Fabri, Honoré, Tractatus physicus de motu locali, 1646

Table of figures

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              <s id="N1B978">Reſp. eſt minor vis ictus inflicti à glande deorſum, quàm ſurſum vt
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              aliqui putant; </s>
              <s id="N1B97E">id autem ex duplici capite procedere; </s>
              <s id="N1B982">primum eſt, cum fe­
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              ratur glans ab igne per aliquod tempus, non eſt dubium, quin vis ignis
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              ſurſum maior ſit quàm deorſum; </s>
              <s id="N1B98A">cum ſurſum gemino quaſi impetu fera­
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              tur, deorſum verò impetu tantùm exploſionis; </s>
              <s id="N1B990">ſecundum eſt, quia cum
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              glans iam deorſum ſua ſponte deſcendat, haud dubiè ab igne minus eò
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              impelli poteſt, vt ſæpè diximus ſuprà; quidquid ſit, ſi proiiciatur deorſum
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              globus plumbeus vel arcu, vel manu, obſeruabitur maiorem ab eo ictum
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              infligi, quàm ſi ſua ſponte deſcenderet. </s>
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              <s id="N1B99E">
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              Theorema
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              69.
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              Si corpus moueatur deorſum perpendiculariter motu mixto, eo tempore que
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              motu naturali acquireret illum impetum quem habet motu violento, acquirit
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              triplum illius ſpatium
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              v.g. in figura ſuperiore ſit linea perpendiculatis
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              deorſum A E, in qua motu naturali dato tempore acquiratur AB, & ſe­
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              cundo tempore æquali BC; </s>
              <s id="N1B9BF">ſitque impetus violentus vt AC: </s>
              <s id="N1B9C3">Dico quod
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              æquali tempore prioribus acquireret AE triplum AC, quia motu ve­
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              loci vt AC acquirit CE eo tempore, quo motu veloci vt AB acquirit A
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              B, & veloci vt BC acquirit BC; </s>
              <s id="N1B9CD">nam eo tempore, quo acquirit AB acqui­
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              rit CD, & eo tempore, quo acquirit BC acquirit DE; </s>
              <s id="N1B9D3">ergo eo tempore,
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              quo acquirit AC acquirit CE; </s>
              <s id="N1B9D9">ergo ſi iungatur motus naturalis violento,
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              eo tempore, quo motu naturali acquiretur tantùm AC, motu mixto ex
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              naturali & tali violento acquiretur AE, id eſt triplum: </s>
              <s id="N1B9E1">ſi verò moueatur
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              duobus temporibus, ita vt primò acquirat AC, & altero triplum AC,
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              ſitque coniunctus impetus violentus vt AC; certè duobus temporibus
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              acquiretur motu mixto octuplum AC, ſed hæc ſunt facilia. </s>
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              <s id="N1B9ED">
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              Theorema
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              70.
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              Si corpus graue proiiciatur deorſum per medium aëra, qui reſiſtat, cum
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              tandem deſtruatur impetus violentus, vbi totus deſtructus eſt, minor eſt ictus
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              quàm eſſet. </s>
              <s id="N1BA04">ſi corpus graue ſolo impetu natur ali eò deſcendiſſet
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              ; </s>
              <s id="N1BA0B">quod demon­
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              ſtro, ſit enim ſpatium AD, quod percurrit motu mixto eo tempore, quo
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              motu naturali puro ſpatium BC idem mobile percurreret, ſitque deſtru­
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              ctus in puncto D totus impetus violentus; </s>
              <s id="N1BA15">certè remanet tantùm natu­
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              ralis acquiſitus eo tempore, quo mobile percurrit BC; </s>
              <s id="N1BA1B">ſed temporibus æ­
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              qualibus acquiruntur æqualia velocitatis momenta; </s>
              <s id="N1BA21">igitur æqualis im­
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              petus; </s>
              <s id="N1BA27">igitur in C tantùm ille impetus, qui eſſet in E vel in D; </s>
              <s id="N1BA2B">ſed dum
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              percurreret ED motu puro naturali, augetur impetus; </s>
              <s id="N1BA31">igitur maior eſſet
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              impetus in D ſub finem motus naturalis per AD, quam motus mixti per
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              eamdem AD; </s>
              <s id="N1BA39">igitur maior ictus ſub finem naturalis; igitur minus ſub fi­
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              nem violenti. </s>
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              <s id="N1BA41">
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                <emph type="italics"/>
              Theorema
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              71.
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              </s>
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            <p id="N1BA4D" type="main">
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              Hinc paradoxon egregium; </s>
              <s id="N1BA54">mobile proiectum in data diſtantia minùs ferit
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              quàm ſua ſponte demiſſum
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              ; quod neceſſariò ſequitur ex dictis. </s>
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            <p id="N1BA5D" type="main">
              <s id="N1BA5F">Obſeruabis ſcrupulum adhuc fortè hærere, cur ſcilicet impetus </s>
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