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# Title: Phoronomia, Sive De Viribus Et Motibus Corporum Solidorum Et Fluidorum Libri Duo (shelfmark Leibn. Marg. 182)
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A P P F N D I X.
Tibro cui ciculum fecie F say d’une NTouvelle Theorie de la Manceuore
des Vaisseaux.
VI. De sublimitate cravitatis difformis, qua projectilia sectiones co-
nieas in vacuo describunt. Ouoniam mobile perimetrum alicujus se-
ctionis coniex AGa delcribens citatur Colicitationibus, quae quadea-
tis distantiarum mobilis a centro lunt reciproce proportionales, (cala
harum Colicitationum CrB crit srperbola quadratica, cujus applica-
Exe TTO; AB, quae Colicirationem graritatis in II ec A exponunt,
quadratis absCINTArUM DFI, D A sunt reciproce proportionales, Cen- FIB. 153.
tro lrperbolae existente in D. Ouaritur jam quantam aAtUmCrCOPOI-
ceat sublimitatem, hoc est, lineam FTA talem, ut in ca delcendens
grare motum à quiere in HI incipiens, et Solicitationibus, quas ordi-
natae hrperbolae in quadrilineo TICBA exDomine, celcritatem ac-
quirat in A, cum qua propulsum mobile, secundum lineam A0 2l-
Feri BA in directum positam, datam sectionem conicam AOa in
racuo describat.
POnItuE punCtuM A PTO AIECTUErA apSIde, AC PTOPECFCA DA CriE
sectioni perpendicularis in A, acque adeo hoc punctum A alteruter
vertex erit lectionis conicae AOa, e radius curritatis in A aequa-
bitur : L, id est, semilateri recto sectionis conicx, e Solicitatio Cur-
va in A normalis ex centrali AB derirata eadem eric cum hac cen-
trali; idcirco indicando celeritatem mobilis in puncto A, per V, vi
5. 254. habebitur V2 = :L. AB. Atqui eadem relocitas V, Sed (se-
cundum Aypothesin) descensu in FIA acquisita, exponitur etiam
(5. 236.) latere quadrato ex duplo areae ITGBA, ergO V2 = 2. TIOBA,
acqui AIIOB = AD. AB -- TID. IIC, ergo etiam ; L. AB = 2AD.
AB - 2TID. FIC, vel propter hyperbolam, subrogando loco AB et
FTC carum proportionalia guadrata FTD, AD, ACE : L. IID = 2AD.
AID= = ETID. AD = 2ITD. AD. TTA, hinc etiam I. IID = 4. TIA.
AD, vel L. Aa. TID = 4 Aa. TIA. AD. Verum exconicis est 4O-
L. Aa = AD. Ad, erSO +AA. TIA. AD = + AD. Ad. IID, id CA, Aa.
TIA = Ad. FID, eE FID: TTA = Aa: Ad. e diridendo, AD: TTA =
AD (vel ad): Ad, PEOpFerCa CA FTA = Ad, atque adeo TID = Aa.
Est ereo sublimitas in sectionibus conicis aequalis distantiae apsidis remo-
tioris a centro solicitationum, a foco ejus propiore. Ilinc raria deduci
Dolsunt, quorum nonnulla sequuntur.
P. Uni cidemque sublimitati FTA conrenire quidem possunt in-
Anicae sectiones conicx AOa; cum eadem manente Ad distantia Fo-
corum aD Dostit esse magnicudinis cujuscunque; Sed hon ideo una
C