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# Title: Leibniz-Handschriften zur Mathematik LH 35, 7, 1
# Folio 9r, page id 00068073:0017
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068073&page=17
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AB  YNCC
BCHX pAd
A
e
Vr + X H y. Ergo y:  Y +X
et (y
dx H Sr ax + (X dx YX+X
similiter XF V - Y
et
v
X dy Y) (y dus - r dys  V - ry
recta AE
1
a
Hinc datur linea. En quam cadit centrum
gravitatis spatii Hyperbolici a se
1G26
quaeratur curva transiens pers omnia
gravitatis scentra portionum videntum
est an illae semper sent cunaetat.
se fecent us
gentes id est an se
quaelibet quam libet extra curvami sed
healiunde facila sire possemu. no
impossitile est esse tangentes, cum omnes ua
idem procedet in circulo ves Ellipsi
uncta
si se caut n unoc
Haec curva erit transcendens et posita
se
circuli et Hyperbolae quadratura non
difficulter investigari potest; quaeratur
ejus tangentes vet ad has perpendiculares.
tam e his quodsi Ex s un perpendicularis
illa quae in punctum A incidit quod si.
dato puncto quo perpendicularis occurrit
axi haberi posset punctum curvae, vel
saltem aequatio quaedam habebimus
quaenum sit longitudo perpendiculuris
ex puncto s ad cumam ductae. jam
um hunc dar posset relationem
exobens haberim panc jungendo cum
cultera illa aequatione quae centro
6
s