368 Proceedings of the Royal Society 
by any means so refined as they might be. The proper course, 
therefore, for both religious minded, and scientifically inclined, 
persons is, or should be, not to take to “ scoffing and deriding,” 
but to visit the Gfreat Pyramid in a calm and working philosophical 
spirit, and to remeasure more exactly all those still existing fiducial 
markings which have marvellously descended to our latter times 
from primeval ages, closed long before history began. 
With regard, next, to the Proceedings author’s termination of his 
section ; or, that many arrangements in fives are to be seen in the 
rooms of the Eoyal Society of Edinburgh, — i.e. in a modern 
building of a most confused multiplicity of parts, and made up 
in design by copyings from several foreign, and some ancient, 
architectures, — and his conclusion that the arrangements were not 
carried out there for any special purpose of symbolizing five; 
and “ that there is not the slightest ground for any belief that the 
“ apparent fineness of anything in the Great Pyramid had a different 
“ origin ; ” — I can only spare time to remark that the two cases 
are almost awfully different ; for — 
ls£. The Great Pyramid was built 4000 years ago, in the sym- 
bolic ages of the world, according to many indications in Biblical 
history, and we have no other guide for those very early times. 
2 d. The Great Pyramid’s whole mass and whole surface, — and 
those so huge as rightly to have procured it the title from all the 
nations of the world of cc the Great Pyramid,” — are arranged so as 
to make two most colossal representations of fives ; and have been 
beheld by nearly all peoples from the beginning of history; and — 
3d. Compared to the above, either in size, entireness, or publicity 
— the few fives here and there inside the very modern Royal Insti- 
tution building of Edinburgh, and in one part merely of which the 
Royal Society of Edinburgh meets and the fives are said to be 
chiefly found, — are only like the fives which any child may dis- 
cover in a modern multiplication table ; i.e., they are small both 
in themselves and in proportion to the other numbers represented, 
and not dominant over the whole structure. 
Arithmetical Means. 
When the Proceedings ’ author attacks some of my stated results 
of Pyramid measures for the reason that they have been obtained 
