Intelligence and Miscellaneous Articles. 319 



For true chord AH, 



arcHA=124°48' 20"-7887 ; HCB=55° 11' 39"-2112; 



HAB=27° 35' 49"'6556 = ^HCB. 



The omitted -(8) 358979 . . in tt is l-875146000th part, only 1^- inch 



in 25,000 miles (earth's circuit) =0'''0004o in HCB. Moreover, if 



289 

 to — - of 360°= 162° 33' 45" you add 

 640 



| (109° 28' 1 6"-39 . . + 116° 33' 54"'18 . .)- 1 (138° 11' 22"«86 . . ), 



there results 124° 48' 18"*633982,— a polyhedric combination only 

 2"'15 in defect. 



November 30, 1863. 



P.S. It is a curious fact that 3'1416="7x 1*2 x 1*7 X 2*2 = pro- 

 duct of four numbers in arithmetical progression. Take a A DFE, 

 right-angled at F, DF= 2FE, and drop a J. FP on base, EP=0'2 DE. 

 Extend DE to M,N; MN=2-9ED=(2'2 + "7 = '5 + l'2+l-2) DE, 

 on which as a diameter describe a circle with two opposite ordinates 



Vr54DE, 



and 



SE=ET=\/-7x2-2: 



DQ=ER= Vl-2xl-7= V2 T 04DE. 



