C 43 H 
VII. The Latitudes and Longitudes of several Places in Den- 
mark ; calcidated from the Trigonometrical Operations. By 
Thomas Bugge, F. R. S. Regius Professor of Astronomy at 
Copenhagen. 
Read January 9, 1794. 
The geographical surveying of Denmark was begun in the 
year 1762. The foundations of geographical maps are the tri- 
gonometrical operations, or great triangles, whose bases were 
measured with deal rods. The angles of the triangles were ob- 
served with a circular instrument of 1 foot radius ; the divi- 
sions of this instrument are double, in 90 and 96 degrees. 
With this instrument the angles may be observed to a less 
error than 8", and the sum of all the angles in every triangle 
very seldom have had a difference of 15" from 180 degrees. 
For this reason the bases, measured at several places in Seland 
and Jutland, have very well agreed with the corresponding 
sides, computed through a long series of triangles, begun from 
the observatory at Copenhagen. I believe that a distance, 
found by those trigonometrical operations, is to be depended 
upon to jo^o o th part of the whole. I beg leave to observe, 
that the Danish astronomers and geographers, for 31 years, 
have been before hand in making use of circular instruments, 
which now begin to be of a more general use in astronomical 
and geographical observations. The royal observatory at 
Copenhagen has, since the year 1781, been adorned with a 
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