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# Title: Ps. 2 (shelfmarks Leibn. Marg. 178, Stück 2; Leibn. Marg. 178)
# Folio 318, page id 175906937X:0342
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175906937X&page=342
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318
E L E H. C U R Y A R U M
OCF ∞ ∞ + = FC; ItCmqUCP F UnA ~ ∞ = = F 6, dC PF al-
tera ∞ X   = = 6, hoc eAt, OF, OCF, d P P una vel altera
es
CrIED V. FAque OO VeI OD (SICUE SuPTA NMI) ∞ -= 8 +∞, 3-
que ctian
OO vel P ∞dy 8ff, acque etiam ff - d y. Ouare cum idem
rectangulum ae quale lic quaclrato ex OF vel OC P, aUE CX Una
alterare PF, id elt, vr: erit quoque dy. ff ∞ vV.
Atque ita demonstratum est generaliter, quod hoc locopro-
politum fuit.
AC si denique aquatio similis sic alicui Formularum
Lub NN 3 Comprehentarum, erit Locus quaesitus, liter-
minus in quo invenitur x x vel vV signo- sc affectus,
Terperbola; sin idem terminus signo = 2FFectus (C, FI-
liplIs: excepio cancum, cum polteriori calu ordinatim
2d diametrum Epplicatx cum ea rectos angulos ta-
ciune, & simul eranlverla diameter paramcero cA x
qualis: quippe eo calu, ut patee, qualitus Locus Cir-
culus existic.
Etprimo quidem casu, cum nempe terminus in quo x x vel vv
Ciono- F aftectus reperitur, ac proinde Locus quaelicus eAt L (yper-
bola, erit quoque terminus ffcum illo ab eadem ae quationis par-
te consticurus vel signo. L affectus, vel contra; _ (i ligno - aF-
fectus lic, atque in aequatione habeatur tractio, ipla majoris per-
spicuitaris gratia in terminum ry vel ZZ rejiciatur. Quo tacto,
remanente utraque quancicare incognita primum conceptâ, le-
Casus ims quenti Forma se extribebit aquatio: py ∞
de de
e ety -ff∞-) aUF
de d
∞X N =ff: critque, ut in lequenei Agura,
calu primo, nempe literminus ff cum cermino in quo x xunam
aequationis partem constiruens signo. L affectus sIc, diameter IIy-
perbola describendae in recta A Z, quae ducieur per punctum A
politione datae B F. Parallela. Sin contra, hoc est, si terminus ff
tiono - affectus sic, uti casu lecundo, eric diameter in data posi-
eione recta AB, qua InAETERIINatE PrO x ConCIpITUT; ita ut ad
CaIdem
cum LOCUS
bola.