# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/00068073:0151
# Permalink to this reading: https://leibnizlegible.com/page/00068073:0151?run=73
# Title: Leibniz-Handschriften zur Mathematik LH 35, 7, 1
# Folio 76r, page id 00068073:0151
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 77v); this page is its right half.
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068073&page=151
# Source image: https://digitale-sammlungen.gwlb.de/content/00068073/jpgs/default/00000151.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 73, 2026-08-27T15:28:38Z — 108 lines, status machine
# Lines: 108 recognised, mean confidence 0.77
# Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German.
# Licence: CC BY 4.0, Leibniz Legible. Machine output: do not ingest it as verified text; keep this provenance with the text.
# Wording rule: say "the machine reads it as …", never "Leibniz wrote".
# After the first blank line: the recognised lines in reading order, one per line.

annii 679
Efficiendum est ut duae curvae LH et MH
se langant
 et FH sit simul minima utriusque ponitur autem
curva dAG esse circulus us sine relsti
ecans CA
rectus DF, simus verjus FA
t dB
et
3n
arcu
1o
m
to
ung
inus
s
seu radius sit BL ordinata ad iLH et BM ordinata ad MH
et Bt sit ratio secantis ad arcum DA. LM est quaesita
invenimus autem in praecedentibus tun
posito tangentem DF esse L
fore
FIt aequ.
+sr+t pose
ordinata ipsius A LH erit L posito a este arcum
s
es
seu
LH aqu B  Sr  (1dt aequ. y. et jam
1+ f2
1+F
ponamus: BM aequ. V. aequ.  ( r t
fiet in
casu minimae eadem quae supra nempe Daqu. + si+ +2
quod ex calculo patebit.
2+ +36
sed quia non ideo sequitur duas curvas sese ibi tangere
nam sequitur tantum hinc duas minimas esse aequales
et eandem habere, tancuentem axi parillelam ideo unum
ad huc addendum est a  ut se tungere licantur in loc
de hoc postea ndinatae minip
st
osa
Nempe habemus
ut
sideratis videamus an issae.
 aequ. y.
et: a aequ L. et
est autem ds aequ
Casu minimae
nempe
ta q sive
rei
Snt
 sint aequaal
et 
t
sil 1X
3F
rr aequ dy aequ
a
s.
ego S
a5- dy
Vb
ergofiet: Ytaequ et dus in  aequ. 0. in
et y aequ.
et fier: 1 aequ. 1+
A2
+r
 + f2. ergo fiet.
27
+2
.
uu
srt seu LSr +I aequ ut t V srt 
D + rD aqu r3
adeoque fiet:
0aequ A + nB- r  82
B.
rvi calculi
deberet fieri
yese
et prodiis
aequ.
aequationdentica, 1a,+ +
Oa
ade =
it
sed quia - r - , 6, 16 n
potest fieri aequ.  hinc
aequatio est indivisibilis
Mutetur a
ponatur
r aequ. D, fier
2aequ , et habebimus B X -Br D aequ r
posito 8 esse tangentem complementi
unde per regulam Cardami fiet:
e
aequ.
27-2
+- 2, aequ.
5B
2 +V
+ Vir - rL r
+ V
168
1