Harriot, Thomas, Mss. 6789

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page |< < (39r) of 1074 > >|
7739r
[Commentary:
The page is part of Harriot’s notes on empirical ranges, see (Schemmel 2008, Section 8.4). Harriot calculates the ranges of shots at 7°30', 22°30', and 37°30' elevation in the same manner as in his notes on the calculation of ranges and the search for the projection angle of maximum range. The purpose is the comparison of the ranges resulting from the inclined-plane conception of projectile motion with the empirical ranges found in (Capobionaco 1598, 34r, v). ]
A.)
7°.30'.
[m]k ψ. 82°.30'. 766,129.7.
[γ]α. σ. 82°.30'. 759,575.4.
[…]
43,208.1. αλ.

[Commentary: The result should be 50,044. The mistake results from a transcription error on f. H-40. In his further considerations Harriot makes use of the erroneous value. ]
22°.30'.
mk ψ. 67°.30'. 261,312.5.
γα. σ. 67°.30'. 241,421.3.
[…]
107,599.0. αλ.
37°.30'.
mk ψ. 52°.30'. 164,268.0.
γα. σ. 52°.30'. 130,322.5.
[…]
102,839.3/10. αλ.

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