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# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 2b
# Folio 100r, page id 00068198:0199
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sumtu
anibi
e
1)F
problema Tangentium inversum huc reducitur:
tantur linea positione lineae FF, pro quolibet axis
on
videntur
aliter per puncto B sic ut ibi livea C(C) Paqil ad anem
tac
r et punctum C ubi cadit in F(F) factt ejus langens CT angulum
sece
cnda
iuim
in
factens at inclinationis
B. Inveniendus Eligendus est talis, ut si eade
in finitis modis recta CC
ad
veas
ntege interponas inter F
e
a
p. FD et (F) (F) duae
(()(C) habeant nncta commune
1.quod non semper fiet, si minimas quaeres angulo
hac le Ge inventae C(C) et
. nempe CC
A inter
F F et (F)(F) interponobites
alio qui probremate esset absolute in pte
datot
uabus
latibus lineis FF et (F) (F) quaeritur interponi et
 asseculi cognitum ead AB
ei
s.
pdinglanco 1
idmati
.Et sane
olimus quia in
ex hac Methodo
Uvocandi problema langentium ad datas lineas in quad
alerum pexdis
cadunt puncta sequitur
inventionem alterius
erami invenit
non posse sordonatim
vetlae linea dalae
cadat punctum quaesitae linea,
in quam
nam olioqui problema
quaerenda est iois generatio v. g. si essent
haberetur solutum absolute
2
Ellipses jusdem foci eorundem focorum, videndu
an  lex ingrementur ex AB invenori possit
itaut
CC
AB et longifudine ipsia
et
dato angulo (C) C. 1. p
= P
deralum:
Ex dato
angulu faciat est
ACB Assumantur AC olBC, ex his datis datur C
hk+ XX
=p tixtit + XX2
denu datam AC+ BC Axch
LhX = Du
p: Xopkp- nopXp =hph2+ XPXC
nopellatur simml De regula
fili AA+
apphp-pp
speres idipseos
ad 
ed
1
un
Ap; kY = vo: hh + YX in rade
lat
p
(1Y
nis celentas, ver
AC axm serando semper angutum dalu. Nobo
idem faciendo cum altera Ellipti. Ani aequatis sit periori circulae
ata ettictentae est, ut interfectio elaamictitsim
nempe atur A
Ergo et aB, et LBC jam datur relatio
siane
ellissed
Cum sinut
0o circa foces R et F
AR+ BC quia data est species
tu
Chipsem
datur spere
quid si ellipsui
descuibper
Dato puncto B data