30.6 , ACCOUNT OF E:^mEIMENT^A 



..silk, from the forces at the pole and eqyiat@p,:^S; dgriy^ic from the present 



Jnyestigatioii.- . / 'yy i-:,-^^:?, erii zr. 02£^i:-;^ \^ 



Vit^aP^Tfi:^ 'decrease df the pendiiluirfr^corififtg to^ivhat precedes, is 6. 

 '^mf^S^^'ai fetch, which will give tha forces at thV eqt^atm-ind the pole as 



170 to 177 W .-■---- - 



,bs*3-£ Btjj- M 0\¥!c gkbe M^ersAomogeheous, it%g been determined, that 

 jth^r; equatorial jciiaineter ougit rto^Jbe to the pola^'iaxis^ -as 230 to 231, 

 »Hence^ the abp^^e results giye.an heterogeneous spheroid, the- diSferenCfe 

 jpf who§gi axes wli b^ th^ lesaiiea-the difference between the p^ar^i^ind 

 .lhee5,U4^o^'ij.|ifP/ri^,,Ml] prpydi^^^^^ . /v 



^^^^4^^ ^I?ibrd^i*ftfapply'tHis t-easonmg'totli^presentcase, M^ Cikiikvi 

 has giVentis the^foil6^yin^Tdrrriula^^ 



-°'^3f'73 sill :%f^-^^^IF?^P'^\%cl?f^'^'^^?^?!^^<^^ri;?^-^'T.^>:-*^ 



/ the equato-rial force,.,..,. ,,. .,-...-.(176) 



""■'" " " E the eiripticif J of the homogeneous spheroid, .... - tJj 



DflS'^lS^Iib r.i ^bJ. ;:c^3li^true eliipticity of the eartli'is figi^^ : 



a: = 2E — Ln/ . ■ 



apd h^j .expounding^ tl)is expression, we„have x ^ _JL whichproves some- 



%vliat too little ; the ratio of the earth's diameters by Colonel Mudge an^ 

 Major LAM5XoiL's.operMioiiS-beirig_J__ _ __„__.^ .._ _, 



45= I SHALL now consider theTes'ultspf~myo^n operations separately, 

 where the length at the equator wa^ s8;,987;i, arid at the pole 30.20722. 



4^. The efre6i:s of gravity, in ; one -second of time, at the pole, will 

 then be 16.1233s feet;;an4;at the equator; <"j^ni6;93:28o; which quantities 

 .are in the. ratio of 179 10*178 ; whence is deriy^d x = _L for the ellip- 

 ticity.;. which result cpme§ much nearer to the above quotf^, au^orities, 



i5)SeeBar»4e. C>«>;SceCLAifiiuTFiguredeIaTerre. C") Sec the formula^ article 52. 



