 | Henry Charles Horstmann, Victor Hugo Tousley - Electric wiring - 1918 - 324 pages
...X. The values of A, B and R are known, and, since it is a well-known rule of arithmetic that in any proportion the product of the means equals the product of the extremes, we can find the value of X, since AXX=BXR, ' — 7 — =X, or in other words to A, find the value of... | |
 | Edson Homer Taylor - Mathematics - 1919 - 272 pages
...the means. The four numbers which form a proportion are said to be proportional. Principle. In any proportion the product of the means equals the product of the extremes. If ~ = - , both members of the equation may be multiplied oa bybd. Then ad = be. This principle gives... | |
 | Raleigh Schorling, William David Reeve - Mathematics - 1919 - 520 pages
...whole hypotenuse and the segment of the hypotenuse adjacent to it. Because when four quantities are in proportion the product of the means equals the product of the extremes. Addition axiom. By factoring out c. The whole is equal to the sum of all its parts. By substitution.... | |
 | Marquis Joseph Newell - 1920 - 424 pages
...three distinct numbers in the proportion, a, x, and b. . 129. Fundamental laws of proportion. I. In any proportion the product of the means equals the product of the extremes. (See § 79.) я c That is, if j = ¿¿then ad = lc. Explain how obtained. II. If the product of two... | |
 | Julius Lederer Neufeld - Algebra - 1920 - 412 pages
...without destroying the equality of the two ratios. PRINCIPLES OF PROPORTIONS 168. Principle 1. — In any proportion, the product of the means equals the product of the extremes, If a:b=c:d The,, | = | Clearing of fractions, ad = be. If a : b = b : c, Then 62 = ac A mean proportional... | |
 | John Bascom Hamilton, Herbert Earle Buchanan - Mathematics - 1921 - 310 pages
...means and extremes given above, this result can be stated in words as follows: 264. Theorem. In any proportion the product of the means equals the product of the extremes. A statement of this sort, which has been deduced from given facts, is called a theorem. CL C If 1 be... | |
 | Helen J. Kiggen - Business mathematics - 1922 - 424 pages
...are the means; the first and third, the antecedents, and the second and fourth, the consequents. 2. In every proportion the product of the means equals the product of the extremes. 3. Since the product of the means equals the product of the extremes, a missing extreme is found by... | |
 | George Wentworth, David Eugene Smith, Herbert Druery Harper - Mathematics - 1922 - 216 pages
...if we multiply both fractions by 7 x 35 we see that 7x15 = 3x35. Therefore, it follows that in any proportion The product of the means equals the product of the extremes. If we let x stand for some number that we are to find, and if #: 29 = 26: 105, 29x26 then x = '•... | |
 | Joseph Clifton Brown, Albert Clayton Eldredge - Arithmetic - 1924 - 346 pages
...products compare in each case? Your solution of these problems shows the truth of this principle: In any proportion, the product of the means equals the product of the extremes. Three terms are usually given in a problem that involves proportion. It is then necessary to find the... | |
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In any proportion, the product of the means equals the product of the extremes. 
