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# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 3 (shelfmark LH 13, 3)
# Folio 67v, page id 00068200:0136
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sit aequatio a + bx + cy + dxy + fX∞ + g yy + h Xy+ lX s + m4 + n y etc aequ.
quaeratur modus revocundi ipsam ad rationalem pone X aego 3 +4y+ 5Z+ 7yZ +9yy+ 112Z eti
13 +10y+152+ 177271979+2127 et
et hunc valorem substitie assurgetur ad nonum gradum ubi istae pancae arbihrariae non sutticient,
+C y +  dayy + aaqu aequ aco. sit comqu. Cy+ fyy+
PC
Vaa + 2 ex + = XX ax quae est ad sonicam. datio ergo momentum curvo
Conicae ex axe idemque datet quia datur Z2Ex
PC : PG:: PB: PA. seu PZ H
saat cyy
eu GC: et:: Cp. BP
e
VaatEgy
GC
Ergo GC aequ. = 4qa a + a yy.
+
x + 1 aqu
a +x
saateyu
a 5491977
59q + 2yy +9
(a) + a 5494+977 ( a) 1 P.B
agax ao her saat r 44tsqu tau
+ 44 saat  yy
=a 549+277
Ergo momentum curvae ex tangente verticis datur ex curvae dimen
Ergo dabitur (Faxsem se Z seu vaaa raxta + = Cit cax farx
sione
2a x + a xF.
si modo detur: Vaa 2ax + a x + = 1) rax 7 a px ax aequ co do
2a + a x
huius ergo quaeratur quadratura est enim simplicior. datur autem ejus momentum
ex axe. siu Ccoco dx datur et momentum ejus non quidem omnino ex
vertice, attamen ex recta tangenti verticis parallela, ergo duci potet recta
transiens per ejus centrum gravitatis
jam: aa x + a a  aequ. coco
a
vel reducendo omnia ad y. Sagy ae
aayy+ y
a +  149.
(AX51)
yy
y
posito vari sua rax + a xX F  t....
aaX + CXX 2a fax aequ colo
y dy. seu coto
N49 + 27y
2a7ax
  vyraa +Ery ay
a
a = ry + a 144497y
aa f 2CX + E XX aequ4Z 2a47 7Z a XX Ergo Xxaqu. aa + ECX - 2Z 2aY
XXq aqu
aequ
aa
aa
122 4
raxfaxx a
aa
2aX + a XX
aequ
Z ac
(q
et 22 - E aqu aa
aa
et
aa
f22a - 
17- ac aq 37L 27C+
aa 4.
cax (q ax
aeqo
27- ac
ergo si detur xxq dabilui e, Xdque
q aequ.
aa
2ax +ax+
+XX + raa X +  aegutaa . a
Da
27- ac
rax + a xx aequ X v. ergo X aequ 2a
ergo Zago  co+ a et fier a  aequ. 2∞ seu 2a9v
i
E
Ret g
 +
aa on it2
aequ 2ac0
aic
cofligo a - c2
ergo 2aco 2a2
acollatco
aa