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# Title: [Christiani Hugenii Zulichemii, Const. F. Horologium Oscillatorium. Sive De Motu Pendulorum Ad Horologia Aptato Demonstrationes Geometricae] Christiani Hvgenii Zvlichemii, Const. F. Horologivm Oscillatorivm. Sive De Motv Pendvlorvm Ad Horologia Aptato Demonstrationes Geometricæ (shelfmarks Leibn. Marg. 70; ZEN Leibn. Marg. 70)
# Folio 149, page id 799199311:0165
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HTOROLOG. OSCILL ATOR.
149
dem ponatur quae iplius rirsx. Ouaericur jam, quo loco hoc rirga D ceUERO
d3CLL
imponendum, uc uno scrupulo primo acceleretur horologii Mo- ZLOVIS.
cus, spario 24 horarum. Item, ubi collocandum, ut duorum lcrupu-
lorum primorum sic acceleratio; ILCM, UE EVIUM, GUAEHIOE, aEque
Ita POrTO.
Ductis riginti quatuor horis lexasies, hunt 1440, quot nempe
Ecrupula primauna dic continentur. Ex hisunum auter, quando
unius (crupuli accelerario quaeritur: Supertune +439. Racio autem
1440 ad 1439 duplicata, proxime elt ea quae 1440 ad 1438. FrgO, (I
penduli simplicis, sccunda scrupula nocanris, longitudo divila
intellisatur in parres aequales 1440, carum que 1438 alii pendulo
tribuantur, hoc prxceder alcerum illud, in 24 horis, uno scrupulo
primo. Adcouchicp valeat partcs 1438.
Duia aurem pendulum horolosii, ex rirga imccallica ae pon-
dere appenso compolicum, ilochronum ponitur pendulo Tim-
Plici partium 1440; invenienda primum elt virgx illius longicu-
= a b - F ac
do, ex xequatione luperius polica. Frat nempe
-+c
aequale longi.
cudini penduli simplicis, quodilochronum compolito ex rirga ha.
bencelonsitudinema, sraritarem b, et pondere aftixo cujus gravi-
tas c. Ergo si lonsitudo penduli simplicis ilochroni dicatur s. Fric
=bs -+ Cs
b -+c
 a. Positoque, urhic, c ∞ 50; b d t; s x 1440; het a n
1444  longitudo virge.
Tam, quia Cratf x : p - + Vel - V = er - ; ab p + acp. = aab. aac ACF f 3
P - + vel - V: pp - + 72962 p - 105061220. Vnde porro, si p
sic, uti diximus, parcium r438; invenietur f x 133C=, qualium
nempes. Ccu pendulum limplex, sccunda scrupula olcillationibus
designans, continet r+40. Cujus longitudo si pedum erium Catua-
cur, quoshorarios rocarimus, habebir funcias 33, e3 unciarum
uncias, quaslincasrocant. Vel, auterendo hanc longicudinem fa
corarrium pedum lonsicudine, supereruntuncix dux, linex 9, a
centro olcillationis penduli composiri Turlum lumendae, ut ha-
beatur locus ponderis D, unius scrupuli primi accelerationem
Praltans cempore 24 horarum. Fodem modo reliquas distantias,
quibus virga dividenda est, calculo inrestigarimus, aliam arque
aliam ponendo longicudinem p: ealque subjecta rabella exhibe-
id