3382 H. L. Smith—Queen’s Chamber in the Great Pyramid. 
X. In the triangle vAD, R: AD:: tang. yDA: yA, 1:1025: 
12732: 130°5. yN = yA—DL=130°5 — 66°68=63'82=3 KD. 
K yN=127°64, S’K’=MN=(MA~ AN)=(AE—EM— 
AN) = (244-2—118" 353—66°68) —59'167—EO. y’K’'—S’K’ 
= y'S” = 127°64 — 59°167 = 68°473. MS’: R:: y'8": tan 
y'MS", 102°5: 1:: 68°47: 66°8; nat. tang. 33° 45’: diff. 3’. 
. AM=AE—EM=125°85, BD: pees : DH: Ho, 7775: 66°68: 
205:176°3. S’d —Hé—s' eT foe AM)=176- 3 —125° os ancl 
S’M: R:: 86: tan ng. OMS", 102°5: R:: 50°45: 492+; nat. 
tang. 26° 13’; diff. 5 
XII. K’VN” and VO! are similar, and V’ divides ON in the ratio 
KN”: 00’; ON=AO— AN=185-03—66°68=118'35. O0'= 
37°35. K'N”=102°5. 140:102°5:: 118°35: 86°6=NV. AV=NV 
oe 28(=3 HD). AV: R:: AH: tang. HVA. 153°28: 
: 102°5: 668; nat. tang. 33° 45’. 
XIN. Jos HC’. The are C’B=34° 20! (xrv) .. Chord C'B= 
2R. Sin, 34° 20'+ 2 = 69-86, C'C’= VOB? — BC? = 47 aa 
-, CH" =282°43, oti R:: HH": tang. HC’H”. 232°43 
153°75 : ‘661 nearly; ta 33° 28/,. This so nearly canals the 
angle HVA, that we seahae HVC’ a straight line. 
XIV. MC’: R:: MX": cos. OMX”, 118°85 : 1: 51°25 : °483; 
nat. cos. 64° 20’. 64° 20’—60°=4° 20. 
XV. S/H = EA-EM= 5 85, aes HS" :: AD: A'N”, 205: 
125°85 :; 108°2 : 66°42 ; 
XVI. N’L: KL::N’G: Gp, es 60°64 :: 56°85 : 31.86; diff, “02. 
XVII. Tan. GXX": G@X"::R: XX", 12732 : 60°64 :: 1: 47°63; but, 
as the line GX” is ‘12 in. nearer center of room than CH", 
‘K = 51°37: adding XX” gives XK = 99 in. . IX =one 
inch, — from center of room to X==3°5 in. OC—35=215= 
half ‘breadth. 
XVIUL IK: “KB: PT TB, 100: 57°713 :: 51°25 ; 29°58=BT; KB- 
4 
= 
XIX. AO: AH’: OFF. V'W’, 185-03 : 55°7:: 20°58: 8°. OOF 
Vw=WU, 25—8-0=16-1=half breadth. "HHO bisects angie 
at be aged this ie as shown in (xx1) is 33° 30!. 2 
: AH’: ang. AOH’, 185°03:1::55.7:°301; nat. tang: 
16° 45), 
. Dropping a perpendicular from O” upon SK, we have a right : 
angled triangle, of which the vertical side=—57°713, the hori 
zontal=28°6, = 2-018; nat. tang. 63° 39=angle at 
base .. ang. at gerd 21—lower culmination nearly. 
XXL. In like manner ~ ad > 
W .*. ang. at W'=33° 30=upper culmination. 
XXIL est 273=nat. tang. 51° 51! 14”=ang. at G, .’ 
‘oe at 
Ss eink tang. 56° 30/=—ang- 
ang. 
at X=} summit ang.—=38° 8! 46”, 
