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# Title: [Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica (shelfmark Leibn. Marg. 166)
# Folio 3, page id 1041163592:0037
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eRINOIPIA MATHEMATICA.
actus, a circumasente manu abire conatur; ex conatu suo Fundam DEFINI
distendit, coq. Fortius quo celeriusrevolritur; ec quamprimum di- PIONES
mittitur, arolat. Vim conacui illi contrariam, qua funda lapidem
in manum perpetuo retratue es in orbe retinet, quoniam in manum
ceu orbis cenerum dirigitur, Centripetam appello. Ec par eA ratio
COTDOTUM OMMIUM, QU IN GYPUM ABBHEUE. COMAMEUE Ca OMMIA d
centris orbium recedere; ec nili adut ris aliqua conatui ilti contra-
ria, qua cohibeantur ex in orbibus recincantur, quamque ideo Centri-
vecam appello, abibunt in rectis lineis unitormi cum motu. PFO-
jectile, si vi Gravicatis destitueretur, non defecteretur in terram, sed
in linea recta abiret in caelos; idque unitormi cum motu, si modo
aeris relictentia tolleretur. Per gravitatem tuam retrahitur a cursu
rectilineo ex in cerram perperuo Aectitur, idque magis vel minus
pro gravitate sua ex velocitate motus. Duo minor crit ejus gravitas- pro quantisaice
vel major velocitas quacum projicitur, co minus deviabie a cursu
rectilineo et longius perset. Si Cilobus plumbeus, data cum velo-
citare secundum lineam horizontalem a montis alicujus verrice vi
Dulreris cormentarii projectus, pergeree in linea curra ad dictanciam
duorum milliarium, priusquam in cerram decideret: hic dupla cum
velocitare quasi duplo longius pergerct, et decupla cum velocitare
quasi decuplolonoius: Si modo aerisresistentia tolleretur. R. F augendo
velocitatem augeri posset pro lubitu distantia in quam projiceretur,
ec minui curvatura lincae quam describeret, ita ut tandem caderet
ad diltantiam graduum decem reltrisinta vel nonaginca; vel etiam
uc terram totam circuiret priulquam caderet; vel denique uc in
terram nunquam caderet, sed in caelos abiret de motu abcundi per-
geret in infinitum. Ec eadem ratione, qua Projectile vi graritatis
in orbem Accti posset ec terram totam circuire, potest ee Luna vel
vi graricacis, s modo graris (ic, vel alia quacunque ri, qua in cex-
ram urgeatur, retrahi semper a curtu rectilinco cerram vertus, de
in orbem suum Recti: ex absque tali vi Luna in orbe suo retineri
non potest. Hlaec vis, si justo minor eset, non Paris Aceteret L unam
de curtu rectilineo: (i justo major, Dlus latis Aecteret, ac de orbe
cerram vertus deduceret. Requiritur quippe, uc sic justae magnitudinis:
ee Machematicorum est invenire Vim, qua corpus in dato quoris
orbe data cum velocitare accurare retineri postit; ec vicissim inve-
nire Viam currilincam, in quam corpus c dato quoris loco data
cum relocitate corestum a daca ri Aectatur. P. A autem vis hujus cen-
cripetae Ouanticas erium generum, Absoluta, Acceleratrix, de Mocrix
matoride