 | George Crabb - Industrial arts - 1823 - 704 pages
...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 - Geometry - 1830 - 584 pages
...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,... | |
 | Mathematics - 1835 - 684 pages
...same manner, also, three magnitudes of any other kind are said to be in harmonical progression, viz. when the first is to the third as the difference of the first and second to the difference of the second and third ; and the terms harmonical mean and third harmonical progressional... | |
 | James Thomson (LL.D.) - Arithmetic - 1837 - 296 pages
...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 - Geometry - 1837 - 410 pages
..., 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 - Algebra - 1840 - 216 pages
...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 - Algebra - 1840 - 634 pages
...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... | |
 | Pliny Earle Chase - Arithmetic - 1844 - 246 pages
...constitutes a TABLE OF LOGARITHMS. CHAPTER XIX. HARMONICAL PROGRESSION.* WHEN three numbers are such that the first is to the third, as the difference of the...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,... | |
 | Pliny Earle Chase - 1844 - 258 pages
...OF LOGARITHMS. CHAPTER XIX. HARMONICAL PROGRESSION* WHEN three numbers are such that the first is lo 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,... | |
 | William Watson (of Beverley.) - 1844 - 200 pages
...lproport 士 on ， theL Four quantities are in harmonical proportion, when the first is to the fourth ㏄ the difference of the first and second is to the difference of the third and fourth・ Ifthe ぬ u ヰ qu れ nti 杜 e8 ぬ の & ， の 巳 口 dd ， then or, the... | |
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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,... 
