 | 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 proportionals ;... | |
 | 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... | |
 | William Nicholson - Natural history - 1809 - 700 pages
...A. i. HUSK A i. proportion, or nvticalprtportion, 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 , or when the first, the third, and the said two differences, are in geometrical proportion.... | |
 | William Nicholson - 1809 - 752 pages
...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... | |
 | Edward Augustus Kendall - Encyclopedias and dictionaries - 1811 - 516 pages
...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... | |
 | Edward Augustus Kendall - 1811 - 458 pages
...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... | |
 | Samuel Webber - Arithmetic - 1812 - 260 pages
...3:9. • i 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... | |
 | Charles Butler - 1814 - 582 pages
...and second to the difference of the second and third ; and four terms are said to be in harmonical proportion, when the first is to the fourth, as the difference of the first and second to the. difference of the third and fourth. Thus, if a : c :: a—b : b—c, then are the three quantities,... | |
 | William Nicholson - Natural history - 1819 - 394 pages
...third, and the said two differences, are in geometrical proportion. Or, four terms are in harmonical proportion, when the first is to the fourth as the...is to the difference of the third and fourth. Thus 2, 3, 6, are in harmonicaI proportion, because 2 : 6 :: 1 : 3. And the four terms, 9, 12, 16, 24, are... | |
 | William Nicholson - Natural history - 1819 - 426 pages
...nf its surface." CONTRA harmonicalpropoitim,\n arithmeiic, is thr relation ut three t<;nns, wherein the difference of the first and second is to the difference of the second anil third as the third is :o the iir*i : thus, 3, 5, anii 6, are numbers coiitia-harinoiucall\... | |
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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. 
