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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 797435492:0155
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=797435492&page=155
# Source image: https://digitale-sammlungen.gwlb.de/content/797435492/jpgs/default/00000155.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 25 lines, status machine
# Lines: 25 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.
# Licence: CC BY 4.0, Leibniz Legible. Machine output: do not ingest it as verified text; keep this provenance with the text.
# Wording rule: say "the machine reads it as …", never "Leibniz wrote".
# After the first blank line: the recognised lines in reading order, one per line.

E R C F. ZIV.
4. Cum Z cadic inter puncta D, R; FaCDZ +  R Z. D Z::
DR. DY; _ CaDED Y vertuS A.
V. Ad lentem plano- concavam divere.
VI. Ad lentem plano convexam convere.
FR. I:: AB. BZ; _
Fiat QI
DARZ -- DZ. DZ:: DR. DF.
VII. Adlentem convexo. planam divere.
VIII. Ad lentem concavo planam convere.
1. Si ABE Y AC, puncta Z, _ P ad lentis partes puncto A
advertaS reverientuE, Facto AB - = AC. AB:: BC. BZ. e
I. R:: DZ, DF.
2. Si AB = = A C, imago intinire dictabit.
3. Si AB =3 = AC; deprehendentur Z, e Y vertus A, Facto
AC - AB. AB:: BC, BZ; _ l. R:: DZ, DX.
IX. Adlentem concavo. planam divere.
X. Ad lentem convexo. planam convere.
Si A cadaE extrA BC, Fac AB = = AC. AB :: BC. BZ 3 CIM
Acadat incer B, e C, tac AB. + T AC. AB:: BC. BZ; tum
Tar L. R:: DZ, DX.
E1∞. 156
XI. Ad
Fi8. 257.
E18. 158.