Geodesy : the eastern oblique arc of the United States and osculating spheroid / by ChasASchott . rom v:\c\\ ofthe corrections to the otherdirections, as ,i;i\rn in theprecedinj; colunui. i In the adjustnuiil of net special wci.^hts werenssij^ned to the directions, asexiilaiucd ,it Uni;tli in CoastvSurve> Repot t for lS(>(. Ifwe lUduce the probable el loi of a direction from the closiuv; errors in the xum of theauL^Ksol the 40 Iriaui^les, we liud from the sum oi iIk- >t| of irror-> the mean closiiis; ciroidf a ;lc ./?* ^ -; rt ioo, hence the proUible e
Geodesy : the eastern oblique arc of the United States and osculating spheroid / by ChasASchott . rom v:\c\\ ofthe corrections to the otherdirections, as ,i;i\rn in theprecedinj; colunui. i In the adjustnuiil of net special wci.^hts werenssij^ned to the directions, asexiilaiucd ,it Uni;tli in CoastvSurve> Repot t for lS(>(. Ifwe lUduce the probable el loi of a direction from the closiuv; errors in the xum of theauL^Ksol the 40 Iriaui^les, we liud from the sum oi iIk- >t| of irror-> the mean closiiis; ciroidf a ;lc ./?* ^ -; rt ioo, hence the proUible error of a direc- > 46 tion = 0(174 \ 1 00 yo - zfco3o, On the other hand, the ^e value of the jiroliable error of obser\Mtioii oi the 11(1 directions in the net is about rt oJ4, whence the triaui^le combination error *, - v(,o3o)°—(o*24)- — ±oi7 tnearlx b and the square oi this was adtleil as a rcz/.s-Ar///to each ol the prexiously deduced squares of the olwervitiii errors. Wc then have >?- ? • . ind the weii^lu to ,ui\ directiini p The values i>f /> thus have. *Tln- hnlf l>nioktt iiiilioatfs sum »f siiiiiliir (lUiiMlitic. ilisri-ijanlinij their sirh- tlho lucaii of till .| vahu-s of ,-, .U-nvi rtiul A 1 with ihc -s thcvxlolilr i» - t v\4nml •!»• mean of tin- s valius v>f r-i lUrivnl from a siii(;U- iiua»urc (.;/>. ami sA ? with the .-v- tr{)ratiii|; (hcuiMilr i»A ii(>, or one measure with the first instniiiieiit is alxjiit et|iial in acv-nnu-y to three with the latter. 30 THE EASTERN OBLIQUE ARC. smaller range than the} would have had without the addition of the constant; stillthe maximum weight is to the minimum weight as 5 4 to i. The effect of the intro-duction of weights is small in cases like the present, a base net of great complexityand fair measures. There was no special necessitj^ for a reduction of the horizontal measures to sealevel on account of the elevation of the signals sighted. The following table gives theapprox
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Keywords: ., bookcentury1900, bookdecade1900, bookpublisherwashi, bookyear1902
