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# Title: Leibniz-Handschriften zur Mathematik LH 35, 14, 2
# Folio 45v, page id 00068202:0090
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Tinstatus nerquis de hac maters
posset appellam Geocentucus
ariui
cur supponitriaqui guora factam
sint i locis centro grarum henis
Ex punctis quotcunque quadrato
ordine
eit recta quaecunque BC. ducatur
a puncto suvato
et
a
in distantias
VE sit BF =b
sit BV = V quaritur e
et EF = C fint scc + bb 12bV + Vp = EV
ergo summa omniom EV insistentia in V, eritsad Cc + bb 12bv+o=.
quae pendet ex quadratura Hyperbolae si PY vocetur e
pet eede Hac summe pendet ex quadratur Hyperdoro
t inventa igitur summe acta
potio maxima V est go seuBC.
dicta pro V substitustur Y seu BC et pro y ejus valore
a a
ex AG AB seu B X. et Ret:
l
Sdo scc +  bb 4 2b0 + vn dx
aeterum ex his patet regitam centri gravitatis hae non
succedere, qua alisqui utimur ut scilicet habeatur ex empli
causa momentum rectae BC 1x puncto E, ducendo
punctum rectam BC, in EV distantia centrus gravitatis seu
medii ejus, quod est centium gravitatis absolutum. Et proinde
sequidari quoddam centrum Gravitatis, relativu rectae ut BC
relativum ad centrum gravium Z. Nempe momentum
recta est du sec + bb = 2b v + VV. lposito maximam V esse
ipsam rectam,  jam dividatur hoc momentum per BC seu y
es
seu upplicetur ipsi maxmen V fiet Sdv sec + bb + 2bv +VV. V= Ec
e
seu centro C radio vatore isto ipsius EG describatur circulus, secans
ai
rectum BC, in punctus G, quaesito, quod serito
gravitatis relativum. Hinc si ite Geadat in F seu rectam
BC continuatam, tunc centrum gravitatis absolutum coincidet cum
elat eo nau posita G∞ 0se c-0 se FEscu C =0. filt
EGanFGs dv b-B = bv- L vvis. seu quia mexima V = y
siet E+ FG= ba t0. crrp BG= 2Y, quando E) eoiocidit F