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The doctrine of projectiles demonstrated and apply'd to all the most useful problems in practical gunnery : to which is added, the description and use of a new mathematical instrument, together with serveral curious properties of projectiles never before publish'd / by William Starrat
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of Projectiles. 6j

e \ CO R. VIII.

Hence, if the Impetus As and De-.: pression of the Plane Y A X are given,

1 it will still be R S\ Y AX: R :: 2, AsK\ : AX, for R:S,Y AX :: AXiXY^

* and by Division, (because A X= z A J

+JX)R-S',YAX:R::iJf:AX

f,\ COR. IX.

; Hence also, its evident that if thej Distance AX {Fig. 19.) is taken lessfrj than the greatest Distance the Impe-p tus can reach, the Circles describd onA, and X y with the Radii As and XK,will intersect each other in two Points/and F, equally distant from the Point,J 'by where the Focus of the Parabolawoud be if A X was the greatest Di-(C j stance that I mpetus coud reach 5 which

j Points/and F, will be the Foci of two

is, Parabolas describd by that Impetus,{< K i each