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# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 1
# Folio 432r, page id 00068196:0859
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 431v); this page is its right half.
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 68 lines, status machine
# Lines: 68 recognised, mean confidence 0.68
# 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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# After the first blank line: the recognised lines in reading order, one per line.

Enm sumanus differentiam senus et radii, nempe ea est 1 -0 vocemus eam d  et pet
1 1 - 2y + 293 - 29+ 19. et rad arcus 1 2y, - 2 1 + 293 - 2y7  2y3 - 27 est
5+1- 2y hini nihil
S mau eut s fi a et ye -8 ergo rs p a seu d 1a
a p 17 5H 1-19 ay3. g p a 7 g (y. N g 27- 24 7 7 esp a. et s poeriy
si tangens 19, auy a
ex duplus arius erit
cirgu Ea6Y ergo a  a 12X et 2y expriore yt 1y-a.
a H 1y-
exposteriore ist  e a. Ego 2y -60 pi 
(2)d
) v7.
0vB 27.- 193
q
r
x
arc P 2.
si  arc prus = 27
1x . Y - a ex 3.
eut ap 7- 3 + 3 3 en
jam si langens sit y. tangens arcus duli dupli H G. est SH
est autem 2a p 8. 8 + 8- 8 erc.
1- y
1+
1-7
+ nyt etc. 1 2y . 25 + 95 8. 2y
5 6)1-y
Et ita porro in infinitum, quae Hyperbolicis consonant.
2a7 1
3
2a 1 27 - 292+ 2y5 - 2y) ex.
sei ra p 27 8y3
15]
4a  
1 - (7)
(C3)
8ac =
a 7(VD a e (Cyn
1- ( 1))
ar(
ar y Ex aC a r (3.
posterioi appropinquatione semper exactior priore. Verum notandum quod hoc modo ec non assurgi
potest in infraitum nec infinituplicari potest arcus ejusdem circuli, nisi sit ipse circulus infimtai magnitudinis
(H 8H, Z. ergo G 8y F, 2y. et
itaque contra potius divisione utendum:
Dy + 29 1 9 et V +Zy H et y + 1 y +  H
et y +  H Sp+. a Y⊓ 19+1 -1 3
8
arc  8
arc 7 + (8) ure ri 4(9)
7 a 1941 -.
1is
an 9 8( er
angulum in data ratione secare: J sit  a A 7 - 3 + y - y et.
sit quaeritur sit alius arcu  X B  - B + 85 - D7 etC sit  aB ab. erit
.
t
bN8. 87 +95- 87 et a r 18- b0. b8 - b0 p y= 3 +3,
quaentur 8.
a e ari 29.
jam
ap
a J2v. a Rey esy
are
api 19. 2
auc 4
V p 2.
cop