion and y from the second. EXAMPLE. — If - = - and - = -, then x should equal y. 3 x 3 y 252. If the product of two numbers is equal to the product of two other numbers, one pair may be made the -means of a proportion having the other pair as the extremes. If mn=a xn Proof.... | |
 | Jacob William Albert Young, Lambert Lincoln Jackson - 1916 - 328 σελίδες
...2 x and compare their <e~2' ' y — 3~y' values. 12. Show that if the product of two numbers equals the product of two other numbers, either 'pair may be made the means and the other the extremes of a proportion. Write each of the following as proportions in two different... | |
 | Elmer Adelbert Lyman, Albertus Darnell - 1917 - 520 σελίδες
...84 3 Can a proportion be made from the numbers involved in the equation 4 • 10 = 5 • 8 ? III. If the product of two numbers is equal to the product of two other numbers, the factors of either product may be made the means and the factors of the other product the extremes... | |
 | George Hervey Hallett, Robert Franklin Anderson - 1917 - 432 σελίδες
...prove that either extreme is equal to the product of the means divided by the other extreme. 20. If the product of two numbers is equal to the product of two other numbers, prove that a proportion may be formed by taking one pair of numbers for the extremes and the other... | |
 | Arthur Schultze, Frank Louis Sevenoak - 1918 - 486 σελίδες
...the third proportional to (a) 9 and 12, (6) 14 and 21, (c) 1 and a. PROPOSITION II. THEOREM 279. 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. Given mn —pq. To prove... | |
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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. 
