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# Title: Leibniz-Handschriften zur Varia Physica LH 37, 4
# Folio 2r, page id 00068606:0003
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qe
fer V
padis
in Gconc
acs
in
tendicalarier subl
ie
uleinestac
magis 
n pelictur, et fod
dSx -  ax 
YX
d X = dx X cs
ax c
sit gloeus  descendens  pland Ad sine volutionem ita ut eodem semper
puncto d planum langat. Ex centro cius C podeat chorita CB, ad rochleam B, per
quam globum isustinere conetur pondus E. sit globi ce centum
Gravitalis Ga centro tignis diversum strem in recta CD et centrum commune
umponderis E, quam centrgrav. G. sit X, ex D, 5, C A in rectam
BE demittantur mormales dM, Gt, CH, RP; quaeritur situs ololi et
ponderis talis, ut BB. sat omnium possibilium minima. itaque
inque B P per calculum investigetur. Dantur puncta A et B ideoque recti
AB. latuo et ratio li terum hiansuli AMd vel dMB datur et recta 6
Cq, Gd, de E ete cunctigne retur lap, edeoque prr id Z datur
daturet summa rectarum CB, et BE demque datur pontis gloti ad pondus E
Asumatur jam BH BM tunquam vel AM lonquum da esset data
uinc duetuo D M, AC MB, DB. advoque ob datum dG, DC, darentur BG, BC,
eoadeoque et GL, CH, et βH, et adeoque BL, BH datur mtud et CB,
adeoque et CB+ BH, unde si anteris CB+ BE dat. restabit BE, datur ergo
et EL; cuuque certa portio EP, quae addita ipsa ipsi BE, dat B P, quae facetndu
omnium possibilium maxima. H ealen Hoec jam data calculo ex equamum
AB a BR, b AA. _ C = amb d, d. CG, D, Gd, d- g- e
 CB+ BE = e C glib.  C ad pondus E sit n ad n
AM y. DM  a yb: a Ad. yc: a MB ybb: aa Dβ, ybe: aa
et (19 = ybc: a a + d.g et GL - ybe:aa + d - g a:C et LB - 3 bciaa 1d. g b. C
et BC = ybc: aa + d et CH = ybe: aa + d a :C et HB3 = 9bc: au+ d ob: c
HM: cD: b: C fe. HM, db: C et AH, y = dbis
1 (ut sialipa si estrecta si, ubi
du
+ 2ybd: c + dd ac. cC et BH = yy - 2ya + aa fiet CB = yy bbia a +1 4 2y6di c- a
sedieca
+ 2a dd cc 1 unde aufere B, auferendo (P +B1 n siet C
P- fyy 6b: aa  + 2y bd. c- a + ac dd: 0C 1 + y- a - e  CH
et CB + BH
pore et EH = cB + BH = CB- B2, . yb. a + da:  + y - ob: c- a + y - db: c - a = e
HL : HM :: Cs seu g: Cd seu d ergo HL = 2b:C g: d = bg: C et EL = EH + HL, =EH + bg. C
jam Ep: EL :: m: mAn. sit EP = EH + bg: C m: m+n et BE = e- cB et
BP= BEFEP = e - CB + EH + bg:C mim tn = C = CB+ CB- CFBH + bg: C m: m +B
Ergo BD =  e - cB n. man. + BH m: men + bgm: C. nin = Maxime
d X.C = eAx . 1. 2- dx
dn = 2vd0 ie jan dCB = sg bra 1b: a + da: C 6 +3 b: a + y - 1b. C - a dy : CB
quaerendum supcest qua sn dco sed = 9bb: a a (+ db: c)+ By = db: c = a, ody: CB et D d BH = dy
erge ete jam B0 = = d cB n: min + d BH m: min = 0 Ergo fiet dem
A
viprematur pramiAt
videndam
non cecidisse
ctra denens
nybb: aa + ny -na = n CB, seu n: m:: CB: (5bb : aa + 1 - 2 = ) B B
ergo habetur thectema memorabile n. ad m, seu pondus E ad globum C, ut CB ad B (.
et valde memorabile est, quod inhllaccert ubi sit centrum gravitatis,o
 ollisia pnt p doni seesi  o
eotam cD globis
icen
cadat
ans Cd
sustenta
hic pla
 di si
ol ie alisi t ta itat
poteraet puncta A et B
raesi
seu
cet
ione
hat ad, e rectae portum
uno
fuisset, si centrum grantatis
rectanc