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# Title: Leibniz-Handschriften zur Optik und Dioptrik LH 37, 2
# Folio 51r, page id 00068531:0101
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 42v); this page is its right half.
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 63 lines, status machine
# Lines: 63 recognised, mean confidence 0.90
# Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German.
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Werico his sere concepta erat verbis: Dixi qd jam cert osendi ac
gerotmie detrari possint ea oca quae spectant ad ormodam radiorum
luminis snstexionem per quacumq votra Ellyptuis hyperbolcusve trata
supersricebas, atqst de hes constare, qd apta sint ad inflectendes rudios
eo omni modo que requeritur ad eos tum collegendos tum in quaquaesum
aspergendos, idque vel ad comburendum, vel ad spatium gdeumest collustrandum.
otrump facile ost enditar. et 1. quidem demonstratur qd ope rentin
euiuscumq vetrea, quae trata sot Ellyplica supertrice Concura et cinculori
I
superticce concaua possint radii solanes ad autum galibet punctum,
et ad quamumqe disttam a vitro positum ilà colligi pot colle ad hoc
panctum incendium silico exestent ctqse Comburant
Sititaque datum panctum 1, et distra a vitro, i asuperticée
eus concuxa I d, describatur Ellsplis ex 1 foco enteriorae
per d’ilaut sit hor homologa, et epesdem speciei eum prius
descripta, sercetur inter dcametrum ejus majorem et partem
ejus qua continetur intra faos pportie qua e inter angurum mudia
et angulum refractionis sn vitro qua e fere ut 3 ad 2: dende
m ex puncto 1 describatur superticies circolaris concexa ejusdemoitre
pp, duo qd radii oes solis paralleli a aa concurrent ad datum
punctum J: hoc constat ex suporiori demontratione, nam de
hibus silis radiis idem pt demonstrari gd demonstratum  doradio
ab, uti auctum e; atqui radius a b post retractionem sn
Superficie Elyplica tendt ad punctum 1
et per sllud transd.
g0 et alii oes per illaud idere transibunt; nequs porro otHlabet:
sujertocies ceneauu trosbes quominus des huo sendant, nameum desorista sit
ex codem puncto c ad id sendunt erunt oes ille radii ad Mam perpendiclares
etncllam moinde in ille retructionem satientur, sed MMesi Aq irresrato
oco per slam tracidentur vses ad punctum cencusus; gderat demonstrandum
Jamvero qd ad punctum illud sta collecti radii cemburant manisoruma
exipsa erperia et rao physcia probat; sit 
in Mo pancto onio
sitensuca graduum oium calores, que sn singulis radiri lante onionem
erat despersus. Nota c 9d. 0 siat
solarium in puncto Mo neg  des
unde et spatum alip
majus votrum e, quia ad Aliues
aucergentes abqidem Meratis
se ad accense
utradi tuuus
snuersa otra
exsquiscte sant parallilo snter se
superteciem
proseul
Tantum spatio
Candesla faecem
mcmentur
votrum
pertecta onio radionum oium
occupant crca Todum
etra vitrum in exequo
appariet
mxe
asperrbit
ad vitri
dlyplis eo magisiquo
mages inclinantur radi
unde et spenem soles 1
designant rl maniseste
sam propo admouentur vitrum
Supersiccem, nami speies slomme
qdo fiet sattem in Fammagn.