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 79

[page]74[/page]
by which the movable lacks of coincidence with the fixed wire is termed the [underlined]index error[/underlined] and is from its nature a constant.
Every observation made has, then, entering into it this constant index error: then each of a series of observed intervals taken as above described gives one observation equation for the determination both of the index error and the value of a revolution of the screw. The general form for these equations will be
Ar + z = i ; where A is a constant and expresses the number of revolutions of the screw entering the observed interval, r the value in arc

[page]74[/page]
by which the movable lacks of coincidence with the fixed wire is termed the [underlined]index error[/underlined] and is from its nature a constant.
Every observation made has, then, entering into it this constant index error: then each of a series of observed intervals taken as above described gives one observation equation for the determination both of the index error and the value of a revolution of the screw. The general form for these equations will be
Ar + z = i ; where A is a constant and expresses the number of revolutions of the screw entering the observed interval, r the value in arc