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# Title: Optica Promota, Seu Abdita radiorum reflexorum & refractorum Mysteria, Geometrice Enucleata (shelfmark Leibn. Marg. 94)
# Folio 127, page id 727094130:0139
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=727094130&page=139
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 38 lines, status machine
# Lines: 38 recognised, mean confidence 0.92
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# After the first blank line: the recognised lines in reading order, one per line.

arcus Z. L. Ec in criangulo sphaericoZ. PL, e datis cribus lateribus, in-
veniatue angulus L.L. P. Sicgs centrum umbrae, seu oppplicum cen-
eri solis O; _ quoniam dacur ipsius declinacio, ec ascentro recta,
dabuncur in criangulo sphaerico LPO, lacus PO, distantia centri
umtrae a polo, angulus OPP. differentia ascensionum rectarum, et
lacus L. P oblervatum; dabitur ergo latus LO, ec angulus OL. P.
Deinde a cevero umbrae O cadac in circulum verricalem ZL, e ve-
re, _ apporenter, per cornualuna cranleuncem, arcus perpendi-
cularis OM: Fc quoniam duo circuli in sphaera, nempeicirculus
lunae, e circulus umbrae, se muruo lecane in lunae cornubus; arcus
2 polo unius circuli, perpendicularis 2d arcum circuli maximieo-
rum incerfectiones jungencem, nempe OM, bitariam dividic pra- Theod. 2. 3.
dictum arcum in puncto M; erie igicur M locus verus illius pun-
eti, cujus L. elt locus opparens, nimirum puncti mediiincer cornuis
_ arcus MI. ejuldem puncti parallaxis. qui repericur ex resoluci
one crianeuli sphaerici LMO rectanguli ad M, C datis anguloM L
O= ZLP = PLO, _ lacere LO. Deinde sic H verus locus unius
cornu, e incriansulo sptiarico M N O rectangulo ad N, C datis
MII, MO, dacur NO, Cemidiamecerumbrae. Uc aurem geometri-
eis ingeniis aliquanculum Pacistaciam, duo hanc parallaxem esse
Benuinam parallaxem, cencri illius circuli in corpore lunae, qui du-
cicur per illius cornua, ec noltrum vitum; daca aucem hac paral-
laxi, porerir inveniri ex geometrica parallaxis ceneri lunaris, Per 69
hujus, gua nunquam senlibilicer differe a Parallaxi nunCinventa.
Scholium.
quoniam difticulcer insvenitur alcensio recta primae tella
 ec parallaxis lunx mulco exactius inveniri poterie, per com
mu azimuch sccundunt  r, 65 hujus; Cacius eser per paral-
laxeraa seu secus e usus Problematis convertum, alcen-
ionem rectam prima stellae tirx investisare. Scacuebam de theo-
ria lunae quadam adjungere; sed in ipsoveltibulohaerer Parum, ab
altronomis adhuc inconcussum, e ingressum geomerricum omni-
noprohibens: mocus enim medii lunares in hunc ulque diem,
non decerminantur mechodo
oeometrica. Illis vero luxpoliis.
ec datis rribus locis lunxe in ua orbica, a secundis inxqualicacibur
liberatis, porerit inveniri species ellixseos lunaris, et politio apo-
eit