378 New Quadratic Theorem. 
not have been preserved, as well as those of laid animals. | It 
necessarily follows, that when the earth was inundated by the 
last deluge it was not occupied by the present races of men and 
beasts. Cuvier aud Jameson will perhaps endeavour to remove 
this difficulty, by saying that at the Jast deluge the ocean ehanged 
its bed; that what is now the sea was formerly the dry land; and 
consequently that the inhabitants of the antediluvian world are 
buried beneath the great deep. But I would ask, Js this Serip- 
tural? Is it not contrary to the general tenor of the Book of 
Genesis, and particularly to the description which is given of the 
garden of Eden ? 
I could point out one or two more difficulties ; but 1 think 
that those already stated are sufficient to exercise the ingenuity 
of even the ablest man that England or Scotland can produce. 
I shall certainly feel the highest gratification, if any man of 
seience will reconcile one-half, or even one-quarter, of the con- 
tradictions which I have enumerated. 
I remain, sir, your obedient servant, 
Margate, Nov. 4, 1817. “ -H. 8. Boyp. 
LXIII., New Quadratic Theorem. By Josurpy Reapr, M.D, 
Ta Mr. Tillock, 
Sir, — Sean the following method of extracting the square 
root from compound quantities meet your approval, you will 
please to insert it in your Magazine. The Editor’s remarks will 
oblige JosepH Reape, M.D, 
—— 
Rule. 
ist. Arrange the compound quantity according to the dimen 
sions of some letter, and set the root of the first term in the quo- 
tient underneath. 2dly, Multiply the roct by 2, and divide the 
second term by the product, placing the quotient under the se- 
cond term, 3dly, Multiply the last quotient by 2, and divide 
the third term by the product, placing the quotient under the 
third term. 4thly, Square the last quotient, and by the product 
divide the last term. If nothing remain, the square number is 
measured by the square root thus found. _Like signs give plus, 
unlike signs minus. 
——f 
We have inserted Dr. Reade’s rule, as it may he of use to some 
mathematicians; but it is evideiit from the consideration of any 
compound term a+b+c that is squared. The square being» 
always equal to the sum of the squares of each single sum added 
ta 
———_ 
