 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.  Advanced Algebra - Page 142by Arthur Schultze - 1905 - 562 pagesFull view - About this book
 | 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.... | |
 | 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 of two other numbers, the factors of either product may be made the extremes, and the factors of the other product the means,... | |
 | 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 prove m:p... | |
 | 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 prove m:p... | |
 | 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 prove m:p... | |
 | 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,... | |
 | 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.... | |
 | 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.... | |
 | 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.... | |
 | 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,... | |
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