 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.  Elementary Algebra - Page 225by Elmer Adelbert Lyman, Albertus Darnell - 1917 - 503 pagesFull view - About this book
 | Emerson Elbridge White - Algebra - 1896 - 418 pages
...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 the... | |
 | Andrew Wheeler Phillips, Irving Fisher - Geometry - 1897 - 374 pages
...bd, 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 - Geometry - 1897 - 376 pages
...bd, 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.... | |
 | Charles Austin Hobbs - Geometry, Plane - 1899 - 266 pages
...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, of a proportion. Let ad = be. Dividing both members of the equation by bd,... | |
 | George Edward Atwood - 1900 - 276 pages
...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...numbers, the factors of either product may be made the extremes, and the factors of the other product the means, of a proportion. 1. 2. 3. 4. ad = bc ad =... | |
 | Alan Sanders - Geometry, Modern - 1901 - 260 pages
...(CONVERSE OF PROP. I.) 411. If tJte product of two factors is equal to the product of two other factors, the factors of either product may be made the means,...of the other product the extremes of a proportion. Let ad = be. (1) To Prove - = -. bd Proof. [Divide both members of (1) by bd.] QED 412. EXERCISE. From... | |
 | Arthur Schultze - 1901 - 392 pages
...of a; if 3 : z = 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... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1901 - 396 pages
...of x 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... | |
 | Arthur Schultze - 1901 - 260 pages
...of z if 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... | |
 | William James Milne - Algebra - 1901 - 476 pages
...member 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,... | |
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