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# Title: Leibniz-Handschriften zur Mathematik LH 35, 12, 1
# Folio 21v, page id 00068194:0042
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 22r); this page is its left half.
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068194&page=42
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 49 lines, status machine
# Lines: 49 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.
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# After the first blank line: the recognised lines in reading order, one per line.

sec optime
aequ yy.
aa + a + ab XX + bs X aqu4 2lX + InXX + El pX itqu
ac
aa
n’equ be seu n’aequ obc
seu maegosipa
Nbc
+ m2 Xx + 2mnX L+ Emp X 4 rmus X
tuni pempr
alp + rma aqu. 0. seu El P +. 2m sbeogu e
ila + um aqu ab+ ac
seu AE 2l sbc. + Uppaa aequ. ab + bc
Et fiet 2l be sbc + WOpp a aequ a b c + abc
et fiei p aequ. 1 a3b C + abc - 2d bc sbc
A at
a
restabit ergo at aequl + uem  pro in subst luatur
vata inventus, pa, p nempe pro 1.. quoque substituto
valore, sed
tunc vinculum valaris ipsius p ingreditur. alto qua
ora essent acta abotuta
Hunc tamen malo remedium in promtu
est, si quantitas: abc + ab ab - 2lbeYC
aequetur quadrato vD. fi.
 laequ. abC+ abC - vv. et paego V
le
2bc sbC
seu p aequ. 2vbc sbc
abc+atbE - a vD
et maequ. a sbc
2abC
et l aequ ab2 Fab18- 246 vr +a b- 2abV + v
q 630
Jam X aqu a- 1 et a + ab XX + bc X vqul + m X + n XX
qun lem
(aa t aXX aequ. L + m X 4 nXX expliatus hilicet ln. rix. secundu
lee
ta sie amelius: aequatu a fafX +929qua
dividatur in duas hoc modo ge generalissine X ali et una Ervidatur
per 4 X- b altera per  m
BX+ hregyd FBaYGX+
e
1d (+ Se
gg 
sed nihil E
poliusset gyesse
ractio
pesarir     cae