NW. Pit of he Late of he Weve At 
eer, V oa Fepsrt of = ae Wisc. pos on the 
part of his Britannic Majesty under the sixth and seventh 
Articles of the Treaty of Ghent : on his Astronomical. Ob- 
servations for we the most northwestern point of 
the Lake of the Wood: 4 
(Communicated by Prof. Renwick, for insertion in this Journal.) 
Iv order to explain the operations by which I have endea- 
voured to ascertain the most borin point of the Lake 
oft 
entitle it to the appellation the “ ae: northwestern.” In so 
doing, I hope I shall not overstep the province of the astron- ~ 
mer, who is ey itty to be qualified to ae definitions of 
terms connected with his science. If there should be a dif- 
ference of opinion on the meaning of the words “ most north- 
western,” I shall humbly offer that definition which appears 
to me to be the true one, with due deference to ihe judg: 
ment of the Honorable Board of Commissioners, in order to 
lider intel the operations which I have mmnt 
and the conclusions at which I none arrived, on thi subject. 
The most northwestern point of a Lake appears to me to 
be the point which has the following property, viz: that ifa 
loxodromic line be drawn from it, intersecting ey, 
an in the direction from southwest to northeast, at an. angle 
of forty-five, and such loxodromie line be continued, both 
ways if necessary, to its intersection with the meridian ‘of the 
extreme eastern and western points of the lake, this line shall 
touch no other water of the lake. It is wel known, that on 
reasigeinest $s projection, ee loxodromie li aight 
solution a Setatormably to the 
definition here given, baits therefore, more simple by 
projecting the lake, the most Eetahwestern point of which is 
to be ascertained, in this manner, on a plain surface. On 
aes a Balecion that point of the lake from whicha north- 
east and southwest course can be drawn, wi yuching 
or intohicthes any other point of the lake, is the most north- 
western one 5 and in order to ascertain which of two given 
points is the more northwest, it bio be sufficient to connect 
Vor. XV.—No. 1 
