# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/DE-611-HS-861255:0057
# Permalink to this reading: https://leibnizlegible.com/page/DE-611-HS-861255:0057?run=74
# Title: LBr. 705 · Overbeck
# Folio 29r, page id DE-611-HS-861255:0057
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=DE-611-HS-861255&page=57
# Source image: https://digitale-sammlungen.gwlb.de/content/DE-611-HS-861255/jpgs/default/00000057.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 99 lines, status machine
# Lines: 99 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.
# 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.

Vir Perlustris
Domine Gratiosissine
Qurecunque pene jam parata erant, ut Responsionis loco mitterentur ad ulti
mas Hannovera datas literas, ea interrupit indictum praeter omnem opini
onem scholae nostrae Examen, idque die D. port Dominicam sudica habendum.
Motae ergo jam pridem a me quaestiones porrejudiciales nunc pleno servore inca
leseunt, Brevis autem est mora et jam vix ridui, cum quicquid hoc erit tem
pestatis desoevierit, ut ad tranquilliora seudia redeundi copiam mitri datum
ini parum dubitem. Progressum tamen vuei calculi breviter conabor explicare
itum denuo per a  hoc per a etc: Nunc voco Ascensum discolorem. Ex eo
pronum erit colligere quid fiat in ascensu concolori si a multiplicetur
per a et Produitum denuo per a etc: ad sumendos Evudratos, Cabas etc: EF
Tac. a+n +P +a 
Maltipl. per a
Eit n +Pt mentp(9
+ an in +bP+ t a
+a2 2P b259aB
ut vero calculum curtatum haberem
quoque extra seriem id obtinui per
+a ct
+a2ta  P
Ascensus tertius 3. + (2(1. + 11 1)1.
Nam) mnp. sut 3) hic sut 2)1. I hicsu
11 si Literae
idque 3. modis mjnsP.
Calculus Curtatus per solos huxpone
m. per n. facit mn + nsn
Multipl. persp.) census Edus
+mpsa Ascensus tertius
Maliplimus eap sin +. nsasp.
+mnqse +musequs + mrspsu
mpasn impsaque + mxin
npq im + npsu. g. +nx mta
mgins
Conperendo utramque signaturum + nami
sponte se offert methodus calcu, + pasmsn + msnspsus
lum plenum ex curtato restituend.
calculu Dicurtatum. eumque talem a bC + a b c
Ascensus 2dg Z. + 1si
sit map + mase
Ascensus Quartus mnpq. + mapsqs
c
+a et op intxusus intesuq
+a2 +P +4 im
sitere
ite
Calculus Bicartatus sine Virgulis portea commodia
notatur hoc pacto:
2. + 1. 1. Ascensus 2d9
3. + 92. 1. + 1. 1.1. Ascensus tertius
4. +(31. +3) 2. 2. +(9, Z. 1. 1. + 1. 1. 1. 1.
Ascensus quartus 4. +C311. + 3) 2p2, + 9 2 (1(1. + 11.(1.). Et continuando ja sine Virgulis
Ascensus quintuse 5. +64. 1. + (10. 3. 7a + (10) 3. 1. 1. + (d) 2. 1. 1. 1. +(5) E. 2. 1. + 1. 1. 1. 1. 1.
d3.
1.1. 7 (60) 5. c. +. +(15) 2. 1. 1.1.1. + 1. 1. 1. 1. 1. 7
Asc. Imus 7. +96.1. +ED 5. 2. +(ED 5. 1.1. +65) g. 1. 1. 1. +40342. 1. +(35) 3. . 1. 1. 1, () 2. . l. 1. 1. 1. + 1.1. .1.1.
+35)4.3.
+42. 2. 2. 1.
+(202.22. 1482.2 t.
od 
 (03 2.2 2.1 + (105 3, 2.2. + (105) 2. 2. 1. 1. 1.
denter ab Inferioribo scilicet: Ponantur saltom ordine Multiscerptiones ejus Numeri
quotus quaeritur Ascensus, Deinde Numeros Modorum circulo inclusos sic repercemus
sit Junetura 2. Z. 1. 1. 1. Suma totius 17. Ergo capio 7. 6. 5. 43EL.  = (105)
divisores exrepotitione ejusdem divisores, 2. 2 sunt ex ipsa junctura. Tertius 2. inde est 2. 2tE B, 3
Numeri ortos Parenthesi incluu
mox
Primo quaesivi quid fieret si Formulam a multiplicarem per a et hoc Produ
a per a fac. am + a b Ascensosecudus
Maltipl. per a
Ascensus tertius.
--- - - -
...... . -
quia tantum valent in statum ra bis occurrit. Ul imus Divisor 3. L. 1. inde est quia Numerus idem 1. 1. 1. ter occurpit
nide Numerus 2. in punct
discolori, et omitti debent cn ad sit alia functura 5. Z. Z. 1. 1. 1. 1. Summa totius 13. Ergo pro Numero Modo
statum concolorem haectrahemus rum inveniendo sumo 13. 12. 11. 10.9. 8. 7. 6. 5. 4. 3. 2. 1:
ut  22. 1. 1. 1. faciunt
modos 7. 6. 5. 9. 3. 2. 1.
2. 1. 2. 1. 1. 1
 ex sua
3. 2. 1.. 2.Z. (2. 1) (4. 3. 2, 1.) = 13. 12. 11. 90. 9. 8. 7. b.
Dirisores in Parenthesi inde venint quia numerus unus, in jactura bis, alius qualer occurrit
.2. (c. 1) (4. 3. 2. 1.
alter 5. 4.3.2. 1. inde quia fuit 5. in gunctura. Reliqui 2. 2. ex ipsa junctura
natura. Sed quia haec 1. 1. 1. sunt
in statu discolore unitates diversi His ita extra seriem datis Calculum Curtatum restituere oportebit, si scilicet et
Valoris, inde adhuc vicibus Numero, et delineatione Modorum ipsos modos restituamue
transponi possunt, idque eandemum, ut ex (105) 4. 2. 1. restituetur mapus rst vel pleno calculo amn pqus t. gC
habet ac si in ipsa junctura, idque (0d modis quos modos omnes exhibere scectat ad artem Combinatoriam.
Interim in Casu concolori his modis ne opus quidem est sed summa tantum seu
quoque extaret Numerus 3. Item
aep in ipsa junctura sit numerus numerus modorum adscribitur, quia si omnes Exponentes fuissent iidem, Modi quoque omnes idem
a
l
quaerationes, omnes instatu conco. Atque ita Ascensus, Concolores, seu Pradrata, cubi etc. ex ipsa serie Ascensuum Bicurtate
come a
extemporanes labore describentur, si modo un scrmpulus sit subtatus quicunque Divisor
corum quod Parenthesi molusimus ortes ex Numeriss in eadem punctura  saepius repetiti.