H. L. Smith— Queen’s Chamber in the Great Pyramid. 331 
27 x 4 
Thus, SERyTET 814169. 
Are these all coincidences? And was the niche built as a 
mere freak of ignorant, and debased idolaters ? 
Since the preceding was written, Prof. Smyth 7 our atten- 
tion to the pavement of the ante- chamber, which is e 
material, but partly limestone, partly granite, with accurate 
joints. ‘fe has not yet stated his own results to ere but doubt- 
less he has already the following, and probably m 
e pavement is a rectangle, and lengthwise, is  aniaad ex- 
actly north and south; AD being the length of the northern, 
shorter, and limestone ‘portion ; DB that of the southern, lon- 
ger, and granite portion; AA’ the breadth, and AB the whole 
length; we find 
DB 
2AD 
sel . at —92AD?. 
i=” ag=™ ° .AA’XDB=2A 
Measured by 
cory. C. Piazzi Smith. Diff. 
AA'= et eehicatvis = 41°4159 in. 41°45 in, — +034 in. 
AD =(1+72)x5= 65-0559 64-5 —56 “ 
DB =(z?4-73) x5=204:379 “ 2036 —62 “ 
AD and DB were determined by Prof. Smyth by measure- 
ing from the edge of the great step (now much Hee © ue 
successive — of the pavement, ae cannot be correct 
the measurement of AA’, which is the distance Sedisels the 
polished granite nie padre de in good condition. 
Equations. 
L OB:R:: tO tan. EBO. 102°5:1::59°17 °57727; nat. tang. 
30° nearl 
I. AE: AD::E0: 00. 944:2:102°5::59°17: 24-83; diff. “17. 
I. Bo: OE:: BC:CF. AO: HA=BO:: CF: CO. .. AO: E0:: 
BO: CO, 185-038: 5917: pa 24°8, 
IV. Sin. 30°: EO::R: BE, 5 : 59°17 ::1: 118'34=> BE= BL; 
angle EBL—90° +30° mers . BEL=30°=BLE. 
V, AS :BL::R: tan. BK’L. 205:118°353::1: 5773; nat. tang. 
VI MO= =EO, OS is common, and ang. O=90" -, ES=MS and 
ESM=120°, OSM=60° —S$M'X', EOB and BEM are similar, 
and EB=BM ; .. F-M=BO and EO=BF’. 
-FM:: sin. 30°: MX’, 1: 102°5 21°: 51°25=4 N’ 
BM and EL bisect cach other in P. In the triangle le EBM, 
a parallel to the base, bisects BE; .*. it will bisect 
-e , will pass through P. : 
VIII. LB: K’L:: BK: IK, 118°353: 205 ::57°718: 99°98; diff. 02. 
IX. IK~100—Rad. DK==127°39—1A. IK:R:: :1A: tang IDA, 
100:1::127°32:1-2732; nat. tang, 51° 511 
