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# Title: Leibniz-Handschriften zur Mathematik LH 35, 10, 7
# Folio 17r, page id 00068160:0033
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Y et progressuu circularium ergo. seu elementa descensus ECG. nantulit ddO = a daf + nt fdd +2a f
Erge Ergo bis dde = a duf f 2a 5d f 42a65. sas
1.3
 at AH. a fras as
Ex eo quod Elementum descensus est ad X radium,  ex aliquo centro eductum
ut Lax differentia seo differentiam ordinatae ad inatam, palet
es
idem prodae, quicunque assumatur
componi ex sol adeoque et velocitatem componi ex solis X et constantibus
quod et praevideri poterati
 + b: 2 = y fet r =  bb + ee + XX - ee. Ergo in Elcipsi fit  bC  ee
ergo mEllipsi r = 2 bbXX + 2 12b67cC. XX-ee.. Ergo demq sit
 jam differentia inter ret bb sit seu n fhb vocetur m. fiet
2
et
X
X + X
4
=  bb XX. = bb ee + ACCXX - 4C
2t
qua
∞
Aliter Subb +eet Exr. ee = r.  et + ede: te de Sax -ee + xdxaene site
est aequatio Ellipss inter X et C.
seu O +  e0D = Y et 2D + ∞O = 0 Ergo O = r - D = - 4 D: E. seu
7Q- r2 = 27 et 0g - rG = et 2O - Y4 =80
et similiter D = , r - C = = 80: 4 seu C2 - Y2 = 80
e
seu ede  bb + ee HCR - Xdx bede 11 bb + ee = axede
=Y ede
Ergo in Ellipsi ubi + ==  destinitur ede V bb + ee et fit
X dx (bfler bb - ec rede. l
Aa
et similiter ob DE - r 4 = 2 D.  seu D9-D4 = 1
IXX - ee X Ax = YXdx- rede
X dx  4 bb - ee = r e de seu ee =
4
2
bb X dx ,: Yde + X dx
substituatur hic valor in aequade 2 =  bb + px + 2Y L bb - ec. XX- eC
LV
et compendiose non le tollendo sed O et D. fiet r = 1 bb + XX + 2 + r C d
seu r = 2 bb + xx 4 2 rede. rxax- rede
Etrede. X x. rrau rete
seu r = L bb +XX + 2 Fede = 2 pede. seu  sit r-  bb = um
Xdx
Xax
2
Iet: mm FXX xdx = fiet m - XX X dx = 2rXedx de -Erede
X de
2
x 
Xax
seu fiet XX - nm X :V + 1  pk X dx - e de
jam mm + rY = = bb. ergo fiet - IXX + bb xdx: r A2 + X dx = e de
et x dx uxa B.  - 2 seu  TXxt  bb: Y
seu
1- TXx +  bb: YK Xdx = ede
. jam e =  Xdde
1 - TXX + 2bb : rS2 G2C = 1d C = X dX
G2C
2722
5bb - ec
Ergo
2
- Xx + L bb: YJZ G = d X N +B d X a  - = X dx. Xdax + dX + Xde d Xda
e
ergo
u
ee
+n e
ian (d. r H = - x adx + n de Lx Axade 3. e
de
Xax
deo =0
2code
d X do
Xddx
+d