# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/00068199:0292
# Permalink to this reading: https://leibnizlegible.com/page/00068199:0292?run=74
# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 2c
# Folio 146v, page id 00068199:0292
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 147r); this page is its left half.
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068199&page=292
# Source image: https://digitale-sammlungen.gwlb.de/content/00068199/jpgs/default/00000292.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 46 lines, status machine
# Lines: 46 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.

si non proodel gereralis reductio ad ravales,
cogitavi de crrationatibus, composit;
verba
qr
I a  bXX + CX aequ C im + sn + Sp hoc nobis
l sin vel coetens
nostro scopoi non obesset, modo in  non contineatur plus quam xgus
verum quia si X faciamus = 1g + sr + s, vel simule
in qua in biquadinto prodicet rrationalis, in qua tres
tres essent nimum divisres, seu ubi ascenderetar ad 13, quod
ut evidetur debent irralionales plureus aliquos habere divisore
eoes en enim semper non Ate in irrationali ultra XX Vyy.
non pervenietur. sive excites quadratum a tali radice
vel tatem des vatorem, etiam ix hoc modo nit turbabit
Haec videtur esse vera rat astatytica, in qua
confinentur resolutioes irratonatur aptae ad chaturas
X = orer rorux +n Vioy. 3orS om Toriius
rahibnnra  _ est b p StorHy _ rotnus + q Stovau gortus 4, V. 2onug. 3or vus 
SYiorny+t Noy +  BZoriui et
H ubi in p et q et Y, et s, et F, et 2 possunt conlimeri
simpliciter X et y,
ita ut si p = 40 + 41y et ita porro
sed mn, h, erunt tantum simplices cognitae constantes.
Hac melhodo putorem processuram.
Compendo sit X = in L1D. 2o +n sio 3o + 9 Y20. 30
 X= mnioro +Emn IOYZO3o = + (M) Y.0. 20 + (N V1 0. 30 + (4) r2o. 30
99 2030 2mg 2d. Y10.30
214 30. Y10. 20
1 1 a ( = 2n430 (n) = 2n92o
(9) = 2mn10.
Et fint eXei + rtibturo + 2h ) Sio. 20 ch ) 10. 20 + 2h(s) i
1anngu3eoe En s... xitpo ... rerite ot.
C) a9 2o 10.30
Am n 10 20. 3
+
btam 10.20
2obor
6C minn 10. 20. 30
N
nqu 30 10
M+ 10. 20
14 10.30
qu 20. 30
a
+ n)... + 69).
In Bd tor . ex = a