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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 39, page id 797435492:0251
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=797435492&page=251
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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 0.88
# 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.

-
P C
Hdeducendis e proposica generatione curvarum affectionibus etiam-
Anum progredtimur.
I. Anculi, qui funt ab applicatis es tangentibus ad diversa curvae
puncta, sibimet inaquales sunt; es minores sunt illi qui puncto A (seu
vertici) propiores sunt.
TanGanE ReCtA TMI, ZH; e ad A Y parallelX SINEMP, HC;
dico Fore angulum P M. I minorem angulo ONZ.
Nam producta recta TM occurret ip(I Q N extra curram proi
tractae, puta ad P. Irem ipsa XN secabic applicatam P M exrra FiB. 26.
curram, puta ad HI. Manifectum eAt aurem cum puncta HI, N sinF
ad alias, ac alias ParteS ReEtX M F, reCtAB ME, NTH Pese inter-
lecare inter parallelas P HI, OF; quare major eAt arigulus externuS
QNIX internO OF T, hoc est angulOP MI: Q. L. D.
II. Flinc porismatis loco habetur tangentes se intersesare inter or-
dinatim applicatas per puncta contactuum; velut ad E, inter PM,
ON protensas.
III. Item ancalum. PT ML angulo O X. X majorem esse; (ex
rernum Ccilicer interno.)
IV. Trem pacet vertici propiores applicatas (proindéque rectas
quatris aliis parallela5) curra obliquius incidere quam remoriores.
Caterum ilta jam olim de Sectionibus Conicis oltenderat Apollonins,
ut in edito nuper V Pconicorum libro est ridere
V. In Rigura praecedente (posito applicationis angulum TA Y
rectum esse, vel obcusum) dico curva arcum M N rocta N H, ma-
jorem esse; recta vero M E. minorem..
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