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# Title: Phoronomia, Sive De Viribus Et Motibus Corporum Solidorum Et Fluidorum Libri Duo (shelfmark Leibn. Marg. 182)
# Folio 83, page id 1066518432:0111
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es
2d
DE VYRZBUS ET MIOTFBUS CORBORUM. LIB. I. 83
Ponatur grare delaplum esse per arcum currae BF A motum a
quiete in B incipiendo; atque Lc elementum esse currae AL, Per
cujus terminum e deleriptus centro O arcus eV axi occurrat in V.
per quod punctum ducatur ordinata Vr in curra ARD, atque su-
per hujus currae basi CD deseripto quadrante circuli CDIK, per
puncta R, r agantur RI, ex ri circulo occurrentes in L, i, ejus-
que radio DP in punctis P, p, ductaque per L lincola l0 Paralle.
la CD, junsantur denique CL, Ci. Ouibus politis
I. Ouia (secundum hrpothe(in) CD = 2. AC ChaA, _ IIR =
2. AFThaA, crit CD =FIR, hoc CA CD =OP., vel CP -CP.
id est IP = 2. CTThgC = 2. AC ChaA -2. ATThAA, ergO IP =
Y (2. CTTHSC) Item quia (sccundum hypothesin) AF: IIK =N: T,
Crit AF = N. IIR, adeoque RC =N. Pk = N. Pp = II. 10.
II. Supra (5. 136.) octensum, eandem vel aequalem acquirere ce
leritatem duo mobilia pondere et malsa aequalia in duobus punctis
L, HI centro O aequidistantibus, E ex punctis pariter aeque altisB,
C’unum in curra BF. A alterum que in recta CA à quiete moveri
caeperint, atque spatia BF. ex CHI descriplerint. Et vocando cor-
Poris A mallam per hanc eandem literam A, celeritas acquilita in
HI ex descensu per CHI, vel in P. ex descentu per BF (5. 24 4.)
CrIt Y (2. CFIHC): VA, CCu (num. P hujus) = IP: vA. Unde, quia
(num. Y) FC = NP. T0 atque spatiolum Ec applicatum ad velocita-
tem qua percurritur, denotat tempus quo absolritur seu tEC, crit
propterea cEC = IV. TO. V (A): TP. Atqui propter triansuila cimilia
CIP, et Tio, ratio I0ad IP aequalis eA rationi li: CL, hoc CA (5. 129.)
angulo TCi; idcirco tRC =W. VA. ang. TCi: ergo omn. tlc, hoc
cA, EBF = IV. VA. omn. TCi Tcu TCD, atque adco tBF =N. VA.
ang. ICD. X EBE A = N. VA. anG. KCD.
TTI. Si jam mobile non amplius in B, Sed in alio quocunque cur-
rae puncto P descensum incipiat; centro O per hoc punctum L
ducatur circulus FC et per C ordinata CO Currae ARD OCCUErONS
in puncto 2 Per quod agatur ON axi AC paraltela ac denique ra-
dio CN descripto quadrante MIN, junsatur VC; atque hisce
politis eodem quo in antecedente numero, conticitur argumento
existere FFF = N. VA. ang. LCN. Cogitatione tua abscinde vet
anter tocum spatium, quod cst inter lineas mixtas BOD et FC
ac quadrantem MCN admore pariter ordinatae (5Q, ec hac ratio-
ne hunc casum, quomobile ex t descendere incipit, reducis praeci-
se ad calum prxecedentem; cum APF nunc spectetur relut integra
CUP-