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# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 2a
# Folio 2v, page id 00068197:0004
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si in aequ. a valores inventi literarum X et y substituantur ex aequ. 13 et 1s, e fiat
nova aequatio 17. Ejus differentialis jam quaeri potest, nemp nempe tam Z. et Yquam
etiam quq. variatis: ubi notandum esse dq aequ. YZ  dr quo valore in aequ.
18 substituto, habetur relatio inter dze. dr.. Z. Y.
10
didendum esset jam porro, quando curva generans RR per
Communem Geometriam inveniri non potest, an non saltem inveniri
possit generans ipsius generantis, vel etiam generans secundae aut tertia
generalitis. Nam si semper constans haberetur Methodus aliquam
harum o qua demonstrari posset, aliquam harum in hac generantium
sere serie essario fore lineam communem, habereturmethodus
angensiu
generalis pro constructione problematum indersorum
linea
Cogitavi etiam liced cinulus quia circulus evolutione generans est locus
centrorum circulorum, qui curvam generatam ostulantur seu eandem
ea flexionem sive curvedinem habent; anmon fate linea
Cogitavi etiam quia racurvam evolutione generan
tem invenire non est semper in potestate, quan do curoue
geverata  est tmmstendenter differentialiter data
an non possibile sit saltem invenire duas curvas
Eoevolutione generantes. Et videndum an non
uti circulus Ccurva evolutione generans est locus
centrorum centrorum crculorum, osculantium
seu radio tanbillum auo extra curvam langentium, ita
an Re et SS. sint loca centrorum seu focorum
Ellipsium curvam osculantium, seu eodem iisdem manculibus
focis quorum quibet  maximus eorum qui isdeme
mosa
manenlibus focis curvam intus in Dato puncto tongeo
in quo langit plnctor, intus lansere possunt. Ut scilicet
filum tantillum aucto, cadat Ellipsis ibi curvam tangens
extra eam cadat
+focorum distantiis