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# Title: Leibniz-Handschriften zur Mathematik LH 35, 15, 3
# Folio 26r, page id 00068205:0073
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In ompi curva, quolcunque focorum pectangulu ub
e
nemusut recta ex centro gravitatis solorum educta ad curva
sesemento curvae multiplicato per namem focoris
Notandum autem cum
sic assumi modum
describendi per focos,
ut semper sit aequalis
perpendicularis elemen
taria, seu arcus in
terceptus intert duas
posemissas ex soco,
ad curvam. quod sit
modo explicato separatim distantiasendat
circulaxes, seu rotationes in Y
Hinc si arcus etermentaris ponnitur A
sumi aequales carve area tta
sic sectaent
aequales excentro, ve
orum
centa gravitatis bantia eo
idem punctum emissarum crementa possum
avy re
ab ad
idi
ut velocitates.
cun cegenaatum
hic utomne
in ut AN addantur in unam; iu Ellipsi
logedit
Centro E radio EF
axe trans verso describatu
rculus
F. G.  erit
aqualis
Homnibus kN
Nempet KA
 pontion
psius FG.
inciculares Elemen
lligi
ta samur ut in unam adda
erey
curra perrantiana
scilicet ut in Ellipsi prodit recta cujus per pendiculaas
constans nempe circulus; ita in o prodit lineat
in Hyperbola prodit
cujus etiam ea natura est, ut aleus snt pr
ut logarithmi
cujus tangens est stans nempe perrantiana
AN summaatem est problema langent
generiliter invenere lineam omnes
invensim
in parabola, quia ipsae
rectae Bk, sunt parallelae
interse, seu punctum B infi
nite distat, quasi essel multi
plicatum B, β
2
Hinc ipsae RV in unum additae
componunt ipsam rectam BR
ita per se patet quadratura
ctarmbe liter sequitur
e cundo quandocunque in tali constinem
ndo
quo aequa prodeunt KN quemean
ocum
ssu ms se quads
cumLe carra
inum habet folum aequaliter distantm esse aream