# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/175906937X:0409
# Permalink to this reading: https://leibnizlegible.com/page/175906937X:0409?run=74
# Title: Ps. 2 (shelfmarks Leibn. Marg. 178, Stück 2; Leibn. Marg. 178)
# Folio 385, page id 175906937X:0409
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175906937X&page=409
# Source image: https://digitale-sammlungen.gwlb.de/content/175906937X/jpgs/default/00000409.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 41 lines, status machine
# Lines: 41 recognised, mean confidence 0.82
# 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.

ed Cdt
rAC
DDa
un ABF
D E MONSFR A F IOH LB U SH
Adeoque per 16 sexti
CX D A X  a b.
RuFeratur utrinque AX,
ec BCCN = a X ∞ ab.
Diridatus jam UEEaGUC PAIS PCF C- a3
erieque x  . HToc est, resolvendo xequalica-
tem in proportionem, CxtEut
c - a ad a, ita b ad X.
Jam cum eidem a qualia inter le quoque sine aequalia
eric by DCx. HToc est, crit ut b adc, ita x ad y.
Ouod Eaucem invenire lubeat p, non inventa prius x, Tubro-
retur in hujus locum in aequatione ultimo hic invent a ralor ejus
InVentus
Aetque by ∞ 2b0
C
Ubi, Ei verinque diridatur per b, invenietur y ∞ - -. OuX
6
quidem aequalicas in proportionem sic resolvitur, dicendo: UE
c- a ad a, ita c ad y. P. quibus itaque hujulmodi C’on structio seu
operandi modus olucelcit.
SumpEa ITL aequali CD, junctague DR, AAE UE
c- a ad a, HOC CA, UEFL ad L FI, SIVOFD ab DB, SirC
ctiam FC 2d C A, ita P C scub ad C A seUN; X ita
quoque FHIIcu c ad A B scuy.
Cujus demonstratio ex 24 X qta sexti libri F lementorum per-
Spicua elt, quippe considerando rectam DL. ipsi B HI parallelam
lecare proportionaliter rectas BF, FFI, perinde nc D C, quae ip(
AB est parallela, seCAF reCtAS AF, AE; ut _ rectam F F cidem
AB parallelam, Facientem AIa similia CFII _ G AB.
Caeterum uc praxis hujus Problematis cuiris obria sic, vilum
Fuic illud per numerosillustrare, ue sequitur.
digit.
EAtOOD ∞ 4 ∞ 24
C F ∞ b ∞ 30
d HIF ∞C∞ 25.
Ce