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# Title: Leibniz-Handschriften zur Mathematik LH 35, 8, 10
# Folio 6r, page id 00068105:0011
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Elementa curvae evolutione
descriptae, sunt proportionalia
arcubus currae evolutae
Ergo se habent ut quoquadratrix
ad summandam. Evoluta est ut sum
manda, evolutione descripta est
 ut quadratrix
Hinc illud costligimus, si
decur Curva proportionalis cuidam
figurae, dabitur et curva proportionalis
differentiis ejus figurae
dxi
e
Contra si datur.) curoqu proportionalis
cuidam figurae: dabitur et curva proportio
nalis summetrigi ejusdem figurae ex
supposita pridiis (aquae in rectum extenso
Ergo Arcus uvae evolutione descripla
sunt proportionales summis summarum
curvae ebistutae
in rectam s
si curva evoluta
xlondatur ejus
applicetur scania  arcus curvae
ebolutione descriptae. curva
inde orta erit parabola exi
u
come
euta converxitalano
ee obvertens
C yy ay aequ. Vy +dx
e
d+ a a Ergo ydu aequ dy + dz
a
e
a
2
Ergu dus aequ dus. datur ergi
a
L. seu datur curva proportionalis
parabolae. Ideinde altioribus
fiet Laary aequ 47
yy
Lbayu aequ e. datur se per
yse quadraturam circuli datur
tyec, seu aa- yytus
eit G aequ
yy
ec+ 1
aa
seu yaeqo a
sectaa
E Novendi
10C1