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# Title: Leibniz-Handschriften zur Philosophie LH 4, 5, 10
# Folio 70v, page id 00069349:0140
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 75r); this page is its left half.
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 93 lines, status machine
# Lines: 93 recognised, mean confidence 0.71
# Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German.
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Utile signa polus
quam literas
em biguus
actubere trans
lationum
causa.
ilem copositiinum.
au
sit Rectangulum Ellipsi Hy Hyperboleve inscitatum, (sab hoc autem nomne
dud
parabo.
lam comprehendo, velut lateris transversi in finiti) ita scilicet ut latera ej
axi rectunguli ejus, ED. GI. axi _ sectionis parillela sint, centrum
autem Rectanguli idem cum centro sectio Figurae. Unius autem figurae
nomne etiam duas oppositas sectiones comprehendo. Esto laus figurae trans-
versum AB. rectum  RH duos vertices conjungens, trans versum RH.
ex puncto curva
cus ducatur paralleta quaelibet X ducatur pertdicalaris uxi XXL
a
recta occupens uni perpendiculariter lateri ED in Y, et lateri GI in B jam
recta DL appelletur Y, et recta XY appelletur X. inveniaturus valor
rectangulorum ADZ et LXY. EDY si Cy - y, et LRZ, e dx F X
d2b e
9d
3.6 X - y
+M
+Z4 V.
fiet:  e
fietque
+H
ob
4
dt
rb c1
v2 +24, v
Cb
adey-
2
ei luce poni potest:Et quia
fiat b
2
qb
+
7- b
4db - y
v2 + Z4V
et pro =, substitmendo L
3- b
iam si L e = erit = 7 2- ()1
Z.b 1Y 
et   + b rZ.
Ley - y
sue = 
ve + YqV + qV
6Z,61
N-
r
x2+ =qV +qV
ep
dam pro ) substituatur  et 5. 5 -d Est auter d  labu trasversum
edumndrata
figurae et rectanguli lalus il ut in Ellipsi latus transversum sit majus rectangulo, in
e
V
pat
Hypsibola contraEst a. latus transversum +. et recta tatus DElatus rectanguli
67 - 6v, vel dgr
fuit d4, vel dqb
b + 11
vel te. erit ergo d () + (D) =C, vel
Lr
a 3.b
erit dri =+ += e. ponendo +. e. Y. quantilates positivas
D A
n
p = + f te vel ert 71 5 + Z+
Yit
L2
(ls
e
ce
et po X Y, ponamus WV  XY seu v ponamus: 2 X M . YM, seu W - ZM
seu W -  LY, seu quia LY  G9 
va
u
as
 +4. fiet ergi. - W. Vy W-
ppro W8 Sulstituam P2rs + X S hem vs Pars 4X s . 
t
2
1n
e
-2