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Or, four terms are in harmonical proportion, when the first is to the fourth as the difference of the first and second is to the difference of the third and fourth.
A Treatise on Plane Co-ordinate Geometry as Applied to the Straight Line and ... - Página 304
de Isaac Todhunter - 1862 - 326 páginas
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## Mathematics: Compiled from the Best Authors and Intended to be the ..., Volume 1

Samuel Webber - 1801
...to the difference of the second and third, 33 the first is to the third ; and, in the latter, when the difference of the first and second is to the difference of the third and fourth as the first is to the fourth. Thus, 2, 3 and 6 ; and 3, 4, 6 and 9, are harmonical...
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## A Course of Mathematics ...: Designed for the Use of the Officers ..., Volume 2

Isaac Dalby - 1806
...b. If 3 numbers are in musical proportion, the first wilt he (o the third, as the difference between the first and second, is to the difference of the second and third. Let the first number be i ; Then the second will be * + a; And the third ............ i +«+/.. Whence,...
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## Mathematics, Volume 1

Samuel Webber - 1808
...: : 3 : 9. Three or four numbers are said to be in harmonical proportion, when, in the former case, the difference of the first and second is to the difference of the second and third, as the first is to the third ; and, in the latter, when the difference of the first and second is to...
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## The British encyclopedia, or, Dictionary of arts and sciences, Volume 3

1809
...same with concord. HARMONICA!, proportion, or muñcal ртеportion, is that in which the first ten» is to the third, as the difference of the first and second is to the difference of Uie second and third ; or when the first, the third, and the said two differences, are in geometrical...
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## The British Encyclopedia: Or, Dictionary of Arts and Sciences ..., Volume 3

William Nicholson - 1809
...geometrical proportion. Or, four terms are in harmonical proportion when the first is to thcfotutk as the difference of the first and second is to the difference of the third and fourth. Tha 2, 3, 6, are in harmonical proportion, becanse 2 : 6 :: 1 : S. And the four terms...
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## Pocket Encyclopedia: Or, A Dictionary of Arts, Sciences, and ..., Volume 3

Edward Augustus Kendall - 1811
...the ordinary operation* of the musical art. HARMONICAL proportion, is that in which the first term is to the third, as the difference of the first and...second, is to the difference of the second and third :-thus 2, 3, 6 are in harmonical proportion, because 2 : 6 : : 1 : 3. In four terms the 1st is to the...
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## A pocket encyclopædia, or library of general knowledge

Edward Augustus Kendall - 1811
...the ordinary operations of the musical art. HABMONICAL proportion, is that in which the first term is to the third, as the difference of the first and...second, is to the difference of the second and third : thus 2, 3, 6 are in harmonica! proportion, because 2 : 6 : : 1 : 3. In four terms the 1st is to the...
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## A System of Arithmetic

Samuel Webber - 1812 - 248 páginas
...to the difference of the second and third, as the first is to the third ; and, in the latter, when the difference of the first and second is to the difference of the third and fourth, as the first is to the fourth. Thus, 2, 3, and 6 ; and 3, 4, 6, and 9, are harmonical...
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## An Easy Introduction to the Mathematics: In which the Theory and ..., Volume 2

Charles Butler - 1814
...HARMONICAL PROPORTION. 86'. Three quantities are said to be in harmonical or musical proportion, when the first is to the third, as the difference of the first and second to the difference of the second and third j und four terms are said to be in harmonical proportion,...
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## Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory, and N ...

...part, contrajisiure (Winetnan). COXTRA-I-IARMOXICAL PROPORTION', tliat relation of three terms, wherein the difference of the first and second is to the difference of the second and third, as the third is to the first. To CONTRAINDÍCATE, va (contra and indico, Lat.) To point out some peculiar...
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