 | Mathematics - 1801 - 446 pages
...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... | |
 | Samuel Webber - Mathematics - 1808 - 466 pages
...: : 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... | |
 | William Nicholson - 1809 - 752 pages
...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... | |
 | William Nicholson - Natural history - 1809 - 700 pages
...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... | |
 | Edward Augustus Kendall - Encyclopedias and dictionaries - 1811 - 516 pages
...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... | |
 | Edward Augustus Kendall - 1811 - 458 pages
...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... | |
 | Samuel Webber - Arithmetic - 1812 - 260 pages
...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... | |
 | Charles Butler - Mathematics - 1814 - 528 pages
...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,... | |
 | John Mason Good - 1819 - 694 pages
...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... | |
 | William Nicholson - Natural history - 1819 - 424 pages
...its surface." CONTRA harmonica! proportion, in arithmetic, is thai relation ot turi:e ti_rms, wherein the difference of the first and second is to the difference of the second and third us the third is 'o the first : thus, 3, 5, an. id. are numbers contra-harmomcall) proportional, tor... | |
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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. 
