Fabri, Honoré, Tractatus physicus de motu locali, 1646

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              co ſtabit, vel ſi ſit rotatus globus in tabulato nauis mouebitur motu or­
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              bis circa centrum immobile. </s>
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            <p id="N1C546" type="main">
              <s id="N1C548">
                <emph type="center"/>
                <emph type="italics"/>
              Theorema
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              103.
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              </s>
            </p>
            <p id="N1C554" type="main">
              <s id="N1C556">
                <emph type="italics"/>
              Si proiiciatur mobile per lineam inclinatam deorſum, quæ ſit hypothenuſis
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              trianguli orthogonij, cuius baſis ſit horizontalis & perpendiculum ſpatium,
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              quod percurritur motu naturali æquali tempore, idque in naui mobili
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              in eam
                <expan abbr="partẽ">partem</expan>
              , verſus quam mouetur nauis, erit motus mixtus ex naturali
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              accelerato & inclinato mixto ex horizontali & alio inclinato ſit enim
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              horizontalis AD, perpendicularis AMK, ſit AM ſpatium quod percurri­
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              tur in perpendiculari motu purè naturali, eo tempore, quo percurritur
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              AC ſubdupla AD, ſitque AM ſubdupla AC, & ſecundo tempore æquali
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              percurratur in horizontali CD, & in perpendiculari MK tripla AM; </s>
              <s id="N1C572">
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              erit motus mixtus per lineam parabolicam ANH; </s>
              <s id="N1C577">nam ſuppono hori­
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              zontalem æquabilem, cùm parùm ab eo abſit, vt ſupradictum eſt; præſer­
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              tim cum ſenſibiliter hæc linea ſit parabolica. </s>
            </p>
            <p id="N1C57F" type="main">
              <s id="N1C581">Iam verò in eadem naui proiiciatur mobile per inclinatam AP, quæ
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              ſit diagonalis quadrati AP, & impetus perinclinatam AP ſit ad impetum
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              per horizontalem AC, vt AP ad AC; </s>
              <s id="N1C589">ducatur LPF parallela MN, & CF
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              parallela AP; </s>
              <s id="N1C58F">denique diagonalis AF: </s>
              <s id="N1C593">haud dubiè ML eſt æqualis AM, vt
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              patet; </s>
              <s id="N1C599">& ſi motus eſſet tantum mixtus ex AC & AP fieret per diagona­
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              lem AF, quam mobile eodem tempore percurreret quo vel AC vel AP; </s>
              <s id="N1C59F">
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              igitur ſi dum percurrit AF percurrit AM, motu naturali, certè dum per­
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              currit AN ſubdupla AF, percurret tantùm ſubquadruplam AM; </s>
              <s id="N1C5A6">aſſuma­
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              tur ergo NO æqualis AS, & FG æqualis AM;
                <expan abbr="ducaturq;">ducaturque</expan>
              curua AOG, hæc
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              eſt linea quęſita. </s>
            </p>
            <p id="N1C5B2" type="main">
              <s id="N1C5B4">Itaque idem dicendum eſt de his inclinatis, quod de aliis ſuprà di­
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              ctum eſt Th.72. niſi quod accipitur inclinata mixta ex horizontali & da­
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              ta inclinata, v.g. ANF ex AC & AP; </s>
              <s id="N1C5BE">hæc autem linea non eſt Parabolica,
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              quia quadratum MN, vel VO eſt ad quadratum RG vt 1.ad 4.at verò ſa­
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              gitta AV eſt ad ſagittam AP, vt 5.ad 12.porrò hæc linea ſecat Parabolam
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              vt patet; ſi verò accipiatur inclinatata AI, mixta inclinata erit AH igitur
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              aſſumatur HX æqualis AM, & PZ æqualis AS ducetur linea huius mo­
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              tus per AZX. quænam verò ſint hç lineæ, dicemus aliàs Tomo ſequenti. </s>
            </p>
            <p id="N1C5CC" type="main">
              <s id="N1C5CE">
                <emph type="center"/>
                <emph type="italics"/>
              Theorema
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              104.
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              </s>
            </p>
            <p id="N1C5DA" type="main">
              <s id="N1C5DC">
                <emph type="italics"/>
              Si proiiciatur per inclinatam ſurſum in eam partem, in quam mouetur nauis,
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              erit etiam mixtus ex naturali, & inclinato ex horizontali, & data inclinata
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              ;
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              vnde idem prorſus
                <expan abbr="dicẽduin">dicendum</expan>
              eſt de mixta inclinata, quod de ſimplici in­
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              clinata, de qua multa ſuprà dicta ſunt à Th.47. ſuppoſito tamen motu na­
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              turali accelerato, ad quem proximè accedit propter mutationem perpe­
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              tuam lineæ. </s>
              <s id="N1C5F3">ſit enim inclinata ſurſum AB, quæ percurratur motu
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              æquabili eo tempore, quo horizontalis AE, vel quo motu naturali LA; </s>
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              diuidatur AE bifariam in D; </s>
              <s id="N1C5FE">ducatur DG, tùm DC, AC, hæc eſt linea mo­
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              tus mixti ex inclinata AG, & horizontali AD; </s>
              <s id="N1C604">ſequitur deinde Parabola; </s>
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              nam ſi eo tempore quo percurritur AD, percurritur AG, & LM vel FA; </s>
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