 If the product of two numbers is equal to the product of two others, one pair may be made the extremes, and the other pair the means, of a proportion. Given ad = be. (1) To Prove - = -. bd Proof. Dividing both members of (1) by bd, ad_bc_ £_£ bd~bd'...  Elementary Algebra Revised - Page 320by Frederick Howland Somerville - 1913 - 447 pagesFull view - About this book
 | Webster Wells - Geometry, Plane - 1908 - 208 pages
...numbers is equal to the square root of their product. PROP. II. THEOREM 218. (Converse of Prop. I.) If the product of two numbers is equal to the product of two others, one pair may be made the extremes, and the other pair the means, of a proportion. Given ad... | |
 | George William Myers - Mathematics - 1909 - 390 pages
...the extremes is equal to the product of the means. This is a convenient test of proportionality. 11. 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 in a proportion. 12. A proportion... | |
 | James William Nicholson - Algebra - 1909 - 332 pages
...in like manner, illustrate each of the following principles by one or more numerical examples. (2) 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. Let mq = np. tYYl... | |
 | Arthur Schultze - Algebra - 1918 - 336 pages
...their product. Let the proportion be •. a : b = b : c. Then 62 = ac._(§ 163.) Hence b .= Vac. 165. 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 §... | |
 | William James Milne - Algebra - 1911 - 332 pages
...fourth proportional to a, b, and c. Find a fourth proportional to ¿, |, and \. 394. 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. For, given ad = bС.... | |
 | William James Milne - Algebra - 1911 - 378 pages
...proportional to a, b, and c. Find a fourth proportional to ^, ^, and -£. 394. PRINCIPLE 3. — Tjf 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. For, given ad — be.... | |
 | Clara Avis Hart, Daniel D. Feldman - Geometry, Modern - 1911 - 328 pages
...J£xiy = b:c, isdx:y = b :cd a, true proportionf PROPOSITION II. THEOREM (Converse of Prop. I) 393 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. Given ad = be. To... | |
 | Webster Wells, Walter Wilson Hart - Algebra - 1912 - 344 pages
...bc, by clearing of fractions. bd EXAMPLE. Since f = f, 2 • 9 should equal 3 • 6. Does it ? 218. If the product of two numbers is equal to the product of two other numbers, one pair may be made the means and the othcr the. extremes of a proportion. If mn = xy, then — = - • xn Prove this by dividing... | |
 | Clara Avis Hart, Daniel D. Feldman - Geometry - 1912 - 504 pages
...616. Ifx:y = b:c,iadx:y = b:cda true proportion t PBOPOSITION II. THEOREM (Converse of Prop. I) 393 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. Given ad = be. To... | |
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