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# Title: LBr. 57, 2 · Bernoulli, Joh.
# Folio 232v, page id DE-611-HS-3653099:0464
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 233r); this page is its left half.
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=DE-611-HS-3653099&page=464
# Source image: https://digitale-sammlungen.gwlb.de/content/DE-611-HS-3653099/jpgs/default/00000464.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 61 lines, status machine
# Lines: 61 recognised, mean confidence 0.77
# 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.

in me missas gratias habeo, quas ut remvaerem mitto qua se
nqunatum. Sitradius = v, Arcus =a, Tangens = t, secans = 5.
n Et erit a = t-
nEritque t= a +
X3
312
a-
ErE
n et 5 = r + a
25
5+4
2a5
1504
Xd
716
ija
315V6
+ 5a +6)a
E4V3
72015
nsit aum Tangeas artificialis .
+ E-
9+
62a
B.
2835X8
277a6
8064+7
E.
ta.
Jam quod spectat ad srimam seriem a- t-
e
3F=
e
-
5t4 706
s
potest esse ut ea nunc demum ab Editore Comercm Escistolici hue
Epittola Gretgorianae fuerit callide caserta, ut lua quadia
tura Arithmelica circuli = 1- L+ S.- L V jam ante a Jac.
Gregorio comunicala ad eoque caventi gloria non tibi sed Grego
vio deferenda dui posset: Probabilem eaim reddit hanc conjectu
vam locus quidam ia queu nuperrime iandi legeas in Davidis
Gregorum Exercisatione Geometrica de Diniensiona Figurarum
Impresca Ediaburgi aano 1664, ubi hac diserta habentur
verba it Fortassit aotatu digaum erit, hinc consepui prae
inslanlisciai Geometrae Gothofredi Gilberti (Guilielai) Leit
n nitio circuli Occadhatura transat. Thil. Measis Arrilis aani
n 1682 editam, si aecpe ponatur DA = L,arcus AF 45gr.
nerit AC etiam =, unde erit sector DAF = LD AX AF arc=
D LX L = 1X = - = x  + x L =  xC + X = = . Ejusque vitu
in pluur imirum Circulus cujus quadratum circunscristum
3 e 1, erit 1-  + f-  +
. in infinitum.
Ergo David Gregorius ascerit Tibi prima iaventionis glo
viam, quis autem tam vacors essetent putaret, Davideur hoc
fecisce in prajudicium Jacobi Patruisui, cujui inventum, si in
ventor fuisset, ipse ignorare non poiniscet, depradicans alioquin
singulis fere pasiais ejus methodos et series fatenu ab inilio sue
LAita Lips. a. 1687 p. 196. hane Exercitat. receus oit, el ejucdem quoque locines
fionum faciline