not amount to four feet; a small quantity in a side of three-andtwenty miles. I shall, however, use 120557,7, because I think it the most accurate determination. No. of triangles. Names of stations. XXXV11. Broadway Beacon XXXV111. Brill Epwell XXXIX. Arbury Hill Epwell XL. Bow Brickhill Arbury Hill Observed Diff. Corley from Broadway Beacon 2,5 89 57 4,5-1,14 54 45 18.75-0,57 180 Spheri- excess. " 1,58 -1,58 Arbury Hill from 68 22 56,75 -1,21 43 16 55,5 -0,99 7,75 -1,22 68 20 2,46 -0,04 Epwell Angles corrected for calculation. Distances. 3,43 -3,43 2,29 -2,291 Corley from {Arbury Hill Bow Brickhill from{ 1 56 32 44,75 95 34 24,75 34 23 57,5 By the triangle Broadway Beacon, Epwell, Corley, (see the above) the distance from Corley to Broadway Beacon is the only distance computed; and this has been obtained through the means of two observed angles only. When the observations were made at Broadway Beacon, it was not imagined Corley could be seen; and the contrary was not known till the party arrived at the latter place. In so large a triangle, it would certainly be right to observe all the angles: but I have given the angles as they now stand, because the distance from Epwell to Corley comes out 143831 feet, which determination differs only three feet from the same distance found by the last triangle. Arbury Hill 89 57 5.5 68 22 59 43-16 54,5 68 20 6,5 Feet. 171568 83098,4 146530 117463 143827,8 146481 108058,9 It will now be expedient to compute the distance from Bow Brickhill to Brill, by means of another set of triangles. And it was for the express purpose of verifying this distance found by the last triangle, that Scutchamfly Barrow, in Berkshire, and the station above Wendover, were chosen. The base on which these triangles are to rest, is the distance between Nuffield and White Horse Hill, viz. 120557,7 feet. XLVI. Kinsworth Bow Brickhill XLVII Wendover Quainton { 1,58 -0,07 { Wendover Quainton from { According to the first determination, the distance from Bow Brickhill to Brill is 108058,9 feet, and by the last, 108855 feet. There is, therefore, a difference of 4 feet nearly; a quantity which must be deemed inconsiderable; hence, 108056,9 feet may be taken for the true distance. Wendover Angles corrected for calculation. Distances. 0,55 -2,55 " 23 23 57,25 48 30 40,5 108 5 22,25 Brill 80 II 8,5 57 25 0,75 Brill Bow Brickhill 62 55 38,5 88 41 59,25 28 22 22,25 Feet. 33 26 49 94 58 38 73940,3 39200,2 192400,7 108055 121322,5 57668 40908 58146,4 XLIX. Bow Brickhill Kinsworth Quainton L. Angles observed. • 38 180 O 1,251 Quainton from { 85 952,75 52 17 56,75 Diff. 42 10 36,75 82 50 30,5 54 38 53 " 180 O Spheri cal excess. 0,25 ་ Error. In the above triangle, I have computed the distances of Wendover and Bow Brickhill from Quainton with 92400,7 feet, the side Wendover and Bow Brickhill, as determined in a former triangle. 0,83 +0,42 Angles corrected Wendover 0 " "1 38 51 40,75 Lillyhoe from { Quainton from Therefore, 67490 may be considered as nearly the true distance, in feet, between Quainton and Bow Brickhill. Distances. Kinsworth Feet. 58146,9 67491,3 84997 167490,3 47278,7 69867 As the stations Lidlington, Trusler Hill, together with Crouch Hill, Cumner Hill, and Whiteham Hill, have been used for purposes of greater importance than secondary ones have been generally applied to, I shall insert the triangles formed by their intersections in this article. |