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# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 1
# Folio 152v, page id 00068196:0302
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068196&page=302
# Source image: https://digitale-sammlungen.gwlb.de/content/00068196/jpgs/default/00000302.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 22 lines, status machine
# Lines: 22 recognised, mean confidence 0.78
# 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.

a
fafficit uosayl, et aytrm fieri quadratos, et
decundi quadus quia haec aliter quaduado aequarito
it
ay +l, ay + mn, debent singuli esse quadrati. sit  y = a6144. 248
es pa
firt ad ay + H = aa O~ 98 +ll2244,: 2248 Et aaOD4Q + l2  aa t556
l
 dagast Kolis So sitn ne haba torum ai s.s. 2, 2Z. et aa C3) 9∞ = (p. a )6 +l2,8), (2. p) h6 - 12. 8
sia Hi duples resolutio, unant sit prior unam est ut sit aOQ = (p: a )GS + l24) et aDe=
(a: p)(L5 =(2 5). Ex priore sit A  = 0 +4B, et 
c
a 612
Daa: p= et Q   at6 l2E:  ap _ Ergii at S et 2 sp F: t 6. 1. aa
D.  ∞D. sed pari parc ob m, erit O.D = at6 +m 2Z ppena, at 5 tut a
quos duos ipsius 9)) valores aequando chabitur aquatio per quam fis et 2B habent inter C=C: D
rationem constantem. Ergo per aequationem priorem resolventem, habut e rationem constantem
ad 2Z, et O4 lationem constantem ad 2E. Ergo y erit constans contra intentum.
Esta jam Tertemus ergo alteram resolutionem. et fat C)D (pra) nt) et ( = (a. p) (+ ..)
fiet ) P. ast compendii causa 212,  faciamus β, et  86
Compendii causa 28  a designempus per aβ, h per V, habemus duas aequationes
fac papatoe- Ra