 | Herbert Ellsworth Slaught, Nels Johann Lennes - 1918 - 360 σελίδες
...proportion are raised to the same power, the results form a proportion. ij. ED 313. COROLLARY 1. If the product of two numbers is equal to the product of two other numbers, then the first two are the extremes of a proportion of which the other two are the means. Proof : If... | |
 | Herbert Ellsworth Slaught - 1918 - 344 σελίδες
...proportion are raised to the same power, the results form a proportion. QED • 313. COROLLARY 1. If the product of two numbers is equal to the product of two other numbers, then the first two are the extremes of a proportion of which the other two are the means. Proof : If... | |
 | Raleigh Schorling, William David Reeve - 1919 - 522 σελίδες
...(c). ba 370. Theorem. The preceding discussion illustrates the use of the theorem which says that if the product of two numbers is equal to the product...two other numbers, either pair may be made the means and the other pair the extremes of a proportion. EXERCISES 1. Start with the equation ad = be and obtain... | |
 | Walter Burton Ford, Charles Ammerman - 1920 - 334 σελίδες
...c : d, show that no number x can be found such that 102. Second Fundamental Theorem. THEOREM B. // the product of two numbers is equal to the product...either pair may be made the means of a proportion in which the other two are taken as the extremes. PROOF. Suppose mn = xy. Dividing both members by... | |
 | Arthur Schultze, Frank Louis Sevenoak - 1913 - 484 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 6e made the means, and the other two the extremes, of a proportion. Given mn —pq. To prove... | |
 | Walter Burton Ford, Charles Ammermann - 1923 - 406 σελίδες
...1. // the two antecedents of a proportion are equal, the consequents are also equal. Theorem B. If the product of two numbers is equal to the product of two other numbers, cither pair may be made the means of a proportion in which the other two arc taken as the extremes.... | |
 | Arthur Schultze, Frank Louis Sevenoak - 1925 - 504 σελίδες
...Find the mean proportional to (a) 9 and 4, (6) 30 and 3, (c) 1 and 16. PROPOSITION II. THEOREM 277. // the product of two numbers is equal to the product of two other numbers, either pair of numbers may be made the means, and the other pair the extremes, of a proportion. Given ad = be.... | |
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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. 
