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# Title: [Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica (shelfmark Leibn. Marg. 166)
# Folio 288, page id 1041163592:0322
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288
PTTILOSOPEISE NATDRALIS
DE Moro Rentiam Elis quae certe permagna erac, ac de pendulorum inventa
coneonon resistentia lubduci debet. Ilanc accurare detinire non potuis sed
majorem tamen inveni quam parrem cerriam resistentiae totius mi-
noris penduli, ex inde didici quod resistentix Globorum, dempta
Sili resistentia, sunt quam proxime in duplicata ratione diametro-
rum. Nam Fatio 73 = 3 2d F - 3, seu TO: ad T, non longe abest a
diametrorum ratione duplicata 1125 ad 1.
Cum resictentia sili in Globis majoribus minoris sc momentis
tentari etiam experimentum in Globo cujus diameter erat 183 di-
Bitorum. Lonsicudo penduli inter punctum suspensionis ec cen-
crum olcillacionis crac disitorum 1222, inter punctum suspentionis
ec nodum in silo 1092 dis. Arcus primo penduli descentu a no-
d0 delcripeus, 32 dig. Arcus ascensu ultimo post oscillationes
quinque ab eodem nodo descriptus, 28 dig. Summa arcuum seu
arcus torus oscillatione medioeri descripeus, 60 dig. Disterentia
arcuum 4. dig. Ejus pars decima seu differentia inter descensum de
alcensum in oscillatione medioeri = dig. VF radius 1092 ad radi-
um 12233 ita arcus eorus 60 dig. Oscillatione medioeri a nodo de-
Scripeus, ad arcum totum 675 dis. Oscillatione mediocri a centro
Globi descripeum: e ita differentia 5 ad differentiam novam 0, 4475.
Si Ponsicudo penduli, manence lonsitudine arcus descripeis augere-
cur in ratione 126 2d 2222; tempus olcillationis angeretur ec relo-
citas penduli diminueretur, in ratione illa subduplicata, maneret
vero arcuum descensu e sublequente alcensu descriptorum dise-
rentia 0,4475. Deinde A arcus descriprus augeretur in ratione
2243 2d675, differentia ista 0,4475 augcrecur in duplicata illa ra-
tione, adeoque craderet 2,5295. Flxc ita se haberent, ex hy-
pothesi quod resistentia Penduli esset in duplicata ratione velo-
citatis. Freo si pendulum describeret arcum torum 1245 di-
sitorum, ec lonsitudo ejus inter punctum suspensionis ex cen-
erum oscillationis enet 126 digitorum, difterentia arcuum de
scensu e sublequente aCcensu descriptorum FOrCE 1,5295 digito
rum. F.F haec disterentia ducta in pondus Gilobi pendulis quod crat
unciarum 208, producir 318, 136. Rursus ubi pendulum superius
ex Cilobo lioneo constructum, centro oscillationis, quod a puncto
suspensionis divitos r26 distabat, describebat arcum cotum 1243
digicorum, difterentia arcuum descentu ec ascensu deseriptum fuie
26 in = quae ducta in pondus Globi, quod erat unciarum 57 223
121
d
Producit 49,396. Duxi autem differentias hasce in pondera Glo-
borum ue invenirem eorum relistentias. Nam differentix ori-
UntUE