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# Title: [Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica (shelfmark Leibn. Marg. 166)
# Folio 338, page id 1041163592:0372
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338 PHTLOSOPMIA NATORALIS
D MorD in c. ITac lesc punctum quodris F, cundo ab F
Conronon per c ad es ec inde redcundo per c ad F, iildem
accelerationis ac recarclationis gradibus vibratio-
nes singulas perager cum olcillance Pendulo. Pr0-
bandum est quod singula Medii puncta Phylica
cali mocu agicari debeant. Fingamus igitur MO.
dium tali motu a caula quacunque cieri, ee vider.
mus quid inde sequatUr.
In circumterentia P _SB capiantur aequales ar-
cus LXL, IK vel hi, il, cam habentes rationem
ad circumterenciam tocam quam habent aequales
rectae P F, FC ad pulsuum incervallum eocum
BC. EE demissis perpendiculis YM, X N vel
im kn; quoniam puncta L F, G motibus simili
buS SuCCesIre AGIFANEUT, _E VibraLIONCS SUaS iNFCOFAS
ex Itu _ rediTu COMPOSICAS InFeFCA peraGUNE duM
pulsus transtertur a B ad C;
(I F F vel P YSB AE cem
pus ab inicio mocus puncti
F, Crit F Y vel F ASi cem
pus 2b inicio mocus puncti
F, _ F R vel F FISk tem
Dus ab inicio motus punet
G; EE PTOPECrCA PE, FP
G crunt ip(S F L, F M
PN in itu punctorum, vel
ipSIS PB P m, Fn in punctorum reditu;
jua.
les respectire. Inde cy Teu F G L G y = F
in itu punctorum aequalis erit F G = L NV, in re
dieu autem aequalis FG = M. Sedt er laciendo est
Teu expansio partis Medii F G in loco cy; 8c
propterca expansio partis illius in icus est ad ejus
expansonem medioerem, ut FG = P NV ad FG;
in redtitu aucem UE F, G F In (CU F C L F N ad
P.G. Ovare CUM SIE L N ad RTY uE TM 2d
radium O F, _E RTI ad F. C ut circumferentia
PFSBF ad BC, id CA (A PONATUE V PEO Pa-
dio circuli circumferentiam habentis aequalem in-
terrallo pulsuum BC) uE OF ad V; de CX X-
quo L N ad F G, ut YM ad V: crit expansio
Parris PO punctire Physici F in lococ7, ad ex.
Danion