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# Title: Phoronomia, Sive De Viribus Et Motibus Corporum Solidorum Et Fluidorum Libri Duo (shelfmark Leibn. Marg. 182)
# Folio 388, page id 1066518432:0416
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A P P F N D I X.
Ducatur aequatio currae in pd, de fiet
aA-
b6
Jda = (+ aa  e)
Aqu. vero differentialis in 3xy ducta PPXBet 3a Xyy dy =
haae
6b V dX + 3aa
Eritque summa aa,
ob  pydy =  d = (+ aa + 4ee). d A -
sane qudy F 4dC. Fsujus incesralis dirita per 4. Prxbebit C=
66
Cee + :aa). A = Saace  = aa
inti t
12663
466 ~ p (rel NY)
REqui B supra inventa est, scilicet B = eA F aa
at
a
SuPra VerO CTaL dD (==
3667
Vdx) = (+ aa + ee). d A.
2aa
Et incegrando reperietur  D = (+ aa + ee). A -
raac
bb
Vydy FaC.
566 F C (vet sub-
Cituendo hujus C Valorem inVENEuM) = = iaa A - aac
aa
466) abb X 13.
Acque adeo mulciplicando aequationem Der = invenietur D =
+2bb A = iey + ; ~. y3.
In hisce Formulis omnibus A Cenificat aream ABC, unde, si va-
lores reperti licerarum B, C, D substicuantur in duabus primis
aequationibus posterioris tabellae, habebitur ralor incognitae + pro
omni sectione conica in planum ex in latus agitata tam in aëre vel
in racuo, quam intra quemlibet liquorem; li in racuo, crit e =B,
et si in aliquo liquore, cujus graritas specitica sit ad graritatem (pC-
citicam Agurx Olcillantis, ut L ad n, erit B = - 8
Ex hisce repertis Facili nesotio deduci postunt omnia, quae Ccleb.
Tac. Bernoulli tribus tabellis complexus cA in Actis ACad. RC∞.
Paril. Scient. 2703. 2d F. DeC. cui propterea non dintius immora-
bor, nec etiam ostendere necellum duco, quomodo in sectionibus
conicis ralores literarum Y, IE, L, inreniri debeant, cum hXeC reS nC
trronibus. quidem nesotium Facessere possit; quandoquidem y in ha-
rum quantitatum elementis ubique ad duas dimensiones ascendit, adco
88
Add.