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# Title: Leibniz-Handschriften zur Mathematik LH 35, 12, 2
# Folio 181r, page id 00068195:0361
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H (BEl: egque) vV
Cov. estilb. 99e) .. + (b. e)22
h +C.44)..
HBL: e9) LV Hn (bl: e4) P 4 ff mbi esZ = + Mbss
t:9
ais sebl.eq).
2lili9) . - 21h8.
- mb WV - mb ZZ
ob  Z7 fiet ih = - em
2CF
29l - 2
+2mb l. 4) VZ. q umbv + Embg Z = + mibss
3
nmper
et habetur
6b Z fit + tibe = 2e9 (1t ob V habebitur C, nam C et g alibi non occurrunt
ob Zu sit E + ss = - 2 mbbl + Embel,: Bt
vam 2mb (1. L) C b: _) BtL: e - em Ib: C) temtt. = tib. 
ob VV dabitur 1: t set ob V habebitur C seu 2bl (e - b; e) (= b1) + ett 61B- bet
seu  =H= 2mbsl: L) (- b): 3
Nempeob V, sit Emb (L. t) C,: ) et :C - em . ) H, em Ht - mbqq
seu 2bH(B e.: 2) (. b + et t - bg9 ve blbH
seu 2bb ab 2b 2C 2(b,C) bl a 4b 2bH + (e- b) tt - +labi
2F seu 2f6 - 2 e)bl 2 (2e b) n (C b H  2b (ae b) . H
e fit C (C-b): ab (re b, = l: H
den fit  (e + b) Ht = 2b 6- C,: e)l
seu l; Et = (C + b, 9b - e) (C: 26)
Sed hic illud subast incommodi quod quantitas
haec potest esse negutrra, quo casu let erit
quantitas impossibilis. Veuti si e sit essimativa, ut in pat Hyperbota, cuns myuspsa recto b
major ipsa b nstem potita e privatier seum E,  ut in Ellipsi
sit lb -E9., E+b) C.2b, seu
E b,, EFb) (E. 2b) nempe cum latus
irausversum est majus recto, quod non lest in
Clliposi, sed tantum in Hyperbola 
si pro ih ponamus ih fint ih= em.
cit ob 2V siet Y ff β + 2ihbl: et = 2m bl: t
Sn. 4SS re.   2mb. (tot) (e 6). B.
seu .fs+ si + E mebe) l: F = 2M b l: b
fict ff =G sed ilactieret etiam Mb =0
quod non est in potestate, vl fam
itaque ut procedamus quam genacitissime multipicemus
ev La
aeqquationem D per Rih et aequationem E per  ip
et ad ditas in unum B et _ idrutificemus ipsi C per  posito i esse mnitiler) fit 2X 29X = XX = GV
absolut as habetur e, per nam fit = Bmb= + isfit habetur 
posuto i esse initatem Et quia ab vo et ZZ
fipt. et ob 22, biet l (b: C) h =  i, seu h = iecb
ob vZ sit - 21l: 9) = = 2(b: C) (l: 9) - p(Bt: 29)
seu (L ib  Z il: d L p (Bt : C). Unde B = 0 seu ex b =0
quod non licet, vel sore p 20 quod etiam non licet
itaque non licebit rem consequi hac via, et generaliter video
non  non procedunt normales, non suceessuras obliquas
natm etiam normalis seaedem erunt abscessaeque ab eoteu puncto fixo
Ergo ut rem in Conicis praestare tentemus opus est etiam
in (oniea mutari dircetricem sed quia mulata glcunue directrice
ideo hormales frusta motabuntur in obliquas. Et ideu id efficiendum ut mulata directice in aequatione
no composita ex lonina a directricem, et ea quae critur eib per miniam, evanestat ∞Z ita non lit
tantindo ercanti saciua dcuum hsrecta et coreulo u
madenia in pa
cllatis momalio
ofinque
fi
set ze-bel
60Z
e
2bx+D x = yy
ree
ez + 1bee = y7
Dic F b7 26∞
Clats tausvers st
el yy
tit bgz- be = 9G
inor  ZK CXX=)
x
ar
+ZY = L H -gy
maxima, gu y minor
dichidro latere recto
IX = - 4 yy
XX - 24 X 29X +99 = 99 4 yy
qqui quy. Eux qup gy
2F X = FXF- YI
XX = 2 qX + 99 = 4q - qu
Ergo Ergo latus transversum majus
majus recto in Ellipsi
ET 2YX + EXX = YY
29X + XX = YY
X +
= (99 +rr)
sitaque bbliquae vel conregentes non
poessunt instivire, nisi ad compen
tium demonstracide non reu
strnendi. Eu
natione
no
so licebu
lias rectas qu
at, seu pu  l.)
s