124 
[Sept. I, 
Gray*s Marginal Notes on Limicexis. 
zcliich you hate mterted throughout your 
tchole treatise of the “ Elements of the 
True Arithmetic Inf rdlesd’ I think, Sir, 
it is hardly possihie for you either to mis¬ 
understand the nature of tills challenge, 
cr to refuse accepting it. Tiiat you may 
not however have even the shado\y of a . 
pretence for quibble or evasion, I will, if 
possihie, express myself still more ex¬ 
plicitly ; I call upon you, Sir, to name 
that number of terms-^o w hich the above 
geries must be carried, so that the square 
of the said number shall not be equal to 
that whicli is obtained by collectii-.g into 
one sum, all the terms of the said series-; 
for instance, if you say that 20 is the 
number of terms to which the said serie^s 
must be carried, then I call upon you to 
prove that the squar e of 20, or 400, is not 
equal to the number obtained by adding 
the first 20 terms of the series into one 
sum. If you say that 30 is the nuuiber 
of term.s to which the sa.d series must be 
carried, then I call upon you to prove 
that the square of 30, or 900, is not 
equal to the number obtained by adding 
into one sum, the first SO terms of the 
said series; and in like manner for any 
other number which you may think pro¬ 
per to name as that to which if the series 
be extended, its square will not he equal 
to the terms of the said series, collected 
into one sum. I call upon you to do this, 
Sir, for tiie honour of your character as a 
mathcuiatician, for the reputation of your 
Elements of the True Arithmetic of 
Infinites;*' and for the justification of 
your frequent assertions of the errors and 
absurdities of modern mathematicians. 
But unless you can make good this call; 
unless you can fix, specify, and assign 
gome number to which if the Saul series 
1, 3, 5, 7, 9; &c, be carried, the square 
of that number shall not be equal to the 
fyegregate of the terms of the said series; 
then, Sir, I shall fearlessly tell you, that 
in the above corollary you will stand self’ 
eonticted of having made zi false asser¬ 
tion; that the conclusions of modern 
mritheinaticians^stand unimpeaclied ; and 
that you have evinced an ignorance of 
your subject, and an incapability of 
establisiiing your doctrine, which wmuld 
be unpardonable in any one, but which 
are insufferable in him who vaunts him¬ 
self on b.is superior accvcracy, vvho boasts 
h'lmsiK the vindicator of the very sci¬ 
entific accuracy of the ancientsf and who 
lias set himself up, uncalled for, as the 
public censor of modern mat.hematiciaris, 
and as the corrector of the blunders of 
Wallis and Newtouc 
With the most profound respect for 
your abilities, but with the deepest re¬ 
gret that these abilities should have been 
exerted to tlie detrimetu of the math.e- 
matical sciences, I have the hoiuiur to 
be, ' W. Saiist. 
Kor'wich, June 10, 1811. 
To the Editor of the Monthly Magazine^ 
SIR, 
I SHOULD he much obliged to any 
of your correspondents, who would 
inform me the best method of taking the 
lioney from the common basket hrves, 
without destroying the bees; the hives 
having no glasses to them. 
Your constant reader, 
Eomhard-streel, Jan. 4, 1811. W.K. 
To the Editor of the Monthly Magazine. 
SIR, 
'^T'OUR correspondent D. (vol. 31, 
i page 225.) will find iti the first 
volume of your w'ork, page 6, a satisfac¬ 
tory answer, by the late Gilbert VvT.ke- 
fie1d, to his enquiry respecting the author 
of the ode beginning 
“ Qualis per'nemorum nigra silentia.’** 
April l&ll. C. 
To the Editor of the Monthly Magazine., 
A S novelty has Its charms, permit me 
to point out one which may be 
brought forward to the literary world 
with utility. It is by giving the public, 
in your magazine, communication of the 
marginal manuscript notes which are to 
be found in most of our public libraries. 
I was lead to this thought by Iiaving in 
my possession a work intimately connect¬ 
ed at the time of its publication with the 
maritime strength of this nation. The 
book, it appears, was sent by a person in 
power, to one well versed in the subject, 
who returned it with a letter written on 
the first blank page, and numerous mar¬ 
ginal noies. As the subject was only 
tempo! ary, my book is of no value. This, 
how-ever, is not the ease witli works on 
history and sciences. 
What I would propose is, to print the 
manuscript notes with references to the 
page wliere they occur, noticing the 
edition, and giving the first word of the 
text to winch they allude, and, if possible, 
the name of the writer. Though 1 think 
w-e would act wisely to pay more atten¬ 
tion to what is said than to who says. 
ryTRACT JR.OM gray's LItE. 
“ Bur the favourite study of Gray, for 
the last two years of his life^ was natural 
history ; 
