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# Title: Optica Promota, Seu Abdita radiorum reflexorum & refractorum Mysteria, Geometrice Enucleata (shelfmark Leibn. Marg. 94)
# Folio 95, page id 727094130:0107
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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 0.93
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distanciam esuldem ab oculi centro, ita tangens semianguli vilorii
imaginis primae ex oculi cenero, ad cangencem lemiansuli vilocii
ejuldem imaginis primae, ex verrice sux emertionis, vel lemianeu-
li rilorii imaginis secundae, ex verrice sux incidencix:  rurus
ut diltantia imaginis secunda a verrice sux emertionis, ad diltanri-
am ejuldem a verrice tux incidencia; ita eangens semianculi vis
Porii imaoinis secunda ex verrice lua incidenrix, ad rangentem le-
mianoulivilorii imaginis secundae e verrice lua emertionis, vel
Pemianguli vicorii imaginis certix ex verrice sux incidencix: Ec ica
progrediacur ad semiangulum viforium imaginis ulcimae ex verrice
Tuae emertionis, Ceu rilibilis ex verrice suae incidentiae, qui semian-
ulus duplicatus dac angulum visibilis quaesirum ex verrice sux in-
cidenciae. Demonstrationem videre licer in Prop. 58 e 57 bu-
Iu5.
DE Mechaniea horum speculorum; et lencium, ab aliis Frustra
TenEAE; Cgo in mechanieis minus verlatus nibil dico: dudacter
camen assero, optica perfectionem in lentibus e speculis (phaericis
Frustra quaeci. Si vero cui plecenc pocerie praecipuas hujus cractaruli
propoliciones, sphaericis applicare; ethi non adeo perfecte: Porcio
enim phaerae (praecerquamm quod ractios parallelos in unum pun-
ctum non congregec) locum imaginis praeher in una superticie
Sphaerica, habemce idem centrum cum porcione; quae luperticies
sioo pocest omnimodo concurrere cum alia superticie sphaerica: Ca
listamen concursus requicieur, Calcem ad sensum, uc ex praedictis
Pacis apparer. Alix eciam lunc lentium sphaericarum imperfectio-
nes, a dictis emetgences; veluci, quod in celescopiis mulcum am-
pliticaneibus, perciners ad imginem ulcimani. vix poreric ulera
duosvel cres orhous dilacari; ut computanci facis parebit: unde
Deorenic horrenda obscuritss. AC COnTTA, lenres hyperbolicas FO-
lum objicieur, quod nihil possir ciltinetittime videri, Praeter pur-
ctum vilibilis, in axe machinx existens: Sed haec intirmicas (C ica
appellare liceat) in iplooculo est Pacis Manifelta; non cattien na-
curx impuranda; quaenihil frultra, sed omnia quam commodissi-
meperasic. Nihitominus, lenibus, e speculis conicis non con-
cettis; Pacius erie porcionibus sphaericis uti loco sphaerideom e c0-
noideon parabolicarum, in caroperica; quam hyperbolicarum in
dioprica; cums quibus porriones sphaericae minus conveniunt.
His itur ad astra.