Rambaut — Shape of Earth'' s Shadow on the Moon's Disc. 55 

 (a - b) (a - e) + 2/r = 1 + terms of the second degree, 

 h(l-al' + I- W) = — — - + terms of the second degree, 



ZS 



m (a — b) = 1 + terms of the second degree, 



h (1-aV + I - cV) = + terms of the second degree, 



m (a - c) = 1 + terms of the second degree, 

 (a - b)(ad' - d)"= - — — ■— + — + terms of the second degree, 



ZS" zs" 



2h (hd' - 2ml') = 2((p + zs) ( - — r, ) + terms of the second 



degree, 



2{l-al'){l-bl') = 2 



(d> + zs)" fT 2 . ' 

 + a - (<{> + zs) 



— + terms of the 



ZS 



zs ZS 



second degree, 



2nt = 2 + terms of the second degree, 



I, i \2 2 



(a - c) {ad' - d ) = - ., + — + terms of the second degree, 



ZS ZS 



((f) + Zsf <T~ . . 



+ a - [(p + zs) 



zs zs 



— + terms of the 

 zs 



2{l - al')(l - el') =2 



second degree, 



h(ld'- I'd) = {p + zs) (—2 - - ,, ) + terms of the second 

 degree, 



+ terms of the second degree, 

 m{ad f - d) = - — — 'P- + — + terms of the second degree. 



ZS" zs" 



(ad' - d)°~ = [$■ — — -%\ + terms of the second degree. 

 ( zr zs") 



+ terms of the second degree. 



SCIEN. PROC. R.D.S. — VOL. VI., PT. II. *" 



