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Note: Previous To R.A. 19^[[h]] 35^[[m]] (q. v.) The log [[Mu]]+ tang z is taken out with argument ([[zeta]] + mean refraction) after that R.A. the argument is the approx. observed zenith distance corrected for index error. For all cases previous, to RA 19^[[h]] 35^[[m]] where [[x?]]>75[[symbol-degree symbol]], the conection to reduce the mean refraction to the observed refraction has been allowed for. 
S.W.

Reduction of Circle Readings To Horizontal Wire Formula

Reduction = 15 Cas. [[symbol - integration]] tang. i(Tm - Ts)
in which

Tm = Mean of R.A. wires
Ts = mean of Decl. wires
i = Inclination of Decl. wire

Let    C= 15 tang i
Constants

[[table]]
|Dates| Log C.| i|   |
|---|---|---|---|
|1870 Nov. 10 to Mar 26|.08794|4 40|   |
|1871 Apr. 26 to May 18|.08794^[[n]]|4[[symbol = degree symbol ]] 40'|Spider lines|
|May 18 to June 2|.12953|5 08|   |
|June 2 to June 7|.11949|5 01|   |
|June 7 to June 19|.10625|4 52|Glass lines|
|June 19 to July 19|.14073|5 16|   |
|July 19 to Oct. 23|.12669|5 06|   |
|1871-72 Oct. 23 to Jan. 25|.12669|5 06|   |
|1872 Jan. 25 to May 29|.11804|5 00|   |
[[/table]]

Find a change of 10'in i and 10 I in(Tm-T[[?]]) the reduction will be changed as follows
0^[[symbol-degree symbol]] 0.44 X 1.00 = 0.44"
10[[symbol-degree symbol]] 0.44 X .94 = .41
40[[symbol-degree symbol]] 0.44 X .77 = .35
50[[symbol-degree symbol]] 0.44 X .64 = .28
60[[symbol-degree symbol]] 0.44 X .50 = .22
70[[symbol-degree symbol]] 0.44 X .34 = .15
80[[symbol-degree symbol]] 0.44 X .17 = .07

Transcription Notes:
PLEASE STOP SUBMITTING FOR REVIEW UNTIL THE PAGE IS COMPLETE ***If not complete, Hit Save, NOT Complete!! ---------- Reopened for Editing 2023-12-06 08:13:31 ---------- Reopened for Editing 2023-12-06 18:20:06 ---------- Reopened for Editing 2023-12-07 09:20:25 ---------- Reopened for Editing 2023-12-11 05:46:52 not finished ---------- Reopened for Editing 2023-12-12 21:39:40 ^0 needs to be [[symbol - degree symbol]] last 7 lines should be a table ---------- Reopened for Editing 2023-12-13 13:02:03