552 
Englifh is certainly to write Score: : 
Bukys, avoiding this errar, hardly ever 
tranfyrefled the propricty of Haglifh:. 
grammar, except is compliance with 1 the 
long-accufiomed variations of the ge- 
nuiné Scottith dialeét.- 
From the preceding: detail of the par- 
ticulars of this poct’s life, the reader 
will natirally and juftly i ee him. to have 
“been an honegt, proud, warm-hearted 
“man; of high paifions, pie found un- 
derfras ding, and a Vigorous and ex- 
eurhve™ imaginati We.wds never 
known to. defce cet ny sa og delibe- 
rate meanneis. In Du: eke e- retained 
many refp seétable friends ee vén EO the 
aitot Ate may be Hound whether he 
has not, by ‘his writings, exercifed a 
greater-pow ‘er over the minds of men, 
and. bv epnfequence, on their conduct, 
upon their happine fs ang mifery, and 
upon the general tyfem of ee than has 
Life of Burnin Maths ematical Correfpondence. 
‘of | 
yao eminent flatefmen of the prefenr 
age. The ower of the fatefinan is, 
but fhadowy, fo far as it acts UDOR €X-, 
ternals alone e: the power of the writer, 
genius fubdues the heart and the une, 
derftandinz, and having thus made the 
very {pring of a&tion its own, through 
them moulds almoft all life and nature 
at its pleafure. HKurns has not failed 
to command one remarkable fore of 
homage; fuch as ts never paid but to great 
criginal geni a crowd of. poetaiters 
farted up to jmitatre him, by writing 
rfes as he had done,. in the Scoxttfly 
Bet but, Q imitaiores ! fervum pe 
cis I To perfons to whom the Scotrfi 
dialect, and the cuftoms and manners of 
rural life in Scorls nd, have no charm, i 
fhall poffibly appeae to have {aid ‘oo 
mueh about BURN y thofe who paf- 
fionateiy admire ce i fhall, ide 
be blamed, as having faid too He 
us 
been exereifed by any half dozen of the Futley W197 EH. 
= N 
a 0 OE ATE TEMATICAL CORRESPONDENCE 

For 12¢ Menthly M, lagazae. 
PF ordes t 
~ i tthe following problem be propofed : 
$F ECE 
Problem iY’. 
Fo Gnd. the curve-linc ADB,: fuch that if 
7 
oa 
_the curve, 2 tangent DC he drawn, meeting 
€: the line CA drawn from € to -a-given point 
the axis, wilkcut the ord nate DE into two 
_ DF, FE, having a given ratio to each other. 
Let DH he drawn parallel to AB, and le t the given 
let the diftarce 
yatio of DE to EF be that of » ton 

THE ANALOGY BETWEEN THE CIRCLE 
EC 
Parallel to the ordinate DE, and from any point D 
fegment, 
AND OTHER CURVES (cosreaeineetie 
9 Gifover whether this property of De circle and ellipfts belongs to any other curve, 
Fig. 
D2) . 
BC in 


A jn 
‘ef the two points AB==a, the abicels AB==x, the ordinate DE=y, Dezadx== the differential 
: 1 
CE ay 
of x, Semcdy== the differential of 7, and <i TP a 
ivé un 
Then will BE=DH-=AB—ABR=a—w, 
: OH X de 
Cis - ee 
BP: >: 
==BH--CH eo ae hea) ? : 
ue 
gles ABC, AEF, 
te pre eS fx 
a 
s, DE is toEF, as mton; 
29 (a—x) tx 
2 
Or, anymmxyt-(ae— x) ity 
Ad because 2 the Gal trian 


{i 
en 
Bar, by ‘hypoth 
Jj: 

ee, P2wit ay 
AB is to BC, as AE to EF, that isy a2 y+ 
