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 33

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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 33

the fact that the length remains constant or nearly so may be used to check the readings.
   It is customary to take eight readings of the level, in the following order: two direct, two reverse, two reverse, two direct. Then the inclination of the axis is given by (∑W - ∑E)/8 .
   Suppose we have the following eight readings: 

[table]
[column 1]
[blank]
Direct
Reverse
Reverse
Direct
-----------
Sums
Difference.

[column 2]
East
15
13
13.5
14
-----------
55.5
5.0

[column 3]
West
12
13
13
12.5
-----------
50.5
[blank]
[/table]

   Then the inclination of the axis is 5/8 of a division in favor of the east end. Since the value of one division was found to be about 6.07", we have as the number of seconds of arc at which the axis is inclined, 5/8 x 6.07" or 3.79".
   If we want 1/8(∑W - ∑E)6.07" expressed in

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the fact that the length remains constant or nearly so may be used to check the readings. It is customary to take eight readings of the level, in the following order: two direct, two reverse, two reverse, two direct. Then the inclination of the axis is given by (∑W - ∑E)/8 . Suppose we have the following eight readings: [table] [column 1] [blank] Direct Reverse Reverse Direct ----------- Sums Difference. [column 2] East 15 13 13.5 14 ----------- 55.5 5.0 [column 3] West 12 13 13 12.5 ----------- 50.5 [blank] [/table] Then the inclination of the axis is 5/8 of a division in favor of the east end. Since the value of one division was found to be about 6.07", we have as the number of seconds of arc at which the axis is inclined, 5/8 x 6.07" or 3.79". If we want 1/8(∑W - ∑E)6.07" expressed in