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" In any proportion, the product of the means is equal to the product of the extremes. "
Elements of Plane and Solid Geometry - Page 202
by George Albert Wentworth - 1877 - 398 pages
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The Franklin Written Arithmetic: With Examples for Oral Practice

Edwin Pliny Seaver, George Augustus Walton - Arithmetic - 1878 - 360 pages
...illustration may be derived the following principles : 1. When four general numbers form a proportion, the product of the means is equal to the product of the extremes. 2. A missing extreme may be found by dividing the product of the means by the given extreme. 3. A missing...
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The civil service arithmetic. [With] A key. [With] A key, Volume 1

Robert Johnston (F.R.G.S.) - 1879 - 318 pages
...called means (9 and 10); the first and fourth extremes (15 and 6). When four numbers form a proportion, the product of the means is equal to the product of the extremes. Thus, 6 : 3 : : 8 : 4 ; here, 6X4, the extremes, = 8X3, the means, = 24. form a proportion, the factors...
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Ten years' Queen's scholarship questions, 1870-9, with answers to arithmetic ...

Education Ministry of - 1880 - 248 pages
...diameter. SECTION X. 1. Define ratio and proportion. Show that when four numbers are in proportion the product of the means is equal to the product of the extremes. 2. Explain, as to a class, the object and the process of reducing fractions to a common denominator....
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Elements of Geometry

George Albert Wentworth - 1881 - 266 pages
...circumference to the diameter is a mean proportional between the segments of the diameter). Then SCl = MCXCN, 259 (the product of the means is equal to the product of the extremes). QEF 358. SCHOLIUM. The problem is impossible when the side of the square is greater than one-half the line...
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Elements of Geometry

George Albert Wentworth - Geometry, Plane - 1882 - 268 pages
...JfO. Then the square R, constructed upon a line equal to NP, is equivalent to the О AB С D. Гот MN : NP : : NP : NO, 307 (a .L let fall from any...the extremes). QEF 355. COROLLARY 1. A square may bе constructed equivalent to a triangle, bу taking for its side a mean proportional between the base...
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Elements of Geometry

George Albert Wentworth - Geometry, Modern - 1879 - 262 pages
...(a _L let fall from any point of a circumference to the diameter is a mean proportional between ffie segments of the diameter). aXb, 259 (the product...by taking for its side a mean proportional between tho. base and one-half the altitude of the triangle. 356. COR. 2. A square may be constructed equivalent...
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Twelve years' Queen's scholarship questions

Education Ministry of - 1882 - 292 pages
...diameter. SECTION X. 1. Define ratio and proportion. Show that when four numbers are in proportion the product of the means is equal to the product of the extremes. 2. Explain, as to a class, the object and the process of reducing fractions to a common denominator....
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The Packard Commercial Arithmetic

Silas Sadler Packard, Byron Horton - Business mathematics - 1882 - 324 pages
...a proportion are called the extremes ; and the second and third, the means. 385. PRINCIPLES. — I. The product of the means is equal to the product of the extremes. 3. A missing extreme may be found by dividing the product of the means by the given extreme. 386. To...
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The Complete Arithmetic, Oral and Written, on the Basis of Works

Henry Bartlett Maglathlin - Arithmetic - 1882 - 400 pages
...extremes, and 3 and 4 the means. Hence the following 348. Principles of Proportion. 1. In a proportion the product of the means is equal to the product of the extremes. 2. Hither extreme is equal to the product of the means divided by the other extreme. 3. Either mean...
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The Packard Commercial Arithmetic

Silas Sadler Packard, Byron Horton - Business mathematics - 1882 - 224 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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