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# Title: Leibniz-Handschriften zur Physica LH 37, 3
# Folio 78v, page id 00068532:0152
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pccud fit A F = XFL, AE = GH a GH - GH
AL
G1
suncttur BFLF et ex medio
 puncto ipsius AP. ds
Ex puncto Pmedio ipsius LF, radio PAt
describatur circumfcientia circuli, cui occurat
. LS perpendiculariter erecta ex L. ajo, ut aequilibrim
sit potentias A. B. fore in duplicata ratione CA, SL. Cm
Cum enum sit LP = PF erit Fq = AL, et Lg- AF ergo F SL =
L ALQ = AF AL ergo A(= DE) = CA
videndum an posita LF FN, sit C
LN
5
F seu an SL- 2CF
sed hoc solsunt, ideunite. Ergo ex demum casu posit,
AB AL B, etAC BC ut aequilibrium sit, opus
est fieri
AC= SL. idque problema per analy sui solvi
daba
potest quaecunque ponatur ratio ipsamno AC, CB. et
posita AC= CB Etingentu ex datis similiter ex
data ratione pondem ett ipsa AF, vel ipsa CF. et
seu exda ratione implnori poterit CB.
po CB+ a. CF = b eut FB = a- b ua si dividatur
QFZ b Ejusque dimidium  PF
erit S a. b- b - 2 a 
1a- 42gav 92aV
E
Ac
habu
Ergo PA: P5
25 a b erit 
et SL -dIS- PL 2.
seu
1+- 3 a6 2b- CA= a
in AC impingit tachium alius rectis CB. quo sublato
et alter AD. stollitur lv Dantu 2 recto AC. et
CB aequales. datur et recta CF. et et AF = FB. Datur
ergo et angulus CBF vel CAF. Attollatur BC. in BD.
per altitudinem DE, infinite parvam. Pondus quod me.
esse fixum intelligebatur transtatum erit in G per altitudines
GH. etiam infuite parvam quaeritur ratio DE ad GH.
producatur DC dum oaugrat ipsi AB in L. patet rectam
lineis veris expressa.
Be. esse ipsi BC re perpendicularem quia BC. et BM,
cui plipendicularis et conccidant, sive quod idem est
differentiam habent assignato quavis minorem
Endem Ge producta in N est perpendiculeris
Caelerum ut inveniamus GH procedamus velut si linen DE esset
ipsi AC. ve
vea. dutaeque AF=FB et CF Ante omnia B
ergo posita DE = l, erit CE=
eodem modo G H = 
Hc
et
EF
L
CE FL
CF -eFG Ergo AA = AF+ FL
FN
LL
e
num eA, in rectungulum A, CL AF  B et DR = CF + 1. quadrulum illis AR = AF 4+ 2FL AFY FL
AFF CF
Ex 2ECAFE DR 1+CF
EEF
e+ Ap2
et stum DR = CF + 2 CF + 1. Denique AG= AC.
AF erit AD = HLAF + FL AF + FL
GHC quadatur, fi et ncrice lCF + ECF
PX
I D AG CF + AF2
pet rGtC eF multi plicetur per Crucem
+ (AB 2 AECF + ACF  = AF CF +CFZ Z FL, AFCF _F+ (FL e P2GH AF + 2Gp e
et pstetA sH. C+
(qGHTLAF+(AGH CF 2
(2 At. GH ) (G H ) + 
2H EL  (2GH F) 1 (GHAF) + GN cF
 (er
V et R
esque perpendi
x
vel
e
Duae sunto bila
cad
s
Ergo
a2 - 3a 62 + 2b = at - b a
Ergo - ab + b 0. sive a=
in sit impossibile nisi 
In A cB
AC, B
dant
minuum
rectae
punctus s. B.
CBC in sunag ectam
ex
perper
non potest
ves aequaibum
elit
et ipsis
ac un
et A = B.
BC. ascende
oiculariter er
Elcontuu
b
erg
21B