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# Piece: https://leibnizlegible.com/api/records/25619/text
# Catalogue record: 25619 — [Tabula pro numeris terminorum in qualibet forma]
# Incipit: l. m. o. p.
# Date: 1677
# Other printings: -Knobloch, Kombinatorik, 1973 S. 296-298 -Knobloch, Kombinatorik 1976, S. 129-133
# Record in the Leibniz-Katalog: https://leibniz-katalog.bbaw.de/de/extended-search?id=25619&katnr=56626
# Work: https://leibnizlegible.com/work/00068241
# Title: Leibniz-Handschriften zur Mathematik LH 35, 3 A 28
# Folios: Bl. 29–30 (from the shelfmark LH 35, 3 A 28 Bl. 29-30): 4 pages, canvases 57–60, page ids 00068241:0057 to 00068241:0060
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068241&page=57
# Lines: 208 recognised on 3 of 4 pages, mean confidence 0.76
# Catalogue: Leibniz-Katalog / Arbeitskatalog der Leibniz-Edition (https://leibniz-katalog.bbaw.de/), ed. Arbeitsstelle Potsdam I der Berlin-Brandenburgischen Akademie der Wissenschaften, CC BY 4.0.
# 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, page by page: a "## Folio <label> — <page id>" line ("## Canvas <n>" where no folio label is recorded), "# " lines naming its source image and model, then its recognised lines in reading order, one per line.

## Folio 29r — 00068241:0057
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 30v); this page is its right half.
# No recognised text on this page (recognized).

## Folio 29v — 00068241:0058
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 30r); this page is its left half.
# Source image: https://digitale-sammlungen.gwlb.de/content/00068241/jpgs/default/00000058.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 78 lines, status machine
Tabula 6 ita condi posse videtur vig. in D. eatera deri
vantur tum ex serie honjontali l. 6. 15, 35. 70. arc qui sunt
numeri triangulo. transitures tam excolumua. 146. 12.8 24.
quae fit ex omnibus numeris in eadem tabula superstaentibus
ad columnae huic ordine i locatis. Superstant ccilicet  .
4. 6, 12. 4. 12. 24 quae sordine locata praemirso 1. dant. 14.6. 12. 24
columna secunda:
L. 5. 20. 30.60. 120. fet ex prima ducta in 5.
nolumna tertia 15. 60 90. 180 ex. fit ex prima ducta in 15.
et ita pono.
in m 
Al. (I. 1.)). X1 a
2. 3.. 
in esc
5 6 Y. 8 9 10
0 0 1. 4. 10. 20 3556
0 0. 3. 12. 30 68105.
0 0 6. 24 60 120, 205.
lmn .. . . . . . . . . .  6..
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24 170
lmnox. .. -- 0.. 0 0 0 1 6 21 56
nbp.-
anop.
16058
in last
lno. mno
A. 1. 2 Numerinaturales, su numerus
literarm, ut) l. est. 1. l. m
Im (Cm. 13.). . 1. 3. 6, 10 12, 283854 B Triangulares
litque (l’n. ln) 0. 2. 6. 12 12o 30 42 56 72 108.
Imn. (mn. )
l’mn ln.)
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imno seu
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seu comdbinationes
pyramidales
seu Ghnationes
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angulo triangulares
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Detur jam fomtaunt
datas quint
L.2. 1. 5. 6r L4, 12. 24. 5 20 69 eo videntur et illi ipsi esse, qui
Numeri
2. 72.1.
2. 1 1. 1.
3 1 2. 1.
4p, 3. 1. 12. 2.
3p +. 1. 13. 2.)
4 2. 1. 1.
553. 1. 1. 12. 2.1
dimidium. Sed ut habeantur 3 scerptiones: 3p 1. 1. 1.
2.5 3.4
87) 6. 2. 1. 1 5. 2. 1. 14. 3. 1. 4. 2.2. 13, 3. 2.)
1077 8. 11. 17. 2. 1.) 6. 3. 1. (5. 4. 1. 16, 2. 2. 15. 3. 2.) 4. 4. 2) 4. 33. 1.=
possunt et ad seiptionem
c.ren
lne. Unc.

