DIY History | Transcribe | Scholarship at Iowa | Theory of least squares applied to the problems arising in our observatory by Arthur George Smith, 1895 | Theory of Least Squares Applied to the Problems Arising in our Observatory by Arthur George Smith, 1895, Page 71

[page]66[/page]
by substituting this value in the formula
t=(i)/(F sin 1")
in F=(i)/(t sin 1")
i=0.0377in
t=32.532[superscript][?delta?][/superscript]
sin 1"=0.00000485
t must be reduced to seconds of arc by multiplying by 15 ; the formula then becomes
F=(i)/(15t sin 1")
and substituting values in this formula we have
F=15.94in
The value of i as found above differs so slightly from 3/30 of an inch that it seems highly probable that the 0.002in difference is due to error in measurement and that the true value in the one designed by the makers was 3/80 of an inch [?or?] 0.0375in.

[page]66[/page]
by substituting this value in the formula
t=(i)/(F sin 1")
in F=(i)/(t sin 1")
i=0.0377in
t=32.532[superscript][?delta?][/superscript]
sin 1"=0.00000485
t must be reduced to seconds of arc by multiplying by 15 ; the formula then becomes
F=(i)/(15t sin 1")
and substituting values in this formula we have
F=15.94in
The value of i as found above differs so slightly from 3/30 of an inch that it seems highly probable that the 0.002in difference is due to error in measurement and that the true value in the one designed by the makers was 3/80 of an inch [?or?] 0.0375in.