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# Title: [Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica (shelfmark Leibn. Marg. 166)
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IIHIIIII
PRINCIPTA MATHEMATICA.
Scholium.
Caererum haec Propositio de Superiores, qua ad Media inaequali-
ter denta spectant, intellisende lunt de motu corporum adeo par-
vorum, ut Medii ex uno corporis latere major densitas quam ex al-
cero non consideranda veniat. Rehiltentiam quoque eaeteris paribus
denlitati proportionalem ense suppono. Vnde in Mediis quorum
vis relstendi non est ut densitas; debet densitas eo ulque augeri vel
diminuis ut relstentiae vel tollatur excectus vel defectus suppleatur.
PROPOSITIO ZVIL PROBLEMA WV.
invenire ex vim centripetam e Medii resistentiam qua corpus
in data Spirali, data velocitatis Lece, revolvi potest.
Sit Spiralis illa P GR. R.X velOCIFATE qUd CONPUIS PCrCUExIE aF-
cum quam minimum F D dabitur cempus, ex ex alticudine F
quae est uc vis centripeta ec quadratum cemporis, dabitur vis. DC-
inde exarearum, aequalibus cemporum particulis contectarum F S6)
e O)SR, differentia RSr, dabitur corporis recardatio, _ ex re-
cardatione inrenietur resistentia ac densicas Medii.
PROPOSITIO XVIII. PROBLEMA V.
Data Lere vis centripetae, invenire Medii densitatem in locis sin-
rulis, qua corpus datam Spiralem describet.
Ex vi centripeca inrenienda est velocitas in locis singulis, de-
inde ex velocitaris retardatione quaerenda Mledii densicas: ut in
Proposicione superiore.
Mlechodum vero tractandi haec Problemata aperui in hujus PrO-
Politione decima, ex Lemmare secundo; ex Lectorem in hujusmodi
perplexis disquisitionibus diucius derinere nolo. Addenda jam
sune aliqua de riribus corporum ad progrediendum, deque densi-
tate e resistentia Mediorum, in quibus motus hactenus expolici et
his aHAnES DETaBUNEUE.
54CL.
LEDER
SECUADOE.
NTNMLHIHMMHTIHEHNIEIIMTEMMBMEIIIIHBIMII