# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/826603459:0451
# Permalink to this reading: https://leibnizlegible.com/page/826603459:0451?run=74
# Title: Qua Continentur, Oratio Inauguralis. Mathesis Universalis; sive, Arithmeticum opus Integrum, tum Numerosam Arithmeticam tum Speciosam complectens. Adversus Meibomii, de Proportionibus Dialogum, Tractatus Elencticus (shelfmarks Leibn. Marg. 84:1, Stück 1; Leibn. Marg. 84:1)
# Folio 5, page id 826603459:0451
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=826603459&page=451
# Source image: https://digitale-sammlungen.gwlb.de/content/826603459/jpgs/default/00000451.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 40 lines, status machine
# Lines: 40 recognised, mean confidence 0.87
# 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.

DeDIeaII.
rem aliquam non habeat radicem possibilem: arramen interca
tieri posse pucabam, uc radicum illa quam nocrum exiBaLne.
Pocium impossibilis to.
ret. Si aucem non im.
Portibilis, Calcem uEva-
ria (IC, putandum vide.
BaCUT; EE DEOPTETCADEO.
politionem exposiram
hrand esse veram, urpo-
ce quae supponicline.
am DD bilectam in p.
adeoque e inlcrip.
cam 00 bilecari in
: quod ( PD TUC-
Tum, _ pD deorlum,
Cumendae (quarum in-
difterenter ucraque ra-
dice q detenatur)
non sincinricem aequa-
les; neque erit vel DD
bilecta in P, nec OO in
x; adcoque nec vera
crit proxolicio.
Radicem icaque il-
Jam more meo inqui-
rendam Culcipiebam;
uc videam num in asraror exeac; vel aliud aliguod quod non-
dum oblerrareram mysterium pandar. COuippdnon raro
concinsie, uc ipla aequationis relolurio, in exspectarum quid ex
improrilo prodat.) Ouod sicageredior.
Aquacio expolica 9 d9 = F 9 = 27 dB
sive 9 =9d9  = L. 27 d 8.
Substiento r F 3d = 9,
adeoq: 9 = r F 9 dr = 4 27 d2 r F e7 d
et L 9d9 = = 9dr= - 54d  r F 
Erit 9 = 9d92 = r - 27 der F 54d - , 7 7 d B
IvC p = 27 d2 r = i 27 a 8 + 54d.
C c 2
F