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# Title: Leibniz-Handschriften zur Mathematik LH 35, 12, 1
# Folio 214r, page id 00068194:0427
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27 Maji 1678.
sit aequatio
ad Conicam: It2 +q2 = v. aequ. 0
AB aqu X BC aqu. V. GH aequ a y.
H L aequ. V.
in ipsa GH producta si opus sumatur aliud punctum F. et sit
FG aequ. f. Pae praeterea a puncto curvae L. ducatur
ad diametrum GH: recta LM. ita Ut triangulum H LM sit similie
luidam datoLNP uta ut sit sn ut sit
vocem LM equ LM a aequ Pagu LB. seu LM ago. F v.
Lusrgon)
laequ. LN
et HM  aequ.  nago NP et HM aequ  v.
HAaqub
l’aequ LN. 
Denique ipsi GM ducatur paralleta RZ; et cui LM producta
si opus ocunat in Z. et sit ZM aequ. m aego FR
et fet et sit QL aequ y. et R lego. X. aqu F M
fier X aqu  Z v + b et y aqu. s +n
(numeros orodo ob variantia signa)
fiei Z aqu. +X = 45 nv - 4, 6 f
fei vago 2ly - 2 a lim
seu Z argo 2 X, = 4, ul y 4 4, 5. 38 lmn 
=46f
tempendus causa scribamus 7 aequ 4X + 20 y + e1 et B aequ 22y + 23
subestitiendo ( in aequatione 2b + + Z aequ. v, fer:
S.
ay X.
 etX 1oY +2 b, 1
Haconnbus curvis
communia
+CK7
26, 4 26, 20 2b, 
 (90)
aequ. 0
+ 220 2 quX
+2b20ny 1.b ue
=27923, Y ∞ 2327
Y+5A + 0X +0 y + aequ.
an 2ouls + Cn AAS A. ten AuiX tCgpor Y 
+en, 21 2. +Cn, 21, 23
+Ck, +, X tex 2o, V, +C K, 20, 21
+Epary + cp, 13
+CY
1120
Na - y + m D yx + _x + py = td
450 4
compendio se
(927
40X 9cY) + 4213
pesoy
50so xy + 5op J nso try
IX = + 8 VX + a X X or y + es
Qui o.
aequatu gr comparetur cum 90. fiet 20 +2 equ 50, 41, 22   equ 1
er sur  gx est 50 oqu d, 520 - 112 C 20. Ergo 2et aqu, F de . 17  . 400 t 1 23) 40