# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/175906937X:0186
# Permalink to this reading: https://leibnizlegible.com/page/175906937X:0186?run=74
# Title: Ps. 2 (shelfmarks Leibn. Marg. 178, Stück 2; Leibn. Marg. 178)
# Folio 162, page id 175906937X:0186
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175906937X&page=186
# Source image: https://digitale-sammlungen.gwlb.de/content/175906937X/jpgs/default/00000186.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 38 lines, status machine
# Lines: 38 recognised, mean confidence 0.94
# 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.

162
P L E H. C W R Y A R U M
laricer mrobilis circa punctum B; ita ut idem crus B F semper
transeat per praedictum iplius II G punctum FI, Simulejue alte
rius cruris BC ac dictae linex FI C incersectione C deleribacus
curra linea BC: crunt
TIC describens.
F F directrix.
TIBG, HTBP anculi mobiles.
FFIO, F. TIC ansuli ad directricem.
B Polus.
BF intervallum.
BFI cruspatiens.
BC crus efficiens.
PC linea efficiens.
DK describens instatione prima, sire describens simpliciter
DBC, DB A anculi mobiles instatione prima.
RC efficiens instatione prima, sire efficiens simpliciter.
Curram BCi, efficiense RC, intervallo rero BD descriptam di-
CeIUS; Et apparet, cum efficiens PC eAt in Satione A C, cruS pa-
tiens BFI coincidere cum intervallo BD; ac describentem PTC tune
esse in statione DK, acque per efficientem ec incervallum constitui
uerinque anculos mobiles DBC, DB A.
T Et E O R E M A
Proposirio I.
Oualibet efficiente, de quocunque intervallo, li anguli
mobiles xquales lint iis, qui ad directricem (unc ab cadem
parce, curra delcripta, hoc ips proprium crie, uc quae
vis recta a quolibet curva puncto 2d describentem effi-
cienti aequidistans applicaca possi rectangulum, sub in-
tervallo acque ca describentis parce, qua inter Polum e
applicatam intercipitur, concentum.
Sic efficiente AB C, intervallo BD, S directrice F. F delcripea
curra BC; ica uc angulus mobilis DB A CE x qualis angulo F. D B
addirectricem, Reque a puncto C in curra utcunque assumpro ad
describentem DBK applicata recta CR efsicienti A C parallelas
dico quadratum applicatx C K rectangulo D BR aequale esse.
COn