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# Title: Ps. 2 (shelfmarks Leibn. Marg. 178, Stück 2; Leibn. Marg. 178)
# Folio 32, page id 175906937X:0056
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175906937X&page=56
# Source image: https://digitale-sammlungen.gwlb.de/content/175906937X/jpgs/default/00000056.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 35 lines, status machine
# Lines: 35 recognised, mean confidence 0.83
# 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.
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# After the first blank line: the recognised lines in reading order, one per line.

aLa BPE a
a b. a ab.
a. 1 b. a4 l ab. a3  aab. ab. t bb. dab. ( abb. a3 b. L aabb.
AEque ita dirItOTES OINES CPHDEF, A, a d, b, ab, a ab, a L b.
aa  ab, a3  a ab, ab  f- bb, a a b ab b, _c a2 b  a a bb.
Sic e ad inremiendum omnes divilores quantitatis a = 2 a+ bb
2 a ab+]- B5: divido a = 2 a + bb - 2 a a b+- L b per gitanti-
eacem primitiram a a- f bb, _ HE a  = 3 a a bb + b+, id quod
rursus dirisum per quantitatem primiciram a a -L a b = b b dat
aa = ab -- bb, qua quanticas etiam primitira elt, adeoque per
se iplam diridenda. Frumeque dirisores reserrandi a a-  b b
aa + ab -= bb, _ a a - ab -- bb.
a =- 24 +bb - 2dab + ) b ) a + -- 2aabb- ) b + aa - ab bb; r
aa  bb aa t ab - bb aa - ab - bb
Ex quibus ut inreniantur dirilores omnes quantitaris a -2a + bb
=2a ab+.-  b: mulciplico primum a a  bb per a a ( ab = bb,
de Ac a = f a3 b. L ab3 -- bt. Deinde 2, a a.  bb, a a + a b = bb,
_ a2 f a3b-  a b3 - b+ per a a- ab - bb, FunEque aa ab- bb,
a - a3 b = a b3 = bt, a+ = 3 a a b b  b, de a - 2 a + bb
2 a abt- + be.
ad  bb. aa-  ab- bb.
a7 + a 3b- + - ab3-- b+
aa -- ab - - bb. a  - - a 3 b- - ab 3 - - bF. a  - - 3a abb. f b 2. a5 - - 2a = bb-- 2a ab+ + b.
Tta ut divisores omnes (IDE F, a a ] bb, a a 1 a b -- bb, a2- ] 43b
 ab3 - b+, a a a b - bb, aE- a3 b - ab3- b+, a +- 3a abb- 1 b+
ec a - 2 a + bb - 2 a a b+ +- B5.
Fodem modo ut inreniantur diritores omnes quantiroris
a  2 at CC-  a a c+: divido a  2 at CC-  a a c+ pCF a, _ HC
a5- L 2a3Cc. L acF, quod rurlus per a dirilum, dac a+ L 2aaCC ( ct
Jam cum hic quociens diridi amplius non postie per a aur csimi
lemre quancitatem, divido at  2 a acc  ct Per a a- L cc, vel,
quod hic idem est, ex at   2 a A6C - L c extraho radicem qua-
dratatm
PaG. 78,
lin. 12.