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# Title: [Lectiones XVIII, Cantabrigiae in Scholis publicis habitae] Lectiones XVIII, Cantabrigiæ in Scholis publicis habitæ (shelfmarks Leibn. Marg. 0; ZEN Leibn. Marg. 0)
# Folio 86, page id 797435492:0314
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=797435492&page=314
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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 0.81
# 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.

I. E C Y. ZI.
II. Tildem potris, atque paratis; summa rectane ulorum AZ X AF
BZ X BF - CZ X CC, 8c. Xequatur trienei cubi exbale
DTI.
Nam ob HIL. L C:: P D. DH: : PDXDFI. DFG; exitHIL X
DTg = - LOxPDXDHI. hoc est HL XHOq =VC X D t X
DHI. Similique discuxsu, L R X L. Y9 = C BX CZ XCG. ∞RI
ZK YG = BAXBZ X BF, e c. Verum HL X HIOG,). LRX
LFg FR IXK X 9, 5 c. adiequane erienrem cubi ex DH; itaque
liquet Propositum.
III. Simili ratione constabic SuMMaMI AZ. X A F 9. s- BZ XBF 9
FI
L CZX C69, 50. XquarI r0 = 44: _ esse summam A L. X
AF cub. -) = BZ X BF cab. - CZ X C Ccub. es c.=
eodem in continuum renore.
DTI3
3
IV. Exhinc consectantur haud aspernanda Theoremata:
ac
Sic
VD. L0 spatium quodlibet; cujus axis V D, uc dictum, aequilectus.
(i concipiantur lingula spatia V A Z ∞, VBZ 8, V C.Z 8, 85c. in
Tuas Ordinatas AZ, BZ, CZ, e c. respectire lingulas duci, guxe pro-
veniet summa ade quabitur ipsius spatii V D. L 8 Pemiguadrato.
Nam (uti prius octensum) figuex V D L e adaptari porest spatium
VDII; cale nimirum; ut dueta quavis ad curram V HI perpendiculari
Praced. Fec. X CCUF P, sit A P sibirespondemti applicatx A Z X qualis; (b) unde fer
spatium V AZ ∞ = -, _VBZ0 =
BF
eVCZP
C60
5c. Quapropter omnia V A Z PX AZ F VBZ Ox BZ L. VCL
XCZ, 50. aquabuncur omnibus A F. g X AZ f BFg X BL
(C) hoc estru
DHg4
COgXCZ
 VOteX VD o
4X2; (b) hoc estrco
V. Ouod si ducantur omnia V V AZ 8, VVBZ 0, VVCZ 8
esc. in tuas applicatas AZ, BL, C2, 65c. respectire proveniet as-
Gregatum xquale duabusterriis radicis quadratae facti ex ipso spatio
VD at e cubato (Fc Z V VD + 8 2:) i
Nam acaptata CuEVA V H, eA V V AZ P = AB V =3CE VVBZC
=BF N =, _VCZ 0 = V CGV =, 8c. Cum itaque (INE
omnia
B18. I2220
(3) + Bujus.
F16, 122.
(Cd 3 Bujur.