# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/175906937X:0415
# Permalink to this reading: https://leibnizlegible.com/page/175906937X:0415?run=74
# Title: Ps. 2 (shelfmarks Leibn. Marg. 178, Stück 2; Leibn. Marg. 178)
# Folio 391, page id 175906937X:0415
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175906937X&page=415
# Source image: https://digitale-sammlungen.gwlb.de/content/175906937X/jpgs/default/00000415.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 52 lines, status machine
# Lines: 52 recognised, mean confidence 0.87
# 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.

4
5+
DCeL, aC
dueta
uclL
H. _C
ABilla
TItaCe
ISPTO.
One per
lideret,
natein-
purec
da. ea
IC exB
D E M O N S F R A F FON FBUS.
puncto cen cermino recta linea determinari debet, datum conci-
nens rirsarum pedunre numerum: non absre tuerie, si de illius
praxin parcis huc explicarero, praelertim cum ab (que ullo instru-
mento Machematico negotium hoc expedire liceat.
Ponamus itaque in directum ipsius A C a C u(que ad D defi-
nienda esse recta C D, continens ro perticas seu rirgas. In quem
tinem crectis tribus baculis, A, C, _ B, efformancibus criangu-
lum qualecunque ABC, ac inter B de C crecto ubicunque quar-
EOE, Simenlurentur AB, B C, AC, d C E, lIEGue, CK. BI., AB ∞
a∞ 25, BC ∞ b ∞ 23, AC ∞C∞ 14, d C F. ∞ e ∞5 perticarum
Ceu rirgarum: Oportebit ex his juxta ec ipsi C D ∞ d D T0quae-
rere lonsicudinem linex AP, perinde ur supra atque ex leguenti
operatione videre eAt.
CF CD CB
10- - 13, ad CII. 26
Add.
AC. 14
add. AC. +4 AB: CD, 10
AFL. 40  15. AD. 24 ad AF, 9.
FIinc (I ab A versIIS B in rECTA A B IMeN SUITentuY 9 pertica Peu
riroa, atque in F hujus mensurationis termino baculus crigatuI,
tec, uc, Ei a C in directum iplius AC progrediamur, extruendo
aegerem auc etiam narisando cum (capha, donec perventum
tuerie in directum ipsius PL, recta C D cunc 10 perticarum seu
rirgarum sic Fucura. qualis requirebatur.
Oui plura hujus generis Problemata videre delideret, adeat
Appendicem nostram de Simplicium Problematum constructio-
ne, quam una cum Exercicationibus nostris Machematicis haud
ita pridem in lucem emisimus, ubiista Fulius pertractantur, eriam
Sine ullius calculi adjumento.
P R O B L F M A,
cujus solutione innorescit, qua ratione priora duo Theoremata
mi Capitis mi libri Almagesti P F O L. E HI A. L
inventa fuerint seu inveniri possint.
In Fectas A B, A C ductis urcunque rectis BP, DC1,
se mucuo decussantibus in Z, detur ratio C D adD Z,