 | American School (Chicago, Ill.) - Engineering - 1903 - 390 pages
...Clearing of fractions, ad = be 129. Scholium. A proportion is merely an equation ; and when we make the product of the extremes equal to the product of the means, we simply clear of fractions. THEORfcn II. 130. If (conversely to Theorem /) the product of the two... | |
 | Arthur William Potter - Algebra - 1904 - 182 pages
...equals the product of the extremes divided by the other mean. To convert a proportion into an equation, place the product of the extremes equal to the product of the means. [54] Convert the following proportions into equations and find the value of the unknown quantity. Then... | |
 | William Chauvenet - 1905 - 336 pages
...-,ora:b = a':b'. bb Corollary. The terms of a proportion may be written tn 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... | |
 | Education - 1906 - 958 pages
...passing from a variation to a proportion. The method of testing the justness of a proportion, viz., the product of the extremes equal to the product of the means, is not the best method. When the numbers are large this method may show large differences in the products... | |
 | John Marvin Colaw, Frank Williamson Duke - Arithmetic - 1906 - 408 pages
...x : 8 = 9 : 12. This proportion is true for a particular value of x, which may be found by placing the product of the extremes equal to the product of the means and solving ; thus, = 8 x 9. That is, one extreme equals the product of the means divided by the other... | |
 | Edward Rutledge Robbins - Geometry, Plane - 1906 - 268 pages
...proven equal to the product of two other lines, by proving these four lines proportional and making the product of the extremes equal to the product of the means. 354. One line is proven a mean proportional between two others by proving that two triangles which... | |
 | Edward Rutledge Robbins - Geometry - 1907 - 428 pages
...proved equal to the product of two other lines, by proving these four lines proportional and making the product of the extremes equal to the product of the means. 354. One line is proved a mean proportional between two others by proving that two triangles which... | |
 | Joseph W Wilson (Mathematician) - 1910 - 316 pages
...conditions of the question, x + 5000 : y — 3000 : : 25 : 12. ) x — 3000 : y + 5000 ; : 17 : 20. j Making the product of the extremes equal to the product of the means, (12 a; + 60000 = 25 y — 75000. ) 1 20 х — 60000 = 17 у + 85000. j Bringing these equations into... | |
 | Clara Avis Hart, Daniel D. Feldman - Geometry, Modern - 1911 - 332 pages
...two chords intersect within a circle, establish a proportionality among the segments of the chords. Place the product of the extremes equal to the product of the means, and state your result as a theorem. Ex. 671. If two secants are drawn from any given point to a circle,... | |
 | Clara Avis Hart, Daniel D. Feldman - Geometry, Modern - 1911 - 328 pages
...product ol two other lines, prove the four lines proportional by the method just suggested, then put the product of the extremes equal to the product of the means.» 426. Def. The length of a secant from an external point to a circle is the length of the segment included... | |
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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. 
