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# Title: Ps. 2 (shelfmarks Leibn. Marg. 178, Stück 2; Leibn. Marg. 178)
# Folio 309, page id 175906937X:0333
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175906937X&page=333
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L. T B. II. C A P. IV.
AC M aequario SIFZ
Z∞ dX, vel ZZ ∞ d v. ff; cum Znon SIE
quancicas primo concepta sed aslumpea, vel alumpra erit pro
y86, vel proy 8=, rel denique Proy 8 86.
TTI. Ec E quidem Z alsumpea sic proy 8 c, qui sic calus tertius, du-
cenda est per punctum A recta AD ip(I B L Parallela aEquE
20C; Ita uC, (1Z aumpea sic proy = c, punctum D cadat ad
eandem partem linex a B, quam conceptus est angulus
ABE: LC, (I Z sIc asum PEa PrO Y. L C, pUnCtI D C CONETZ
ad alteram partem linex A B cadat. Deinde ducta D K ipsI
AB parallela, erit in eadem D R Parabolx diameter, _ D
vertex, Ei Xquatio (IcZZ ∞ d X.
IV. Sed Si(iEZ Z ∞ d x. ff, qui sic quartus calus, sumpea DL. ∞
L erit vertex punctum L; quod quidem procerminorum d x
e ffper L vel - affectione eodem modo, ut supra de pun-
Eto F dictum est, vel ciera vel ulera D. punctum cadet; uti e
vel in hanc rel inillam parrem, proutterminus dx ligno. 1.
vel - adfectus tuerit, ipsa Parabola, ut supra nocatum est,
delcribi deber: erit que omnibus _ lingulis praedictis quatuor
calibus Parameter ∞ d.
V. Si vero Z alsumpta (IE PrO Y 8
qui casus sic quintus, Tum-
peo inlinea B F. punCtoMI, ica uF sic A B ad BM, Sicuc a 2d b,
(quod quidem punctum M lumendum est ab cadem parte li-
nex AB, qua conceptus est angulus AB F, Sihabeatur -3
Sed ab altera parte, si habeatur L =) ducenda est per pun-
Eta A _ MI recta AM: CriEGue A MT eoCalu Parabolae diame-
ter, ad quam ordinatim applicatae faciane angulos angulo
AME aequales, e li in aequarione terminus ff deticiat auE
nullus sIC, erir vertex in puncto A.
YP. Sin minus, qui sic casus sextus, ductis per puncta F _c L rectis
L. FL, quae incerlecent supra dictas dinmerros A MI vel iis in
directum adjunctas in punctis N: erit vertex in DI, vel cieram
vel ulera A. punctum cadens, prour termini dx e ff in ae qua-
rione vel ligno. L vel ligno = aftecti tuerine; uri d vel in hanc
vel in illam partem ipla Parabola pro varia termini d v. dAc-
ctione, ue lupranoratum elt, delcribenda erito.
a
309