 | William Nicholson - 1819 - 424 páginas
...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 - 1819 - 426 páginas
...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 - 1819 - 394 páginas
...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... | |
 | George Crabb - 1823 - 704 páginas
...excited sound. — Harmonical or musical Proportion is that in which the first term is to the fourth as the difference of the first and second is to the difference of the third and fourth. HA'RMONIST (Mus.) a theoretical musician. HA'RMONIZED (Mus.) an epithet for melody... | |
 | Pierce Morton - 1830 - 584 páginas
...and, invertendo, D С : DA :: В С : A B. Therefore DC, DB, DA are three straight lines, such, that the first is to the third as the difference of the first discovery of these relations, by taking hartnonical means, is attributable to the simple property,... | |
 | 1835 - 684 páginas
...Harmonical Progression. Def. 17. Three straight lines are said to be in harmonical progression when the first is to the third as the difference of the first and second to the difference of the second and third.* Of three lines А, В, С, which are in this progression,... | |
 | James Thomson (LL.D.) - 1837 - 296 páginas
...overlooked. Three or four numbers are said to be in HARMONICAL PROPORTION, when the first is to the last, as the difference of the first and second is to the difference of the last and the last but one. Thus, 2, 3, and 6, are three numbers in harmonica! proportion, 2 being to... | |
 | Euclid, James Thomson - 1837 - 410 páginas
..., produce the sounds of a certain note, its fifth, and its octave ; and these lengths are such that the first is to the third, as the difference of the first and second to the difference of the second and third. By the insertion of other harmonical means between these,... | |
 | John D. Williams - 1840 - 216 páginas
...manifest. Harmonical Progression. Three quantities are said to be in harmonical proportion whenthe first is to the third as the difference of the first...second is to the difference of the second and third. Any number of magnitudes a, b, c, d, e, f, fyc. are said to be in harmonical propartion, if a And*... | |
 | John D. Williams - 1840 - 634 páginas
...manifest. Harmonical Progression. Three quantities are said to be in harmonical proportion when the 6rst is to the third as the difference of the first and...second is to the difference of the second and third. Any number of magnitudes a, b, c, d, e, f, fyc. are said to be iu harmonical propartion, if a . And... | |
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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. 
