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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 99, page id 797435492:0335
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=797435492&page=335
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 33 lines, status machine
# Lines: 33 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 CT. ZI.
E NIO. quare liguent ca, quae Propolica TunE.
Si Circulo substituatur Fllipsis, eadem conclulio valer idem discur-
sus probat; POtica A II Ellipsis parametro.
ZVIII Habeant hyperbola A F. B (cujus axis A Z, parameter AHY)
 parabola A F B axin eundem AD, _ balin DB parabola Cupra
D Btota extra hyperbobam cadet, extra vero, ( intra D B protrata. F18. 143.
TUT.
NaM CONEKX Z H occurrat BD in L, ereo D I est parabola pa-
rameter. Ouod li supra B D utcunque ducatur recta F F C+ K ad BD
parallela, secans hyperbolam in F, parabolam in F, rectas AD, Z HI
punctis (3, R, erit EG9-= AGXDIL AOXGR == FC9. Qua-
reFCF FC. Duod (iintra BD, urcunque ducatur recta MNOL
Sccans hyperbolam in AI, Parabolam in M, rectaS AD, Z H in O, 
L, Crit AO9 = AOZOLC AOXDI = MOq. ∞ indeNO
E MO. unde constant ea quae propolita lunt.
ZTX. F dictis eliciuntur hx ad Ciromli dimensionem pertinentes reeu-
la. Sit B A E circuli portio, cujus aris AD, batS BF, Sitque C
centrum circuli, e P. H sinus rectus arcus B A B; item, sit AD = L18. 1440
C A; exir 1.
c. - 2, ADXBEE POrE B A F.
2. FH .)
t  25
BEE arC. BAF.
3. 3 AD X BF = porE. B AF.
q. F H  BFF BarC, BAF.
ZX. Itidem hae deducuntur ad hyperbolae dimensionem (pectantes re-
sula. Sit hyperbola (cujus centrum C) segmentum ADB, habens L18. 145.
axin AD = = C A; S batin. DB;
exit T.
F-f. 25 A D X D B  TCBI. ADB. 8
20 = ADXDBC sCsM. ADB.
XXL. POrYO,