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# Title: Leibniz-Handschriften zur Mathematik LH 35, 1, 30
# Folio 14v, page id 00067992:0028
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d p
Ubi patet in produeto ee omnes combinationes
possibiles verta leve atque ordine factas. Kemped
in quovis membre coefficientis produeti e bnio
seu combinatio duorum numerorum fictitioru
In qualibet harum binionu notae sinistrae sunt ea
demet eodem modo colloratae nempe +8Z veluti
10. 20. aut si. 20. aut 10. 21. et Aa porro. In omnibus
binionibus seu membris coefficientis ejusdem poten
tiae epriusx, suma notarum dextrarum conficit
idem, nempe numerum qui additus exponenti po
s
tentiae dat exponentem sumam s. Veluti coeffici,
ens ipsrius eZ, constat ex tribus membris, 13. 20. +12. 21. +1. 2 binatoriam; seu Aloebrae speciosae, ad specio,
ubi patet 3+0 itemque Z+1 itemque 1+ 7 facere sem
per idem nempe numerum. ,  qui additus ad Z.
exponentem ipsius X2) possit facere 5. Undepa
set etiam quot possibilia sint membra cujus
cunque coefficlentis tot scilleet quod modis numerus
3, exbines inferioribus, 0, 1, 2, componi potes
et quot cujusque compositionii sunt transro
sitiones possibiles; veluti 1+Z et 2+1 suntuna
quidem compositio sed variant trantpositione
Latet ettiam hinc produotum hic seribi porse
sine calculo theorematibus hujus modisemel yti
futis
exempli oratia pro termino X primum nos exprimendi bene fuerit constitutus, ut haceam
eribemus 15. E moxsuppledofie
15. Z8 deniu absolvedo. 13. 2
Z.
1
O
e
 (quod
d prims mendoio
determi
scribemus
atur abipso potentiae
13, et mox supplendo fiet 13. 2 et denicabsolendo B. 20 g.2
2
2
52
bi2
12
1
2
12
i
0 1d.