I? ~ 



"to-be $973&i §Tathdmsif5y=£0, the transverse ots of *n elliptic meridi- 

 an a and therefore the periphery ©F the circ&mscribing circle, or the 

 circle whose diameter is a, will be & x 3.1*15 &c.^nd if d=i — ^, then 

 |: jjt ^~= = g ^ i &^s^.X3«l^l5'&C.oflX3-14.l5^c.(i - -|: - -^- &c.) 



: «9T3812K3.1415&c.(l— — — |^-&c.) 



s=s the periphery of the elliptic meridian^ hence — —% ' ' 



as 546570© fathoms for the lengtfe of the quadrantal arc : and this 

 reduced to incites -and divided by io.oooooo will give 39.3537 English 



inches for the measure of the French metre at the temperature of 62. 



IByBorda's experiments, the equivalent to the French metre in English 

 Inches Is 39.37X3 the standard temperature of the metre being at 32, and 



that of the English at <si 9 so that the metre according to this ellipsoid, 

 falls short of that given fey the French mathematicians, near ilth of an 



J£^/£sHnch ? ©r~th.@£ a French line, and the quadrantal arc will fall 



short 2403 fathoms* pr. 10H5 mik^ in the whole circumference. 



;■■ : .: .. - ■ ' ' ' ' n ■ "'■ ■■• ■ ■■ rfoy - ' ft fl '■■'''■ ' ; - 



■.■: . -.' • <■ sill m 1 its a 



1 



.9 »fj, j , 



■ : 3 -. .. S.J ./ ' ' ' : 





I 



. 



