Q^ ACCOUNT OF THE METEOR SEE!f IN CONNECTICUT. 



Problem 2, Fig, 2. 

 ?tQblenx 2. Suppose that in two places, s, w, in given latitudies and 



longitudes, the angular elevations of a meteor Csm, Qwm, 

 were observed, and the azimuth PSM at one of the places. 

 It 19 required to find the situation of the meteor. 



Solution, *'i f •**>£. 



This figure is to be marked like the first, then on SM 

 (continued if necessary) let fall the perpendicular AW. 

 Suppose a plane drawn through w, j>erpendicular to Cw, to 

 cut the line sm in b. Join C^ cutting SM in B, and let 

 CA continued cut sm in a. Find in the triangle FSW, the 

 angles PWS, PSW, WSM (or ASW),and the side SW as 

 in the laft problem. Then in the right-angled spheric trian- 

 gle SAW are given SW and the angle ASW, to find by 

 spherics SA, AW, and the angle SWA. The angle Csm^ or 

 its supplement, is equal to the angle C50, the angle sCa::z 

 arch SA, and the angle Casrz 180°— "Oa— aCa. 

 Sine Qas : Sine Csa : : Gs : Ca 

 Tang. Cas ' Ca 



Tang. AWB^,.. ^ ..^ (l— 7^ . Cosing AW) 

 ^ bme AW Lio 



he affection of the angle A 



the figure and the data of the p 



The affection of the angle AWB may be determined by 

 wire and the data of the problem.* ' *' .^' ' 



Sine MWB =,-T^X Cotang. Cit'm xTang.Ca^X Cos.AWjB. 



MWA-AWBfMWB. 



The sign to be made use of is easily discovered by the figure, 

 observing that the point B falls between M and S. 



Cotang. mCiv (z=Cotang. MW) —Cosine MVVA X Co- 

 tang. AW. The sum of the angles Cwm, mCwj subtracted 

 from lftO% leaves Cmvf, Then 



Sine Cmiv : Sine CtrTW :: Civ : Cm. 



The distances wm, sm, and the latitude and longitude of 

 the meteor may be found as in Problem I. 



Cofrecu6a for When the diftance of the meteor is great, the angles C^m, 



.7effa^von, 



• This angte may also be found in the following manner. Having In 

 the plane triangle aCzo, the sides Ca, Cto, and the angle «Cw; (=arch AW) 

 the angles Catt;, Civo, may be found by plane trigonometry, and AWB 



^ .,_ Cos CicaXtang Cas 



\f thT« formula. Tang AWB=; 7^—- — ^ ' 



^' 7, bine Caw 



Cwm, 



