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# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 1
# Folio 232r, page id 00068196:0459
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Lineas quasda, ita produare, ut sint ad lineam ad quam terminantur perpendicuares Ergo ipsae
non possunt esse odinalae vel convergentes. Sed perpertud angulum mutur debent vedhangentibus
aliquid detemmare vel perperua anguli mutatione idem est. perpendiculares alicuus curvae ita producere
ut sint alterius cujusdaem curvae perpendiculares
InErculi angulus tangentis ad Chordam est duplus dimidius unguli ad cirumferentia. Quaetatuo curva
cd. differentia partum
hartita
er ericulius et diversis modis sumendo non quadiabre facile A
Modu delegendi impossibilitate probienatum Geometrice sine talculo.
Fqx + pX2 +a,  raxIY
S ADpy. DCHX
 +a + a
co aa
Ven5 +2yta. et
1, fa
.  + ay n ae
et 2aX + a X B y. Ergo + 4X + X + g p + 4y +9
et = x + 9H V9 + 4y et xn + =se+ Q
2aX p a X
Pax +qX
p 49fse+ ay
e 51 x
e Be
2, + 1959+ 4 y + 92 +2y
19y F, y 14427 49 14449y + 9+
tibi lantu op Aes, ut quaeramus
V++142
=a 447
+9 719747
FAB en BH D7 3F A siran B a  a
4 eq + asg 4qy +ay
=a9 +a5...
Prae ua + faqe p
ad haec sunt minis implicala.
+9  S1 +4
xyco
Xr 4 f. 2959 495 + 9 +47. et D 1y +at aex )
930
4 aq = a F..
aeque sy +ata Nar
aq faeru tag
GEBB.. WCco Ab. 1X.  Z1BY
f 29e fr. 427. (4 29
+ aeq + a sin
+a9 7a F +ay
quae pondet ex rua proposita
 in
V,  A IH a = Prax Fari +X at
AI
har fx + fa N2. et
etrX2. a 1 +4y
= aq 7 a (qgy ray
2a X ax
4 a et AY
a Fx 1 + 
co qu
viendum poaelatio iner AV, et GC exprimi posit aequationa S  Z
rB ex R Ha p x 3L
GrC + 54 et
dax f a x p V et   er efel X + 4 + 54+
coret
V+ ap y+
+ Cujus figurae datur summa seu omnium
B + CB X  + C HZ et 2
 I f C PH y (99 f. L9 + 4 5 + 2a4
st 1 90
(5 +ay 7a C0 (Y co
H 4 Sd
eit  co
+ 1=57
a rato addatur quadilaum AV, er quaratur Z pro cardae Elemento fier
1. aF q. bequi Z
in qua sit ttriens. Sed videtur hoc non esse in ptae quid cnva omnis non uniforimis
B diffeculia partianaxis
pat fuaxenL3. F
Z 7B V +9y +a
es
Saxt
oncontra
esquep p By f B ay + B a
2ax+ a X A Y
.Ergo in aeg. 1. inscrendo pro _ et X eotum valores, habebitur aequatio in qua sola extab
extabunt Z. et AV. et ipsa AY pure habebitur. Nota hoc modo non niti
naturam invenin sioe aequationem explicantem naturam Trodocuis
rarg 1.
Can X Araxsteas 
Tangentis verticis
pr