 | D. Tierney - 1877 - 126 σελίδες
...consecutive terms in a a - bb ' a ' a + 5b Harmonic Progression, since the first term is to the third as the difference between the first and second is to the difference between the second and third. That they are three terms in Harmonical Progression is also obvious, since they are... | |
 | Elias Loomis - 1877 - 458 σελίδες
...PENCILS. 92. Def. Three quantities are said to be in harmonic 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. Thus 6, 4, 3 are in harmonic proportion, for 0:3" G— 4 : 4—3. PROPOSITION I.... | |
 | James White - 1878 - 160 σελίδες
...Bk. VI., Prop. 3 and Cor.: taking this definition of harmonic progression, the first is to the third as the difference between the first and second is to the difference between the second and third. angle contained by the straight line drawn from any point to an extremity and one... | |
 | Edward Olney - 1878 - 360 σελίδες
...SECTION V. HARMONIC PROPORTION AND PROGRESSION. 96. Three quantities are in Harmonic Proportion when the difference' between the first and second is to the difference between the second and third (the differences being taken in the same order) as the first is to the third. ILL.... | |
 | Rolla Rouse - 1879 - 400 σελίδες
...the third, and the said two differences are in geometric proportion ; or, four terms are in harmonic proportion when the first is to the fourth as the difference between the first and second to the difference between the third and fourth. (Button's Mathematical Dictionary, vol. ip 582.) 18.... | |
 | Henry Angel - 1880 - 372 σελίδες
...yz=pq*. (3). Three quantities are said to be in harmonical progression when the first is to the third as the difference between the first and second is to the difference between the second and third. Taking the numbers 10, 12, and 15, for example, they form a HP; for 10 : 15 :: 12... | |
 | Henry Angel - 1880 - 360 σελίδες
...yz=p<i". (3). Three quantities are said to be in harmonical progression when the first is to the third as the difference between the first and second is to the difference between the second and third. Taking the numbers 10, 12, and 15, for example, they form a HP; for 10 : 15 :: 12... | |
 | Edward Olney - 1880 - 354 σελίδες
...SECTION V. HARMONIC PROPORTION AND PROGRESSION. 90. Three quantities are in Harmonic Proportion when the difference between the first and second is to the difference between the second and third (the differences being taken in the same order) as the first is to the third. ILL.... | |
 | James Mackean - 1881 - 510 σελίδες
...terms, and also to infinity 1 217. Geometrical Progression is sometimes called Equirational Progression. difference between the first and second is to the difference between the second and third, — the differences being taken in the same order. Thus, 3, 4, 6, 12 are in Harmonical... | |
 | Chambers W. and R., ltd - 1882 - 618 σελίδες
...concordant : recurring periodically.— Harmonic Proportion, proportion in which the first U to the third as the difference between the first and second is to the difference between the second and third, as in the three numbers a, 3, and CL — adv. Harmonically. Harmonics, har-mon'iks,... | |
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C = 2^V 10. Four quantities are in harmonical proportion, when the first is to the fourth, as the difference between the first and second is to the difference between the third and fourth. 
