Harriot, Thomas, Harriot papers, vol. VIa: Projectiles, centre of gravity, reflexion of bodies [HMC 241 VIa]

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[Commentary:
The page is part of Harriot’s notes on empirical ranges, see (Schemmel 2008, Section 8.4). The notes on this page serve the comparison of Harriot’s theoretically calculated ranges to empirical ones derived from (Bourne 1587, 27). The upper table displays Harriot’s theoretically determined ranges for the elevation angles used by Bourne (and additionally for 45°), together with the differences between some of them. The velocities of the shots are all given as 100,000. The lower table displays Bourne’s ranges scaled in such a way that Bourne’s range of a shot at 20° coincides with Harriot’s. The corresponding velocity is given as 100,000, while for the velocities for the other elevations Harriot refers to page 12 in his own pagination, i.e. f. 4. (In the second column of this table, the rates of Bourne’s ranges are given in another scaling. The bars indicating degrees above the first three numbers were drawn by mistake.) There is a graphite drawing on the lower right side of the page showing two ellipses, which is probably related to the notes on the ellipse as the line of velocities (see the notes on initial velocity). ]
11.)
The rate of randons supposing:
The velocityes at the mouth, aequall & 100,000
The vpright randon. 50,000.
The double vpright: 100,000
velocitates
[…]
The rates of Bourne. velocitates inventae pag. 12.
[Commentary: See f. 4. ]
[…]

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