of equal tenth, and extending from f| )e 
equator to the axis , then draw in towards 
the centre that end of the wax quarter 
circle or curve next the axis, without 
bending any part of it, such movement 
will cause that end of the wax curve next 
the pole to extend over the axis, and con¬ 
sequently there will not remain 90 de¬ 
grees proper between the axis and equa¬ 
tor; besides which, there will be a slight 
angle at the equator where the arch of 
wax joins the quarter circle south of the 
equator. On observing the result of this 
movement, replace the waxen arch on the 
quarter circle line again ; then attempt to 
bend (and at the same time to flatten, if 
it were possible) the end next the axis in¬ 
wards towards the centre of the circle, 
I without letting it extend across the axis 
! and without allowing any part of it to 
I protrude beyond the line of the true cir¬ 
cle, and try to let the amount of bending 
(and if possible flattening) continually 
increase in quantity from the equator to 
the axis, so as gradually to increase the j 
length of the degrees ; it will soon be per¬ 
ceived that this cannot be done; lor, if 
the end next the pole be riot allowed to 
cross the axis, the curve will necessarily 
have to bulge outwards in some part, ei¬ 
ther at the equator or some place between 
; the equator and axis. If this bulge is short 
of the equator, wherever it be,the degrees 
will there be shortened ; but if the disten¬ 
tion of the arch be at the end butting on 
the equator, not only will there be then a 
slight angle with consequent short degrees, 
(the southern quarter circle being bent the 
same way,) but the degrees of longitude 
along the equator will, contrary to fact, be 
found longer than the degrees of latitude 
across the equator. As neither of these last 
enumerated circumstances are at all pre¬ 
tended to exist, it is evident that this 
movement of the arch of wax will not 
prove the principle contended for by Paul 
and R. P. but proves that that principle 
does not exist. 
Any person who will take the trouble 
to test tlie question with an arch of wax, 
as above described, although he allow the 
end to cross the axis, and hence prevent 
any part from bulging beyond the tru e 
