428 Proceedings of the Royal Society 
king’s chamber has been found the coffer in one 50 times its own 
content. The rest of the granite-lined chamber, of which the above 
formed part, may also be worthy of consideration. Its length and 
breadth are the same as that of the portion already considered, 
while its height is determined by that of the containing wainscots. 
But these, as we have already seen, are determined by the heights 
at which the south wall is touched, the one by the axis of the (first 
ascending passage produced through the) Grand Gfallery prolonged 
into the antechamber, and the other by a line parallel thereto 
drawn from the angle of the great step. But as it would be 
evidently giving either undue weight to use it alone, let us take 
(as the following calculation shows) the average height of the two 
—viz., (1.) 108-72 B.I. 
Taking the highest readings of the dimensions, we obtain—(2.). 
108-72 x 794 x 41*45 B.I., or 356460-4 B.I. (3.), we find therein 
19 99, &c. of the units we have seen reason to employ, or so close 
on 20 as to justify our acknowledging intention in the size. 
(1.)—H. of || axis, . . 113-47 
,, grand gallery axis produced 104-07 
2)217*5 4 
108-72 mean. 
(2.) Log. of 108*72 - 2-0363094 
794 = 1-8981765 
41-45 = 1-6165245 
356460-4 = 5-5520104 
Minus log. 17830*5 = 4-2511634 
(3.) 19-99, &c. = 1-3008470 
Granting that, we have another noteworthy connection estab¬ 
lished between the antechamber and king’s chamber, as there the 
volume of the lower course has been shown (by Professor Smyth) 
to equal 50 coffers, or 200 of our units, while here we have its tenth 
part, or 20 units equalling 5 coffers. 
It will doubtless be objected that in one instance we have used 
the highest, and the other the lowest readings of the measures. 
Just proportion teaches that the product of the means should be 
of no less value than that of the extremes. 
Let us then take the means of those two sets of numbers, whose 
extremes only we have been using heretofore, and employ them in 
