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# Title: [Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica (shelfmark Leibn. Marg. 166)
# Folio 219, page id 1041163592:0253
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IMIIIII
DRINCIPTA MAZHEMAETCA
tione qualibet, et exponatur ratio illa per longitudinem quaots
L TBY. 1
SM. Deinde per compurationem, ex lonsitudine illa aNUMDEA SECVADVS.
DP, inveniantur lonsitudines D F, D f. ac de ratione p p. Det
calculum inventa, auteratur ratio eadem
per experimentum inventa, ec exponatur
differentia per perpendiculum M N. Idem
Fac iterum ac tertio, assumendo semper
novam resistentiae ad graritarem rationem
SM, ec colligendo novam differentiam
MNV. Ducancur aurem diferentix affirmatirae ad unam parrem
rectae SM, e negatirae ad alteram; ec per puncta NV, NV. N agatUT
curra regularis N N N secanS rectam S M M M in X, X cric SX
vera ratio resistentia ad graritarem, quam invenire oporruit. LX
hac ratione colligenda est longirudo D F per calculum; se longi-
cudo quae sic ad assumpram lonsicudinem D P; ut longitudo D F
per experimentum cognira ad lonsicudinem D F modo invencam.
erit vera longitudo D F. Oua inventa, habetur cum Curva linca
Dra F quam corpus describit, cum corporis relocitas e resisten.
eia in locis cingulis.
Scholium.
poclleno en acio alemacea lane Ltacctauo. die lacla
Caeterum, relistentiam corporum esse in ratione velocitatis, FIY.
dissime morentur. In Mediis autem quae risore omni vacant re
Sistentix corporum (unt in duplicata rarione velocicacum. Rconim
actione corporis reloctoris commumcacut etlem Medii quantitati,
cempore minore, motus major in ratione majoris relocitatis; ad
eoque tempore aequali (ob maselent eu salade Detcatoa
cam) communilacut luotus i alpcala cacione major; eligue le
lictentia (per motus LcgCa It) u ocus communicatus.
idcamus isu euates Ollantur mocus ea hac 1C8C Lclltentiae.
FCT.
C
LNTIHSIMHIENIEMAMIHBIEKSBSMIAEISBHMIB  uMBBI MIHHILII