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Books Books 91 - 100 of 124 on In any proportion, the product of the means is equal to the product of the extremes..
" In any proportion, the product of the means is equal to the product of the extremes. "
Treatise on the elements of algebra - Page 256
by James Bryce - 1837
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The Packard Commercial Arithmetic

Silas Sadler Packard, Byron Horton - Business mathematics - 1882 - 204 pages
...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...
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A Short History of Greek Mathematics

James Gow - Mathematics - 1884 - 323 pages
...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...
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Principles of Arithmetic

M.A. Homersham Cox - 1885 - 220 pages
...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...
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Elements of Geometry and Trigonometry from the Works of A.M. Legendre ...

Charles Davies, Adrien Marie Legendre - Geometry - 1885 - 512 pages
...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 =...
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School work

Frederick John Gladman - 1885
...— the four numbers are in " proportion." 2 : 4 : : 3 : 6 (b) When four numbers are in proportion, the product of the means is equal to the product of the extremes. Define the terms "means" and "extremes," and illustrate the truth of the dictum by an example. In every...
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Geometry - Plane, Solid and Analytic Problem Solver

Research & Education Association Editors, Ernest Woodward - Mathematics - 2012 - 1080 pages
...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...
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A Brief Course in Arithmetic

Ann Farber, Gale Edgerton, Paul Karanevich - Mathematics - 1985 - 213 pages
...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...
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Geometry I Essentials

Max Fogiel, The Editors of Rea - Mathematics - 2015 - 129 pages
...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...
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Basic Math Concepts: For Water and Wastewater Plant Operators

Joanne K. Price - Technology & Engineering - 1991 - 368 pages
...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...
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Merriam-Webster's Guide to Everyday Math: A Home and Business Reference

Brian Burrell - Mathematics - 1998 - 373 pages
...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...
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