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# Title: Leibniz-Handschriften zur Mathematik LH 35, 12, 1
# Folio 217v, page id 00068194:0434
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DCqu. y. DE aequ. d. AE aqu e. 2 
 X
Ex natura generali sectionis sonicae 2aX
Porro si DC vel De est minima erit
rgo ex natura sectionis conicae
X aequ
PB aequ a 4 ax etiam
 qu
jam
CYIqu. 
 est quantitas affirmatira
etar ve
esectio est it
t
calus
si aub nsin
su
obpen
abolu. s negativa illipsus
 
infonita
Si solla
nctum
29 Maji 1678.
as
caste
(170 (4) valet +. ent
Ii Ex puncto dato minimam (2).....
ducere ad Conicam datam.
problema inter difficillima habitum
(3)
nunc tandem felicissince solutum. (4)
na
Schreda d
let
Poterimus duobus signis complecti ista quatuor, si  illa duo sint qua ex
qualuor signis composita, ut (+) aqu. F. et (4) qu. F a(4) aqu. F. es(  e. +
vel pbi brevius exprimendo + per 1. er - per 2. fiet 112
irguex aequ. 3 fier: atx te Ego 1d +
121
11i 2I
Ubi primus nuneus sempeu exprimit primum casum secundus secundum, et ita
+.
quu
porro. fit Ergo BE aequ. 1122X + 121C.
(9)
ED aequ.  PB+ 11R PB +IIZIBE
EP. aequ. 1112 a + 1112QX 1112X + 1221e
(11)
Unde quia DE. aequ. DF. Hinc frec
E
CF aqu. EB
DF aequ. 1121d + 2211y.
seu
(12) mod t2u
qu.
NI22X + 1211C
(1122 dX) + 1211 de aequ. 1122 ad + 2212ay + 1122 ad x + 2212 a xy
Et multiplicando per crucem,:
.-
Et ordinando:
(+ 1122dX) + 221 yX + 1211 de + ∞ 2121 ey.
221207 yX +221a y + 1122 adX + nuad aequ. 0. 7
bax - bs
Componetur inde aequatio 16
lineam rectam, sit illa:
fier
+21de
AlyX +15y
+hX +tf..
+ 2ba X
+ Y
2121 C
(15
aque
quam tentemus comparare cum aequatione ad
ex + fy + g aequ.0 quae ducatur in hx+ ly + m.
hx + ly + m
+nx tufus nu aequ. 0
thg.
Hlg.
Quam comparando cum aequ. 1G. fier. h aequ ba
quam compara binhus cum aequ. 16. ubi prius eam compendii causa scripserimus hoc
modo: ba X - by + n yX + py +  X + Y aequ. 0
(22
(2
(21
+ 2ba
er X.)  c
et per aequ. 22. 23. fiet nof- ba fr aeqd. - bbu adeoque b aequ. no f. epetusla 
af29 Ergo l aequ. nq
Comparendo fier. 2aequ:
per X) m aqu. H + Z n9s - hg. et (per yA just 26. 27) af + 21gf + n9g
Unde fit 9 aequ. Pg = pa p. - aq f) + _f - 2ng f af- q q- af
f- 9
(29
1
junet aequ. 25
agu p.
denique per ultimum terminum mus aequ. r. se ubi valorem n. ducendo in valorem
30
9. assurgitur nimis alte ad quintum sclicet gradum. Quare utileerit
verte
prius ipsam sectionem sonicam instriuere arbitrarus Nimurum
(4) valet F et (4 qpatet -
(16)
 equi 0