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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 101, page id 797435492:0161
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=797435492&page=161
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 31 lines, status machine
# Lines: 31 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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# After the first blank line: the recognised lines in reading order, one per line.

L E C T. ZIV.
R
Si A cadat extra BC, Hac AB -  AC. AB:: BC. BZ; sin A F15. 759.
cadat inter B, C; Fat AB F = AC. AB:: BC. BZ; deinde FaC
RZ - DZ. DZ:: DR. DF.
Coroll. Ad integram Sphi aeram convere.
Si punetum A exra B C ponatur, hac AB + = 2
R - 
CT. Sin A cadarinter B, _ C; Hat AB.1.
AC:: BC.
AC. AC:
BC. CY; e cape C. P ad partes cenrri versus A.
ZV. Ad lentem convexo. concavam divere.
ZVI. Ad lentem concavo convexam convere.
1. Si AB =  A C; puncta Z,  Y versus A cadune, Facto
AC - AB. AB:: BC. BZ; d  RZ -DZ. DZ:: DR. DX:
2. Si AB =  AC; FaC I - RR. R:: DR. DY; _ CapC. D. Y
rexsus A.
3. Si ABE F AC; FaC AB - 7 AC. AB:: BC. BZ; _
cape BZ advextus A. Jam quum Z. cadic extra D R, cum primo si
RZC.DZ, TaC  RZ - DZ. DZ:: DR.DX; _ CADEDY
vertus A.
4. Secundo, si f KZ = DZ, imago infinice distabit.
5. Tertio, si  RZ- 2DZ, Fac DZ - p KZ. DZ :: DR.
DY, _ sume D. Y adversuS A.
6. Sed quando Z inter D,  R cadit; Fiat DZ-7
DR. DV; e lumatur D Y advertus A..
ZRZ. DZ::
XVI. Ad.
Fi8. 160,
16T0.