Practical And Spherical Astronomy for the Use Chiefly of Students in the Univer

Cover Practical And Spherical Astronomy for the Use Chiefly of Students in the Univer
Practical And Spherical Astronomy for the Use Chiefly of Students in the Univer
Robert Main
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= - 36309 8 '!
Note. As the method of interpolation by second differences, which is applied without explanation in the text, may not be familiar to the student, I subjoin the following explanation of it.
Let a; be a function capable of being expressed in the form x = a + It + cf.
'LONGITUDE OF WASHINGTON.
315 And let x_ v X Q and a? +1 be its values corresponding to values of t, -1, 0, and+1. Then we have 2nd diff. 2c sum of 1st differences of x for values x_ l9 x and and, differencing, we get,
... 1st diff. B-c b + c . '. 2b and 2c = second difference of x.
Hence the method in the text is obvious.
As a second example we will deduce the longitude of the Observatory at Washington, U. S. , by comparison of the observed R. A. Of moon's first limb, and ty* Cancri, on Feb. 14, 1859, with the corresponding Greenwich observations. The Washington observations are given in the Monthly Notices, Vol. XX. P. 287.
Greenwich.
E. A. Of D 1 L 7 . 28 . 55-67 i|r 2 Cancri 8. 1 . 59'83 Sl = + 76 8 '79 7 = 168 9 -02 Washington.


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