56 The bo&rine

vations, are to each other as the Sinesof double the Angles ofElevation.

COR. VII.

Hence also, the greatest horizontalRandon is double the Impetus, and theElevation wherewith it is made is 4 5 Aor half a Right-Angle for when theFocusPointA, is in'the horizontal Line,AM— iAs, is the greatest horizon-tal Randon possible, by that Impetus;and because the Direction, or Tangent,bisects the Right-Angle FAZ, b A 7 fthe Elevation is half a Right-Angle*

COR. Vin.

Hence, any Object, whose Distanceon the Plane of the Horizon is less thanthe greatest Randon, may be hit bytwo Elevations, each of which is theComplement of the other to 90°. forwhen the Focus Points/^ andj^ are e-

qually