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" Four quantities are said to be in proportion when the product of the extremes is equal to that of the means : thus if A multiplied by D, be equal to B multiplied by C, then A is said to be to B as C is to D. "
A Treatise of Practical Surveying, ... - Página 23
por Robert Gibson - 1808 - 440 páginas
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The Theory and Practice of Surveying: Containing All the Instructions ...

Robert Gibson, James Ryan - 1839 - 412 páginas
...are called irregular polygons, as an irregular pentagon, hexagon, &e. 49. Four quantities are said 10 be in proportion when the product of the extremes is equal to that of the means i thus if A multiplied by D be equal to B multiplied by C, then A is said to be to B as C is to D....
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Hints, Theoretical, Elucidatory, and Practical, for the Use of Teachers of ...

Olinthus Gregory - 1840 - 188 páginas
...by equal fractions, be carefully pointed out. (A.) When four numbers are direct proportionals, the product of the extremes is equal to that of the means. Thus: — If then, also, But Cor. Hence ad C whence the rules of proporc — -j- < . . . . . rr 6 I tion in arithmetic....
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Hints, Theoretical, Elucidatory, and Practical, for the Use of Teachers of ...

Olinthus Gregory - 1840 - 188 páginas
..." y ' since each has the same ratio to unity. (h.~) When four numbers are direct proportionals, the product of the extremes is equal to that of the means. Thus: — __ ad C whence the rules of propor6 1 tion in arithmetic. [Let it be remarked that the ordinary...
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The first principles of algebra, for the use of the boys of the Royal ...

Admiralty - 1845
...That is, if a : b and c : d be two equal ratios, as represented by the numerical equation — = — ; then a is said to be to b, as c is to d ; or f> d a, b, c, d are proportionals. This proportion is expressed either by a:b::c:d,ora: b=c :...
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The Speedy Calculator: Being a System of Arithmetic

Benjamin Naylor - 1850 - 324 páginas
...extreme terms, and the second and third are called the means. If four numbers be in proportion, the product of the extremes is equal to that of the means. Thus, 4, 7, 12, 21, are proportionals, and Extremes. Means. 21x4=12x7 If we have three terms of a proportion...
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Arithmetic, algebra, differential and integral calculus, by W. Rutherford ...

Royal Military Academy, Woolwich - 1853
...95. The order of the terms of a proportion may be changed, provided that in the new arrangement the product of the extremes is equal to that of the means. Thus in the proportion 2 :,'!:: l<> : 15, the following arrangements may be made : — 2 : 3::10 : 15 2...
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The course of arithmetic as taught in the Pestalozzian school, Worksop ...

J L. Ellenberger - 1854
...several ways, without altering the proportion. The test of all these transformations will be that the product of the extremes is equal to that of the means. Thus, since 6 : 9 = 8 : 12, or ............ t=T8r. it follows that 6 : 8 = 9 : 12\ / $ = T»T, or 12 : 9...
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Moffatt's pupil teachers' course (ed. by T. Page). Candidates, 2nd (-4th) year

Moffatt and Paige - 1879
...are called the extremes, and the second and third the means. When four numbers are in proportion, the product of the extremes is equal to that of the means. Thus in the proportion — 8 : 16 :: 9 : 18 we find that 8 X 18 = 16 x 9 = 144. In the proportion — 9:6::...
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