 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
 | Arthur Schultze - 1901 - 260 pages
...value of a: 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 t,oo other numbers, either two may be made the means, and the other two the extremes of a proportion.... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1902 - 394 pages
...of a; if 3 : z = 4 : 8. Ex. 518. Find the value of x if a : Tn = x : n. PROPOSITION II. THEOREM 265. If the product of two numbers is equal to the product of tioo other numbers, either two may be made the means, and the other two the extremes of a proportion.... | |
 | 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. Let... | |
 | William James Milne - Algebra - 1902 - 620 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 t/ie extremes and the other pair the means of a proportion. If ad = ftc,... | |
 | Alan Sanders - Geometry - 1903 - 392 pages
...(CONVERSE OF PROP. I.) 411. // the 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 - = -• ba Proof. [Divide both members of (1) by bd.~] QED 412. EXERCISE.... | |
 | George Clinton Shutts - Geometry - 1905 - 412 pages
...the parallelogram into two parts which are equal in all respects. PROPOSITION II. 263. Theorem. // 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 of a proportion.... | |
 | George Clinton Shutts - 1905 - 260 pages
...the parallelogram into two parts which are equal in all respects. PROPOSITION II. 263. Theorem: // 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 of a proportion.... | |
 | Arthur Schultze - Algebra - 1905 - 468 pages
...of their product. Let the proportion be a : b = b : c. Then b2 = ас. (§181.) Hence b = Vac. 183. 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. (Converse of §... | |
 | Arthur Schultze - Algebra - 1905 - 674 pages
...of their product. Let the proportion be a : b = b : c. Then tf = ac. (§181.) Hence Ъ = Vac. 183. 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. (Converse of §... | |
 | Arthur Schultze - Algebra - 1906 - 584 pages
...of their product. Let the proportion be a : b = b : c. Then 62 = ac. (§181.) Hence b = Väc. 183. 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. (Converse of §... | |
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