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# Title: Leibniz-Handschriften zur Optik und Dioptrik LH 37, 2
# Folio 77r, page id 00068531:0153
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 78v); this page is its right half.
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068531&page=153
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 84 lines, status machine
# Lines: 84 recognised, mean confidence 0.83
# 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.

cujus cum data sit ratit ad TS. patet prius opus esse puncta
recta TS. id est puncto 7. Est autem recta ST una
ex ordinatis rectae FS ad AZT. Ergo quaerendum
ed huc unum ipsius Fg punctum ex quo possit duci
ordinata a AgF quae sit cognita sumatur igitur
lam A3 B A R+ R3, i   R3n habetur supra
297 Ag - A Z B LFm, L. (-   V.alm - 12 jam 12 1 , v.
Ergo 29p;  Im V.  jam Q 7 2 9 quod + 93 quad.
seu 2 eni (almp + v +  m v tila v)
23⊓Y m +V B R3 quada Re quad
quod jam tum verum esse patet, itaque ad
invenvendam inutili cirgurtu usi sumus, vea
(S11
rec
ex quaadinata ad AQ duci potest, talis.  perpeatim
est recta GX GAB, nempe axis sumatur ergo
commune est, et ex 3 in A29 ducatur perpen-
dicularis 39. Cdis AR9 _trianu. sim. 193. Ergo
AR. RB. A2 seu l B. :: 519: 93: 13,
ergo firt: AgBLAm, C 93,, lm, B
p Est autem p P + V. Ergo fiet
seu
Ergo q3 plm v B t 1 p v
ipsius Fg5 punctum tale quod sit in alia recta
 en) ipsius AZ FL S3 punctum 3 quod ipsi cum axe
A
jam ut Q3 ad Z5 ita 93 ad FS. ergo
TSp 25, 9.
23
Lvoltm jante. TSe
Ysm t jam C: Tsiific
Ergo oc  olum. et 2f. -B
c smeo e b
Pono AB: 8B: A BC: AtA Z AR: Rg: Aqseu l. v: 1
Ergo B8: s8 :: v: l. seu 88, 17 282
A2+ 28
ne+
Rursus 2 = 2C =C L: 3 (. C:: 28: B8:: f h lm a Seit nt fo lam s po c fic ret B  loiv
Ergo B8p 2803 1+ 28v. Ergo L8 28, D. 1p1vO + 24v0
Ego to 28, tu l00. et B8H 3l. 0v
jam QC ad 8
D
(51 -00
AB, A 8 quad + B8 quod. Ego. 28, ( 3tNr2 100 2 eY
A2 1 292 4 48
Unde si auferatur A A B A R + R Ap L + Z.
fier: ABH.  (BD 4v - 21030 - l - 2
Or
gegio
quae debet esse aequalis datae a.
itaque explicatis _D. O. m. l. y. p. 8.
quemormodum id fieri potest, adhibitaque
aequatione sive enalogia superiore, inter
X. y. Z. V. iteque assumitur relatio
nova seu aequatio adhut una inter X. y. Z. v. (vel
si placit inter Z. v. ) ialis, ut conjungendo
haec cum aequatione data curvae relationem
inter x et y exprimente tolli possent
destini possint omnes indeterminatae
et ita solutum erit problema. alculu
sit lava quaecunque, in quam incidat rad,
DF quomodocunque id est sive parellelus sio
convergens sivee divergens; is poductus occurrat
axi in 51. si parallalus est illi Ariuc si
infinilo aberit intervallo. Sponaturque dari
G5I ex puncto 5t ducatur
la  FB,  pessendicularem  curva
ipsam G P vocemus F pporro quiu datur G5) et
FG dabitur F5) quam vodemus f et centro
F radio FSI A + describatur adeu 515533
occurrens ipsi Fp in 33 et suu ex 33 educatur
perpendiculariter ad partes 51 ipsa 3344 aequi
quae sit ad 5H1 ut  C ad b inde demissa
perpendicilaris occurret arcui ciculari 5155 13
in Ss ex 5 et ex 55 perpend. in KP.
Quae est 55 22 ers aequ. 3344. Juncta Fss
eut radius refractus. imaginenum punctum
incidere puncto 5I. et Lipsi 11. et M ipsi 5es
et Nipsi 22.
. Vn 20m
Elagova oetrae
aHBZ traltra atz in
r. 1 +9V- 2071
 (a reo: lliro)