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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 100, page id 797435492:0156
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=797435492&page=156
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 32 lines, status machine
# Lines: 32 recognised, mean confidence 0.84
# 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.

L. E C T. ZIV.
XI. Ad lentem convexo. convexam divere.
ZII. Ad lentem concavo. concavam convere.
2. Si ABC p AC, Facto AB -  AC. AB:: BC. BZ;
_ FKZ -DZ:: DR. DY; PuNCTa Z, P adversuS A CacluNE.
2. Si AB = Z A C, Fac I. -R. R:: DR. DY; SE CaDE DY
adrertus A.
3. Si AB -27 AC; Fac F AC - AB. AB:: BC. BZ;
_ Tume BZ versus A. Jam cum L cadit exEa DK, si primo sIF
RZE DZ, FAC FKZ -DZ. DZ:: DR. DY; d suIC
OP advertus A.
4. Secundo, s1= RZ = DZ, imago dictabit infini. ca
5. Tertio, si =KZ = 1DZ, TaCDZ = = =KZ. DZ:: DR.
DY; _ sume D Y vertus A.
6. Ouum denuo cadic Z inter D, _R, FatDZ +  RZ. DZ:3
DK. DY; Tumaturque D Y versUS A.
Corol. Ad imerram Spheram divere.
R
1. Si AB F ACF=AC; hiat AB.L AC
AC:: BC. C Y;  cape C Y advertus A.
R
EAC.
2. Si AB + AC = AC; imago in intinicum abit.
3. Si AB + AC-
R
AC; Hat AC - AC = AB.
AC:: B C. C Y; eapiaturque C Z verTS A.
10
E18. 25E
llo ateeM COnCRD6 ConCNVam avOr.
_IV. Adlentem convexo. convexam convere.
F18. 259.