On the Use of Equivalent Numbers in the Method of Least Squares

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06— 0. 13790 — 0. 19504 + 0. 28590— 0. 21945 = — 1041. 71 + 7. 03449 + 10. 51875 + 0. 43566 + 3. 12386 = + 176. 07 + 9. 01520 — 0. 49449— 0. 72094 0:= + 100. 43 + 2. 17690— 0. 46611 = + 16. 00 III.
+ 4. 24758 Coef. Of Coef. Of Coef. Of Coef. Of Coef. Of Coef. Of II dL.
dt. Dn.
dip.
da. Di.
= — 371. 03 + 5. 97864 + 7296. 25— 0. 06706 — 2. 33932 — 0. 37876— 0. 08024 = — 112. 76 + 2048. 68+ 0. 02871 — 0. 44288 + 0. 25090 — 0. 09299 = — 1108. 40 + 7. 18029 + 11. 56325 + 0. 21715+ 3. 07926 = + 274.
...45 + 9. 07933 — 0. 50448 — 0. 43778 = + 117. 10 + 2. 22130— 0. 43492 = + 30. 76 + 5. 33957 From which are finally deduced the values of the six unknown quantities : II.
III.
di =— 3. 15 — 3. 77 — 5. 76 da =— 34. 37 — 46. 94 — 53. 85 dq, =— 4. 29 — 22. 41 — 33. 50 dTT =+ 166. 44 + 186. 17 + 212. 41 d y = + 0. 054335 + 0. 08963 + 0. 05115 dL = — 3. 06 — 56. 32 — 14. 58 The following are the outstanding errors of the original equations : — IN THE METHOD OF LEAST SQUARES.


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