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# Title: Leibniz-Handschriften zur Mathematik LH 35, 8, 30
# Folio 74v, page id 00068124:0148
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1
A Rectiptio per Quadratura per Rectificationem
ABX BC y. Quaeritur solXy seu av
invec
HABCH
V=RG = Saxy:a seu qq ipsiu
K
sumt t CC quadra
trix. seu GB: B
ser BC.a. siat
a:: DF: BK. ergo data
edatur angulq FBKergo
datur linea Hin ipsarm B
concursu formata: quae erit
summatrix ipsarums. Nince
via incipimus quadratulatm, ab A uli area esto
LAC
ut
ex puncto A
lucatur tannens
ad lineam Y ei occurreasin B
inde ixtur incipiat evolatio
et fito AM Ret d
evolutu describt curva
A9G) evil
at
BC = BE
HA BC: a
Culculo remsie inveri:
C. KF, A BF. FK:: A: a Y
A
X+ h9:aF. ergo diferentiando sit a 19400
adx +odh =0
AMK sit C. AC= idyd5 + dgnq  dgraathhia
et C= Sdgraa hh: a. Sit BC, V. siet
e
V= C = BK. jam BK : KF sen 9, :: Thn + ad:a
ergo v = c-qunataara. et do des
pas (per 5) dqaarth-dosthtaa gudh
Ergo dx == etidn. raatntia
a
Sacthta
seu per 2, do= hdx: Iaa +hti  = DZ
posito BV = BO nempe DG. x seu eD:.
pa B
.
:y: a (seu BC: a). tr: sparhib
 CB: BG.  iideo hoc modo cum
aa
y est nigoc quam a, summationem non
procedere. Cun remedium si sempor a
adau adi inteldatur, ut menima
est
 meouo minee quam 
 delratamus constantem, ut sit
mini quam a