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# Title: Methodus Figurarum Lineis Rectis & Curvis Comprehensarum Quadraturas Determinandi (shelfmarks Leibn. Marg. 135, Stück 1; Leibn. Marg. 135)
# Folio 17, page id 1025220307:0015
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qua PM = V r y = M C; e perproblema primuum
invenio illam detiniri per hanc aequationem n ry
= X; e uE determineturn procedo iIn hunC MO-
dum per Prob. 2. QuaerO P M ex RQUATIONC IVeNCA
nyr = X, X invenio PMI =
r. 7
V 2 1 6n r2 90 C
facta comparatione cum dato ValorC CTIF, Sur 3.
= Vry, unde prorenien -
V 216 y
pe
2; Post debitam re-
ductionem, adeoque Curra VII detinitur per
unde erit : y r j x On
6r7 = X
135
g = VMC. EECO-
dem modo Juadrari possunt parabolitormes infinica,
quae detIUNCUT DCT Y y
C.
1 = 2
x93.
2
In Flyperbola OCU quadranda sit Area interminara
C M
L.
Eis. 4. Sto IEyperbolae potentia = a unde =2.
inquirenda igicur est Curra V IIcalis uc in
ea (E CemPeF PM = - ac nullam esse hujulmodi
Mechodus jam tradica Ctatim deprehendic: naM juXta
regulam mulciplicanda est , perny, et productum
3