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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

## The New American Arithmetic, Part 3

...of a proportion are called the Extremes, and the second and third terms the Means. In any proportion the product of the means is equal to the product of the extremes. Thus, in the proportion 4:8 :: 12:24, 8X12 = 4X24. A Simple Proportion expresses the equality of two...

## Bradbury's Elementary Algebra: Designed for the Use of High Schools and ...

William Frothingham Bradbury - Algebra - 1877 - 269 pages
...terms of a proportion are called the extremes, and the second and third the means. 106. In a proportion the product of the means is equal to the product of the extremes. Let a : b = с : d a с 6 = 5 Clearing of fractions, ad^bc A proportion is an equation ; and making...

## Elements of Plane and Solid Geometry

George Albert Wentworth - Geometry - 1877 - 398 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...

## The Franklin Written Arithmetic: With Examples for Oral Practice

Edwin Pliny Seaver, George Augustus Walton - Arithmetic - 1878 - 348 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...

## The civil service arithmetic. [With] A key. [With] A key, Volume 1

...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...

## Ten years' Queen's scholarship questions, 1870-9, with answers to arithmetic ...

Education Ministry of - 1880
...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....

## Elements of Geometry

George Albert Wentworth - Geometry, Plane - 1881 - 250 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...

## Twelve years' Queen's scholarship questions

Education Ministry of - 1882
...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....