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# Title: Optica Promota, Seu Abdita radiorum reflexorum & refractorum Mysteria, Geometrice Enucleata (shelfmark Leibn. Marg. 94)
# Folio 102, page id 727094130:0114
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=727094130&page=114
# Source image: https://digitale-sammlungen.gwlb.de/content/727094130/jpgs/default/00000114.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 32 lines, status machine
# Lines: 32 recognised, mean confidence 0.85
# 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.

Loolema
Ec ellangulum sphaericu , cad habens, omnia latera, de
omnes aneulos; Cicq. dacus arcus maximi circuli D F, X in
trianeulo spharico AB C, demitEatuT arcuS AL in lacus oppolicum
BC; deinde arcui A L aequatis F. O, auteratur, a ld P; _ C daCd
ratione, Cinus arcus D O, ad tinum arcus BL, quaerituF, RE AECUS
DO_ arcus BL. AB angulo A, in latus opposicum B C, demit
EaCUE PeIDCMILCMaTIS arCUS A P; qui dabitur, cum sesmencis BP,
PC; quoniam omnia la-
cera, _ omnes anguli dan-
cur in criangulo (phaerico
ABC. PONaEUE itaque
InuUS aECUS AI. F 2t, e in
criangulo sphaericorectan-
sulo A P L, C daris siBU AF-
CuS A D, _E TIHU AECUIS A
L3 nerDe F H; dabitur
_ AHUS aECUS L. P, in nume.
ris corticis. Deinde daris,
(IHU arCUSL. P, _ Cnu ar-
Dato triansulo sphaerico, e aren circuli maximi; ductoq: ab anculo
trianculi sphaesici. in batus opposicum, arou circuli maximi quoli-
bot; c data racione sinuum, undas fesmenti lateris; es differentia
drchum: ateris  uts e Vene
Eicis. Et eodem modo; C dacts, sInUaECUS D F, dC Sinu arcUS OF
euSBP, dabitur ex sinus arcus BL. eorum differeneix, in nuneris co-
empe EI: dadicur e unus alcus DO, corum differentix, in nu-
arcas BL.5 dabicur hinc aegualio, Cx cujus resolurione, innocescet
valet radicis. inus nitunt aicus H L, vel orcus F. O; quo dato,
eris cossicis. Cum95 sIc daca rario, Cinus arcus DO, ad sinum
Facile daneur reliqui, qua invenien da eF aNt.
FOP