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# Title: Leibniz-Handschriften zur Mathematik LH 35, 3 B 5
# Folio 37r, page id 00068255:0073
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a
Omnibus explicatis et ordinatis prodibit aa. + b +C =
seu compandio a+btc = 0 stab ta, nempe omnia menbra ejusdem
sive a
rabc. 2ab formae expoimenda per primum
14abe duo supp
Nempe omnia membra ejusdem formae, exprimendo per mem
primum, cui, loco etc. aubjiciuntur duo puncta, sic a idem qud a b td et
et ab idem quod abxed ab + bc +
ad e
n et ab etsu
1
et abc idem quod abc + acd + bed tade + b de + ede etc  
abe
etc et
et abcd, idem quod abcd + abce et c. etc.  
1
pergamus ad additionem ipsius d. et pursus per compendium
a+b+C sit - nsim (B et atbrctd = nm (l  seu inf quia nhic=
Ergo ad modum prioris calculi fiet a+  atb+ Etd =
Et explicando valores, l = a - 2ab + 4abe et m = ab - 2abc
 abcd (+ ab ba
prodibit a +b+ctd =
=2abc
+4ab
+2alud  -8 abid
meldsum )+
+ld (+d.
2mid -21d
Patat autem necessario in qualibet columna lteras a, b, c, d, ett. eodem
Modo se habere ac discerni non posse. Hinc cum in novissima, hoc loco 3tia, omnio
debeant multiplicari per novasi literam d, de praevidere possumus, in calculo
eesr pro nota duadica novissine columnae nistituendo destrui debere
terminus terniones, ut abd vel acd vel bcd, quia si manerent, deberet
etiam adesse abc, contra hypothes in quod omnia multiplicentur per o
Ut autem ad Universalia progredianur, et habitudo
Columnarum et in columnas ingredientium melius innotescat;
Ponamus generaliter quantitatem dyadice expressam esse: etc )9)p sn. )m I
cui addenda sit aliqua
D, fiet
prondiv Apt paaibacu
tpamlvaque tamlo.
Epunvs
Hinc etiam patet esse _ (d m) = (d1) (dn) = m (dm) = mHat,  (p) LA (du) = nonam) = n ma)
(1) - l =  al (M) - m = am
(2) = n = an (P) - p = dp  fit (n)
 sed (p n (m) (() = pnml = (d1) (P) () (n.) = pum = (d m)
(BCn) - pn = (d u)
Sa m) = et ) (B) () )Cm) Sclu) = ete ) ex) 1Cn) lp) - ete ) ep)
 (1) = Sal (m = sam () = san (p = sdp
Sed scd1) = H et) () (n) ((m) (C1)
Ut in prima columna se habent L et V sit v = a albvel c vel d etc
Ut in prima colum
itida in secunda
in tertia
in quarta
me ) lv. in = A vel D vel C vel D et
n et () mlo miv () vel (B) vel (C) vel ) et
eF mulo mulo = ((1) vel (B) vel (C) oet (D) etc
lerc. etc
et
ete
etc ((p en) (en) (ID =psasm H V Et. etsse (3) sen = epsa (m H lx 2t, et (B) (2) = et (B) ni + mlv Et. ens ) = etatp) eta s ps +a mlv
Lan () +(o) vel Lav)  4u+L
et I(CP) ((nD ((m1) (CLB = et sp snsm ( + DA V) Eet  se) B) = etspsusm (t Lo r (, le C = et (p )u s Amilo. bi 1 Es. calsB) = ek ) P  + nti lv ren n 
( vit
I5i pergamus ad ( (l)) (m Y) ((MB, ((p)1), idem manebit valor nisi quod ad Ho)aldet ( pro vio scubetur et ( + C, et
et pro e ID + (1)(V) scribetur Iv + (1) (B) + (1Y _∞D et pro nlv + (m) (1) (∞) scribetur Mlv + (m) (1) (∞) + (m) (IDCVD
et ita porro. Eodemque modo pergetur, si procedamus ad quadruplicis parentheseos literas ut (CC(D) 
riq et ita porro, sed prima lest o
cum sequentibus conflatur ex ipsis 0, seu ipsis a bierete ita secundam columnum cum 
aut ad quantuplicis net
pia v, et () sit C, et (0G si
 i pu geronu us nt ari  its 16. ol a pto  b, e d, erce. et purtum ad ers e me leto
Hinc si abinitio rem linchoe
columna
20bD 2-33
2eC
s
si
t=L=
H
10
FEF
dues
=cum nihil referat
a qua in addendo
incipias, eadem
utique proveniente
summa.
I +abractbe +abr
-2, ab taribe