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# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 2b
# Folio 151r, page id 00068198:0301
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quaeritur uvae ubi avae ad unum focum propor
tronales angulis ad alterum focum C, punctum medum
inter focos F et V Et CX, X. XY, G CF, C
GY cX G YH. X ob Tiiangula FKH, et Y D(Y)
simila, erit FK: FH = YD: Y (Y) seu FK. Y() = FH. YD
ergo. FH in ex = duplo rect. triangulo FY(Y). porro F
FH = FGseuy = GH et GH = GY, ag- dx et G2t = c -X. Ergo
FH = y = (C. X) dy: dx Et FH in dex = ydx = (C- X) du = dupl. Fy(Y)
similiter VY = c+X, et H VG - 9 + yG. Ergo fiet Dupl. VYp)
yx HCt X) dy id si dividatur per. VY seu v = 1(x+ 2x CCFgy) habibitu
xdx + (C+x)dy: v = ut) jam ut investipetur angulus YI(Y) centro V, radiovC
descubatur arcy secans VY et _VY in V et 8 jerit  8es ado (Y) ut vipseu c ad v, et erita
14= ydx + (ctxdus, c: vv quod si anguli proportionales areis crescunt 
fiet FH dx    YG, constans seu ydx - (. X) dys, (00: C):, ydx + (et x) dus = cons auti  
sit jam Hoc generatim pro curva quaesita
ponamus jam esse FY Z et VY, ~ et Z0 = hh
dq = Zdv: v = hhidus: vnb
7do - vdZe 4v - vtz. Z du-htat  .7
qZ - yy + CC = 2CX+ Xx DD = XX + 2CX + CC + 9y 2Z0r = h7 ergo ful
47 = 3dy + X. l - R CdX, : Z
du= ydy + X dX + Cdx 3: v
= qu (gy + XX + c1) - 4 cexx 7
dv: dZ = v: Z y hy +xdx + c dx : ydy + Xdx- cdx = v Ergo 3dytxdxt v0
ydys +xdx-cdx Z2
seu ydy +xdx +Cdx = XX + 2ext cetgu
gay +xdx - CdX XX = 21X + CC + 9y
gyrxx tec, ydy exdx = 2 cexdx
Est et 2 Cyy+XX +CC) (Eydy + 2Xdx) = 8 cCX dx = 0 se
bpe aeq. e tollamus dusidx ex aq. cd. prodibere debet aequatio coineidens cum 6q. 
Ex Zgely: dx = X (CC = gy - XX) :  (yy+XX + C9 y
lcrx C fit 3ax = ((Vv: C) . = h) y dx = ((oV: C) (C- X) + h setX)) dy
quod duos valores
aequando non veniet aequatio D. Itaque cro demonstratio Gregouana non succedit
seu dys: dx = 3 (Bv: C) - hy,: (vv: c)C. X) + h(CX) Cassintana
enon praestat quod ei tribuit Gpequius
Quaeritu sedhace odum Mechanicus construendi curvan quaesita
per regulam FY, mobilem circa F, procedit Tubus  stylus Y
Tubum Gieris is ventum violentum efflans instar fisente fistulae volantis
ignioomae quan Germani Raquetam, Galli fusaam vocant
repellet regulam circuntgetqus sed ita celeritates, in quavis distantia
eadem eunt non per distantias crescentes decescent
tec
a