C—l.v

30

Let A. B, ('. &c, In- the indeterminate factors, then the values of the corrections (x) in terms of I hese factors are ./-, = +D+E + 6-718H + I 7251 - 845 X x., = +C+D - 1137 H + 1-725 I + 2-521.1 + -292 X ./■" = + C+D + F 1137 II - 2-792 1 2792.1 + -292K ~-, = +V+D + F + -301H + -3011 + -301J ~-. = + B+C + X + -301H - 5211 + -301.1 ~ = +A+B +V - 524 H - -5241 - 521.1 x. = + A+B +F + -729 H 2173] + 2173 J x v = + A+B + 729 H - 1196] - 1790J x„ = +1! 5-291 II Ll96] x lO + B + 751 H + -752 1 x„ = + B +E - -651 H + -752 1 ~•,., = +D+E 65] II -651 I + -651 X .<-,.. +E + G •'i. + (i x,. + A i-G + 493 J x ie = +C +0 - -458.1 - 458K Substituting the values of (.'■) in the original equations we gel the following normal equations liet ween the factors : IA+3B +2F+lG+ '-'.".10 11+ 45301+ 3520J =+ 29200 7B+IC +IE+3F - 3-9560H+ -23701+ 1600J = + 11800 SC+3D +3F+IG l(i72o|| 12900] T27OJ-I 1260K -21600 SD+2E+2F + 40940H+ 30801+ 0300J+ -3900K = - 14200 IE +IG+ 5110011+ 1-82601 - 1940K.= - 2-8700 5F - -3300 11 - 1-3660] .5110.1+ -2920K = + 15700 I C + 0350.1 4580 K= - 2-0100 78-6419H+20-54851+ 10431J 6-7615 X +111672 23-52381+ 19-21 12.1 2-1930K = + 9T210 22-9852.1 i T3OSK + 67139 L-5182K = + -0784 The solution of these equations gives— A= +0-0307"; B - 0-3277": C= +0-8770": I) -0-2713"; E - + 15942; F 0-6500; G= -0-3522"; H = -0-1031": I 0-9817"; J= + 0-5397"; X = -2-0248". Whence follow— x t = + 0-2427" ./■.. = - 0-1320" ./', = + 0-7849" x, = - 0-2259" + 0-5276 .'-,., 0-6298 x. 20366 x 8 = 0-2081 x'„ + 1-7110 x' v , = - 11887 .', , +0-6346 x,., = +0-7502 x L3 = + 1-2120 r,, 0-3922 r,, 0-0554 x lO - + 12056 The. seconds of the corrected spherical angles are therefore 1 =59-20" 2= 1102* 3= 21-52" I 1121" 5 01-71 6 1208 7 10-77 8 = 09-03 9 = 11-33 in 08-81 II 06-60 12 I l's(i 13 = 39-78 I I 39-98 15 2838 10 11-91 Lengths of sides in links Links. Links. Woodside-Rimutaka .. .. 71066-92 Kaiwaewae Rimutaka .. .. 7184163 Woodside-Jury Hill .. .. 57322-00 Kaiwaewae-Jury Hill .. .. 5659114 Bidwill Rimutaka.. .. .. 8120169 Rimutaka .lurv Mill .. .. 118977-76 Bidwill-Jurv Mill .. .. .. 63506-70