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# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 3 (shelfmark LH 13, 3)
# Folio 152v, page id 00068200:0306
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Itaque problema propositum, data
2
generatricem reducitur ad hoc:
hochvide invenore
data proprietate curvae BC.
quae consistat in relatione inter rectas ex puncto dato
ad curvam ductas AB. (AC.) et inter perpendiculares
ex eodem puncto A ad A2D (A5d) ex eodem
puncto A ad curvae tangentes Bcd. (B2d) ductas
invenire curvam, seu puncta B. C.
hoc problema quidem hoc modo reduatur ad problemata tansentium
inversa, hac quam dixi ratione; Verum quod pulcherrimum
rror est ostendam ipsum ad communis geometriae protlemata reduci
Und via aperitur nova et mirabilis ad methodum tangentium
inversam redderdanta figura tractabilem multis in casibus.
in fig. 1. ducantur rectae 2AE 3AF quarum angulus
2B2AE, 3C3AF (Bi sit datus. Quod
utique fieri potest cum ipsae 2B2A, 3C3A sint datae  Ex punctis
eDE
positione
datis 2B, (3F) ducantur perpendiculare ad rectas datas
2AE(3AF) quae proinde utique dabuntur Itaque dantur
etiam puncta C. F. adeoque dantur relatu, datur relatio
constans inter 2AE (vel 3AF) et inter 3 2BE
BCF) id
est si jum inspiciatur, figura secunda inter curvae
generatricis BC. ordinatas DBEC
 (CF) et
abscissas AE (AF) quod quaeretatur. semper ergo
data amlutica per communem analyticam Trochoide, fret
etiam per communem analyticam ejus generatrix haberi
potest. Loco rectae 2AE vel 2AF ad in fig. 1. ad perpen
diculares cureae angulum constantem servantis, poterat
sumi aliquod punctum in
hujusmodi recta aliqua, sem
punctum quod cunque a puncto A aliqua, exempli gratia
fieri posse punctum A2H vel 3H tale, ita ut distantia
inter A et H sit semper eadem et eadem; et in universum
sumi potest quilibet. alius modus, um quo punctum H. determinari
 sit fixum erit et punctum H fixum et in veniantur rectae
quod patet
semper
erda
et inveniauur
rectae (B2H
3C3H