 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.  Elementary Algebra - Page 318by Frederick Howland Somerville - 1908 - 407 pagesFull view - About this book
 | George Edward Atwood - 1900 - 276 pages
...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,... | |
 | William James Milne - Algebra - 1901 - 462 pages
...of the equation, form in the proportion ? What do the factors of be form ? PRINCIPLE 3. — If the product of two numbers is equal to the product of two other numbers, one pair of them may be made the extremes and the other pair the means of a proportion. If ad = be, then, a:b... | |
 | Arthur Schultze - 1901 - 260 pages
...3 : x = 4 : 8. Ex. 518. Find the value of z if a : TO = 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. mn = pq. To... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1901 - 394 pages
...of x if 3 : z = 4 : 8. Ex. 518. Find the value ofx\fa: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. mn = pq. To... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1901 - 396 pages
...if 3 : x = 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. mn = pq. To... | |
 | Middlesex Alfred Bailey - Algebra - 1902 - 336 pages
...PROPOSITION LXXVII. THEOREM // 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. Let ad = bc To prove that a : b : : с : d ad _ bc M~bd (We divide the original equation by bd.) a_c... | |
 | William James Milne - Algebra - 1902 - 620 pages
...of the equation, form in the proportion ? What do the factors of be form ? PRINCIPLE 3. — If the product of two numbers is equal to the product of two other numbers, one pair of them may be made t/ie extremes and the other pair the means of a proportion. If ad = ftc, then,... | |
 | Louis Parker Jocelyn - Algebra - 1902 - 460 pages
...ILLUSTRATIONS. 1 3 7 1 + 3 + 7 11 7-3-1 3 1 + 7 8 2 6 14 2 + 6 + 14 22 14-6-2 6 2 + 14 16 311. Prop. 8. If the product of two numbers is equal to the product of two other numbers, the former numbers may be made the extremes (or means), and the latter the means (or extremes). Dem.... | |
 | American School (Chicago, Ill.) - Engineering - 1903 - 426 pages
...Clearing of fractions, ad = be П. 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. Let ad = be ТЧ- -j- i / j od ос а с Dividing by bd, т-, = v-, or -,- = -^ bd bd bd Whence, a... | |
 | Webster Wells - Algebra - 1904 - 642 pages
...mean. 493. (Converse of § 491.) If the product of two numbers be equal to the product of two others, one pair may be made the extremes, and the other pair the means, of a proportion. Let cud — be. (1) Dividing by öd, - = -• bd Then, a : b = с : d, or с : d = a : b. In like manner,... | |
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