 If the product of two quantities is equal to the product of two other quantities, two of them may be made the extremes, and the other two the means of a proportion.  School Algebra - Page 355by John Marvin Colaw - 1903 - 432 pagesFull view - About this book
 | Webster Wells, Walter Wilson Hart - Geometry, Plane - 1915 - 330 pages
...proportion by (a) inversion ? (6) composition ? (c) alternation ? 2. Complete the following theorem : " If the product of two numbers equals the product of two other numbers, one pair, ... " 3. Define : (a) mean proportional ; (6) fourth proportional ; (c) similar polygons... | |
 | Jacob William Albert Young, Lambert Lincoln Jackson - Geometry, Plane - 1916 - 328 pages
...+ 3 3 ' x from (9) and (10), y 3 x _ 2 x and compare their <e~2' ' y — 3~y' values. 12. Show that if the product of two numbers equals the product of two other numbers, either 'pair may be made the means and the other the extremes of a proportion. Write each of the following... | |
 | John Charles Stone, James Franklin Millis - Geometry - 1916 - 298 pages
...product of the means. That is, if - = -, then ad = be. ba Suggestion. Multiply both members by bd. (2) If the product of two numbers equals the product of two other numbers, the four numbers are in proportion, one pair of factors being extremes and the other pair means. That... | |
 | Webster Wells, Walter Wilson Hart - Geometry - 1916 - 504 pages
...proportion by (a) inversion? (6) composition ? (c) alternation ? 2. Complete the following theorem : " If the product of two numbers equals the product of two other numbers, one pair, ••• " 3. Define: (a) mean proportional; (6) fourth proportional; (c) similar polygons... | |
 | John Charles Stone, James Franklin Millis - Geometry, Solid - 1916 - 196 pages
...If four numbers are in proportion, the product of the extremes equals the product of the means. (2) If the product of two numbers equals the product of two other numbers, the four numbers are in proportion, one pair of factors being extremes and the other pair means. (3)... | |
 | George William Myers, George Edward Atwood - Algebra - 1916 - 358 pages
...this plan is not observed, and that the expressions obtained are not proportions. 286. Principle. // the product of two numbers equals the product of two other numbers, the factors of either product may be made the means and those of the other product the extremes of... | |
 | Claude Irwin Palmer, Daniel Pomeroy Taylor - Geometry - 1918 - 460 pages
...following pairs of numbers: (1) 5 and 20, (2) 4 and 100, (3) 2xy and 8xy, (4) a+6ando-6. 402. Theorem. If the product of two numbers equals the product of two other numbers, either two may be made the means and the other two the extremes of a proportion. Given ad = bc. ac To prove r = -;. 6 a Proof.... | |
 | Claude Irwin Palmer - Geometry, Solid - 1918 - 192 pages
...respectively to three corresponding terms of another proportion, the fourth terms are equal. § 402. Theorem. If the product of two numbers equals the product of two other numbers, either two may be made the means and the other two the extremes of a proportion. § 404. Theorem. If four numbers form a proportion,... | |
 | Mabel Sykes, Clarence Elmer Comstock - Geometry, Modern - 1918 - 344 pages
...product of the means is equal to the product of the extremes. The proof is left to the pupil. THEOREM 91. If the product of two numbers equals the product of two other numbers, either pair of factors may be made the extremes and the other pair the means of a proportion. Qi X _,„.... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1918 - 486 pages
...(6) 14 and 21, (c) 1 and a. PROPOSITION II. THEOREM 279. 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. Given mn —pq. To prove m:p = q:n. Proof.... | |
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