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# Title: [Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica (shelfmark Leibn. Marg. 166)
# Folio 267, page id 1041163592:0301
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PRINBIETA MATHEMATICA
PROPOSIIIO XII. TMEOREMA XVII.
Set Fluidi cujusdam densitas compressioni proportionalis, ex partes
ejus a gravitate quadratis distantiarum suarum a centro reci-
proce proportionali deorsum trabantur: dico quod si distantiae
Sumantur in proeressione Musica, densitates Fluidi in his di-
stantiis erunt in progressione Ceometrica.
Desionet S centrum, ee SA, SB, SC, SD, SE dictantias in pro-
ressione Ceometrica. Prigantur perpendicula AFI, BI, CK, ecc
juxe sine uE Lluidi denticates in locis A, B, C, D, L, dc. de ipsius
267
L. LB F. B
DECV HVVS
Graritates Speciheae in iildem locis crun
BI CK
5 +95B95
_C. Fin-
SC has graritates uniformiter continuari, primam ab  ad B, lc.
cundam a B ad C, tertiam a C ad D, ecc. Ec lxe ducxe in altitu-
dines AB, BC, CD, DE, _c. vel, quod perinde est, in distancias
SA, SB, SC, _c. alticudinibus illis proporeionales, conticient ex-
Ponentes prestionum  BI CR
ASB dC c. Ouare cum densitates
sine ut harum pressionum summae, differentiae densitatum AYI -BB
BF - C K, dc. erunt ue summarum disterentia
Mm 2
AHI BF CR eC.
SSB Sc
GENErO