# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/175906937X:0393
# Permalink to this reading: https://leibnizlegible.com/page/175906937X:0393?run=74
# Title: Ps. 2 (shelfmarks Leibn. Marg. 178, Stück 2; Leibn. Marg. 178)
# Folio 369, page id 175906937X:0393
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175906937X&page=393
# Source image: https://digitale-sammlungen.gwlb.de/content/175906937X/jpgs/default/00000393.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 74 lines, status machine
# Lines: 74 recognised, mean confidence 0.80
# 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.

ABa
dupla.
MInuS
ACatIY
YatHI
b 16
euli
eIII
re-
BF
CO,
C
C;
Pat
111
2M.
(unE
Dre.
ecti
(I(
DE MONS FR ATTONIBUS.
369
balIsque A F basi P F aequalis. Porro cum b propter parallelas b per 29
AC, CF anguli D AF, FF C incriangulis AFD, FOP. Xqua- primi.
lessinE, uc _ anguli ad verticem AFD e G FF, latusque A F c per 15
lateri FP, uc ostensum est: erunt quoque d reliqua latera A D, Primi.
d per 26
DF reliquis lateribus F. C, C P aequalia. Hlinc cum propter (1. primi.
milicudinem triangulorum BGL, BDC, BO SIC ad CP, id elt, cper Cor. 4.
AD, sicut BD ad DC; necnon BC ad BF, id est AB sicue quinti.
F per 16
BD ad BC: erie quoques permutando BO ad BD, SICUE AD quinsi
ad DC, de AB ad BC. Ouod est primuIm.
Caeterim D C. bis esse ad excessum, quo DC. SuPCrAE AD, SICUE
BD adDF: Ita PATCE.
E.senim, ut BO ad BD, ita A D ad D C
b.- 27-. b
5
y.
Ideoques DBO, D C D ∞ lOBD, AD.
2dd. utrinque 272
by - 27Z∞ bc.
colI. utrinque bc
dix. VEringuC PeF 2y.
by ∞ 27Z +b6
by - b6∞27
b9 = bc
FIt
2y ∞ Z. HIOc elt, erit ut
2DC DC- AD BD DE
27 2d y =c, ita b adZ. Ouod est secundum.
Vel eriam, hoc modo:
Etenim CuI (IE
ut BO ad BD, itA AD ad DC
b- 2Z-- b  0
erit invertendo h
uE DC ad AD, ita BD ad BC
 6-
b 1 b - 2
e per convertionem rarionis
UED C ad DC = AD, ita BD ad DC
- 6  b
id est, duplatis ancecedenribus, X
UFZD CadDC == AD, ita 2BD ad DC seu BD ad BF dnt ad 22
y
A 2 a
8 per 1C
sexti
M per COr. 4.
quinti
i per COr. 19.
quinti
L vide Cla-
quinti.