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# Title: Leibniz-Handschriften zur Mathematik LH 35, 7, 4
# Folio 4r, page id 00068076:0007
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De carea solvendis problematis per
curvarum extensiones in rectas et punctim ea moti
viditur hic demonstrnu repusno
sem per  Vocdeire uide subt
n
curvam  rectae Lin plano describen
dam haec tria requ concurrere possunt
cersi
motus puncti fi A rectae A
per
rectam AA motus puncti
C ex 1C in 2C ex EC in 3C.
et muratio anguli
rectae AB seu motus
circa centrum A.
nam, ut rectat
ipsum punctum A a C
recta secundum suam recedat vel ad ipsu
cccedat nihe(.
 sibi coincidenter
lon
moveatur, hoc exprimi potest motu puncti
in ipsa. n Hic motus disferta motu
communi quo curvae generantur, eoquod
tunc recta AB maniet sibi parallela
D aequ. Z. ApC aequ. _C FD aequ. X.
DC aequ. y.C
2 C. ACC
FAaequ. a, erit
C2C aaequ dzue. 1A1 Aaqu. da 1d2 eaequax.
L2C5quaus erit dx aX
1D+A: 1AI C: (1D, C) a  -X: c f. 7).: fi: 
fiet; -c + 4 aequ  ed nelius mo
rostrum scapum poterit tamen et angutus
dete iminari per motum cica centum
A indefinite parvu. vel per differen
tias sinuum versorum redtorum de
sed priuum sine differentiis de terminub. inus
quaere ado valorem ipsius X. e ipsius y.
ner f. c.  y. Est ergo data relatio
in ter relatio rationis siu ad f. sit qu
nositu a constarte datur. alatio ipsius c ad 
quia datur gelatio ad y, datur ipsius f ad i
tnum
ipsius. Est autem X aequ. 4 f. Ncc.yy
Ermit
verte
s