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# Title: Leibniz-Handschriften zur Mathematik LH 35, 4, 19
# Folio 31r, page id 00068016:0061
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significare
Nimirum ponatur Z aequ. AZ ady + 5 2y + βZ+7 74 94
et
significare
P(1oZ Ny+ Zy +5Z+ By+ H
fiet: C qu. c8 aequ. bE id est:
CAZ+C CX Zy+  2t cVy + C9 aequ.
aequolaz
aequ.
b022+ by b1Zy +bdZ + b8y+ bF
(27
Jam ex prius datis: v- X aequ. a.
v aqu seu X aequ. aH v-a, et
V aequ. eZ, et ZFy) aequ av tax
fiet 2 y aqu. 2acd rae Z a quo live y) aequ  2ae2 + a
aequatio omnibus duode du ec etiam
omnibus duodecim problematibus ommunis
quibus si adficiatur aequalio Hiic aequationi 5
si adhibeatur aequatio +. Hic valor
ipsius y seu quadrati a latere BC
st
d
si substituatur in aequ. 1. sit
e 
Nur habebibur
Vaq cu ces
efac
noue
Supereriti sous valor ipsius y pujus
p adeoque et ipsius y, quo substituto
in aequ. G. habebitur aequatio in qua
sola supererit. Qui calculus cum
sit facillimus, et assurgat ad quad
generaliter sumtus assurgat ad quadrato-
quadratum, ascribere eum inutile est
si H illud tantum ostendam duobus
lexemplis, quomodo ex hoc calculo generali
eliciatur specialis pro problematibus propositis.
Sifiat Nimirum si fit A, (n, B, 211i9, fiat ro
eF 20, 6V, Y, d,  fiant aequ. 0. et
si E fiat aequ. 1. habebimus
Zy ad  ut b ad c.
quod est problema sextum. Item si fiant
(,V, 1, , Y, 5, D, aequ. 0, et si
fiat A aequ. 1. et n aequ. 1. et E aequ. 2. erit
X Z+ 2Zy + yY+ 99 ad +E, ut b ad c.
quod est problema duodecimum. Piget
caetera per sequi. Tantum moneo problema
alite
septimum non recte editum esse, errore
ut opinor describentis, ita enim
excusum est in exemplo quod vidi.
aliter in catalogo problematum haberi
tue alier ver asiler a. Et. stonssortro
F quae omnibus duodecim
problematibus communia sunt
+quam