# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/DE-611-HS-957479:0015
# Permalink to this reading: https://leibnizlegible.com/page/DE-611-HS-957479:0015?run=82
# Title: LBr. 454 · Augustin Thomas à S.Josepho
# Folio 8r, page id DE-611-HS-957479:0015
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=DE-611-HS-957479&page=15
# Source image: https://digitale-sammlungen.gwlb.de/content/DE-611-HS-957479/jpgs/default/00000015.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 82, 2026-09-09T18:17:48Z — 35 lines, status machine
# Lines: 35 recognised, mean confidence 0.91
# 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.

A. P. Aagus ino homae a S. Josepho. scholarum niarum Vicerectori
Hornae in Austriat
Reverendissime pater, Faulor Honoratissime
un haec studia Numerorum diu intermiserim, et nonnihil
festinaverim in nuperis, video nunc me non instituisse sufficientem
enumerationem omnium casuum, et ita etiam alia ex: mpla
locumhabere licet b sit integer primitivus, quam unum illud
ubi B sit 3. nempe in X et y fractis, licet b sit integer.
Exempli causa cum duplus quadratus Unitate auctus, dat primitivum
potest is inservire pro b, gita ut sit b = 1=+ 2YV. verb. gr. b = 19
posito v =3. ita X erit =b: vv, et y =+ DB, : v. posito
ac
in Exemplis aliquot
3 + 1 =4 =
19+9 - 100 = 1
9
72+3b = 1369 = 3
163 +81 - 6724
181
81
i
2
G-y)
prosequendimum esset hoc argumentum, ut dato aliquo Numero b
primitivo vel demvativo, integro vel fracto, vel dare possimus
omnes solutiones possibiles, vel demonstrare impossibilitatem. Ita
perfecta esset hujus problematis Analysis. Et mereretur saltem unum
hujusmodi problema perfecte elaborari, speciminis ergo. Sed haec
fortasse junioribus commendari praestat, ut in via jamaperta
longias progrediantur. Vale e fave. Dubam viennae Austriae
b actob. 1713.
p. S. p Hac Epistola jam heri quando vacabat
nonnihit, scripta hoc ipso momento circa meridiem) ruas accipu
a duo Theobaldo, qui testis esse potest me quoque jam sepiehendisse
non tantum satisfacere primitivum 19, sed e alios omnes prinitur