3/07-th-04-cor
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| {296} COROLLARIUM | {296} COROLLARY |
| Hinc apparet, quod conversim, in proiecto ex termino d per semiparabolam db minor impetus requiritur, quam per quamcunque aliam iuxta elevationem maiorem seu minorem elevatione semiparabolae bd, quae est iuxta tangentem ad, angulum semirectum supra horizonte continentem. | (Condition Oblique-project-sym) Conversely it is evident that less momentum will be required to send a projectile from the terminal point d along the parabola bd than along any other parabola having an elevation greater or less than that of the parabola bd, for which the tangent at d makes an angle of 45° with the horizontal. |
| Quod cum ita sit, constat quod, si cum eodem impetu fiant proiectiones ex termino d iuxta diversas elevationes, maxima proiectio, seu amplitudo semiparabolae sive integrae parabolae, erit quae consequitur ad elevationem anguli semirecti; reliquae vero iuxta maiores sive minores angulos factae, minores erunt. | From which it follows that if projectiles are fired from the terminal point d, all having the same speed, but each having a different elevation, the maximum range, i. e., amplitude of the semi-parabola or of the entire parabola, will be obtained when the elevation is 45°: the other shots, fired at angles greater or less will have a shorter range. |
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