# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/727094130:0022
# Permalink to this reading: https://leibnizlegible.com/page/727094130:0022?run=74
# Title: Optica Promota, Seu Abdita radiorum reflexorum & refractorum Mysteria, Geometrice Enucleata (shelfmark Leibn. Marg. 94)
# Folio 10, page id 727094130:0022
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=727094130&page=22
# Source image: https://digitale-sammlungen.gwlb.de/content/727094130/jpgs/default/00000022.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 40 lines, status machine
# Lines: 40 recognised, mean confidence 0.83
# 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.

u DBP, AEBF ∞UaCS, Cat 
cuc Uinea
in pulscto B
lPEF COD
etum 48
Lacctes, cuIt
A B, axi MI
BP elsiplin
ve
esti
lib. 3. ( pol. )
A Paralle-
gulum
dem com
RBA aequa
t
eHCO
carcur, relinquunu i
ma)Olls IL
Darallelis-
mum line-
arum AD; M. NS. ansulus ad focum remoriorem B F. O, equalis
est angulo daco minori D B F. quod erac faciendum.
 pacta ven
D. 4.. Theorema
lisdem posiris, dico sinum differentia angulorum datorum, esse ad sinum
anguli majoris, ut focorum distantia, ad avem ellipseos.
DRoducatur enim linea E B in T; Scg; B F aequalis B L, e
L ducacur TL; cruncisirur anguli BIL, BL I, aequales, e
L BF aquales ambobus simul, erso e P. BO semiltis anguli
E BL, aqualis eric angulo B T L, criangula isicur EBO, F TL
Tunc aequiangula; est aurem angulus BOI. aqualis majori daco
ABC, ob porallelismum linearum AB, MO, eAque angulus
B F. O aequalis minori anoulo daroD B F: B F. O aurem _ OBF
Tunc requales angulo B. OL; isicur angulus OB B, vel illi aqualis
 TF, est differentia angulorum dacorum ABC, DBF; est quoq3
angulus ZEM aqualis angulo BOL, vel majori dato ABC. COn
cludimus
anguli dari
BC; &0b