92
SUPPLEMENTUM THEORIAE COMBINATIONIS OBSERVATIONUM
u = ooc77 m Q4 V' sin ( v(1B) — y(1Z) — o"652).sin(p( 14 )—p( 16 ) — o"s14)
sin^C 1 ) —v(°) —0"652) .sin(u( 6 ) —v( 4 ) —0"814)
Huius valor e valoribus correctis directionum y(°), yt 1 ) etc. invenitur
= 267 66 m 68
DiiFerentiatio autem illius expressionis suppeditat, si differentialia d^°\ dy^
etc. minutis secundis expressa concipiuntur,
du = 0 m 16991 (dy(°)—dyW) -f-0 m 08836 (dy ( 4 ) —dy< 6 ))
— 0 m 0 3 8 9 9 (d y( 12 > — d v№) _j_ 0 m 16 7 31 (d y ( 14 ) — d v ( 16 ))
Hinc porro invenitur
[al] = — 0,08836
[bl] = -j- 0,13092
[cl] = — 0,00260
[dl] == -j- 0,07895
[el] = -f- 0,03899
[//] = —40,1315
[y/] = -(-io,9957
[/¿] = -f- 0,13238
Hinc denique per methodos supra traditas invenitur, quatenus metrum pro
unitate dimensionum linearium accipimus,
1 = 0,08329, sive P= 12,006
unde error medius in valore lateris Falkenberg-Breithorn metuendus — 0,2886m
metris, (ubi m error medius in directionibus observatis metuendus, et quidem
in minutis secundis expressus), adeoque, si valorem ipsius m supra erutum
adoptamus,
— 0 m l209
Ceterum inspectio systematis triangulorum sponte docet, punctum Hau-
selberg omnino ex illo elidi potuisse, incolumi manente nexu inter latera
Wilsede-Wulfsode atque Falkenberg-Breithorn. Sed a bona methodo abhor
reret, supprimere idcirco observationes, quae ad punctum Hauselberg referun-