# Leibniz Legible — https://leibnizlegible.com
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# Title: Ps. 2 (shelfmarks Leibn. Marg. 178, Stück 2; Leibn. Marg. 178)
# Folio 246, page id 175906937X:0270
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175906937X&page=270
# Source image: https://digitale-sammlungen.gwlb.de/content/175906937X/jpgs/default/00000270.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.

246
E L E M. C U R V A R U M
dato vel assumpro aequali, quae secer rectam A C in D, Si cadem
per 29pri C F vocetur y, erit FD ∞ y = c. ACvero eA, uc supea  uti AB
13et
Cexti.
ad BC, ica AF ad F D, hoc est, ut a ad b, ita x ad y = c: aC prO-
per 16 PTCTCA ay = ac ∞ bX, vela y ∞ b x + ac, adeoque, Facta divi-
sexti.
Tione per a, y ∞ =- F 6. Ouod demonstrandum decerminan-
dunique exat.
P E E O R E M A TII.
Propositio 3.
6, erit Locus quaesitus linea
Positis factisque ut in
Theoremate rmo, agatur
in super ex A recta AF,
ip( BC parallela, atque
ad oppolitas cum Ca Par-
Tes, quae licaqualis cc0-
onitae. FF ex I ductaite
TUMI FC ipSI AC paralle-
la, secante rectam AB in
HI, dico FTC esse Locum
quaesicum.
Sumpto enim in eadem
puncto uccunque reluri
C ductâque C F. in an-
sulo AF C, dato vel assumplo aequali, gua producta secet AC
in D, headem C F. roceturr, eric F D ∞ y . F c. Jam vero est
ex constructione, ut AB ad _C, IC H Li ad F D, hoc est, ut a 2d
adeoque, Lacla ae petn, 5∞.- c. Quod eltpropoli
EUM.
di aquatio siC y 3
ecta
3 per 29
primi, 
4sexti.
per 10
b, IEa X ady FC: aC PrOPteTCA = ay L ac D bX, Vel a y ∞ b X = a6.
Sonda
LHEO.