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# Title: Leibniz-Handschriften zur Mathematik LH 35, 7, 1
# Folio 70r, page id 00068073:0139
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consultatio et specimina
by s2 ( bbayyrgo (bb + 2byZ + 172 firt G en. b s2 - y aeg. 263 + 322
by si = bb + 99 8g. vv + 2bBy + (77) seu y aeq. no + Bb, : b s2 - 2b0
arte inveniendi
plus ultia
quadrato seu et bys + bb-yy + frbus  bbtyu aequ. c
seu de incrementis, felicitatis humanae et
figum quadranda facile aut sempcr noniri potest euadratur. Hinc meximo Geonetria atque
Analyseos defectui cum ego remediam quaererem i incidi in patmarium inventam; cujus ope
problemata hingundi transcendeatia ad Analysen retoventur Analysis hactenus manca suppletur, quo
nescudun quis ante me usus sit. Nimiaqu
Algebra assumimus in
assume formulisus sin
0 aqu a+ b y 4 9yy + my
y
.
nxy
gus
Exisu
ne
na
te
macdmos
contimata inderime hunc aquandn
intalli gendo non infinite sed indefinite
ut aliandi finatu ubi scilict quis volnerit
ut finiti intelligatur, prout summi
sit jam TH vel
ipsius is dimensit debet esse primi aut secundi aut 3tii dc gradus.
BL aequ. 3. invenio iritur valorem ipsius Z. ex datis X et y. no per communem
methodum tangentium, et habeo aequationem novam in qua reprerimitur literae in determanta
a data carra AL, quaeritur curva AC, ideo assumo mivam
inde sct seu gen eratem omnes euons possibiles, atque adeo et quaesitam AC. sii inveniri potest
certumque gradum habet, (t sed non est Trayscendens) complectentem
quam literas indetinitas to incognilis quantitatibus, ita in hac analyso
equaoes indefinitam, pro incognita curva. Niecase AB vorctudo X et BC 2s
assumo relutionem genemlem ipsius y ad X omnis possibiles relationes certiguidus conplectentem nempe
eti
tcerte gradus