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# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 2b
# Folio 124r, page id 00068198:0247
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mo minim
dideamque an maximum seu optimum
praestantea figurae alia Methodo invenori possint
ext. g. figura latenae propiro pondere gravatae,
seu ut dara longrondo maxime descend ut pal
e
patet seu si suspensa sit catena ex punctis C et CC
debet figura C A (C) esse tatis, ut AG, posito centro gravitalis,
sit AG minima adeoque et ese eo posito arcu nd
erit Cyan n in minima, adebque et D (ydu erit
Undel sequitur sed au licebit dicere
etiam ycta esse minimam non puto nisi addatur
minima quia re.
dato arcu. itaque fiet ydu= minim posito  areo
sed is hoc loco est ipsa du. Unde apparet rem ex duob
an iore constantem seu fieret u minim quod seu
non licet. Itaque hoec via non
neque expriuitur curva, uno puncto
dy 0 quod
itaque assumenda puncta duo
et ex his inveniendum ztium ope minimi nempe
procedit, 
solum assumta
A
Y - dy 1X 1Y = y,
 Sit 1X 2X = B d β = . Vd et 2X 3X = dx - d(3 = eY 2d
d9 +X 3X - di
et idet = d
e
D3V = dy
1X1 Y = y
152Y = d3 ( 285G 283Y - dy - d)
X3X =dx
1X2X = dβ  2(3
1Y2Y = s(a BdB + dY 47) et
dobet esse
A( y isa 3d ( + d) d) + (y + d) Nax ex + dydy + dB a β + d7, dy - 2dxdB-2lydi
2Y3Y = S(dx dx + dBd53 = 2 dxd β( F dy ly + a71YL2aydV
+ubi differentiando fret
eu ddB + 2y V ad)
A(a Bd β+ 4)
1
A F~ + PK
t ML et LR sunt quaesita
dantur Mp et NZ
vaYF R + FL
L ubi L]
2) +  ABddß + Nd) dd)
0c
CAxex + dBdo = 2AFdB)
cd) laydus ayay -2dgd)
+
((ABd (B + d β d B3
yas dds3- Bx dd (37
agavadV - dy +dY y
AxdX + dpdB = ELx + B
agnus a)) -2471)
dy = 2d) + dd ax = 262 + dap, hoc substitu
L) adB, day et y
Ay. dx L LV dC, 
gu Bd 3 + (9) d (3 d a β (= 24 (3 d (3
endo habetur relatio intera
Ex dx + d βd (3 = 2dX d (3
2 d β ad ()