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# Title: Leibniz-Handschriften zur Mathematik LH 35, 10, 16
# Folio 4r, page id 00068169:0007
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admoveata C ad N. sed non potest asumi ratio uscunue magna, quia non potest
esse major quam Nd ad NX utcumque enim removeas C ab
ponamus pondera H et F aequulia et sint momenta reciro se velat
nunquam NL excede t Nd
 seu hoc loco conatus recipioce ut distantiae, ea sit momentum
conatus applicatus R, ut conatus upplicatus d , ipsiC
ut De ad cd ad
ut CD ad RC sine con. R: con. C = CD: Rd ita suppono.
ipsi
Rursus NL: NX = con. R: con. C Ex meis demonstratis. Ergo fit
CCd: Ad = NL : NX sed per priora NL: NX = (C N. AV). (Ad: Cd)
Ergo fiet CN : RN, = qu. CD: qu. Rd
qu + equ = CN: RN = eNqu + NDqu, :, R Nqu +  Dqu. fiet
CN. RAgu + CN. NDqu = RN:
Huic aequat salis fit ponendo R
Agu t NDqu
RN
Ngu +RN. Nequ. quaeritur CN (ad
enime ANqu + NOqu = RNGu + NDqu
qu (u
Ad. bigu= Rd biqu
CNgu = Adqu CN_ + 4RNqu ANqu
RK
YC Ad bigu  4 qu(Ad. RV)
qu+
Ergo res procedit si Ad qu t majus quam bis  RN. Nd, sed hoc semper
non sit minus quam
2RN
quadratum hypotenusae maj est minus est
N =
nunquam
verum est nam semper
sed maquam sabilimus hypothesin veram,  nea sententia
duplo triangulo rectangulo,
nunc adtibeamus
seu ut quadrata sin  attractiones sint reciproce ut quadrata distan
E
re R0
NIL: NX = N cd
tiarum fiat con. R. con. C qu. CD: qu. Rd=
fiet CN: RN = Cd: R
cDqu
CNqui-