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# Title: Leibniz-Handschriften zur Mathematik LH 35, 6, 27
# Folio 3r, page id 00068072:0005
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progrediamur ad sedionem Conicam generalem, ubi adhibetium
illipsem sub qua alligi pt mutatis signis  hyperbota, 
Axis AXZF. curva duae VV et GG, quarum ordinatae
ad axem Iq et GFqu sitque curva puor, locus unius foci
et altera GG, locus alterius foci, summa foum longitudo
distantia foectum VG, sit m et sili longitudo nempe
VY + GY sit 2Y. seu semiaxis transvertis Y
G. AX, X. AXY, y AZZ ZV, V AF, + FG, g.
qu v4 F7
L+rum   vi Y V + GY facit ZY. et
jam VY _ = 4 (9-V + Z.X) et GY = (y.9 + f. X) ergo fiet
(y- v = +(Z. X) a) + + Y((y- 9) = + (f x) )  2Y Ex his aejus prima
non ingreditur calcurum. Sicunda du ilici modo differentiari p vel ut genim
unicitur X, y; gneminentur caeterae Eterae, vel contra. pripre, modo est
quod si r sit constans quod in pte est, facilior ert tatenlus, et fiet
(y-v du + (Z. X) dZ
Ny v + Z=X2
(9L v) dy  (Z- X) dx
y-9du + f. X +5 =0
Y(y=9 + f =X 2)
+ (y- 9) dy - (f -x) de
si 
si r constans
 seu fiet
N(y. + ZX
(y-a + f)
 aequ 2. et 3 invenit (G - et + (- X) 2s - v)  sg + Z. X) 1y-9) dy 
161 
. ly -g +  X) (7. x) + Vsu- p + Z-X) (f - x) (= dx: dy = t: a)
posto 1. a) = (7) X. y. a dato Er ope aequ 2 et 3 inveniatur valor ipsarum y et X
Z, dv, df, dg.
e habebitur aequalio dans stelationem pro ipsis 2, 0 f.9
ius : lx = XX +yy,: aa sit ila mstors fit seu sit lx constans fit q dilus. dx = (2X Ix + Eydy). 1X + (∞X rgy) ddx. re posito delus.
cadhus Xxdax -X dxax (
seudus aadyqixddx ved dx q Axardus + 2X
seunadiseinus = x  XXCxx ax a aadus ex +. XXdx dx Z: 2dx Vaadus xxax
2dX iiciau. Excx
imo et quaevis alia
priore modo
posteriore nod
et tollatur inventus ex aeq. 7
fit =Ry = XX dix F yydux F2XdXdX,. Eydx, se
Ailiter aa dus XKdx,: dx = yy. seu y = adus  xXdx): dx et dy-
= Haa dy - XX dxx)  Acx
cd