 | Charles Lingle Woodfield - Arithmetic - 1917 - 154 pages
...inside, are called the means. Learn the following three things which are true for every proportion: 1. The product of the extremes equals the product of the means. 2. The product of the extremes divided by one of the means equals the other mean. 3. The product of the... | |
 | Clarence Wesley Sutton, Nels Johann Lennes - Business mathematics - 1918 - 488 pages
...same. This is true of any proportion in which the ratios are reduced to simplest form. Hence, ' In a proportion the product of the extremes equals the product of the means. This statement holds for any proportion whatever, whether the ratios are reduced to simplest form or... | |
 | Claude Irwin Palmer - Geometry, Solid - 1918 - 192 pages
...CHAPTER IV. PROPORTION AND SIMILARITY THEOREMS OF PROPORTION § 398. Theorem. If four numbers form a proportion, the product of the extremes equals the product of the means. § 399. Theorem. The mean proportional between two numbers equals the square root of their product.... | |
 | Claude Irwin Palmer, Daniel Pomeroy Taylor - Geometry - 1918 - 460 pages
...is -g-; the reciprocal of f- is 1 -r|-=-f. FUNDAMENTAL THEOREMS 398. Theorem. If four numbers form a proportion, the product of the extremes equals the product of the means. „. ac Given r= -. oa To prove ad=bc. Proof. Multiplying both ratios by bd, ad = be. NOTE . A proportion... | |
 | Herbert Edwin Hawkes, William Arthur Luby, Frank Charles Touton - Algebra - 1918 - 296 pages
...the extremes of the proportion, and the second member is the product of the means. Therefore in any proportion the product of the extremes equals the product of the means. 132. Proportions from equal products. The numbers which occur in a pair of equal products may be used... | |
 | Winfield Paul Webber, Louis Clark Plant - Calculus - 1919 - 330 pages
...following fundamental and useful theorems: (L С If r = -,, then it can be proved that: 1. ad = bс, the product of the extremes equals the product of the means. 2. - = -j , proportion by alternation. с d 3. - = -, proportion by inversion. . a + 6 c + d . , ... 4.... | |
 | Herbert Edwin Hawkes, William Arthur Luby, Frank Charles Touton - Algebra - 1919 - 536 pages
...the extremes of the proportion, and the second member is the product of the means. Therefore in any proportion the product of the extremes equals the product of the means. 232. Proportions from equal products. The numbers which occur in a pair of equal products may be used... | |
 | Lewis Parker Siceloff, David Eugene Smith - Algebra - 1924 - 274 pages
...apparent if we multiply both members of the first equation by bd. This law is often expressed as follows : If four numbers are in proportion, the product of the extremes equals the product of the means. af* 2. If ad = be, then - = — • oa This is apparent if we divide both members of the first equation... | |
 | Joseph Antonius Nyberg - 1924 - 378 pages
...and compare the result with the product of the means. From ex. 6 we have the important truth : In any proportion the product of the extremes equals the product of the means. This rule is used to decide quickly whether or not two fractions are equal. For example, if ^ = f£,... | |
 | Herbert Edwin Hawkes, William Arthur Luby, Frank Charles Touton - Algebra - 1926 - 456 pages
...the extremes of the proportion, and the second member is the product of the means. Therefore, in any proportion the product of the extremes equals the product of the means. EXERCISES Form proportions from the following by supplying the missing terms : 2_12 36_9 Ь 3 ~ ? '... | |
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In any proportion, the product of the extremes equals the product of the means. 
