# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/797435492:0140
# Permalink to this reading: https://leibnizlegible.com/page/797435492:0140?run=74
# Title: [Lectiones XVIII, Cantabrigiae in Scholis publicis habitae] Lectiones XVIII, Cantabrigiæ in Scholis publicis habitæ (shelfmarks Leibn. Marg. 0; ZEN Leibn. Marg. 0)
# Folio 88, page id 797435492:0140
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=797435492&page=140
# Source image: https://digitale-sammlungen.gwlb.de/content/797435492/jpgs/default/00000140.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 39 lines, status machine
# Lines: 39 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.

F18. X3d
1.
18. L29.
E18, 130
L. E C T. ZIII.
Nam erit CUM C A. C R = C A. CK .f. NK. NAoiinde, con:
munem utrinque adjiciendo rationem C IC ad C A, erit C R. C A
CA. CK = CA. CR F CR. CA L NK. HA. hoc est
DR. C. R:: NK. NA.
Noretur in sipuris sequentibus esse perpetuo C A. C R :: I. R.
quod lemel, brevicatis causa, monitum elto.
IV. tinc consectatur; primo; Si Fuerit ANC CR, quod re-
Fractus Na CuaKe AC prorsum excurrens conveniet. Nam erit
CK. AN=3 CR. C.R:: NK. AII. adeoque CR = ~ NK.
V. Secundo; S Fuerit AN = C R, retractus N a ad A C pa
rallelus erit.
Nam (IE NFI ad A C parallela. quum ieaque (IE C A. AN::
(CA. CR::) L. R; erie A N iplius HI A refractus. ergo vicissim
NHiplius AN.
VI. Terrio; Si tuerit A N - 1CR, retractus Na cum AC
retro conveniet extractus.
Erit enim TunC CK. AIVE CR. C R:: HV. K. AN. ac inde
CRE HK.
VII. Hinc clarum est; Si fueric AB non minor quam C R, om
nes retractoS vertus a C. PrOCurrentes convergere. erit enim tunC
Temper AHC CR.
VIII. Subnoretur aurem (i fuerit Paltem AB =C R; axi proxio.
res radios in sen libilem parallelismum retringio
TX. Irem, Si A T circulum tangac, ee fuerit A Y = ZC R; ma-
nifectum est omnes retractos retro prorractos cum AC concurrere.
cunc enim Temper est AN  SC R.
Lo Ctaruueu suvstie, ut sato , omnes arcu Bl I.
dentium retractos rerro productos, omnes aurem arcui N Y inciden-
TIMI rETTACTOS ANETORIUM PTOCUTTENTES AXIOCCMTTENE.
a2lo Lelllat dulcuu iui Cata propou cllaae colctata uo
nempe I DK; ec radii concaris incidun partibus) adcimilis consinsat
diverlitas, hanc quoquebrevirex actingerus.
+6. est
F18. 13Y.