Nat. (1) 0·4121764 log cos _A_ 1·9999 --------- 0·4283034 Nat. = 1·000 - log sin _h_ 1·6317515 _h_ = 25° 21′ 35″·8 Whence the equation for _Polaris_ is 35·8 + 1·000 _d_φ − 0·011 _dT_ − _h_0 = 0 (1) α _Columbæ._ Watch time 3h 42m 40s·8 Watch fast 2 22 ·0 ------------ L.S.T. 3 40 18 ·8 Star’s R.A. 5 36 15 ·6 ------------ _t_ 1 55 56 ·8 = 28° 59′ 12″·0 E. of meridian. ------------ - φ = 24° 20′ 50″ log sin 1·6151769 - δ = 34° 7′ 45″·7 log sin 1·7490118 --------- - 1·3641887 - Nat. (1) 0·2313070 log cos δ 1·9179 --------- - log sin _t_ 1·6854 ------ - - φ = 24° 20′ 50″ log cos 1·9595488 1·6033 - - δ = 34° 7′ 45″·7 log cos 1·9179112 log cos _h_ 1·9560 ------ - - _t_ = 28° 59′ 12″·0 log cos 1·9418753 log sin _A_ 1·6473 --------- - - 1·8193353 log cos φ 1·9595 --------- ------ Nat. (2) 0·6596830 1·6068 Nat. (1) 0·2313070 Nat. = 0·404 --------- 0·4283760 - - log sin _h_ 1·6318196 log cos _A_ 1·9523 Nat. = 0·896 _h_ = 25° 21′ 51″·1 Whence the equation for α _Columbæ_ is 51·1 − 0·896 _d_φ + 0·404 _dT_ − _h_0 = 0 (2) ε _Canis majoris._ Watch time 4h 24m 35s·8 Watch fast 2 22 ·0 ------------ 4 22 13 ·8