262 Remarks on the Central Forces of Bodies 
To shine kpwer All of them am-me-fe-er 
To speak wi-e Every thing ni-fe-er 
To strike tshwa Forever da or da-da 
To take kaw He is dead gbwo 
To thank da-shing He is not dead eh gbwo ko 
To think su-su He is alive eh hi-eh kang 
To walk gni-er This is good to me en-ne hing ham 
oOo. = oh or e-bo ‘Thisis not good tome en-ne e-hi-i ha-am 
Arr. IV.—Remarks on the Central Forces of bodies revolwing 
about fixed axes ; by Josern Martiy, M. D 
Tue theory of curvilinear motion may justly be considered 
one of the most important and interesting subjects connected 
with the physical sciences. It explains the motions of the heav- 
enly bodies, and, by unfolding some of the grand phenomena of 
nature, makes them applicable to the most important and useful 
purposes of life. It has accordingly engaged the attention of the 
greatest philosophers for centuries, who have, by means of the 
most searching analyses, not only pointed out the slightest irreg- 
ularities of those bodies which compose the great planetary Sys- 
tem, but have discovered the causes of the seeming aberrations, and 
given satisfactory explanations of them. And yetit would seem 
that the most simple case of “central forces,” the rotation of a 
heavy body about a fixed axis, has been in some measure neg” 
lected, or at least, treated as a subject of too little importance, 
either in a theoretical or practical point of view, to deserve more 
than a passing notice. 
To explain the motions of the heavenly bodies it has been 
found necessary, by means of mathematical reasoning, to deter- 
mine the ratio of attraction and original impulse, or projectile 
force, and to show the effects of their separate and com ine 
operation. In this way the part that each of the three forces, 
the projectile and the central, perform in producing and pre- 
serving the motion of a planet in its orbit, is clearly defined ; 
as well as the results that would follow if either of the last 
a0uld cease to act. But the ratio of the forces which act upon 
a body made to revolve about a fixed axis, and the nature 
. and extent of their separate or combined action, have not been 
distinctly shown. In other words, it is believed that the relative 
