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" In any proportion, the product of the means is equal to the product of the extremes. "
Elements of Plane Geometry: For the Use of Schools - Page 53
by Nicholas Tillinghast - 1844 - 96 pages
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Elements of Plane and Solid Geometry

George Albert Wentworth - Geometry - 1877 - 416 pages
...the diameter is a mem proportional between the segments of the diameter). Then tiCl = MCXCN, 259 (the product of the means is equal to the product of the extremes). QEF GEOMETRY. BOOK IV. PROPOSITION XXVI. PROBLEM. 359. To construct a parallelogram equivalent to a...
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Complete Arithmetic: Theoretical and Practical

William Guy Peck - Arithmetic - 1877 - 428 pages
...have equal denominators ; hence, their numerators are equal, that is, 5 x 8 = 2 x 20 ; in this case the product of the means is equal to the product of the extremes. But we can reason in like manner on any proportion ; hence, we have the following principle : 1....
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Elements of Plane and Solid Geometry

George Albert Wentworth - Geometry - 1877 - 416 pages
...circumference to the diameter is a mean proportional between the segments of the diameter). aXb, 259 (flu product of the means is equal to the product of the extremes). QEF 355. COROLLARY 1. A square may be constructed eqxiivalent to a triangle, by taking for its side...
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The Franklin Written Arithmetic: With Examples for Oral Practice

Edwin Pliny Seaver - Arithmetic - 1878 - 380 pages
...preceding 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
...proportion are 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
...circumference of a circle equals 3'1416 its 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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Ray's New Higher Arithmetic: A Revised Edition of the Higher Arithmetic

Joseph Ray - Arithmetic - 1880 - 420 pages
...both ratios are simple ; Compound when one or both ratios are compound. PRINCIPLES. — 1. In every proportion the product of the means is equal to the product of Hie extremes. 2. The product of the extremes divided by either mean, iritt give the other mean. < 3....
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Elements of Geometry

George Albert Wentworth - 1881 - 266 pages
...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...
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Twelve years' Queen's scholarship questions

Education Ministry of - 1882 - 292 pages
...circumference of a circle equals 3'1416 its 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 Complete Arithmetic, Oral and Written, on the Basis of Works

Henry Bartlett Maglathlin - Arithmetic - 1882 - 400 pages
...are the 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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