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Harriot calculates the ranges of shots at 7°30', 22°30', and 37°30' elevation
in the same manner as in his notes on
<ref target="http://echo.mpiwg-berlin.mpg.de/content/scientific_revolution/harriot/maps/8.1.2_Ranges.pt">the calculation of ranges and the search for the projection angle of maximum range</ref>
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The purpose is the comparison of the ranges resulting from the inclined-plane
conception of projectile motion with the empirical ranges found in