Fabri, Honoré, Tractatus physicus de motu locali, 1646

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              Theorema
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              33.
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            <p id="N1ACBE" type="main">
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              Hinc ratio hypotheſeos primæ,
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              cùm enim conſtet hic motus ex accelera­
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              to & retardato, eius linea eſt curua per Th.20. non tamen eſt Parabola,
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              vt conſtat ex eodem Th.20. Vnde reiicies Galileum, qui vult lineam mo­
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              tus proiecti per horizontalem in aëre libero eſſe Parabolam. </s>
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              Theorema
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              34.
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              </s>
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            <p id="N1ACDD" type="main">
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              In hoc motu retardatur in maiori proportione violentus quàm acceleretur
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              natur alis
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              ; </s>
              <s id="N1ACEA">probatur, non in minore, quia plùs impetus adderetur quàm de­
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              traheretur; igitur maior eſſet in fine motus quàm initio, igitur maior
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              ictus contra hyp.;. </s>
              <s id="N1ACF2">non in æquali, quia ſemper eſſet æqualis ictus con­
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              tra hyp.3.& contra Th.29. </s>
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              Theorema
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              35.
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              Hinc plùs detrahitur impetus quàm addatur,
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              quia ſcilicet detrahitur
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              pro rata, vt dicemus infrà; at verò cùm acceleretur tantùm naturalis
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              iuxta rationem motus, & motus ſit iuxta rationem plani, minùs accele­
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              ratur quàm ſi caderet mobile perpendiculariter deorſum. </s>
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              Theorema
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              36.
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            <p id="N1AD24" type="main">
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              Hinc ratio clara cur ſit minor ictus in ſine huius motus
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              ; </s>
              <s id="N1AD2F">quia ſcilicet eſt
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              minùs impetus, quia plùs detractum eſt quàm additum; </s>
              <s id="N1AD35">nec eſt quod
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              tribuant hanc retardationem medio; </s>
              <s id="N1AD3B">quippe aër non plùs reſiſtit motui
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              violento quàm naturali; </s>
              <s id="N1AD41">ſed id quod detrahitur ab aëre corpori graui, v.
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              g. pilæ plumbeæ eſt inſenſibile, vt fatentur omnes; igitur idem
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                dum</expan>
              eſt de motu violento & mixto, hinc hoc ipſum etiam fieret in vacuo. </s>
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            <p id="N1AD50" type="main">
              <s id="N1AD52">
                <emph type="center"/>
                <emph type="italics"/>
              Theorema
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              37.
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              </s>
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            <p id="N1AD5E" type="main">
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              Impetus naturalis concurrit ad hunc motum
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              ; probatur, quia alioquin
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              eſſet rectus contra hyp. </s>
              <s id="N1AD6B">3. prætereà poteſt concurrere; </s>
              <s id="N1AD6E">nec enim ſunt li­
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              neæ determinationum oppoſitæ; igitur concurrit per Th.137.l.1. </s>
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              Theorema
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              38.
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              Si impetus naturalis non concurreret ad hunc motum, proiectum moueretur
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              per lineam horizontalem rectam, vt conſtat, motu æquabili
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              ; poſito quod non
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              retardaretur in horizontali, eodem modo moueretur quo in verticali
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              ſurſum, quæ omnia conſtant ex dictis ſuprà. </s>
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              Theorema
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              39.
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              Patest vtrimque deſcribi linea curua huius motus
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              ; </s>
              <s id="N1ADAD">ſit enim mobile pro­
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              jectum ex E per horizontalem EI
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              ſcilicet velocitate, quam acquiſiuiſ­
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              ſet motu naturaliter accelerato deſcendendo ex A in E; </s>
              <s id="N1ADB9">
                <expan abbr="ſitq́ue">ſitque</expan>
              AB ſpa­
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              tium acquiſitum primo inſtanti deſcenſus; BC duplum, CD triplum, &c. </s>
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              iuxta progreſſionem arithmeticam, ſit EI æqualis EA, diuidatur que eo­
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              dem modo in 4. ſpatia vt diuiſa eſt EA; </s>
              <s id="N1ADC9">aſſumpta EO æqualis AB, ducan­
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              tur FN. GM. HL. IK. parallelæ EV; </s>
              <s id="N1ADCF">aſſumatur OP æqualis OE, & PQ,
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              quæ ſit ad OE, vt OE ad hypothenuſim ſeu planum inclinatum EN, aſ-</s>
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