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# Title: [Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica (shelfmark Leibn. Marg. 166)
# Folio 302, page id 1041163592:0336
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302
PHITLOSOPMILA HATORALIS
DEMOrD Corol. 6. EF motus Clobi cum ejus resistentia sic exponi porest.
Sic AB tempus quo Cilobus per relistenciam suam unitormiter con
cinuatam eocum suum motum amiE-
cere porect. Ad AB crisanEuF Per-
pendicula 2D, BC. Sicque BC
inotus ille tOtuS, ec per punctum C
ACymPtotis D, AB describatur
Fyperbola CF. Producatur AB ad
punctum quodris C. Prisatur per
Pendiculum P F Elyperbolie Occur-
rens in F. Compleatur parallelo
orammum CBF. (, ec a8atur AF
ipI BC Occurrens in II. EE Si Cilobus tempore quoris BF, motu
luo primo BC uniformiter continuato, in Medio non retiltente de
Scribat spacium C B P. G per aream parallelogrammi expositum, idem
in Medio refistente describet spatium CBF F per aream PJyper-
bolae expolicum, e motus ejus in fine temporis illius exponetur
per Ayperbolae ordinacam LF, amilla motus ejus parre FG. EE
resictentia ejus in fine temporis ejuldem exponetur per longitudi-
nem BFI, amissa resistentix parte C. II. Pacent haec omnia per
Corol. 1. PrOP. V. LIb. II.
Corol. 7. Flinc A GlObuS tempore T per resictentiam R unifor-
nicer continuatam amittat motum suum tocum M: idem Globustem
Poret in Mediorelistente, per relltentiam R in duplicata relocitatis
TaTIONC dECTCICENtEM, AMIELEL MOtuS sui UL Partem. F
TM
eo manente
Parte ee deseribet spatium quod sit ad spatium moru uni-
Formi M eodem tempore + deseripeum, ut Logarichmus numeri
I +
 mulciplicatus Per numerum 2,302585092994 CA ad nume
rum. . Nam arca FIyperbolica BC FF est ad rectangulum
BCGF in hac proxortione.
Scholium.
In hac Propolitione exposui resistentiam de retardationem PrO-
jectilium Sphaericorum in Mediis non continuis, ex octendi quod
haec relistentia sic ad rim qua torus Clobi motus rel colli posit ret
generari
lORPORVI