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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 63, page id 797435492:0283
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=797435492&page=283
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 28 lines, status machine
# Lines: 28 recognised, mean confidence 0.89
# 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.
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# After the first blank line: the recognised lines in reading order, one per line.

B C
Iti Pane videor (ridebor ec robis, opinor) quod irridebat
 Sapiens ille Scurra, perguam exienae Civitati porras incentes
exrruxisse. Nec enim adhuc aliud quam ad rem aliquanto proxius eni
timmur. ad illam.
I. Flxcadsumimus. Si dux linex (ON O, TM F) sesC COH F1S. 76,
cinsane, ansulos ipsx comprehiendunt (O M T) rectilineo quovis an-
sulominores. Fic vice versa: Si dux linca (O MO. TM T) ay-
sulos contineane quoris rectilineo minores, illa sese Contingent. (con-
cinsentibus salcemi aquipollebunt).
Hujus effari rarionem jampridem (ni Fallor) actisimus.
II. EsinC; Si duas lineas OMO, T.M T cerria quaepiam. linea
PMP contingat, ipx etiam lineA OMO, TM I sese contin.
sent.
Nam quoniam linex O MO, P MP sese contingun, erie angulus.
OMP quoris rectilineominor. Irem, ob linearum TM T, PNIP
contractum, exit anculus TM P. quovis etiam rectilineominor Frie
isitmr angulus P M O rectilinco quorisminor. Onde linexe OMO,
PM. E se mucuo contingeHE.
HII. Tanear recta F A curram F X in F; sirque posirione data recta
FF; sInEILEM AUX CUEVX F Z, F. Z rales, ut ducta urcunque recta Fi8 78.
IL ad F: F parallela (qux lineas expolicas lecet, ut vides) sic semper
intercePTa K L aequalis interCEDEX IC; etiam currx E Y, F. Z sele
continsent.
Si non ranganI, porest inter ipsas constitui angutus rectilineus, puta:
BF C; nutie uteurique secet ad F P. parallela PL; sutnaturque C H
BC, _ connectatur F. HI; Cunrisitur cparallelis ad L l a rectis.
E C