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# Title: Leibniz-Handschriften zur Optik und Dioptrik LH 37, 2
# Folio 79v, page id 00068531:0158
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068531&page=158
# Source image: https://digitale-sammlungen.gwlb.de/content/00068531/jpgs/default/00000158.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 26 lines, status machine
# Lines: 26 recognised, mean confidence 0.84
# 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.
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# After the first blank line: the recognised lines in reading order, one per line.

per calculum alibi factum constat posito curvam F esse circulum, cujus
centrum A, radiumque incidentem EFH, refringi in F(H) sore
positisque AG, X GF, y. AH, h AH. (H). et sinum
fore () aqu. anguli refractio ad sinum anguli incidentiae ut cad
fore (h) aequ. Sch: St +hxbs bsEhCs ptex - fck X
si ubi ad caliuli comprobationem serviet, quod ponendo b aequ. C, fit b) aqu. h
nam fici (hh bbsB) + 2LX. Lst 2tX bl 1s + bbs= 5) bbhh) + bb thxX, - bhX ego lch. B)
seu bs(+bhX = bhiX aequ. Ssbt: Ch) ergo h a qua Ch)
jamm sit ED. e. HD. d. posito punctuum E. esse datum. dabitur
ED  seu e. Dabitur et AD, quam Vocabo t.
AH+ AG,: FG:: AH + AD,: DE, sive h+X,: y:: hat +,: e
seu het ex aequ hy+ ty. seu h aequ  Ly - ex, :  C- y
et hh aequ l’gy - Ete yX + eC XX: ee- 2ey + gy
Unde fier (4) aq. ScFy. ex: Aex
seu
Ats Ex= 2teyx + Cexx + 2X ety- 1s +tx -Cx + exy bs-  txy + Cexx
1) ago sse ty exB Tollanus irationales. fuciendo (D O chx a quissch .l)
Z+V52- ess es Fs Exx- iteyx + eexx
fiet O: c
seu O, usequ S cchtr = 25)  tih X(h) +  CCtih XX (41)
Cs s t atib b5 hi e) 4 212s 2hte 14 ( bshi) - C hicti) (a xtibi, uq Se . etr  x h. )
et divisiromnib,s per Sh. fiet: si fingamus. 2b fXt_ti) aqu 262s tanCh.)
st ct) +2bXCL.)  t se fingamus: 2b s Xh(h ) F b5 4) aequ s Cti a 25 Ct X )
et quia h aequ. ty- ex,: en y fiet: he-hy aequty- et seu fiet:
s. Xx . hn+ iht + F aeque h rehx + exX
lum pro parillelis sit EF et DA sit a in circulo haequ. NC: 1bs- e - ex aq H