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# Title: LBr. 355 · Halley
# Folio 1r, page id DE-611-HS-970471:0001
# Scan: The same scan is also registered as fol. 2v; its text is given once, here.
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=DE-611-HS-970471&page=1
# Source image: https://digitale-sammlungen.gwlb.de/content/DE-611-HS-970471/jpgs/default/00000001.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 86 lines, status machine
# Lines: 86 recognised, mean confidence 0.85
# 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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Nobilis simo et de utra Re publica
meritifsimo rrio
DN
VNd0 HALa
EtC
odefridus quiliethras Lerbnitius
Faustissimiitineris voto aliud adderem proma reditus
nisi ex cE intellexissem conclamatarum in italia Caesanis
renum indicium fore. quod ab sit imen.
Incomparabilem Nectonum hortare quoso, ut quae parata
habet in publicum dare, dhutius ne grvetur sin tardat,
E reducemt ad Aegliam comitabor, ut junctis viribus expugremus
miam Abjectionem hic adjectam mitto
vale et fave. dabam Hanverae 14 jul. 1709
quae si novenariae conjungatur, difficilius
error ob repere potest 
nemplum esto Numerus 369 4528), quihabet Residuum 
Undenarium 10. differt Abjectio Novenaria abuna
naria, quod in illa notae adendo conjungantur ut habet, in hac
notae locorum imparium inter se (compurando a dextro ad
sinistrum) et loca notarum pario nodae parium etiam inter se
Et a residuo pari  imparium pert 1 Si opus auctos
et habetiturtr
suum quaesitum
Catactis mente confici potest
residuum parium aufertur
ur sit opus fere non sit ue
lad Nov
94528CA b2 l02
R 4S.B 42 9
et 4726405. ( 105 511
11477 81 1240613
29556224800.691
810
105
to
50,
18Z 4
1e 38
esia 
803
3121 87624 45F  id9
Exemplum esto Numenus A
36945281 multiplicandus A
per 845B Residuum ulti.
picad est 10. Nam ex
1+ 2 + 4 f6 abjecto 11 restat 1b
qu  restat 2, Et ex 8+5+9+3
abjecto II restat 3, et 2+11 - 3
res dat 10 Residuum
maltiplicatorus est 9. et 10 per e dab 90, quod dat A n  seu 2 unde g
ipsiga B
6g0
Rmo Menegatto ut salutem a mes cum, mutta perpetui
cultos significaione dicas oro.
restitantem,
Un denariam,
1
Abjectio Undenaria
a ∞ +11 restat 2. Ergo debet productus etiam dare  resi duum 2. quod et facit.
soleo autem melioris comprobationis causa, et ne er ut ut eo maturius
 detegatur eror statim in quavis multiplicatione partiali
velut per 5 per a per sradhibe vel novenariam vel undenariam
comprobationem, vel si res tanti est, utramque. ita R10 per S dut S0
unde id est r 5 + O+ 1I restat 6, ergo emaltialic productum multiplicationis
per t, debet etiam dare 6, quod facit, nam notae dextrae dant s, sii impares
in Crel
apt
demis. moda
nnto
in
it pares 10, unde +0 a. 1e a 5 +11 restat 6
 act et ia
B ui
Eodemma
ait seo per 4
jam refidiu
reliaquit a jam residuum ex 10 per 4, id est infertibus per
seupers s
elictum ex 40 seu 7
est 70 quod dat relinquit 4. eodemque modo et D in notis omparitus relinquens 3, in Retis paribus 10
habebit, dubit 10 a 3+11 ausrendo residuum et etiam 4. Tandemus in ulsima multiplicatione partiab
per 8, residuum e
PG4+O+ II seu 3 il E eat i relinquit in nons imparibu 
oent  is sin etiam 3. Et sesidur partialas 26, 4,3
quod etiam relinqut productum