DIY History | Transcribe | Scholarship at Iowa | Theory of the astronomical transit instrument applied to the portable transit instrument Wuerdemann no.26: a compilation from various authorities, with original observations by Harry Edward Burton, 1903 | Theory of the astronomical transit instrument applied to the portable transit instrument Wuerdemann no. 26: a compilation from various authorities, with original observations by Harry Edward Burton, 1903, Page 85

Theory of the astronomical transit instrument applied to the portable transit instrument Wuerdemann no. 26: a compilation from various authorities, with original observations by Harry Edward Burton, 1903, Page 85

We now determine c from the equation
[cc1]c + [cd1]x = [cn1] .
Solving for c we get
c = ([cn1] - [cd1]x) / ([cc1]) .
lg [cd1] = 0.45367
lg x = 9.09341
--------------
lg x [cd1] = 9.54708
x [cd1] = 0.3524
[cn1] = 2.4051
--------------
[cn1] - x[cd1] = 2.0527 :
lg 2.0527 = 0.31233
lg [cc1] = 1.03879
-------------
lg c = 9.27354
c = +0.1877
We determine a from the equation
a = ([an] - [ac]c - [ad]x) / [aa] .
lg [ac] = 9.45515[repeating decimal 5]
lg c = 9.27354
-------------
lg [ac]c = 8.72869
[ac]c = 0.0535
[ad]x = 0.1819
----------
[ac]c + [ad]x = 0.2354
[an] = -1.9830
------------
[an] - [ac]c - [ad]x = -2.2184
lg [ad] = 0.16143
lg x = 9.09341
------------
lg [ad]x = 9.25984
[ad]x = 0.1819
lg -2.2184 = 0.34604n
lg [aa] = 0.33895
-------------
lg a = 0.00709n
a = -1.0165 .
We have therefore for the results of our observations, Δt = Δt[subscript]0[/subscript] + x = -29s + 0.1s = -28.9s ;
c = +0.19s and a = -1.0s .

We now determine c from the equation
[cc1]c + [cd1]x = [cn1] .
Solving for c we get
c = ([cn1] - [cd1]x) / ([cc1]) .
lg [cd1] = 0.45367
lg x = 9.09341
--------------
lg x [cd1] = 9.54708
x [cd1] = 0.3524
[cn1] = 2.4051
--------------
[cn1] - x[cd1] = 2.0527 :
lg 2.0527 = 0.31233
lg [cc1] = 1.03879
-------------
lg c = 9.27354
c = +0.1877
We determine a from the equation
a = ([an] - [ac]c - [ad]x) / [aa] .
lg [ac] = 9.45515[repeating decimal 5]
lg c = 9.27354
-------------
lg [ac]c = 8.72869
[ac]c = 0.0535
[ad]x = 0.1819
----------
[ac]c + [ad]x = 0.2354
[an] = -1.9830
------------
[an] - [ac]c - [ad]x = -2.2184
lg [ad] = 0.16143
lg x = 9.09341
------------
lg [ad]x = 9.25984
[ad]x = 0.1819
lg -2.2184 = 0.34604n
lg [aa] = 0.33895
-------------
lg a = 0.00709n
a = -1.0165 .
We have therefore for the results of our observations, Δt = Δt[subscript]0[/subscript] + x = -29s + 0.1s = -28.9s ;
c = +0.19s and a = -1.0s .