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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 144, page id 797435492:0398
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=797435492&page=398
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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 0.86
# 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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L E C F. ZIII.
3. Curra HLL. I est somisirontus; reliquas icidem ostentat
Schema.
4. Si AE =  A b=
b
16
76=
Z: dc AP --
 Ordinencurque restae CV, +Z, P T; crun puncta V,
Z, E modi currarum ((I b =5 V 860, decrune nodi X, L; G b = a
86c; II Coale(CenE).
5. Ordinatarum ad Curram C L FI maxima est ipCa A C; sin AP
es
_ ordinetur P ad Curram A. M FI; erir
P~ maxima; item (I A  = 5 b = V 52 bb.
2o ad CurraM ANEI, erit O S maxima.
;_ ordinetur
6. Ordinatarum ad Curram HI LI maxima est ipTa O T; SIN AP
b
3
_ ad Curram HI M I Ordinetur PS, exit p Z
maxima; item ( A g = 3 b. ]. N 6 b b - --; _ ordinetur 9d
ad curram HNI, erit qd maxima.
7. Elinc radicum limires dignolcentur, ue innuitur in iis, quae ad
octaram seriem animadveria sunt.
8. Patet in Serie duodecima nune eres, modo duas, semper unam
radicem haberi; in decima cerria vero subinde ctuas;, aliquanco cantim
unam, incerdum nullam haberi.
9. Echaec quidem constant potuo fore L 6; at li - = 6
eranescet Series decimarertia; coalescent puncta HL, C, I; recta A B
hyperbolam R RCK FanSCF; CuEVXque C VHI, II a in rectas lineas
degenerabunt.
10. Sin -c; etiam eraneseit Series decima tertia, hyperbola RRR
tora intra rectam A B jacente; quo calu curra C. L L erit hyverbola
equilatera, habens centrum O, Temiarem (ipsI A B perpendicula-
rem) OT =. V ACq -- A O9; HINC _E CUIEVX A MM, A NN
ad inFinitUM PPOCUEFENE, Sic ut aequationes, quae in Serie duodecima.
unam seriper, ec unicam radicem obtineant. Ilac luffecerie insinu-
asse; quin e rem toram hactenus particularim aetisisse. Subnecte
musautem notas qualdam aGIS GenETalSS
E18. 218.