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# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 1
# Folio 238r, page id 00068196:0471
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6 Julii c677
inspiciatur Barrovii figura
Geometrica et ma
Dequadratum quadratricis
119. ubi de quadratiice dectone
M tangens producatur in 2. et PM in 3. doc ita a recta C23 sit parallela
ponatur
ipsi AB. constet esse M A posito arers EBp a. CEB quadrantis arcus q.
CA radius B Y. EK sinus areus Y7X. AK sinus compl. p y. erit Mpp= a.
T Areue coplementi CE  (a). erit N3 += a
e
C
c
Ergo
7
NE s MDO RM.
NBOVA. dato aream figurae.
NRp fry
NR , Y da
AP
qu 391 S +q
U
vn
A a
SLda (epa da) ar-(ya r x p M  AV M.
quar
5
3
X9
si M pMvel AP, applicetur ad NR, fit sru tata F Mn AVM.
Ergo Yna
2
ex2
da + a3+
rursus quia A+
qu
1t
2 1
(yaca MPA
qu X
amu
PX
NR e aequatur duplo Vlo AcMN.
B mPVM + MPA
Hinc (AENR  spatio duplicato spatio MAVM Es seu 2MPVM+ MPA
Ergo Est autem AT, AM et AM , AP + sM. et AVB Y Ergo AT 
A
udi 
equ
v
que
v
+g
Momentum quaoarece quadralinit ex
Nota fuM
qu
NR F
la
er AV
Y
ihil unc novi
e
ut
MP
(22
e
uta
apoe
e X39u)
vad dcneA
quo
392
seu nAVM  y ae
talis ut
gr da paur esyacta
5c
si
t
s
sit curva baB. ejus ordinata
Tubi priot redit
aequatio
X Ergo hinc nihil
+ d p
qu X2
va + a
X29.  q
Ergo ATNAp Vaer da +raeda. Ergo 2MPVM +MPAH sy a ta Y a)
samsus b
+MX
2
a
9
sEk
existente VB sina recto alicujus atcus circuli ductaque tangente (d
sit V
t
aequalis circui illius ordinatae. Aso ipsem O) duotm
103
Mo
Am
a
Xqa
exa ex
qo (4
in rvel
Iin A