 | Samuel Webber - Mathematics - 1808 - 466 pages
...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 - Natural history - 1809 - 700 pages
...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. Or, four... | |
 | Edward Augustus Kendall - Encyclopedias and dictionaries - 1811 - 516 pages
...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
...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
...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... | |
 | John Mason Good - 1819 - 694 pages
...(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
...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 - 394 pages
...proportion or musical proportion, is that in which the first term is to the third, as the difference of ihe first and second is to the difference of the second and third; or wlu-n the first, the third, and the said two differences, are in geometrical proportion. Or, four... | |
 | James Maginness - Arithmetic - 1821 - 378 pages
...or the lengths of strings sounding musical notes; and of three numbers it is, when the first is to the third, as the difference between the first and second, is to the difference between the second and third, as the numbers 3, 4, and 6; for 3 : 6 : : 4 — 3 : 6 — 4. If the lengths... | |
 | Beriah Stevens - Arithmetic - 1822 - 436 pages
...or the lengths of strings sounding musical notes ; and of three numbers it is, when the first is to the third, as the difference between the first and second is to the difference between the second and third, as the numbers 3, 4, 6. Thus, if the lengths of strings be as these numbers,... | |
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Three lines are in harmonical proportion, when the first is to the third, as the difference between the first and second, is to the difference between the second and third ; and the second is called a harmonic mean between the first and third. The expression... 
