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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... "
The Elements of Arithmetic ... in which Decimal and Integral Arithmetic are ... - Σελίδα 136
των Pliny Earle Chase - 1844
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Mathematics: Compiled from the Best Authors and Intended to be the ..., Τόμος 1

Samuel Webber - 1801
...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...

A Course of Mathematics ...: Designed for the Use of the Officers ..., Τόμος 2

Isaac Dalby - 1806
...b. If 3 numbers are in musical proportion, the first wilt he (o the third, as the difference between the first and second, is to the difference of the second and third. Let the first number be i ; Then the second will be * + a; And the third ............ i +«+/.. Whence,...

Mathematics, Τόμος 1

Samuel Webber - 1808
...: : 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...

The British encyclopedia, or, Dictionary of arts and sciences, Τόμος 3

William Nicholson - 1809
...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...

The British Encyclopedia: Or, Dictionary of Arts and Sciences ..., Τόμος 3

William Nicholson - 1809
...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...

Pocket Encyclopedia: Or, A Dictionary of Arts, Sciences, and Polite ..., Τόμος 3

Edward Augustus Kendall - 1811
...ordinary 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 the 1st is to the...

A pocket encyclopædia, or library of general knowledge, Τόμος 3

Edward Augustus Kendall - 1811
...ordinary 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 the 1st is to the...

A System of Arithmetic

Samuel Webber - 1812 - 248 σελίδες
...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...

The Elements of Algebra: Designed for the Use of Students in the University

James Wood - 1815 - 305 σελίδες
...of a, b and c. (380.) Three quantities are said to be in harmanical proportion, when the first is to the third, as the difference of the first and second is to the difference of the second and third. Any magnitudes A, B, C, D, E, &c. are said to be in harmonieal progression, if A : C :: A— B : BC,...

Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., Τόμος 3

John Mason Good - 1819
...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...




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