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# Title: Leibniz-Handschriften zur Optik und Dioptrik LH 37, 2
# Folio 50v, page id 00068531:0100
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 43r); this page is its left half.
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 39 lines, status machine
# Lines: 39 recognised, mean confidence 0.90
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num. 11o
vorro in hyperboles sic descripta supporat , gd Imea 2b detracta
ab iila congotud ine h b, hoc e 9d o2 reliqua sit semper aqualis
linea Ih detracta bis ab slla longctadine h b inea h dihoc
e, 9d 0r sit aqualis ipsi H d.
2
qu ductâ per grunctum b tangente e b e angulus c65 aqualis sit
angulo n b9
hb e., - 3. qd Contamenten perlincam b e bctariam
duisus erit angulus h b0. A. demqu, gd h e o perpendivalis e
ipse be, et paralela linea 9 b nt, quae rangeriti supponilur
perpendiculanis, sequidem Tringulus h bp
e isosceles cujus basis
no auuditur aequaliter por Imeam b ex.
Ilis posilis demonstrat oco eundem ee hyperectes pirietatem alque
elypsis, eamq similiter porallelos radios extra se colligere in foco
sibi exterione notato littera 2: nam facto H d ad h2ut senus
mudia ad senum retractionis, sumpraque d Aba aquali d b1 e
dudis ab Atroqu pamto a et 1 perpondicularibus in g b
ostinduntur semper ce snter se m raoe quam k d ad hi, hoćo
smus mudra, ad snum retrattionis, eos q pronde senus in dicta sioura
exhibere. hoc ostondt carthesius in hunde fere modum. Mangalan
Dal ing sunt semilia et patet, alqs adco 29 e ad a l ut
1 n, ad b a, vel ad bi qua ipse suppontur aequalit. porro
cum h0 Mt parallela ipse nb; i n orct ad i b ut i had
10, vel ad H a; nam ex prima suposctione 10 et k a sunt
aequales; 90 a pe ad ullimum 2i g e ad a L it jh ad
H d ad erat demonstrandum. radius g0 a b cadens in
punctum b ita resimgetur in suporteuie extenons hyperbole ba;
ut ad ad foum ipsius exterimom i praecite remillatur. hova
de quoumqh alio ravio parallelo similiter duci et lum punctum
b et hee radius ita oletus sit, et alius ponnde olege potuer et
de quo id qusum demontraretur. verum aliud jam nobis dlemonstrare
incumbit, et eum divermus antea ad minuendum sasuedium demontiraoum
geometricarum, quas ex carthedio athalimus duo sn mmimis Hilissima
Illarum ope jam ehfai polle qua er in dioerica hactonus erant sules
fomo sindemento Aabolita, haec quoo certo jam determinin sesnt
nobis e altondondum.
probaturi. qd c. loco ditam e, quomum alterum ex illo pendet.