 | Benjamin Greenleaf - Algebra - 1879 - 376 pages
...of the extremes, and be the product of the means. Hence, To convert a proportion into an equation, place the product of the extremes equal to the product of the means. 167. For stating or solving problems the following directions may be found useful : — 1 . Denote... | |
 | Thomas K. Brown - Algebra - 1879 - 292 pages
...ж - 4 :: 9:6, then 6 ж + 24 - 9 x - 36. Change the following proportions to equations, by placing the product of the extremes equal to the product of the means : MENTAL EXERCISE. 1. x-.xS :: 5:3. 4. - : 3x - 1 : : 1 : 4. 2 2. x : у : : 2 : 7. 5. x + у : x -... | |
 | Shelton Palmer Sanford - Algebra - 1879 - 348 pages
...necessary consequence that The terms of a proportion may be icrilten in AJTY order thai will leave the product of the extremes equal to the product of the means. Let us take the proportion a : b : : c : d. (I.) Then, a : c : : b : d, (IL) or, b:a::d:c, (III.) and... | |
 | Benjamin Greenleaf - 1879 - 346 pages
...of the extremes, and be the product of the means. Hence, To convert a proportion into an equation, place the product of the extremes equal to the product of the meant. 167. For stating or solving problems the following directions may be found useful : — 1 .... | |
 | Charles Scott Venable - 1881 - 380 pages
...consequences of Theorem II. For we can change the order of the terms in any way which still renders the product of the extremes equal to the product of the means. REMARK 2. — Unless the four quantities are of the same kind, the alternation of the terms cannot... | |
 | Christian Brothers - Arithmetic - 1888 - 484 pages
...OPERATION. (1) 18 : 15 : : 42 : x 18 x ж = 15x42 18 x = 15 x 42 x = í£& = 35 SOLUTION. — Placing the product of the extremes equal to the product of the means, we have 18 xx = 15 x 42, from which we find x to be equal to 35. In the second proportion the unknown... | |
 | William Chauvenet, William Elwood Byerly - Geometry - 1887 - 336 pages
...by bb', we obtain Corollary. The terms of a proportion may be written In any order which will make the product of the extremes equal to the product of the means. Thus, any one of the following proportions may be inferred from the given equality ab' — a'b : a:b... | |
 | Edward Richard Shaw - 1887 - 488 pages
...e : d. Writing the proportion in another form, we have r = -r. Clearing of fractions gives ad = be, the product of the extremes equal to the product of the means, which was to be proved. 10. *= first term; fey3 y = the ratio; 4xy3 = 9zy -f- ftr?/4 xy = second term;... | |
 | William Chauvenet, William Elwood Byerly - Geometry - 1887 - 331 pages
...by bb ' , we obtain Corollary. The terms of a proportion may be written In any order which will make the product of the extremes equal to the product of the means. Thus, any one of the following proportions may be inferred from the given equality aV = a'b : a : b... | |
 | Charles Scott Venable - Arithmetic - 1888 - 402 pages
...denominator, ^ ^ |g = j6 » 24' MultiPIyingbothfractionsby24 x 16, the denominators, gives 18 x 16 = 12 x 24, the product of the extremes equal to the product of the means. 862. Proportion is subdivided as follows : Simple Proportion, Compound Proportion, Inverse Proportion,... | |
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For, if we have given ab' = a'b, then, dividing by bb', we obtain Corollary. The terms of a proportion may be written In any order which will make the product of the extremes equal to the product of the means. 
