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# Title: Leibniz-Handschriften zur Mathematik LH 35, 7, 1
# Folio 68r, page id 00068073:0135
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ex
RC  X. BC aequ. y. RC qu. r. fiet: r’aequ. X +y.
posito curvam esse circularem.
Hinc qu y aegro Sr- x  et Syex aqu. SS x V
aequ. spatio DRBCd
sumamus alium literam quamcunque 2. habentem relationem ad X
qualemcunque eamque substituamus in esus locium, eruisque stgemus
et recationem etiam ipsius x ad que investigemus (adeoque
tollaum X et dx ope Z et aZ. habebitur nova aequatio
exprmens aliter valorem ipsius V. Unde fit ut tam
multis modis ead multae haberi possint quadraturae
sigurae ex supposita circuliquatoratura.
sit X aequ. a + b7 + c7 + dZ + e7 etc.
fier Ex. aequ. 0 + b + CZ +0d 2 
ab
sedeoque fiet: vaqu.
L
= 2be76 = CZ = 2cd2 = 2 ce Z+- 12 9 2es g
in
141
 d
Xaequ. liz + 4 3co.
V aequ. S Ie -b3. 2bd
e0+2
o + βC ZC1
 in 
22
d aequ. bd + cod 
-4uo b 174 cod,
co.1 d
cont qa
cox
d ph erit h H  r - (I bZ + d 2 b + cod Z
seu h A
-1
2 212 92603
rb + 2r badZ +r cod
ec
co+1
cotB
1 +cod Z
d
r -, Eegrgabo q , dZ
addantur pro arbitrio: fZ q + 97C dz sed hoc forsen canale
Xdu ebe lboz 
tantumque calculum auget.
sit (Xdu aequ. n
d
vaequ.  a - 2ab Z  2acq = 2 a d z  - 2 a 23C4. 6Z - 2 be 23. 2bd2
v
C
videtur explicatio ipsius X.
L
1 d s y s0 d
matilis
1 (sr- X a. Ergo v1) _  V (Fr X dx
et 2Vdo seu 2VFido  do (Fr- X Ex + V
Sir- X do A RBCd. X dus  EDC. Y,X do
sr- X
(N - X x = (X d aeqo   RBCE  Xy p X  X sr  X
X
Nr- x (Ze, 1
XR n e
 X aqu. 
= Z7β
XE,1.
= X +Y X + P B X 
21B
X+ rXIa- x + X + ZFB, B X
Z+B
2+ - 1
+2+ B, 2+B-1, β X2+ -2 enc
jam =X +X aequ 10. quia B infinite
parva.  itq ponendo  equi evaneseunt
etiam quae continent (32. Ergo ponendo
8
9
2
5
 125 2401
ae 1. 1.
2401
121 13,31
1. y. 9. 7a 72 Gya
1. Y. y, 7-1 y, 7 -1, y- 2. y
1 2
1
X+ β p, X + BX.
+18, β X  erc
Bego. au fiet: dX equ. ZX s. si Z onstongalius nog.
196
c0-1