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# Title: Leibniz-Handschriften zur Mathematik LH 35, 12, 1
# Folio 44r, page id 00068194:0087
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abere ait
Genealesus hethodus schienhusi  tangentibus
ope focorum inveniendis Ejus in sua
Medicina mentis jay 74. tale dat exemplum
sit curra A. MG, axis ABCdE, in quo foci
B.C.d (idem est si non essent in eadem recta, et
si foci semper variarentur) bisecat extremorum
radiorum angulum rad B M D, et angulum quoque seu arcuum CG in H
 serc arcum F1E in Gdende appubm CM d, seu arcum iG inH, deniquebisecat
HK in L ducit LM esse perpendicularem ad curvam
Manifestum est BM +bisM d + MM C semper aequari constanti
Sit ordinata MP= G) abscissa AP  fiet.
et B BP = b CP c De- d fie
c
AD = d
C spp + bb + crpp +cC + 2 spptdd = 
est autem +62 sit AP =X erit B b = R X - β C= X - k d = d - x
fiet db = ex = dc et dd = - dx.
et N  seu d sco =  deo
et fiet
co
d  dco-
pae+ bdx, pap + cd = - 2 pap + 2
App + bb Lpp +CC
Spp + da
in casu maximae est  ap = 0 et sit
BP
+ P = 2 DP. jam 2DM = r - BM - CM
BM
CM
DM.
fiet BP + CP = 2Dp
s cadB(M sit eoCM
et V HC = . pr C
lam CM + 2DM L BIA = Y
plbes
Y - BM - CM
grio
est
e
Reculam hanc ex praxiu hanc
examinemus in casu facillore
Maxima est alitudae curivae debet punctum
19.s
Mtar iites ses sa paubil qu mtimiam
Oulari aicum: FHK
per
e punctum R
ipsum punctum C, patet si H. sit inflac 
tunc K esse supa; vel contra. excepto unico casu quo
circuli centio M radio MC destcriptus recta BCE. langit
in Es seu cum recta, CM est peruendicularis ad axem
ordinata. Ergo eo casu  quo quaeritur maxima curvae
o deberet M ese simi supra c. Sed hoc tantum procedere potest
eo casu, quo C est metro loco inter B et, D hoc solo enim
cascasu H et s H e bifecans FC et K seisecans eG aeque
e
Hruc sequitur
aenoven i aib ete in adte red, haig adeo teorem esselmone
eErgosZ
tantum n
e
1BC-DC