Fabri, Honoré, Tractatus physicus de motu locali, 1646

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              <s id="N1C60D">
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              certè eodem percurritur AC, igitur ſubduplo tempore
                <expan abbr="percurrẽtur">percurrentur</expan>
              AN; </s>
              <s id="N1C619">
                <lb/>
              igitur FO, quæ eſt ſubquadrupla FA; </s>
              <s id="N1C61E">igitur aſſumatur NH æqualis FO, &
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              CK æqualis FA, & ducatur curua per puncta AHK; hæc eſt ſemiparabo­
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              la, nam KI eſt ad KE vt quadratum IH ad quadratum EA. </s>
            </p>
            <p id="N1C626" type="main">
              <s id="N1C628">Vnde vides omnes inclinatas ſurſum vſque ab horizontali DB ad
                <lb/>
              verticalem DA incluſiuè eſſe Parabolas; omnes verò inclinatas ab ea­
                <lb/>
              dem horizontali DB ad perpendicularem DC incluſiuè non eſſe Para­
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              bolas, ſed propiùs accedere ad rectam, vnde aliquis ſuſpicari poſſet eſſe
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              Hyperbolas. </s>
            </p>
            <p id="N1C634" type="main">
              <s id="N1C636">
                <emph type="center"/>
                <emph type="italics"/>
              Theorema
                <emph.end type="italics"/>
              105.
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N1C642" type="main">
              <s id="N1C644">
                <emph type="italics"/>
              Si proijciatur mobile per inclinatam ſurſum vel deorſum in partem oppoſi­
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              tam directionis nauis,
                <emph.end type="italics"/>
                <emph type="italics"/>
              ſcilicet per diagonales deſcendit & aſcendit per li­
                <lb/>
              neam rectam, ſurſum vel deorſum, v.g.
                <emph.end type="italics"/>
              ſit horizontalis KL, inclinata
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              deorſum KB, mixta erit KL; </s>
              <s id="N1C659">ſit etiam inclinata KL, & horizontalis
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              CH; </s>
              <s id="N1C65F">mixta erit KH, cui addatur in eadem KF portio ſpatij, quod motu
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              naturali percurritur; idem dico de aliis inclinatis. </s>
            </p>
            <p id="N1C665" type="main">
              <s id="N1C667">Præterea ſit horizontalis VX, inclinata
                <expan abbr="ſursũ">ſursum</expan>
              VN; </s>
              <s id="N1C66F">mixta erit VY; </s>
              <s id="N1C673">ſic
                <lb/>
              ex VOVX fiet VS detracta ſcilicet portioni ſpatij, quod detrahitur à
                <lb/>
              motu naturali; ſi verò ſit vel major motus horizontalis, vel minor eo,
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              quem aſſumpſimus, non percurrit mobile lineam rectam ſed vel Para­
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              bolam ſi ſurſum proiiciatur, vel ſi deorſum aliam nouam, quam ad Hy­
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              perbolam accedere ſuprà diximus. </s>
            </p>
            <p id="N1C681" type="main">
              <s id="N1C683">Hinc certè, quod mirabile dictu eſt, ſi è puncto nauis V ſurſum per
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              inclinatam VO proiiciatur, ſtatimque poſt proiectionem ſiſtat nauis, in
                <lb/>
              ipſam nauim deſcendet mobile; </s>
              <s id="N1C68B">atque ita ex his habeo omnes motus cir­
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              culi verticalis paralleli lineæ directionis; </s>
              <s id="N1C691">quare ſupereſt vt explicemus
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              alios motus; ac primò quidem per circulum horizontalem, cuius habeo
                <lb/>
              quoque duas lineas, ſcilicet communes ſectiones horizontalis & prio­
                <lb/>
              ris verticalis, id eſt lineam directionis verſus Boream, & oppoſitam ver­
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              ſus Auſtrum. </s>
            </p>
            <p id="N1C69E" type="main">
              <s id="N1C6A0">
                <emph type="center"/>
                <emph type="italics"/>
              Theorema
                <emph.end type="italics"/>
              106.
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N1C6AC" type="main">
              <s id="N1C6AE">
                <emph type="italics"/>
              Si proijciatur mobile per horizontalem verſus Ortum è naui mobili,
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              monebitur motu mixto ex duplici horizontali, & naturali deorſum
                <emph.end type="italics"/>
              , ſit
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              enim horizontalis verſus Boream AC, & alia horizontalis AH verſus
                <lb/>
              ortum in eodem plano horizontali; </s>
              <s id="N1C6BD">certè ex vtraque fit mixta AK, quæ
                <lb/>
              ſi percurratur æquali tempore cum AC, & eius ſubdupla cum AB, AC
                <lb/>
              verò æquali tempore cum AF; </s>
              <s id="N1C6C5">quamquàm ſuppono iam eſſe perpendi­
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              cularem deorſum AB; </s>
              <s id="N1C6CB">denique cum AG ſubquadrupla AF aſſumatur
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              ED æqualis AG perpendiculariter ducta in AD, & KL æqualis AF
                <lb/>
              parallela ED, & per puncta AEL ducatur curua, hæc eſt linea motus
                <lb/>
              quæſita; </s>
              <s id="N1C6D5">voluatur autem triangulum AKL, donec ſit parallelum circulo
                <lb/>
              verticali vel alteri, ACO erit in proprio ſitu; </s>
              <s id="N1C6DB">vnde eo tempore, quo eſ­
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              ſet in DE punctum nauis A eſſet in B, & eo, quo eſſet in KL, punctum A
                <lb/>
              eſſet in C; hoc eſt ſingula puncta AK, è regione AC ductis parallelis </s>
            </p>
          </chap>
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