# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/727094130:0021
# Permalink to this reading: https://leibnizlegible.com/page/727094130:0021?run=74
# Title: Optica Promota, Seu Abdita radiorum reflexorum & refractorum Mysteria, Geometrice Enucleata (shelfmark Leibn. Marg. 94)
# Folio 9, page id 727094130:0021
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=727094130&page=21
# Source image: https://digitale-sammlungen.gwlb.de/content/727094130/jpgs/default/00000021.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 35 lines, status machine
# Lines: 35 recognised, mean confidence 0.91
# 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.

e aspicienti per punctum F, appase eplendens in M; explo-
eato isicur angulo
NEV, CCUGEM;
differencia inrer il
lum, _ priorem an-
gulum OF V, Cou C.
L L. dabic anguluem
retractionis quaelicum
NFO, comperen-
cem anculo inciden-
cix NF V in aere,
quod Faciendum crat.
Dui alios, retractio.
num angulos inveni-
endi, modos dehde.
eac, Viceltionem,
Hexplerum, alio sque dioperices auctores contulaE.
Fop. 3.  L Foblema.
Datis duobus anculis, non obtusis, invenire ellipsin, ut linea avi pa-
rallela, in eam incidens, efficiat sum tansente anculum, egualem
complemento majoris, es recta a puncto incidentiae ad focum
maxime distantem, efficiat cum axc anculum aequalem minori.
Inc dari duo anguli AB C MajOr, DB P minOr, Rrque in-
venienda elliphs cangens lineam RB P ad C B perperdicu.
larem in puncto B, cujus axis rectae A B Sic patalleluS, _ linea
BE perfocum maxime distancem cranleat. P er piinetum quodlibee
lineae F B, nimirum L, dueatur linea A B parallela, L O, qu_
uerinque produeaeur: produeatur C B in O, _ sic atigulus OBL
aqualis angulo OBF AEqVe MI H aequalis F B e B L Simul;
quam sico esse orem ellipleos quaelicae, posiris Focis L. e F: aXC
MN, _ FOcis L E, describatur cllipsis M B N qux necessario
cransibic per punctum B; quoniam P. B, B F. Cimul sine requales
axi MI N (PET CONVerIUM, 52 lib. 3. ApoN.) e quoniam anguli
OBE, OBL. sunc aequales, E 2 rectis RBO, OBP ante-
ranEUE,