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# Title: Leibniz-Handschriften zur Mathematik LH 35, 5, 3
# Folio 14r, page id 00068021:0027
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digeramque erunt situs qualuor ipsiu D, carietatem afferentes
(1)D, dat: + D B = T A + AD
(2). ...
(3) d....
(4) D
FD , + Ta = Ad
TdY + TA + AD
TD A. + TA + AD
Generaliter ergo TD ita exprimemus:
(27 =2A F AB
3
rrgo  hoc mndo DE  = ax + af. 4. xf
et eE
F Sratx
Poneudo rum DEn y, fier: ay 4 af
Unde EtL
+a +f
+Ne
2ay
+2af
+
Z f
Et B + EC + et
(1)3, Cit 2, (7d17d.
Et Y +EC + CL
EL⊓ + Ec - et
a Trax-X
a
+a +
a2 =2af +f0
=2af  +us
(a + 2af +f
At
Et  - EC + CL
H X, et X H
de adeoque
2+
= 2ay- y  raf qui locu est
fiaca circulum. et cum, f10. fune fit yv +2ay-y.
intro ad ipsummet circulum datum,  quae est relatio productae ad
prinde sit
reductam in cyctieide primaria, quod cu
in peanum,etir
rosum
jum sumtis aliis curvis, vide parabotas Hyperbota, Ellipsi, dideamus am
mantur, ut locus relat
belaths
cordinularum et reductarum Trochoeidis parabolicae, ’ explicetur aequade
ad  crculum. Ac primum in parabola inguiramus, et quo major
sit calculi simplicitas casum investiremus faciliorem cum punctum D datur
damet axe prarabolae, et intra T et A. erit TDp TA(BXA- AB
Ego AC, fax
= 1
PraxnBL
 CAH ML,a + Eax
YSarax tum DE. e, TDB X - d. Ego DE, AC  Xf
AC
TAMX
sive DE Fax - tat. porro Et est ad DB
porro TL A YX + 2ax eit EL ad TL, ut DB seu f +x ad TB, 2X.
 la + rax
Ergo ELH f+X, SLXFX jum DE sit y, erit
Jn In Et 127 Ssrx  2af +∞Y, sive (4ZX) pat + 4af X + 2aX F +X Ho
2X
+fa. 127.
s10 unde 42 pro X uli
sive X3 - 2CX +
Eidem modo 3E13, a X - 2afXF a 4X)
ex
-2y
fet: 2a 2t _7+ 4af
iafu X i 1+
12
2a
aequ
f + a
Et  FEc FCL
go lim 2aX-
sue
ejus valobeus fiet: 2ax  +2 ax
14f.
2.
in
l
2a7
L 2af)+ a
a =2af + f2
rasy- af
(y (= rarYC a s