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# Title: Leibniz-Handschriften zur Mathematik LH 35, 3 A 4
# Folio 4r, page id 00068217:0007
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(1)
X + px + 9 aequ.d
X aequ. a + b +c.
a + b +C - l aqu. 0.
X -y - baequ. 0
y aquo aba ac+ bc. 1Z aqu.  abc.
Z 
at  abc -  aquo
3= n aequ. 0
ab + aec + BC = m aqu. B
Zi +G - M aeque
Termini tollendi sunt numero 10. et arbitrariae sunt etiam 10
scilicet 1. 10. (12y. (2V. (1D. (10). ((17), (2) (1) (0). praeterea l. n.
et ipsam Z.  quia et teminos quos ingreditur pocstum, non
est necesse tolli, sed terminos quos ingredimur possumus reducere
Poterimus et poncre p. aequ. 0. quia
ad inferiores
in omnibus  aliis casibus semper adhibabimus aequitiones
secundo termino Carentes. Interim ut accedamque ad comparationes
patet fieri.  Y aqu + Z (per XZ) (2) aqu.  seu  fur y)
14
( agull (1) aequ. = (1). (per XV)
(2) aqu. 2 = ∞ 2 (1D (per X 1y. juut 3 2)
per 3. 5 fiei (1D aequ p(1D p(2)
inde sialesset p foret pariter (D) et (D aqu. 0.)
u abessit D. Soret
stesm et u (agp.
(19D + p(D + g(2D + 110) + 11) pu t aequ.0
go Y
arende
aro ppe
Unde si abesset p foret pariter (1D et (1) aequ. 0.
Ergo duos ipsius (1) valores aequando fiet: (D aequ   (
1a 2p
(13y aequ.  - 4(1) - 4p (1D - P, C p
Hinc jam patet in X, substituendo
pro (12) ejus valorem haberi ibi (1) ex et quia in y jam habentur () et ) habebitur ibi
et 10). Et in x habebitur 10, et in  restabunt limn. sed quia non debent restare
ideo ponemus p aequ. 0. fiet eta ((1) et (1)) aequo Erx termini Xt. x ry non
ad adeunt frei per Xy 1) aequ. 0. Ergo per X etiam (1D aequ. 0. Et per  Y ent (2) 
et per X 2 ~ fier (1) aequ. (1) et per Xy fiei _ (ED aequ - 1 - 2 (1) per
X habebitur no nempe suncta aequ. ex . foer fierea H. Imo video fore n aequ. 0. Quod
foret absurdum et cogeret nos tollere n. seu aequ. 16. Verim obsurditas nulla et
tantum enim sequitur omissa p. omiti potuisse 2.n p0 Videtur fieri osse
(12) aequ. 1. quod si fint et