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# Title: Leibniz-Handschriften zur Mathematik LH 35, 6, 9
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G. G. L.
De solutionibus problematis
(venarii vel
aliiisque a Dnes  propositis
funicularis Act. Jun. 1691 uliisque a dn I. B. propositis
tribus
arde derectatus sum lectis, solutionibus problematis
solutionibus inter se consentientibus
a Golila propositi a C. Bernoullio renovati  cum enim consenserimus
in smme reruu consensas enim inter eos, qui non communcavere
a quod
jorvicem,  indicium est veritatis, apud eos valiturum, quibes talia acculateess,
conferne
lbet
non examtinant.
examinare non vacat. Etsi autem omnia minuli examinare
concordia.
non vacaverit, in summa tamen rei manifesta est confensis
scatenariae
Ne Legem Tangentium et extensionem curvae, in rectam
ocontachs geat cui otium mesu olim ACt. dun. 86. p. 489
invenimus omnes
ontacts gatte quem  osculum appellare panite explicuerim
expliruerim per radium circuli osculantis curvam osculantis seu
ex omnibus circulis tangentibus maxime ad curvam accedentis, eundemque adeo quem
eundemque cum ipsa curva ad rectam facientis angulum contactus,
placuit celeb quorum sane circulorum centra incidunt in curvam Hugenianas
ab Hugenio inventas, quarum exolutione describuntur datae
placuit viro celeber Pacuit Celeberrimo Hugenio, animadvertent
lentra ec horum circulorum semper incidere in lineas a se
primum inventas, quarum evolutione describuntur datae, speculationem
huc applicare et investigare radium curvitatis vel circulum osculatorem
oculatem curvae catenaria, qem seu curvam evolutione generantem
quam et dedit solutio Bernoulliana. editHlgliiataa
Hugenic in Hugeniana autem, distantia quoque habetur centri ct gravitatis
catenariae etab axe. In Bernulliana et inea, ejusdem distantia tam ab axe quam
et a basi aut alia recta, adeo puncti determinatio. Quibus ego
hujusfigurae seu
et in inea centrum gravitatis etiam careae adjeci. Constructionem
linean. Hugenius exhibet  ex supposita quadratura curvae
Joh.
quarti gradus qualis est xxyy= a= aayu, n. Bernoullius et ego
reduximus ad quadraturam Hyperbolae; e ipse etiam adhibuit ille perbene
extBer illo, adhibente etiam extensionem curvae paraboliee in rectam
vertene
me demque rem omnem reducente ad Logarithmos, eaque ratione
obten obtinente, perfectissionum in Transcendentibus exprimendi
e
si
pariter et construendi genus. Sic enim unica tantum supposita vel habitae
ratione constante,  infinita puncta vera ex hiberi possunt per
ulteriore
communem Geometriam sine interventu, quadraturarum aut
Fquadratum
figurae catenar
= de reliquo