# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/797435492:0121
# Permalink to this reading: https://leibnizlegible.com/page/797435492:0121?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 73, page id 797435492:0121
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=797435492&page=121
# Source image: https://digitale-sammlungen.gwlb.de/content/797435492/jpgs/default/00000121.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 39 lines, status machine
# Lines: 39 recognised, mean confidence 0.91
# 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.

W E C X.
20
2. Situerie IC R; Hac I = R. R:: BC. CZ; quare COmpO. F18, 105
nendo erit I. R:: BZ. CZ. ergo Factum.
2. Sin I- 1R: AaER = T. L:: BC. BZ. ergo rurIS Compo-
nendoR. I:: C2. BZ. Vel inverse, I. R:: BZ. C2.
XXV. Fiat jam C R. AB:: CZ. BZ; Dico punctum Z esse
mecam, cirra quam (respectu centri C) nullus retterus axem de-
cussabit; hoc est praemissis insistendo, FOrCC RL CZ.
Nam ducatur N T circulum contingens ad HI. erit ergo N R. N A.
:: HT. AT= IBR. AB. quarCNR. N A . L- AB. BZ = IBR.
AB -+ AB. BZ = BR. BZ. eAVeTO NR. NA :: CR. CA.
_ AB. BZ:: C A. C Z. erBO C R. C A t C A. CZ =QBR.
BZ. hoc estC R. C.Z-IBK. BZ. vel permutando C R. BK
CZ. BZ. unde dividendo C B. BR = ~C B. BZ. adeoque BRE
BZ. unde liquet proxolitum.
XXVI. Exhinc (ut in casibus ante pertractatis) consectatur ejus
modi punctum Z esse locum iplistimum imaginis punctum A exhiben-
ris oculo, puta O, inaxe C A constituro; parerque quam longe passim
ab Opticis; nominatim a novissimis Stevino, FTobbio, Fabrioq in eo
alsignando loco aberratur; quorum ex sententia verlatur is ad pun-
etum (puta 9) canto semorum à verrice B interrallo, quanto radi-
ans A ab ipso B dictat. id quod praeterquam quod nulla verisimili rati-
one nicitur (imo rationi prortus advertatur; cum nullus ommino
radius oculum ingrediatur tanquam à puncto J proveniens) experi-
enria facilime returatur. Nam si ranquam circa punctum A accenta
candela speculo caro C B exponatur, oculo velur ad O sito longe
majori distans interratlo conspicietur, quam ipso B C, quod ipsam
AB exaequat. quinimo tantillo versus cenrrum illum adducendo non
aequali distantia, sed admodum majori videbitur clongari; tantâ
circiter ad sensum, probabilemque conjeturam; quantam proportio
requirit a nobis praestituta. quo circa discursus noster experienriae
suttragio constabilitur.
ZZVII. Ouod demum attiner ad locum imaginis respectuvisus Fig. 10b.
extra radiationis axem politi; determinatur is eodem ac in casibus
antecedaneis modo; bilecando scilicet ipsas NP, N punctis B, F;
Faciendoque F A. AN:: FZ. Z. W. Adnorandum saltem in recti-
oribus retlexis imaginem extra circulum consictere; sed in obliguiori-
ousineraillum, nempe si fuerit A FL AN punctum Z ultra axem