74 Scientific Intelligence. ____ Der, : 
“by Mr. L., viz. — (Gere Ee vas) 4 + (\/- (F- (= ere V5) 
As the above six different quantities are, if I mistake not, al/ the 
different values of which the three formule for the roots admit, it 
follows that they give al/ the cube roots of both 64 and 8, which 
were before known, and no more. It may likewise be observed, that 
z= V/ 367 784, being an equation of six dimensions, ought, 
according to the received opinion, to haye six different roots ; ; but 
it has been shown above that it has just six roots, and no more: 
this therefore agrees exactly with that opinion. 
When Mr. Lockhart speaks of binomials in their vanishing state 
having “ functions and connections widely different from those de- 
duced from binomials which are evanescent,” I am not certain 
pl I understand him perfectly: if he mean to tell us that 
s/ 4096 — 4096 is not universally equal to 
5 36 is? 36 + 4/ 784, I perfectly agree with him; for the former is 
equal to V 64 = 0, and the latter to either 7 64 or 4/ 8; the 
one being an equation of three dimensions, and the other of six. 
Neither do I clearly comprehend what he means, when he speaks 
about the roots of equations being preserved in some cases, and 
extinct in others. 
I am, Sir, your obedient servant, 
Neweastle-upon-Tyne, June 16, 1815. Henry Atkinson. 
VI. Sale of Minerals. 
We are informed that the extensive and valuable collection of 
minerals of the Rev. R. Hennah, late of St. Austell, in Cornwall, 
and which is now in the possession of his son, the Rev. R. Hennah, 
of Plymouth, consisting of nearly 2000 specimens of the most rare 
and curious productions of that county, particularly of tins, is to 
be disposed of. 
VIL. Newcastle Collieries. 
The Literary and Philosophical Society of Newcastle-upon-Tyne 
is engaged in the publication of two tracts on the means of esta- 
blishing authentic records relative to the state of the collieries in 
that neighbourhood, and to other points which promise to be both 
of local and national importance. We have no doubt that mueh 
curious and valuable information will result from the labours of this 
Society, which include nearly all the well-informed men of New- 
eastle and its neighbourhood, , 
VILL. Size of the Whale. 
In a paper on the whale by Mr. Scoresby, printed in the first 
number of the Annals of Philosophy, that Gentleman says, that he 
never heard of one longer than 70 feet ; and that out of 200, which 
