90 Mr. Nixon on the Measurement by Trigonometry of the 



of which the natural number minus 1 is -000303 ; and the re- 

 ciprocal of the latter 330033. 



The value of x for the base B will be a! + —-, = 0-0008788, 



of which the natural number minus 1 is 002026, and the re- 

 ciprocal of the latter 49358. 

 The corrected distance will therefore be equal to 



41053 x 330033' + 4H42 x 49358 1 



= 41064-5 feet. 



330033 + 49358 



"We might now proceed to investigate what proportion of 

 the difference of 180°, and the sum of the three observed an- 

 gles of a triangle should be assigned to each angle, were not 

 the differences in the present survey, as appears from the fol- 

 lowing list, too trivial to require such nicety of correction. 



No. 1. -0' 40" 



2. -f 19 



3. -0 17 



4. -0 35 



No. 5. -2' 35" 



6. +1 18 



7. -1 37 



8. -0 12 



No. 



9. + 1' 54" 

 10. -0 6 



Mean difference 57" or 19" per angle. 



In the succeeding register of the observations, the second 

 column contains the reading from the nearest vernier; the 

 third column that from the opposite one, suppressing the de- 

 grees. The two next columns give the minutes and seconds 

 of the corresponding readings for the second set of observa- 



tions. 



At Bod Fell 



Lovely Seat 265° 5' 

 Shunnor Fell 248 46 

 Noughtberry Hill 182 42 



Berk in 

 Bow Fell 

 Pen-y-gent 

 Whernside 

 Colm 



Blea Moor 

 Ingleborough 

 Wildboar Fell 

 Cam Fell 

 Cotter Fell* 

 The Signal 



159 

 191 

 66 

 138 

 151 

 139 

 110 

 215 

 116 

 232 

 354 



11 

 1 



41 

 51 

 36 

 58 

 40 

 20 

 37 

 20 

 



At Whernside. 



Colm 

 The Calf 



241° 15' 30" 

 277 42 30 



15' 30"l 

 42 30 



* There was no signal on this hill. 



Bow 



