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# Title: [Physica Demonstratio Qua Ratio, Mensura, Modus, Ac Potentia, Accelerationis Motus In Naturali Descensu Gravium Determinantur] Physica Demonstratio Qva Ratio, Mensvra, Modvs, Ac Potentia, Accelerationis Motvs In Natvrali Descensv Gravivm Determinantvr (shelfmark Leibn. Marg. 126)
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TH HATYRALI DESCEHSV CRAVIM. 3y
tempustotius delcensus, per quamcumque de-
Sionatam alticudinem determinabitur, re post-
odum ostendemus: sed prius( quod iam For-
cassis dinciuis expectas) de lpatiis aquali cempo-
re emensis dicendum, quam inter le rationem
oblcruenE.
1r. Aio vero aequalibus cemporibus, spacia de-
currimaiora lemper ac maiora inratione
dupla. Dinilo enim spario AB, per quod
Supponitur heri descensus, in partes quot.
cumque aequales, In C, D, E, F, dec. lam
ostensum est parrem secundam CD, e
prima pareis dimidiam partem inferio-
remNC, aqualirempore percurri, ee ob
cam quidem caulam, quod repars CD du
Pla est parris NC, ita relocitas quoque per
coram CD, dupla lic velocitatis pertoram
NC. Aclimili ratione ctiam eticitur, re-
locitarem pertotam DF, duplam esseve-
locitaris cius, qua habetur pertoraM CD
Sicuttora DF, dupla est ipliusCD: xequali
isicur eriam tempore CD, a DF, decur-
rutur: cademq; omminoracio estiplarum
DF, _ FK, caeterarumque omnium le pa-
riter in ratione dupla Tuperancium, vela-
L
eis manifestum est: Spatio isicur xqualibus
cemporibus ementa, e velocitaresiildem
cemporibusx qualibus acquilita, Cemper
ausentur in continua rarione dupla.
12.
Ex his porro iam illud in primis necellario
P I1
Spatia aequalibus
cemporibus cmela
incer se luncincon-
D
rinua racione du-
Pla; quemadmo-
dum ee relocitate
Equalibuscempori
bus acquisira
dupt
les sunt anac
Hc incipit Paralogismus, singula
tione
dinum.
sed non
aggregata ad
quae sunt in quadrupla
lata alt
acile intel
iles quod de duplo dici
esse falsum, nam sisemti
in
eodem rationundi modo produxu
triplum