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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 88, page id 797435492:0316
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 37 lines, status machine
# Lines: 37 recognised, mean confidence 0.88
# 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.

E E C Y. ZI.
spario. V D il e sirca axem VD rotato subduplum solidi ex spatio
DRSH, itidem circaaxem V Drotato, confecti.
Nam ob HIL. L C:: PD. DH:: D b. DHI:: D g. D it X
DH:: D ab g. HSZDH; erIE HLXHSKD H =L C,XD +9.
=DC X D Lg. Simili plane disCUrIU CFIE LR XL Z XDL =
C BX CZG; dE RIXRXXDR =BAx BZ 9, ee c. atqui soli-
dum prius est r: AZ g. ) - BZ9 + CZ9, _c. e solidum poste-
rius est: DIXIX =)- DK XKX L DLK LX, _c. itaque
ConAtAEPrOPOLiTum.
TX. Elaec itidem omnia Limili ratIONC VeTA LUNE, CtIAM CI CEVA VFFI
reCtA V D ConvexaS Luas parces obvertat. nempe quovis in curra aC
ceptopuncto F; ex per hoc ducta FP ad curram V Fi PI perpendicu
lari, ec E AE ad rectam V D normali, Factaque AZ == AP; erit
sparium VD .+ = -  9: Sin quoque Hat A Y = V P; eric spati
U VD EL
Q. Et pariter quond extera.
Fx his vero Theorematis quam innumerarum magnitudinum Cex
iplarum immediate constructione) dimensiones invotescant, ab expe-
rientia Cacile comperietur.
X. Sit rurtus curra quaepiam V H ( cujus axis V D, balis DH)
e linea DZZ Ocalis, u a curra puncto quopiam, cen F, dacta
recta ET, gux curram cangac, ee recta F. IL ad balin paralleli, Cic
gerpetuo IZ. aequalis ipli A E; dico spatium DHO spatio VDEI
aeguario
Aiquisecetur enim recta D H indetinite, punctis I, K, L, per qua
ducantur rectX F IZ, FKL, GL. L ad V D parallela, currxque oc
Currentes ad E E, G, unde dUCanEUF ReCtX F A, F B, C:C ad HD
Parallelx, rectaeque F T, FT, OT (ut dE HT) curvam tangentes;
linex vero sc, ut Schemamonstrat, interlecent. Pstque jam triangu.
lum C:L. HI simile triangulo TD H (nam ob divisionem istam indetr-
nitam arculus C:FI rectx instar censeri porest, catenus tanventi HT
coincidens) guare LC. L H:: TD. DH; _ LC X DH = L. HI
XTD; ICU CDXDH = LHXHO. Cimili raciocimio est B C X
C
k18. 224.
F15. 125.