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# Title: Leibniz-Handschriften zur Mathematik LH 35, 7, 1
# Folio 3r, page id 00068073:0005
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8 April 1679
De impossibilitatibus
Et summarum
Quadtaligarum
generalium analyti
carum faule dijudicandis
st sedes Terminus seriei vel ordinata
is
quae y sit expressa
per formulam fractam ex litera X. formatam.
quaeritur  dis in figuris.
quaeritur
CL ax
seu
posito 2 aequa y
sit eat equantites cintegra quaecunqa
site et ponatur
L dx aequ. 1
et siet  aequ. b b + C+ d erc. ponendo
ja
e esse A b. c. d. esse formulas integras ex data 
datas fiet: rationales vel cirrationales, et
rrationales simplices vel compositas, neque
tani 
β. 1ec A
enim id refert, fiet:
de aequ.  dx aequ. ∞b db + βC dc + ete
ponatur primum b. et c, etc esse rationales in tegros
eo casu facile ostendi potest non procedere cm
pontunem comparationeq nisi aliquam
-
1a-1 vel  Ce vel similes
Vet quidem saepius
sit quantitas rrationalis quod nempe cum est a
aequ. 2. vel X aequ. 1. vel a aequ. 01 sed cum
x-
et ideo
non servit. cum X est 1. tunc 4 - 1. est o. es deo
ideo fit quantitas constans, jam tunc ab etio
erit quantitas constans non ergo compa
lis uum 2. Restat t a sit aequ2
db autem post esse inconstans sed cum b sit
st
b
integra etiam ab erit integra non ejus