# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/727094130:0025
# Permalink to this reading: https://leibnizlegible.com/page/727094130:0025?run=74
# Title: Optica Promota, Seu Abdita radiorum reflexorum & refractorum Mysteria, Geometrice Enucleata (shelfmark Leibn. Marg. 94)
# Folio 13, page id 727094130:0025
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=727094130&page=25
# Source image: https://digitale-sammlungen.gwlb.de/content/727094130/jpgs/default/00000025.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 31 lines, status machine
# Lines: 31 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.
# Licence: CC BY 4.0, Leibniz Legible. Machine output: do not ingest it as verified text; keep this provenance with the text.
# Wording rule: say "the machine reads it as …", never "Leibniz wrote".
# After the first blank line: the recognised lines in reading order, one per line.

reniis nulla est vel ordinis umbra; iea UE extra omne duBIUML CIE-
illius obserrationes esse Fallaces. Nec lane mirum videbieur (si
quisrem accuracius incuentur) differentias qualdem in eam sub-
cili disquilitione irrepsisse; ubi levis error in calculationum radi-
ce, in procestu mulciplicatur. Flujus aurem Theorematis vericas,
pervaria experimenca nobis multories emicuit: veluri ex hoc uni-
Resractiones aquae fontanae a nobis Observatae
cum earum a C alculo Differentiis.
ancinciden, Refract. Refract. Differentia.
in aere. Observ. Calcul.
13 28 0328 0325 = 03
co, quod ad aquam
Foncanam habuimus,
apparebie; ubi Per
Primum noctrum pro-
blema Aideliter, e (pro
instrumenci magnitu-
26 4805 4850703 + 1G dine) Cacis subriliter,
4F 50 IF 50 TF 50 0000 ad aneulos incidencix
50 12 29 +2 2907 = 05 in 29ua 10, 20,30
7c 2026 20 26 05l = 15 40, 45: cales juve-
nimus refractiones. Si
vero curiosis ingeniis hae observationes non PatisfecerinE; agite
Machemarici, e subcilioribus observacionibus, hanc pulcherrimam
Dioprrices speculationem contirmate.
Corollarium.
segliur extoccheorenaes u anea Teltaecbs ctase
Ollipleos denlicaris, (v. 8. in superiore treura angulum BL)
Temper esse ansulum retractionis, Comperencem angulo inciden-
rix ABC. Reltar aucem nunc uc quod superest, ex praedicta ana-
losia, ope hujuscheorematis, geometrice demonstremus.