1 64- Mr. J. Nixon on the Trigonometrical Height 



At Colonel Mudge's station on Ingleborough, which is 197 

 feet east of the centre (axis) of the round tower erected on 

 the site of the beacon hut, the angle between the tower and 

 his signal on Whernside measures 87° 20'. The distance 

 from the station to Whernside being 22,435 feet, that between 

 the centre of the Tower and Whernside (our base line,) will 

 be 22,445 feet. The Tower, of which the base, resting on an 

 elevated flagged terrace, is on a level with the ground at the 

 station, measures 22 feet 3 inches in height, and 57 feet in 

 circumference. 



About a mile from Thornton church, on the road into 

 Kingsdale, lies, at a short distance to the left, a steep rounded 

 knoll, called Hunt's Cross. On the fence wall which crosses 

 the crest of the hill, a pile of stones, presenting a triangular 

 front towards Ingleborough, was erected and whitewashed. 

 At a station a few yards east of this signal the following 

 oblique angles were obtained. — (N. B. Of the two objects sub- 

 tending the angle, the one to the left hand is first mentioned.) 



At Hunt's Cross Station. 



(I.) Between Whernside and Ingleborough ~i o / ,/ 

 Tower, left side at base. (Multiple of > 60 4 7 



repetition 12.) ) 



(II.) Between Whernside and Ingleborough ^ 



Tower, right side at base. (Multiple > 60 7 39 



10.) j 



(III.) In the same plane the angle between Hunt's Cross 

 signal and the centre of Ingleborough Tower measured 

 165° 1' 24"; and the horizontal distance from the signal to 

 the centre of the circle, 84 feet. 



(The horizontal angle* at Hunt's Cross station, between 

 Whernside and the centre of Ingleborough Tower, will be 

 60° 12' 5", (= 60° 5' 53" + 6' 12", the correction for obli- 

 quity).) 



(IV.) Between Ingleborough Tower, left side at"! , u 

 base, and the top of the north-west pinna- > 62 57 12 

 cle of Ingleton church tower. ( Mult. 1 1 .) ) 

 Semidiameter of Ingleborough Tower —1 44 



62 55 28 

 (V.) In the same plane the angle between Hunt's Cross 



* For the zenith distances at this station consult the register of the ver- 

 tical angles; those at Ingleborough may be found from the given differences 

 of level and the distances. 



The telescope lies about 1-5 inch to the left of the vertical axis of the 

 circle, but a correction on this account would be too trivial to be re- 

 garded. 



