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# Title: Leibniz-Handschriften zur Mathematik LH 35, 14, 1
# Folio 122r, page id 00068201:0243
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in circulo ax - X Y a. diameter X sinus versus.
+3 x p+ Z
a.
a
a3
e
)+ V. X
Cp  + sx A X
X P y + yX +y X
x H
Xp
1
X p
1x4
Y +2pX - y+ + Y
n
xx
YX. y4
Y + 3YX -2 y4
+4yx - 3yt +Y
X p s + 3X, seu X - Y X  y. seu Xp d
 yXe 8 X- 5 et YX - XI - y. et XI3
Ne ergo contraria semul concludantur considerandum hoc est, quia sumus
XHI y +y X, tunc si V et X sint ominores unitale fore Xp YX
Ergo X - Y Xp s. et XpY. Posteriore autem modo ratiocinari
y
non licet, ner detrahere, qu isi quod constet esse minus.
posset tanda sumi 3p 1. modo X sit minor, et tunc omnia
fient contraria X, autem necessario major, alioqui tolisenes
infinita non esset vera.
Y p
d 
2.
V +5y X -4y + 3y =2y X
Notanda ac solvendi difficultas icum dicitur:
potuisse et dici:
a
x.
x-
s
a
0
m
X
V X- 3YX
+x
-3y X
xp
-5y4 6 y1
1 - 6y+ 5Y - 2y
5
1-6y 45y. 3y
LXB
15y
Ex his jam satis upparet quomodo quomodo gine
neteriore calculo propiores temper ac propiores ipsius
valores invenir possint
Quarum differentiae
hipsi X
semper X in 1 -X p 3)
Forte re recte expensa additiones et negationes alternantur. Videndum es minam
ex aequa duabqs aequationis radicibus salisfiat Videtur quin etiam ees
appropinquationesi, c per con sequens ex appropinquationibus series in meris integris
obtineri posse. si t tali scilicet modo misceantur quanti dates, sive aequationes et deter
minationes, ut divisio fieri possit residuis sempeo commode suppletis, poterunt  scilicet
ascribi aequationes in certos quantitates aut formulas ductae, aliaque id genus. Sed cavendum
re su pes io cuu ies mniear
N2. et dividendo
rec
3
liac
X P
2
Xp
X p
yt
ponamus a  1.
Y2-1y+
+- 2y2
Y - 244
e
2
x 1
Xe 
1- x  1 - 2y
- y2
1= X 1  - 2y
1= 352
1-297
y. 3yt ry 1- xr.-ay 42gt
P- 4y+2y4
V
.
- 4y +33
1- 5y 1y
1-3y+1y7
1Xe.-5y +272
14y 12y
y
Yap
AH axuy
seuxx.y
ss
+rx. yta