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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 95, page id 797435492:0323
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=797435492&page=323
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 41 lines, status machine
# Lines: 41 recognised, mean confidence 0.88
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VF C T. Z2.
iplam AF B) SIt perpetuo TC major quam SC; dico nullam cux.
ra A PB partem intra iptam A P B cadere.
Si Heri Porest, cadat DarS NIF M; ita SCiliCCL RE CUEVA A F B CUr-
ram A F. B intersecet punctis M, N; his autem interjecta concipiatur
indeterminate ordinata P. F C; (int vero linex L. ZK, RY O tales,
ut ductis rectis FO, F P ad ipsaS FS, F T perpendicularibus, prorra-
ctaque recta E C, ut haec dictas lineas I. R, O R secet punctis Z, Y.
(ITCX = CO, _ CY =OP. Jam ex octen(is Patet estC spatium
THRL
IM9-. INq
=(pac. LHGR, adeoq; spat. IHKL, IHOR
aequari. Verum ob CF. GO (OZ):: SG, CF. = 1SO. OF ITO OF::
OF. CP (GY) = CF. OY; CAOXe GY; adeoque (ciim
hoc ubique similiter contingar) spatium LH K L majus spatio IHIOR.
quod repusnat octenso. ita que liquer Provolitum.
Etinc toca AFB extratoram ALB jacer, nec illa hane ulquam inter-
secat.
IV. Sic curra guaepiam B AF, cujus axis A D, ee ad hunc ordina. 518. 235.
cabalis AD F; Scgmenti vero B A F centrum gravitatis (ic punctum
H, gerquod ducta sic recta RS ad B F parallela Porro per puncta
R, S transeat alcera curra (vel linea quaeris) MR ASHI, habens iri-
dem axin AD, ac ita priorem curram B A F sCcaNS, ut ejusce parS
TUperiOFR R AP Sintra curram B A F cadat, inferiores vero reliquae
PaTteS RM, SN extra eandem; erit seSenti MR ASN centrum
gravicatis infra punctum EI, versus ba (in M NI.
Nam e Segmento R I A OSablatuM R I AR -]. AOSP residu-
UA B R R A P S F: deprimet vertus basin B F. pura uE jam siE Bujus
relidui Contram cravicatis adZ; tune adjunCTU B R MI -L FS NI
adhuE FOEI AA R R A P S N magis deprimmet: adleSGNe CeNEuI ejuS
intra X consistet, velur ad Y. itaque constat Provositum
V. Circulum A F B, cujus Centrum C, tansant dux rectae BI, PS F18. 136
Diametro C A occurrentes punctis I, S; ∞ ad C A perpendiculares
sinc rectae BD, P. P; SIC autem AD major quam A P; exit FD. AD
C SP. AP.
Ram estCL. C A:: C A. C D. Ideoque CT -CA. CA-
CD:: CT. CA; hoc est TA. AD:: CP. C A. Simili ratione constabie
esse S A. AP:: CS. CA. F.C auLCM CT. C AL CS. CA.
guare Y A. AD C SA. AP. vel comporendo FD. ADL SP.
AP
VI. Hyper-