398 H. L. Smith—Queen’s Chamber in the Great Pyramid. 
mined by joining the points O and H’. The line OH’ cuts TT’ 
in W’, a corner of the niche, bisecting the angle at W’ (xix 
The breadth of the top compartment is already determined as 
25 pyramid inches, or the “sacred cubit.” 
We now place these determinations alongside the measure- — 
ments of Prof. Piazzi Smyth for comparison. 
HEIGHTS. BRE 
C. : H.L.S & Poa. ae 
Br. in Pyr. in . in. i 
ist Compartment, 66°7 66°68 61:3 61'4 
2d - 31°6 31°84 52.3 52°3 
3d - 28°7 28°8 43°3* 43° 
4th ss 29°4 28°13 34°3* $2°2 
5th . f 29°4 29°58 25°3* 25° 
The agreement is quite within the errors of measurement; 
but as these computed values depend on the assumed values of 
* : 
diagonals of the niche, O”R, W’W, IG’, and ZH’, and we ob- 
tal 
in 
The angle at O” (xx), 96° 21' upper culmination. 
The angle at W’ (xx1), 33° 30’ lower culmination. 
The angle at X (xxII), 38° 8' 46” exactly, 
being the half angle at the summit of the pyramid, and giving; 
or the angle at the base, 51° 51’ 14”. And lastly, the angle at 
Z (xxitt), 30°, latitude of the pyramid. : 
The discovery of these angles, which are also substantially 
iven by using Prof. Smyth’s numbers, was first made by me, 
and announced to Prof. Smyth before any one had suspec 
this design of the niche. It is most fortunate that the ae 
ures of Prof. Smyth, recorded in vol. ii of his “Life and Wor! 
at the Great Pyramid,” were all made, so far as the Queens 
Chamber is concerned, independent of any theory. i 
e have not by any means finished with this pec™ x 
chamber. If we suppose now a diagonal drawn rom ht 
(toward the spectator), and touching the west wall at the heig 
of the line LK’, we obtain once more the angle 51 ci 
nearly (XxXIv), and we may also notice, that the lengt 
room is a mean proportional between the height 0 ath 
and the breadth of the room. The ratio of height to orel! ‘ 
of the east wall is nearly 9:10, and the diagonal HB oy 
therefore HBD, the arris angle, 42° nearly .. BHD=48 C let 
We have alluded to the z theory of the great py Lees ing 
us see what the Queen’s Chamber gives us here, nae 
* Estimated—n ined by considering 
offsets all equal, epee Prof. Smyth, but determ Mi 
