# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/175906937X:0271
# Permalink to this reading: https://leibnizlegible.com/page/175906937X:0271?run=74
# Title: Ps. 2 (shelfmarks Leibn. Marg. 178, Stück 2; Leibn. Marg. 178)
# Folio 247, page id 175906937X:0271
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175906937X&page=271
# Source image: https://digitale-sammlungen.gwlb.de/content/175906937X/jpgs/default/00000271.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 42 lines, status machine
# Lines: 42 recognised, mean confidence 0.85
# 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.

linea
iC in
eu
le
Ocu
L. F B. TI. C A D. I.
E H E O R E M A. IV.
Propositio 4.
exit Locus quaelicus linea
Politis, Factisque,
ut in TheOremate
do, excepto quod
punctum C ab op-
Polica parce iplius AB
cadat, quodque an -
SuluS A BC ~Gu2-
liS SIE dati vel alsum-
pei anguli ad binos
rectos complemen-
co, quemadinodum in
adjuneta fgura appa-
ret, aSaTUK ex F re-
eta FO ipli A C Pa-
rallela, OCCurrenSre-
Eta AB in FI: dico
FHesse Locum qux-
SIEUI.
Sumpto enim in PEI puncto utcunque, veluti C, ductaque
O F in angulo AEC, dato vel assumpto aequali, quae producta
Secet A C in D, Si eadem C F vocetury, erit F. D ∞Cy. Cum-
que sic ex constructione, ut A B ad BC, ita AF ad F D, hOC  Per 13 e
est, ut a 2db, ita x ad6 - y: erit PFOPECrCA a6 = ay ∞ bX, vet sa
ay∞ac -bX, id est, dividendo urrinque per a, 7 ∞c- =. Uod = per 16
exac propolitum.
sedoti.
Ac vero heri etiam porest, ut per opcrationem,
peiusquam ad aequationem dereniatur, quanticatum
incognitarum alcera penitus crancscat, alceraque lola
alicui cognita quantitati aequalis remanCaE; aEque
CXIH-
3i XGu a IFy∞6
recta