# Leibniz Legible — https://leibnizlegible.com
# Piece: https://leibnizlegible.com/api/records/60241/text
# Catalogue record: 60241 — an Rudolf Christian von Bodenhausen
# Date: 1697-01-07 (96-12-28)
# Akademie-Ausgabe: AA III,7 N. 063
# Record in the Leibniz-Katalog: https://leibniz-katalog.bbaw.de/de/extended-search?id=60241&katnr=86622
# AA III,7: the volume in the Repositorium des Leibniz-Archivs (CC BY-NC 4.0): https://www.gwlb.de/leibniz/digitale-ressourcen/repositorium-des-leibniz-archivs/laa-bd-iii-7
# In the Akademie-Ausgabe: AA III,7, p. 332 (PDF, Repositorium des Leibniz-Archivs, CC BY-NC 4.0): https://www.gwlb.de/fileadmin/Leibniz/repositorium-des-leibniz-archivs/III7A.pdf#page=332
# Work: https://leibnizlegible.com/work/00068207
# Title: Leibniz-Handschriften zur Mathematik LH 35, 15, 5
# Folios: Bl. 42r (from the shelfmark LH 35, 15, 5 Bl. 42r°): 1 page, canvas 81, page ids 00068207:0081 to 00068207:0081
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068207&page=81
# Lines: 137 recognised on 1 of 1 pages, mean confidence 0.78
# Catalogue: Leibniz-Katalog / Arbeitskatalog der Leibniz-Edition (https://leibniz-katalog.bbaw.de/), ed. Arbeitsstelle Potsdam I der Berlin-Brandenburgischen Akademie der Wissenschaften, CC BY 4.0.
# 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, page by page: a "## Folio <label> — <page id>" line ("## Canvas <n>" where no folio label is recorded), "# " lines naming its source image and model, then its recognised lines in reading order, one per line.

## Folio 42r — 00068207:0081
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 41v); this page is its right half.
# Source image: https://digitale-sammlungen.gwlb.de/content/00068207/jpgs/default/00000081.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 137 lines, status machine
ae Ex1 et 2 fit (41) aes + bhk
Epaeg 3=286 e, aeq. 2fier 5.
a_ + bkK
acc +bgg
pro hoc smibumus. C) = 8 u D-
D
pro vegis tia d. F= 4, 8. Y
2
t bRg
ED. Ex 1et 2 fit etiam 5. se 9(2 gr. 4925 sufticiem ergo a49. 3,4, 5
vah in de justitia Analytica gedacst, ust hwear aber aist de necessitate aberviellenstid
melius esse, nic man hedet diaulis. Dieste art von justet inhanihe in etvas e arclarus,
sb ereta besolche: Wenn gas wia in der justiz gegon man sen rena acceptio persona
Tumi also Gire die literae aut gerhus fust fractiret aerd, und zwear zuzeck etlute mnt
che glrigues audeor aecedrimit epoers fauisus
in C
3
es
Non estopus
cx4 fit O = Y,: 8 = (e 5) 2(0E: 3D
Ergo p Z4Q Cmo et 30246.
f.216:3 At H
289:3
vides rndes
veres unde  valores ex  substituendo in aeq. 3 ciet
2t 10e = 46.8 seu 8 = 6Y0
1et 2
3 aeqq. ber tit D = 2H f. 8126
seu 
+(9
135 et C
16830
Si f f, H; C, G ut latentes in Q et6 sepondum
quo valore substituto in
habebimus exrum opes D, D, 8 Ex C et D inveniemus eeth
Sed ex B inveniemus si placet eth, ita duos dalres
et haequando dabitur oq ovissima, in qua solum
supsrerunt literae incognitae F,K, C 9 Ut autem calusus
 ut eums quam bhintu
qui quaralo quadrati.
omnibus ribus aequationibus sed non permissa
divisio alloqui ex a, e, f, C, ut b, h, K, 9
sequeretur, fic ut K, g. quod tamee
non nisi in aeq. 3, est verum
unde et
Imo et
10. si tamen verum sit a, e, f,C, ut b, hik, 
et simul f, c, ut K, g; non tamen inferre
licet esse a et a e ut b, h
l justitia non debet esse no 16COH
ut qui in pari causa sunt, diversimode
ata
seu 822 seve 10
8F216 1612
AKK 2RB
42 fab fR
Sit fia Kr A
s rpsi
pro mnta ett
al. pt- 2
sin e
A
+Bs
d= 14.k- sasiles e
rar
fit HtaTLYSIKXKIrC
i. ado intorq
iande  K red
itque trdpus quulor
aserutra ut fsub
itlu in assts
VKK, fict forimula
extrahibis quadra
tice, sed poda
adtersut
pediomisus
st expratios
quid sistatie sic
pponumus valore
et K, ut facilius
comparari possine
afftbk
d
biquadialo. vert
lidepture sipan
aet
1mo) in aequ. 3, respandent sibi
(240)
(3t,0).
f.C, g. item age, fiult b, h, K
adeoque et. ae, c; t bh, 9
umbo respondent sibi
f,k; A c.
ato) in aequ. 23 habet solum locum artict, a
entaf, C, ut b, h
Ato) tua aa 3 itidem in aequ.  singulatim
sumt
et in eig. 2 singulatim habenttolum locum
a esut
Bk, 1
tam acrticulo, 1qdanartic+ 2. sed non artit. 3) are,ut b, 
5+0) itaque aegq 1 non esperfecte institiaria, quia non eodem.
2
vel
sunt
(560) e
modo tractat f, K, ut C, g. Eodem modo aeq.2 non est
analogmis
interer
cym calculuostendat F, K; Cg
(6) sed aeq 3. est perfecte justitiai quia hunc defectum supplet deberepari sure uti
perfecte justitaria
(7 Aegq 1. et 2 simul nuntae etiam sunt perfecte justitiariae ut aeq. 3, seu ut calculus integer
(8) Et, si aequatio nova ex ipsis inter se conjunctis fiat eris eodem modo etdem modo
et
verb
conjunctis fiat, erit cetiam perfecte justitiaria
A an logii saequitur compositus; non ex compositis simplex. _. Grat.
aieis  ut Bi C, atra esC, ut b, h. 9 sieguiur a, ei F, e, ut b, d. _. quod verum in
9) Ex duobus relati
Ca+H  B
ass
ea tudiruma
S
de
a
e
vau deput
e
ractentur.
inle lrgo non de
rationes sed de
relatione lu
genere
Etu ut aq. 3 quae
calculo integro just
ha noc cedit