## Folio 30r — 00068241:0059
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 29v); this page is its right half.
# Source image: https://digitale-sammlungen.gwlb.de/content/00068241/jpgs/default/00000059.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 120 lines, status machine
Cuc n CD. Mn. mo no
m. 12. 10 p. 9. Cy..
hin mo
2. Emn. lmo. Imp.. lno. Imp. lop
l.. m. n. 0.. p. 9. r. s
 l. m. n. 0. p.
mno mnp.
l’onno
l’mno
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Imneo
mno
en Imno
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Casum literarum qualud et ideo quaerendum in columna desendente sub qatu quinqu. In forma vero non reperiuntur nisi quatuor, ideo quaerendue numeru
veleru mulbiplicibus et casus ille est, in quo duae manent literae sunt ejusdem gradus scilicet l m duae reliquae n.’et o variant Ergo prorsus ut in forma
in vima l na l2mno, in qu cui 2e spondet 3, 4. d. seu 12. est at D sube est 5 in columna descendente sub 5 est a5. Erggo quaesitue numerus erit 5,12 seu 60.
5. 4, 1. 3,2.
2. 1. n 4. Sil. 2,2. BN, 1
3. 2. 1. ( 1.1. 1.4. (3. 1. (2. 2.2. 1. 1. (1. 5.1. 1. )5. (4. 1. 13.2.(3. 1.1. 2. 2. 12. 1. 1. 1.1. 1. 1. 1. 1. 6 (5. 1. [4. 2]3. 3)4. 1. 1. [3. 2. 1. 12. 2. 2. 13. 1. 1. 1. [2.2. 1. 1. 12. 1. 1. 11. (1. 1. 1. 1. 1. 1.
(dimidhum
6p5. 1. 14. 2. 133.) 7p6. 1.1 5. 2]. 4.3.1. Ergo ut mmerus discerptionum habeatur, sumatur maximi paris in dato numero contenti
6714. 1. 1. 13. A. 1. ((2. 2. 2.
77 5. P. 1. 1 4. 2. 1. 13, 3. 1. 3. 2.2.
3scerptiones ita habebuntur, sumantur tol numeri omnes 2scerptionis bis, et unus quisque escrptioni alter es nunc unus nunc alter 2scerptionis terminus rursue 2scerpatur, ea lege ut ill numerantur
Lspertiones cojusque ter mini, quae s quae partibus constant altero ter mino non majoribus (harum samma discerptionum summa erit numerus 3scerptionum. Ut quaruntur 3 scerpsiones ipsius 7.
Ejus 2scerptiones punt 6. 1 5.2. 4. 3. in prima 1. 6. divelli non potest 1. in partes ips 6. ergo Comitti duas ergo omittitur. A si sit 6. 1. non potest b. di scerpi inpartes  sipso 1. non majominores. Haberum
ergo tres hisceritones ipsius 7.. At AC5. 2. Ubi si divellamus 2, redit pua 3 screptionum jam habita ex divulsa 6. itaque discerpenda tantum 5. quae si divellat
in 4. et 1. redit rursus prior aliqua (3s crptor ex 6. 1. necesse est sla ergo selom elius discerptionem ipsius 5 in 3. 2. scilicet omittendae omnes discerptiones in quibus 2. post sex
Op 7, 1. 1. 16. 2. 1.) 5. 3. 1.). 1 4. 41.1 15. 32. 2.4. 3. 2. 1 3. 3.3.
IIpy 9. 1. 1. (5. 2. 1. 3. 3. 1. 16.4. 1. 15, 5. 1.22. 2.)6.3, 2.15. 4. 2. 748,2,85. 3. 3. 4. 4. 3)51.
Ad habonias tom discrrptione 3scerctiones alicuius numeri v. g. 11. sumantur omnes 2scorptiones ipsius 10. omnis sclaptiones qua non ingreditum
te inc in terminos non infra 1. omnes discerationes ipsius  in
termines non infra 2. omnes e scerperones ipsius 8 in terminos non infra 3. omnes rescerptiones ipsius 7 in terminos non infra 4. sed tatis nulla est. Ergo non descenditur intra ad temint quo discerptionem numeri
Cuiuum qui duplo supplementi sin ad datum minor est ut x. mipor est duplo ipsius A, supplementi sii ad datum 11. Sed elegantius lidem ex hiberi potest per dispositionem, si sequaris  exempli causa in discrptionibus
ipsiu 11 seuiem literarum: et primum in 3screptionibus iffius habenibus 1. abebis sequere a. b. c. d. 2.f. g. h. 1.K. in habentibus 2. sequeret a. b. cd. e.f Unde compendisior habebitur regula. Eadem ias fem
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23. IIm 10p
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2m o p
Penen v
lmno
l’m_

## Folio 30v — 00068241:0060
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 29r); this page is its left half.
# Source image: https://digitale-sammlungen.gwlb.de/content/00068241/jpgs/default/00000060.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 10 lines, status machine
cujus q formae
B Tabula exemplorum exprimit etiam summam formae posito quamlibee es
literis a. b. c. et valere l +1. Continuari itaque potest tabua; seu summa formae indaga,
bitur posito esse a. b. c. etc aequ. 2. et ita porco. Sed  quoniam n hoc exemplorum
numero uti possumus ad e inveniendos sine alio calculo numeros praefigendos. cm varias
esse
indagamus aequationes; hinc utile erit Tabulam compo condi summarum cujusque formae posito ex
litertes omnis valere quasdam + 1. quasdam = 1.. Et primum cum ana ex literis significat -1
si
deindecum duae, mox cum tres, et ita porro.