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# Title: Leibniz-Handschriften zur Mathematik LH 35, 4, 5
# Folio 4v, page id 00068002:0008
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Algebra ut nunc recepta est  quantitates oblatas
maxime
potis quibusdam derignat, eamque in rem literis, tanquam
 asitatis notisque utitar. qu Et sane quoties ipsarum
quantitatum ad hibitarum nullae considerantur relationes
inter se invicem, quibus inter se distinguantur, parum
interest quas adhibeamus notas. Sua Esto igitur quan-
ex quantitatibus simplicissimo modo, id est per additio-
nem cemposita quantitas ex g exempli gratia sit
X = a t b+ ctd etc et sit  l +m + n+ p etc
sit
Et sit alia
X
et rursus Z
2
at b + c + d etc
_+ min etc
et
qur+ 5 + t
possibilium tilium (simul formatarum
 Erit xy summa omnium binionum ex literis valorum X et y,
leg et XyZ Summa omnium ternionum ex literis va
Et ita porro; si plures sint;
lorum X, yZ x et y eta quata
valotes  ea ctantum lege combinationis ut ne in eodem membro
pluses ex eodem valore, literae concurrant.
ita Xy = ak + al + am + an etc
bk + bl + b m + bnetc
ck +cl + cm + en etc
+dm + dn etc.
etc
ete
sriesit  et
ubi patet er horizontallumultiplicari per eandem
literam ex valore X; et verticalem multiplicari per
eandem ex valore y. Sed in horizontali id quod multiplicetur
natefetim
esse valorem y; et in verticali valorem F
praventum sarumsum ma
sed XyZ = akq + agr + ag5+agte harm combinationum
esse euudem cum eo qui prodit si numerus partium valoris X
  ducanultipliceatu
21t
avies
pro X XYZ omittamus brevitatis causa literas ta
et verum eA si plunes huinque
si 
ut sit X = a +b +C, y = K+ l +m Z = q+r+S
et firt XyZ = akq + aker + ak + Y biqe b
alq+ a l Y + als +
amus +am Y + ams. 
an q+ au r 1 ans 
bk9 + bKY + bKS
+ bCr + b 13
bmu + b mr + bms
CK9 + CkY + CKs
Cl9 +cr + cls
cmus + cmr + ems
rectangulo
quod quidem melius potnisset repraesentaretur.  solidode
sed
in plano sufficit. ZCt
ppo
ut praecedens xy, qra
sitio, praesertim cum XyZC, Calt altiora,
ne in solido quidem ex hiberi queant. patet autem similiter
simul et erdo in dispositionibus literarum. Quem prolixe persequi
nihil attinet sufficit notari: prolixa repraesentationis
actualis compendium faeri fieri enuntiatione superiore
jum dicta per biniones, terniones etc. dicendo esse
tionum possibilium lege supra dicta (institutarum. compreenditu continue theoremat condimus inter operandum, multo
tntum
ut d
productum ex valoribus
autem sub additione subtractio, si litera ponatur esse quantitas
quantitas negativa, ut si c= -f, idom erib atb f, quod atb+c
maxim facbF samilia rib
=fet prrductum ex x et Y
ubi nullum est discrimen inter
literas valoris ejusdem; distina
quantur tamen inter se literae
diversorum valorum. Et erit
 rectangulo
pland