 | 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... | |
 | 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
...RECIPROCAL PROPORTION. 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,... | |
 | 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... | |
 | 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\ proportional,... | |
 | William Nicholson - Natural history - 1819 - 394 pages
...geometrical proportion. 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. Thus 2, 3, 6, are in harmonicaI proportion, because 2 : 6 :: 1 : 3. And the four... | |
| |
WHEN three numbers are such that the first is to the third, as the difference of the first and second is to the difference of the second and third, they are said to be in HARMONICAL PROPORTION, and a series of numbers in continued harmonical proportion,... 
