Huygens, Christiaan, Christiani Hugenii opera varia; Bd. 2: Opera geometrica. Opera astronomica. Varia de optica

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520754CHRIST. HUG. NOV. CYCL. HARMON. 0,1747425011, exhibet quantitatem Quintæ Temperamenti.
Pariter differentia Logarithmorum 3 & 2 quæ in tabulis
Logarithmorum habetur 1760912594, exhibet quantitatem
Quintæ perfectæ;
hinc ſubſtraho Quintam Temperamenti in-
venti &
reſtat 13487583; id quod debet dare Log. {1/4} Com-
matis;
& hoc verum eſt; nam log. Commatis toni id eſt
differentia logar.
81 & 80 eſt 53950319, cujus Quarta pars
eſt 13487580.
Si velimus examinare an Quævis Quinta novæ
diviſionis ut Re, La, differat a vera {1/4} minus {1/110} Commatis;
debemus a Log. Re, qui eſt 4,9514467743, ſubſtrahere Log.
La, qui eſt 4,7766551643, reſtat 1747916100, quem ſub-
traho a Logarithmo veræ Quintæ qui erat 1760912594, reſtat
12996494, qui minor eſt Log.
Quartæ partis Commatis, ſcili-
cet 13487580;
a quo igitur eum ſubtraho & reſtat 491086:
Debemus nunc videre, quam partem Commatis hoc faciat;
id-
circo divido Log.
Commatis, ſcilicet 53950319 per 491086,
quotiens eſt fere {1/110}, Ita ut pateat, noſtram Quintam non ſu-
perari {1/4} Commatis a Quinta perfecta, ſed {1/110} Commatis de-
eſſe.
Eodem modo poteſt examinari quidquid ſpectat Tempe-
ramentum;
nihil enim in computationibus Muſicis inſtituen-
dis Logarithmorum uſui anteponendum.
FINIS.
230[Figure 230]

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