Messes. Moroa^ Eott-e &, Co- 
Having ;ulq ec | a diagram to rriy favorite 
memoir, No 2, T wish it republished. I pre¬ 
sume its smallness has caused! it to be overlooked 
by many of the readers of my numbers; I am es¬ 
pecially led to think so, from having observed 
that some regard rriy new discovery as a lucky 
guess, rather than the result of minute investi¬ 
gation of causes and effects. The basis of what* 
ever credit may be awarded to me, lies within 
the compass of this memoir; for tire leading idea 
it contains, was the mainspring that led me to 
tiie first establishment of my own belief and de¬ 
cision, on the existence of concentric spheres 
and open poles. Respectfully, 
JNO. CLEVES SYMME& 
September 23d. 1819. 
Geometry—Memoir No. 2 . 
St. Louis, June 1 7 th, 1818 . 
With dividers describe a circle on a plate of 
matter of loose texture, and in the centre, add a 
very small circle: then draw a right line through 
the centre. It is evident (as matter gravitates 
mutter in proportion to quantity and distance) 
that, either half of the inner circle, being almost 
equally surrounded by matter, must be very lit¬ 
tle gravitated ceuterwise; so being suspended, 
only a rotary motion is needed to throw it com¬ 
pactly towards the outer circle. This being ad 
mitted, it follows, that half wry from the cute • 
to the inner side of this circle of matter so throw n 
out, a like rarity, suspension, or balance of gra 
vhy, should prevail, and hence a disposition to 
separate into two concentric circles occurs: — 
therefore it follows, that successive similar sub¬ 
divisions should exist, gradually lessoning i, 
force or quantity. By applying this principle 
to the earth, 1 found the necessity of hollow 
concentric spheres. A decision of schoolmen 
on these lines, shall be followed by addition; ! 
positions, further explaining my new principles 
of hollow planets and cone-. ntrJcspheres, open* 
at the poles, declared in a circular letter of tin-. 
10 th of April. 1818. 
JNO. CLEVES SAMSES. 
of Ohio, late Captain of Tnfantrj, 
