 | Silas Sadler Packard, Byron Horton - 1882 - 224 σελίδες
...proportion are called the extremes ; and the second and third, the means. 385. PRINCIPLES. — 1. Tlie product of the means is equal to the product of the extremes. 2. A missing mean may be found by dividing the product of the extremes by the given mean. 3. A missing... | |
 | James Gow - 1884 - 350 σελίδες
...would suffice for the discovery of many important rules, such for instance as that, in a proportion, the product of the means is equal to the product of the extremes. It is probable, therefore, that much of the Greek arithmetical knowledge dates from a time far anterior... | |
 | Charles Davies, Adrien Marie Legendre - 1885 - 538 σελίδες
...product is a fixed quantity, as xy = m. PROPOSITION I. THEOREM. If four quantities are in proportion, the product of the means is equal to the product of the extremes. Assume the proportion, BD A : B : : C : D ; whence A" = ~C- ' clearing of fractions, we have, BC =... | |
 | Homersham Cox (the younger) - 1885 - 248 σελίδες
...means. But whichever way it is written the theorem just proved can be stated thus— In any proportion the product of the means is equal to the product of the extremes. Since the product of 10 and 15 is equal to the product of 25 and 6 they both have the same ratio to... | |
 | Research & Education Association Editors, Ernest Woodward - 2012 - 1080 σελίδες
...angles. 10. AA = AA 11. Corresponding sides of similar triangles are in proportion. 12. In a proportion, the product of the means is equal to the product of the extremes. • PROBLEM 531 Using Ptolemy's Theorem show that if a anS b, with a ^ b, are chords of two arcs of... | |
 | Ann Faber, Gale Edgerton, Paul Karanevich - 1985 - 254 σελίδες
...proportion amounts to multiplying the "means" (inner numbers) and the "extremes" (outer numbers). If the product of the means is equal to the product of the extremes, the ratios are equal. 2X2 = 4 1:2 2:4 1 X4 = 4 4 = 4, so that 1 :2 = 2:4 is a proportion. I Example... | |
 | The Editors of REA - 2013 - 112 σελίδες
...the means of the proportion. The single term d is called the fourth proportional. In a proportion, the product of the means is equal to the product of the extremes. Theorem 2 A proportion may be written by inversion. (If alb = eld, then bla = die.) Theorem 3 •i... | |
 | Joanne K. Price - 1991 - 380 σελίδες
...proportion. The inside terms (2nd and 3rd) are called the means of a proportion. For all proportions, the product of the means is equal to the product of the extremes. In other words, when the two inside terms are multiplied, the answer will be the same as when the two... | |
 | Brian Burrell - 1998 - 386 σελίδες
...height. The resulting proportion is .*-.-! 18 ~ 3 This can be solved by cross-multiplication. (Recall that the product of the means is equal to the product of the extremes.) Thus 3x = 18 - 4 = 72, and therefore x = 7% = 24. doubled, the volume of the cube increases by a factor... | |
 | Haym Kruglak, John Moore, Ramon Mata-Toledo - 1998 - 508 σελίδες
...proportion. The above proportion can be written in fractional form as a/b = c/d. Rule. In any proportion, the product of the means is equal to the product of the extremes. Ratio For instance, 3:4 = 6:8 is a proportion and the product of the means is (4)(6) or 24 and the... | |
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In any proportion, the product of the means is equal to the product of the extremes. 
