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# Title: Leibniz-Handschriften zur Mathematik LH 35, 12, 2
# Folio 65r, page id 00068195:0129
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Hac scheda continetur tota
doctrina de Aipplicatis
ad Loca plana
rectam, et circulum:
Atrae nempe exhibentur.
aequationes generales.
tam ad circulum
..
redam
aequ. g. fiet:
quibusdam
a datis du binis caterum differentis, et angulo uno
AB aequ. X. BC aequ. g. ACaequ Z
Z- X iqu a.
XX F
2- 7 aequ. b
Ad aequ. e. DC aequ. f.
 (3) BD aequ. g.
XX F ee + gg aequ. XX
e: f
F ff + 99 aequ. yy
y: g: f5: l. m. n.
Ergo qg gaequ. m y per 5. et faqu. ny
Ergo datis ex aequ. 3. fiet
C + f aequ Z
a aequ. 0
 ee +mm equ. xx. et nngyt nim yy aequ. y7
(13) U
(14)
seu e+  y aqu. Z seu e aequo n y+3  nn + Mne qui ll
nu
reris
-2n yx +mm
Cet
Ergo ex
C
aa + xxtrax fiet nngy +aa +x-Onyx+mmus aequ. 0
seu pronntium e
(16)
ilem a surd+bbryus sebus-En up pamm us . Xxa
per 15 et 2
subliahatur a ae quatio 16 ab aequ. 17. fiet.
bb + yy F 2by - xX - aa rax aequ. 0.
per iset
Exaequ.  et 2. fier. a vel atxaeqo b+y.
quod jam fumpatet ex aequ. 1. et 2
loco aequ. 19. scrilamus: X- y + a  qu. 0.
vel faciendo a - b aequ. c erit:
4ce9d. - 8 +5 _ 4aequ - 3 + Su - rr
4aqu. 8- 3 + O in fiei 5 aequ.  Srr Cn-
multipl. per
Faxa +y,
x -y +C aequ. 0
4X + 3y +E
+2x -37 +2C) (22)
+3Cy
++cX
5aequ. 20
+49+5
razue - 3px -409 5a
=4yX
+3Z
-+ ubZ - 136X - 12B7 - 15b
-B3yX
= 157
Zt BXacty+ .5I
15Z
b
Trianguli invenire Triangulum
4aequ-3+5.
T3Xy -3yy
temyy
135aX
Cos
Gaa) aequ. 0
(exaequ.16
multio
 3
ACqu. 24. compara Bacum aequ. 11. signi D Deugx stemns
5.
(25
aequ C2
B aequ
denotatquan
nqu
+et (2) in
circu
eo co
6gl
4+3 -5EBC2)
fiet zaqu. 5 ( 3f qu. pone hant (2
alot
ampon
1aey6.
EF
s
E
v. X. C0
27+ vn aequna
FEa
+
vaequd
quovalore substituto in
. 
: exyx +od  id
fiet
d
E Deaequ. 
Ssco aequ. 2
CX
frr- co substitutis valoriaus8. 10.
habetur aequalio nova, luimodi
per 38. srgu per 27
. 5+ Cet Ax aqus te sA) not(. atetur erus
poterit autem a sumi pos arbitrio
LRequatio Generalis ad circulum cn aliae compa
bp + GrccS)  p
+dd (S.
 - 2d
hh aequ. 0
2p.
ebent
 sa
si punctum E cadat in circuli circumferem
pp + dd-sih fiet aequ. 0. seu
terminus cognitus destruetur
ingsi
habetur
haberuque et e
equ. h