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# Title: Leibniz-Handschriften zur Optik und Dioptrik LH 37, 2
# Folio 49v, page id 00068531:0098
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 44r); this page is its left half.
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068531&page=98
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 36 lines, status machine
# Lines: 36 recognised, mean confidence 0.92
# 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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# After the first blank line: the recognised lines in reading order, one per line.

ad 91, it d k e ad h 2 qd erat ostendendum: pr 90
9d 02 e aequalis ipsi a k. et ex eo pr, qd 0b, oue aequalis fit
ipsi bh, qua rot supra dectum e adaita ad b l aequalis e maa
mxa diametro dR. unde sequitar id totum gd demonstrandum
suerat, nempe qd à l set ad gL in ea rationes quam hent
inter se a K, et h 2; cum à d k et h 2 eam Teont inter Le
raoem quam het sinus anguli sncdiae ad simum angule retractionis,
sequitur in illa eadem rae  a l et 9 1, verosque monde
in hecc segura Fe ce atque extibere simes al quidemmudia
gevero netractionis.
Vnde et apparet qu’sepsus radius ab a sn b ad perpondicdarem
9 accedat vsg n 2 focum ellypsis entenorem, qda necmagis
me nmus possit ad sem accedere. id vero eum pernde de
quocumqe alio radio pbari possit, cum alius aeque erigi potuendt
de quo id demonstraretur sequitur qd radii oes quecumest et quolcumgh
veniant a pertibus a parallele axe d K procite concurrure
debeant ae fouem c’exteriorem, atq ado qd sigura vitre
si Mopteca sit demonstrari ca vost apta ad colligendos radios
in onum gddam punctum, et gd geopetrice in detrari
posset ad quod pracise in sla sint pos retractionm delorquendi,
suecte fucerat inio pposctum demonstrare.
HC porro vnum aduertendum e qd Soctasle antea datromtuit
nempe qd radii a supersicie curaa elyptua aut alia quuumque
ita detorqueantur, ae se in puncto smudia aut alio quovmyh
plana seperfecies cet qua in sigura per sangentem e crepraesentatur.
vi quaras unde hoc heatur, reo od expersa ipsa onset in quacumqu figara
qud superticie curua senninetur, suve quoad angulum restenions, si
sit crus opacum sive quoad retractioms angulum si diaphanum sit
Demonstrat in Carthesius; o minus feluitor punctum oncursus
ac pelluudum.
radiorum axi parallelorum in hyperbole, sed priusquam ad slam
demonstrationem transcamus Bhonum erit hue aliqua adnstare
quibas de rioistato eonstet huuus utrius ost demonstruois M
ollvento divestruca ut videlicet hoc vtrumque ejus nuxtum tanti siat;
quanti reipsa astimari debet hia oobu onvidoratio et acairate
perpensis quae ex iilo dedluui posunt ad qius droctrua portatinem.