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# Page: https://leibnizlegible.com/page/00068531:0169
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# Title: Leibniz-Handschriften zur Optik und Dioptrik LH 37, 2
# Folio 85r, page id 00068531:0169
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 90v); this page is its right half.
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068531&page=169
# Source image: https://digitale-sammlungen.gwlb.de/content/00068531/jpgs/default/00000169.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 36 lines, status machine
# Lines: 36 recognised, mean confidence 0.88
# 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.

magnitudine, porre calculo invemrr potest vorsus quod
quique
punctum rectae DNI onuse radius por vitrum pormeans
refractus tendere debeat. Supposita itaque vini rofractionum
magnitudine cognita, ita ut si AL supponatur ∞20,
Dego
Gi aequalis sit e carundem partium (talemr circitor 
votractionum vitri magnitudinem obsirnani:) prout tum
se habet 20 ad 13 ita AL. y. ad Gr, XZ ergo 20X2∞ 13y,
et 20X2 ∞y, et 400 - XXZE∞yy. Sod ropirta est Z5(YZ =XX
3
169
XX
=V = - XX, ergo Z erit etiam aequalio Y400 Z7 - . XX = 1I = XX
69
et itaque innematur desiderata longitado NI qua vocata
fuit 2 cognita sumenda est BF, qua vocava fuit x.
Liurgo jamponatur
X X 0, erit Z∞ 429, et erit omnium longissima
231
XX 2, rit 27 paule ampliusquam f
XX 3. rit 47 paulo amplius quam
... 300
X7 21 erit 27 paulo amplius quam 10 447
X7
25, 231
rit Z7 paulo ampluisquam 17.. 310
41 2 31
X  Herit 27 pauloamplius quam 20. 60 7
1
i2 
 parle hls
XX 1201
ritqx
S14950
paulo auplius quam 1201, 231