Fabri, Honoré, Tractatus physicus de motu locali, 1646

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              Theorema
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              20.
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              Si conſtet ex retardato & accelerato, vt fit in perpendiculari ſurſum, &
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              deorſum motus mixtus, linea per quam fit eſt curua,
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              ſit enim retardatus
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              per AD, ſit acceleratus per AG, aſſumatur AB cum numero impari, putà
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              5.BC.3. CD.1. accipiatur AE.1. EF.3. ducantur parallelæ BK. CL. DI.
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              & aliæ EM. FH. GI. & per puncta AM. HI. ducatur linea curua, hæc eſt
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              linea motus mixti ex retardato & accelerato; hæc porrò non eſt Parabo­
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              la, vt conſtat, quia quadratum AE non eſt ad ad quadratum AF, vt qua­
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              dratum AB, vel EM ad quadratum FH, vel AC. </s>
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            <p id="N1AA28" type="main">
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              Scholium.
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              <s id="N1AA38">Obſeruabis in fine huius motus amplitudinem, ſeu ſinum rectum li­
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              neæ ſcilicet GI, eſſe æqualem altitudini ſeu ſinui verſo, vel ſagittæ AG; </s>
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              cùm enim motus naturaliter acceleratus in eadem proportione creſcat,
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              quod hic ſuppono, in qua retardatus decreſcit; </s>
              <s id="N1AA45">certè AG quæ eſt linea
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              accelerati eſt æqualis GI, quæ eſt linea retardati: non tamen dicendum
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              eſt lineam AI eſſe circulum, alioquin GH eſſet æqualis GI, ſed GH eſt, v.
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              g. 89. cum GI ſit radix quadr.81. eſt enim 9. licèt GM ſit æqualis GH.
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              ſed de his lineis infrà. </s>
              <s id="N1AA54">Vtrùm verò ſit aliquis motus huiuſmodi, videbi­
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              mus in ſequentibus Theorematis. </s>
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              Theorema
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              21.
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              Quando corpus proiicitur per horizontalem in aëre libero, mouetur motu
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              mixto
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              ; </s>
              <s id="N1AA75">probatur, quia ſunt duo impetus in eo corpore, ſcilicet innatus
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              deorſum, & impreſſus per horizontalem, vt patet; igitur vterque aliquid
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              præſtat ad illum motum per Ax. 1. igitur eſt motus mixtus per def. </s>
              <s id="N1AA7D">1. </s>
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              Theorema
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              22.
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              </s>
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            <p id="N1AA8F" type="main">
              <s id="N1AA91">
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              Ille motus non eſt mixtus ex vtroque æquabili.
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              <s id="N1AA98"> Demonſtro; motus mixtus
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              ex vtroque æquabili eſt rectus per Th.1.& 4. ſed hic motus proiecti per
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              horizontalem non eſt rectus per hyp.1. </s>
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              Theorema
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              23.
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              </s>
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            <p id="N1AAAD" type="main">
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              Ille motus non eſt mixtus ex naturali æquabili & alio accelerato
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              ; patet,
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              quia nulla eſt cauſa, à qua violentus poſſit accelerari. </s>
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              Theorema
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              24.
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              </s>
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            <p id="N1AAC8" type="main">
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              Non est mixtus ex naturali æquabili & violento retardato
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              ; </s>
              <s id="N1AAD3">Primò, quia
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              cùm pro tata concurrant poſt integrum quadrantem vix ſpatium vnius
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              palmi confeciſſet in perpendiculari deorſum per Th.59.l.2.quod tamen
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              eſt contra experientiam.Secundò, quia ad aliquod tandem punctum per­
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              ueniretur, in quo mobile haberet tantùm impetum innatun; igitur nul­
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              lus eſſet ictus contra experientiam. </s>
              <s id="N1AAE1">Tertiò, quia naturalis impetus in­
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              tenditur in plano inclinato; </s>
              <s id="N1AAE7">igitur in motu per inclinatam, eſt enim
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              motus deorſum; igitur intenditur impetus naturalis, vt patet ex lib. 2.
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              igitur non eſt mixtus. </s>
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