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# Title: Leibniz-Handschriften zur Mathematik LH 35, 4, 8
# Folio 1v, page id 00068005:0002
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Seftes s Se plures sint aequationes, in quibus incognitae ad altiores assurgant
potestates perinde est ac sic totidem excitentur aequationes quot sunt exponentes
pttestates: et b et ita quaelibe  potestas insstar uius incognitae considerabitur
adeoque omnes tollentur multiplicatione ala perad aaproca adhibita
ut ordine procedamus, opus erit ut jam usi sumus in cognitis simpliciter  ut 2, 3, 4. seu
X. y. Z ( ita postea ut incognitis: X. 3. Z: vel X3. yt Z3, vel X. yt 24 nec novo opus caetente, tartu
enim radso laventi valoris erit quaesidum. Inde sumemus: Xy. XZ. 32
XZ aequ. b. YZ aequ. C. fiet: X equ. 2. aequ .
fiet y aequ. aC. et X equ. ab . et 3t apu 2 VC
posito autem haberi. ry equ a
XyZ .qu a. . XI10 aequ. V X310 aequ ed 92co aqu. d. Ergo Xaequ a. aqu B aeqo 
Vago a = aequ . (agu  c aequ BZ) jam valor ipsiu 
y s apsius y per  scil cet y BB aco et ipsius Z per co, hilicad   substituatur in aequ.
Ergo = aequ 4
ilec progressus in infinitum.
1zco aequid. siet: a a co  d3 seu bCd aequ. C0. ratu in Toa incognita quae siti
ids
 cssina nempe dividens est sempe ea llalitera, quae cum
vulorem non ingreditur. Etiam cae terarium formatum rulores quaerenu. quantitatum aequi formiter, compositar
facile est. Inde pergemus ad quantitates difformiter composita
n lamnes generales repere zimus.
ce co
Et exu +tXY qu. 0-
soper s
sidu
Itaque datis aequationibus vog.
loribus datis literas hinx inven
 singulasque ordine tinctabii
1 bxd+ CXV, 2d ass.
cognitas earum vrlorem
A ex ita dinc AHone hallam quod ita mitore fit 2 4quis B Qrumerus
mogniturum. Si co exe sommis pariarum samatum quantatibus constent, duobus mogie procerre
nvenicuus ope elloo i eeplicula
tur X
pla post
a et quantilaters dividamus, in tot partes qot suge barieforae in aequation
denietgi valor psaum e  via
data
glaribet sosseu monine partibus osubuendo ita pluribes smodis
ormalum t ac denide ce qu dut
ass
qvantuate cognita
asdam lant
dum
des determinao
posito nos divisisse  in limun. et
it
la porae alia
be aequ
10+4. et Sant +S+
paatet enitu
liquae
oiles nec sa profis atetso aite uns
iere
venium 1 lis n aqodu alis
fdridatu
hustiquo etias ovtritum formati
7-5 aequ 4
imelius: sit paratio vigs. a X ques dXtegis aequo
tox ququio snformae
ita ut partes ipsus fB
dele spano debeu
tres a
a + b + C. rego
a = b +EC. 4G
a +205C equ.5
ggr. C
ae
a + b aequ. 10
4 +b.
A +2b aqu. e
2 b aqu. 6.
a + b, aequ.
a qu 3.
10
po  n
413, 21, 54, 4. = 13, 2479)
di
4, 2
4aq0. 3289
e
13 1 D- 12, 34
Nimnium ante omnia ( 209. et 24. aequ. 0. dioni poterit valor depimi ipsius 
pusito 16 13. 35. equ. c.
Geprimi per 2g 21+13
4 aequ
13, 24 major, quam
pu29
= 12, 299 + 32, 119
2,34 + 32,14
osolis aequ. 9. 11.
posito  22, 13. 24, 209. aqu. 0 debes fieri idem ex aequ. 17.