 | 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
...the measures of the extremes, and о and и are the measures of the means. § 200. Therefore — In a proportion the product of the means equals the product of the extremes. 262. NOTE. — It frequently occurs that mathematical expressions are used which are intelligible under... | |
 | Wooster Woodruff Beman, David Eugene Smith - Geometry - 1895 - 346 pages
...PROPERTIES. I. If a : b = 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
...then ad = bc. Proof. 1. 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.... | |
 | William Freeland - Algebra - 1895 - 328 pages
...consequent is the same as the following antecedent. PROPERTIES OF PROPORTIONS. 284. I. When four quantities are in proportion, the product of the means equals the product of the extremes. Let a, b, c, d, be in proportion. Then - = -• bd Clearing of fractions, ad = cb. From this, we have,... | |
 | University of the State of New York. Examination dept - Examinations - 1895 - 436 pages
...$36 ? (b) 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... | |
 | Horatio Nelson Robinson - Arithmetic - 1895 - 526 pages
...: 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... | |
 | Edward Brooks - Arithmetic - 1895 - 424 pages
...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 = f , and multiplying these equals by 4 and 3, we have... | |
 | Frank H. Hall - Arithmetic - 1896 - 300 pages
...terms of a proportion are called the extremes, and the second and third terms the means. In every true proportion, the product of the means equals the product of the extremes. 78. Per cent means hundredth or hundredths. 1 per cent is Tттп 9 per cent is T?ff; 200 per cent... | |
 | Frank H. Hall - Arithmetic - 1896 - 296 pages
...terms of a proportion are called the extremes> aad the second and third terms the means. In every true proportion, the product of the means equals the product of the extremes. 78. Per cent means hundredth or hundredths. 1 per cent is T ^j; 9 per cent is T ? 5 ; 200 per cent... | |
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In any proportion, the product of the means equals the product of the extremes. 
