# Leibniz Legible — https://leibnizlegible.com
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# Title: [Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica (shelfmark Leibn. Marg. 101)
# Folio 295, page id 845634801:0301
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=845634801&page=301
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 97 lines, status machine
# Lines: 97 recognised, mean confidence 0.81
# 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.

Esse quoq
DECUNQ
arum C
gutOru
COnTIM
DEOpOIC
ngU
lis ball
pli.
ali aB8
abist
15 lecu
aledect
11S4
V2.
dlesi
nicat
petOSP.
stacum.
diamet
el
t
et
1
fict
AD AN CYEA R ES SECFZONES.
B90. - Z. 9. in Bc5. + Z 99. in B 5: aequale erit (extX.
299.
B499. - 2. 4. in B49. 6. + Z. 49. in B9. 9. = 2. 9942. sexrimae.
2.9c.
B99c. - Z. 9. in B9c. 7. F Z 99. in Bc. 14. - Z 499. in B7: octavae.
2cc.
Bgec. - Z 4. in B cc. 8. + Z99. in B49. 20. = Z Cc. in B 4. 16. + Z 9cC. 2. nonae.
Z 99c.
Becc. - Z. 412. B 49c. 9. + Z 99. in B 4c. 27. = Z 499. in Bc. 30. + Z. 4999. in B9.
Z gCC.
Arque ira deinceps. Ouoderar demonstrandum.
Innotis, sic semidiameter 2. basis prima LN. Erie
c - 3 N
10e - 4 8
+ 3
2OC - 5 C + 5 N
rCC -690 +9 9 = 2
100C -7 CC + YC = 7 V
ZOCC -= 8CC + 2099- 169 + 2
ACCC =9OQC + 270C -30C + 9N
Basis Quadrupti.
an. Duincupli.
euli.
Octapli.
(Noncupli.
decimia.
Basis est
et sic concinuo radicem binariumcum sibi proximo junsendo, es composicum cum numero illis proni-
de dcinceps componendo. creabuncur reliqui assisientium mulciplicium numeri in infinirum, jurta se-
riem subjectae tabella.
NUMERT MCTLZIPLICLUM ADFECTIONIS.
perima
Eexata.
nesata.
55
546
60
170) 800
139
50
s.
1729
2275
672
FI22
1782
71
2727
1386
(Dupli.
Tripli.
4604
Sextupli.
Sepcupit.
irmata
(Non-
64
204
2508
4290
ocava
540
1254
st
287
resacam
20401025 100
952 (2940 (5733(2007 5148 11079 (305
HH 3
293
THEO.