# Leibniz Legible — https://leibnizlegible.com
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# Title: Ps. 2 (shelfmarks Leibn. Marg. 178, Stück 2; Leibn. Marg. 178)
# Folio 245, page id 175906937X:0269
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175906937X&page=269
# Source image: https://digitale-sammlungen.gwlb.de/content/175906937X/jpgs/default/00000269.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 51 lines, status machine
# Lines: 51 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.

1
qu
icio
et
inii
IM.
et
in
elle
245
hoc CHt, ut (iF uti a ad b,
ita AB ad B C. Deni-
que per puncta A_C
AUCaEUTFeCEA A C, inde-
Finite extenla, crieque
haec ipla locus qux(IEuS.
Ecenim assumpto in
AC puncto utcunque,
reluri D, ductague DF
in angulo D L A, dato
vel allumpto aequali, si eadem D P vocetur p, erit = ut AB ad, per 29 pri-
BC, hoc est, ut a ad b, ita AF ad F D, hoc est, ita N ad y. FC mi, ex 4
tic 2 a p∞ bx, hoc est, diridendo utrinque per a, erit y ∞
Sexti.
2 per 16
Duare cum punctum D utcunque sumpeum CIE in linca AC, sexri.
erit eadem de omnibus aliis linea a C punctis demonstratio, ac
proinde ipsa AC locus eAt quae siEuS. AEque ita non Tolum Theo-
rematis propolui rericas demonstrata, sed d LOcus quae situs de-
terminatus elt.
I H E O R E M A II.
Proposiio 2.
LC, Crit LocuS quaelicus linca
Positis, Factisque, ut su-
pra, aSatUFInSUIPEF Ex A rC-
Eta A F ips BC parallela,
atque ad caldem cum ea par-
tes, quae sic aequalis c cogni-
cx. Fc ex F ducta FC paral-
lela AC, dico eandem FC
esse Locum quasitum.
Sumptoenim in FC pun-
etourcunque, veluri, du-
Ctaque C F in anguloAF C,
3
dato
C + B. TI. C A P. I.
angulo A B C, ipsi dato vel assumpto rquali; itaut eadem sit ratio
intercepea AB ad ductam B C, qua est a cogniex ad b cognicam.
Di requatio (IC )
recta.