 | Edward Sylvester Ellis - Arithmetic - 1889 - 370 pages
...'I-' ' PI : : 40 : 200. 5 ) : : 64 : 576. It follows from what has been stated that : ART. 415. — 1. The product of the means equals the product of the extremes. 2. Either extreme equals the product of the means divided by the other extreme. 3. Either mean equals... | |
 | Henry Holmes Belfield - Arithmetic - 1891 - 362 pages
...consequent ) that exists between the other two terms taken in the same order. Find the missing terms : 520. In every proportion, the product of the means equals the product of the extremes. SOLUTION III. Since 5:8::10:16, 5X16=8X10. If the first term be missing, the proportion reads z:8::10:16;... | |
 | George Irving Hopkins - 1891 - 210 pages
...however, to represent the magnitudes either by angles or lines, as in 287. 291. If four quantities form a proportion, the product of the means equals the product of the extremes. 292. Remark. Our ability to demonstrate the theorems in proportion depends on our knowledge of the... | |
 | George Clinton Shutts - Geometry - 1894 - 412 pages
...of their measures. j. Compare the ratios of the measures, and apply Case L Therejore — Model. In a proportion, the product of the means equals the product of the extremes. CASE L // all the terms are numbers. А С Let — = — be a proportion in which A, B, C, and D are... | |
 | Edward Brooks - Arithmetic - 1895 - 430 pages
...truths relating to a proportion. They enable us to find any one term when the other three are given. PRINCIPLES. 1. In every proportion the product of the means equals the product of the extremes. In any proportion, as 6 : 3 = 8 : 4, we have f = {, and multiplying these equals by 4 and 3, we have... | |
 | Horatio Nelson Robinson - Arithmetic - 1895 - 526 pages
...3 : : 0 : 9, by inversion becomes 8 : 2 : : 9 : (J, and by alternation 2 : 6 : : 3 : 9. 470. Since in every proportion the product of the means equals the product of the extremes, it. follows that, any three terms of a proportion being given, the fourth may be found by the following... | |
 | University of the State of New York. Examination dept - Examinations - 1895 - 436 pages
...If 60 bushels of wheat cost $36, what is the price a bushel? 9 Show that if four quantities are in proportion the product of the means equals the product of the extremes. Mention one application of this principle. 10 Compare the United States rule for partial payments with... | |
 | William Kent - Engineering - 1895 - 1234 pages
...fourth terms are called the extremes or outer terms, the second and third the means or inner terms. The product of the means equals the product of the extremes: 2 : 4 : : 3 : 6; 2 x б = 12; 8 X 4 = 12. Hence, given the first three terms to find the fourth, multiply... | |
 | Wooster Woodruff Beman, David Eugene Smith - Geometry - 1895 - 346 pages
...= c : d, then ad = bc. Proof. 1. From r = -f bd bd, that 2. ad = bc. Hence, If four numbers are in proportion, the product of the means equals the product of the extremes. it follows, by multiplying equals by Ax. 6 If four lines are in proportion, the rectangle lof the means... | |
 | Wooster Woodruff Beman, David Eugene Smith - Geometry - 1895 - 344 pages
...From - = -> it follows, by multiplying equals by bd, that 2. ad = bc. Hence, If four numbers are in proportion, the product of the means equals the product of the extremes. Ax. 6 If four lines are in proportion, the rectangle of the means equals the rectangle of the extremes.... | |
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In any proportion, the product of the means equals the product of the extremes. 
