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# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 3 (shelfmark LH 13, 3)
# Folio 152r, page id 00068200:0305
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 155v); this page is its right half.
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# After the first blank line: the recognised lines in reading order, one per line.

e
s
super
Invenire
curvam generantem data
trochoide.
ABC
sit (planum mobile  super recta
immobili 2B3C I Hoc planum
terminatum sit curma sit in hoc plano
curva BC. rectam immobilem punctis suis B. C
successibe tangens u pnctis rectam im mobilem in punctis 2B. 3C.
ubicungu
notu atterius puncti ubique in curva, aut in plano mobili
linea tA
et aut etiam extra curvam, vel extra planum sumti, et cum
Trochoidem
2= plano mobilis rem Rec curvam 2 A3et dicimue
dcurvam BC BC generatricem.  quanquam
addendum sit, dari posse tochoidem descriptam etiam ope curvae
o in superficie curva duarum superficierum curvarum intersectione
designata seu quae in plano existere non potest. Sed nos
hoc loco trochoides tantum tractabimus in eodem plano existentes
et a curva in plano descripta generatas. Exhibuimus autem
e
describens
Ec. in figura casum
simplicissimum
cm punctum
emoru planum mutet sed non omdria
Data curva a A3A quaeritur
sed nos casum ieum tantum expendimus cum apvas describent
in absa curva ista ni plegamu
un alicui plano emmobi
si datu cuum 2A 3A, dabitur et ejus axis aliquis ejus relatio
curva A BC mon
ad rect
quaeritur jam curva BC, data curvia
rectam
Si datur curva 2A3A. dabitur ejus relatio adm 2B3C. velut
2A3A.
dexi+e axem. itaque demittuntu sumatur in axe punctum aliquod
L. et ex curvae dab duca trochoidis datae dem punctis A
demittantur in axem perpendiculares seu ordinatae AD. erunt abscissae
LD. ta vocemus Ad Y. et LD. X. Manifestum est
etiam permediculare autem ipsae autem AB erunt per pendicular
ad cuvam trocoidem 2A3A.
jam si dantur
tam si datur et has AB. A∞
X et y. dantur et p. e sive
 + si ut distinctius loquar, si datur relatio inter X et y. dabitur
vocabimus P.
et relatio inter p et v.
sunt autem ipsae p nihil aliud quam
ecta seu AB E nihil aliud quam rectae ex puncto quodam
dato A. ad curva e puncta quaelibet B. C. ductae
et ipsae y seu AD nihil aliud quam rectae ex puncto dato A ductae
es perpendiculariter ad cuvae tangentem B2. vel C3D. itaque probema
n+ e t. e propositum
13 A pril. 1679.
ssitam
etas
verte
=
e F
de
eX
 
desehaturque
+
5
C∞ +∞ E3
e
ea
de=
12
 
+
2 5E
E
EeF
a
D = E B
3=
AE
5. 
19c =5+
N
e
12
LC
+ e
3
5
dEi
X2
 ad
e
3
n 
E, = 3
da d
3
e
e
65
N
b.