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# Title: Leibniz-Handschriften zur Mathematik LH 35, 6, 27
# Folio 1v, page id 00068072:0002
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Res redit ad hunc caleulum
21, 27, 23, 24, 25
pro f, 9, h, l, etc sumendo 1007100, 300400
et pro ipsis  13, f. 1. 3. 4 ete ponendo 11, 2, Et,  eac et pro
11 + 500 = 0 2029+ 21 100 1 20. 209 = 0 23+22 100 +21. 200 +20. 300 -0
24 f 11 + 10 = 12 + 10. 100 + 200 = 0 13 t 12, 19D + H. 200 + 1
H+ a = a 12+ 1. B + C, 11a + 10b = 0 12 a + 111
 tna ct e 11 + 29 =0 1+ M. 2 Y 72 = 0 1, f + n. 22 + 23 = 0
14 + 13. 21  12. 22 + 1. 23 + 24
e + 21 = 0 1. 20 + H. 21 + 10 22 =0
U + 21 =0 12 + 11. 21 + 22 =0 13+ 12. 21 + 11. 22 +23 = 0 14+ 13. 21 + 12. 22 + 11. 23 +24 =0 ek
ubi 21, 27, 23, 29, etc. sunt numeri datae quantitates quaesitae, f, g hl et C
Cum interion  uitandem ebel u, in et et g in e
21=
a erc. sunt s.
22 = + 11. 11 - 12 23 = -113+ 11. 12 = 13 = -113+ 2- 11. 12 - 13
- 1. 112. 12
1I. 21 =0 seu 21 = -11
seu 22 = 11. 11 - 12
+ I1. 12
+ 12. 12 = - 1 + 15, 12 B K + 12. 12
12 +1.21 + 22 =0 seu  13 + 13, 21 + 11. 22 + 23 =0
T2∞-11. 11+2220
23 = - 113+ 2. 11. 12= 13
24 = 11t D- 3. 15. 1 + 12. 12 +2. 11. 13814
13- 12. 11 + 113 - 11. 12 + 3 =0
14. + 13. 21 +. 12: 22 + 11. 23+24
=11. 13 411. 11. 12 =112+ 2. 11. 12 -1. II. 13
= 12. 12
15 + 14. 21+ 13. 22 +12. 23+ 1124 +25
= 11. 14 + 11. 13-12
go
gariuum
possum
(1 - 3. 13.12 + D11. 122+2. 112. 13 C11. 14
Atque ita haberi videtur progressus in infinitum, nam numeri coefficientes sunt
signa sic habentur
25 - - 13 + 4. 11.12 C3. 11. 13 +2. 11. 14 -15
3. I1. 12 42. 12. 13
numen omnium possibilium tronspositionum
si fingatur quibus ex numeris supposititus esse = 1. si ego tunc exforma
se n breviu demetisio
demensio formalis est eadem, materialis variat in eodem valore, quodsi
prodit -1. debet praefigi signum- alias +
maturalis est par prodit signum, +. sin sit impar prodit seprum-
ed cum hi ipsi numeri coefficientes fant ex fimul eo sit prducti
lombinato riorum, et hi ipsi 11, 12, 13, etc. sint etiam producti continuorum
recipuocorum, imo si mavis ipsorum combinatoriorum si sc. ege e-1,c-2
en non negligas, fracilius hinc prodibit desideratum aliquod
tat quol X a tot quot x
liter + X+C X dif X seu X +C = x = c. Ergo  X post max = X min =  sm. C
Ergo Xmax. +C = x min. = summ. C X tot quot X a minimo X ad max. seu omn C x seu omni
compendrum
diff XX seu XX + 2XC + LC = XX = X 2XC + CC. ergo (Xmax +CC)  miX, ad max
Ergo (temux rC)  ( q eX ((x max +C) = (2) X min. = omn (2XC + C  sa i
C= sed omn 2XC + omn. X CC = x omn. 2XC + C( (XMax +C) = BX min)
x maxte .- X min = omn X
sia
Ergo (2) (Xmax +C). B amim - 
diffX = X tBXXC F 3Xcc + 3 - Xd = 3XXC + 3XCC + C3 et (Xmax t C)3 = Xmin. = omin, A . r 
omn B c5 = c. X max +C = xmin omn. XC =  (XM r1s.  (x mn). - x ma
palt