# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/00068201:0447
# Permalink to this reading: https://leibnizlegible.com/page/00068201:0447?run=74
# Title: Leibniz-Handschriften zur Mathematik LH 35, 14, 1
# Folio 224r, page id 00068201:0447
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 223v); this page is its right half.
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068201&page=447
# Source image: https://digitale-sammlungen.gwlb.de/content/00068201/jpgs/default/00000447.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 66 lines, status machine
# Lines: 66 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.

Ninc vert redeamus ubi prius simplicioser tentamento isi fuerimus:
fiet n tah p at (2 tahg e2
et
fint X
+9 gre
a
sine)X
+(9) ah 98Y a lC ahg e)
Ergo at (= dahger
99’e2
X
= ah X - a l
Xa t (xah9 e)  -(9 hX g e = 99e a l. Sod nde fruct, nihul
rectius ergo aequationem:
et fiei.
X Y. X∞ 4 Y - 3d0 resumemus et comparabimus datae: X ali Xa l
+ 3d ca
(vel X B X d - de
ed
+e2.
+ d2.
comprando fer: (d +C B sed eha. vel d ede ah. et - 3d C + 3de  - a l.
fiet C  -ah - d  ed  - ae l + 3d e. adeoque - 3 a t - 3+3 (hed), - à l 4 
et ep - 3 a hd - 2d3 + a et Cp gatid+ 18 atdt - 6 ae 1d, 19d - 6d a l+ a 1
6 dt2
36 dY
Unde innserendo in dr ed +C p - ah. tiet: 364 + bed et et tollendo e. veniemus ut ante
3C d  ( 18 at d 18 d + 6a ld + 9ae h  18 ah d3)
36d Y - 1Gah d - 18 at d + t.td d - tah - 3d + a l ( e).
sive 36d4 - 3t an d= 108 d4 + 36a l d + ga h
36d2
d+ ed 2 + ed p - ahd. sive. d= 3ahd - 3d2 + à l + ed , -ahd
hoi 36 d (- 18 ah d) = 18d + 6ae ld + 9a he d 18ahd) - shald +946 -6dae l +a (
P 36 ah d+ seo nihil hinc usus.
Et iam int supes est quod tentem.
+2AP)X + alpe  +S X tam X + raps X + ael X +a p
+ a2
+ah. +amh. +aml.
sit quantitas Ssta X + (4fX fgX  ar X aqX + a r.. Unde quadrando:
X4 125frataq X + 25 a aer X2
+ a q.. feagar + at 
et conferendo m  Ss t 4 ex terminis X. at exteminis X fict:  p  a q 2S. ar -ah
a ex terminis Xfiet: a l + 29h F.. 4  22 qra hui  (a
et ultimis
A.) a+
(22
2a5.
ai
haerLaII Era-2h Su
aq+ 4 a qutnuaer -2  ahs (+45 d  4 a a2) =  arah + a h +al s g
s
a1 + 4 aelh ... 4 + ate 5qt 4 h a qu
4q s
seu ar ael ah suiqu
euco
Unde a l +ae th sinq tatessq 14h  qu a4 + 4 aqu l + 4 aquhist, - 244 4h + at + 2a l f. 9pa 1
Xquvsh
quod si explicare velimus S. ut inde quea exhahiradix, ert ex s’+a. ponemus v a
scmta aequa
-2 ah a l
qumah
et fiet Sii n 1+  (a) B 2 +a et f v - a + a + a. unde:
top inde 1S +a p 2v + q et Se p) 1624 8r  + at
GV
et
m. p. g. r.