Marci of Kronland, Johannes Marcus, De proportione motus figurarum recti linearum et circuli quadratura ex motu, 1648

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              motu, ſed motui Centri parallelo feratur:
                <expan abbr="ictusq;">ictusque</expan>
              non huius,
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              ſed vi centri accidant grauiores: verùm centrum grauitatis
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              ad ſe ipſum refertur, quatenus ex inæquali remotione à lineâ
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              hypomochlij inæqualiter ponderat. </s>
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                <expan abbr="Neq;">Neque</expan>
              enim percuſſio fit
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              per lineam verticalem ſeu hypomochlij; ſed eam, quæ duci­
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              tur à centro grauitatis per contactum, per quartum Theor. </s>
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              <s>Vnde fit ut centrum grauitatis ſe ipſo utens ad ſe mouendum,
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              ſibi præponderet in eâ ratione, in quâ eſt vectis. </s>
              <s>Cùm ergo in
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              lapſu verticali nihil occurrat centro, totum vectem grauitas
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              obtinet: in plano autem inclinato, linea verticalis ducta per
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              contactum inæqualiter hunc ſecat, pro ratione inclinationis.
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              et tum centrum grauitatis ſe ipſum veluti partitur in eam, quæ
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              mouet, & in eam quæ in Hypomochlio quieſcit partem. </s>
              <s>Opor­
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              tet enim concipere, quemadmodum ſi globus ab alio globo æ­
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              quali ſit levandus. </s>
              <s>Tum enim ſi
                <expan abbr="uterq;">uterque</expan>
              æqualiter abeſt à tru­
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              tinâ, fit æquilibrium: retractione verò unius, eam rationem
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              habet grauitas huius ad grauitatem illius, quam interualla. </s>
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              <s>Obijcies. </s>
              <s>Huic poſitioni aduerſari ea, quæ propoſ. 32. & 33
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              ſunt dicta: vbi oſtendi Impulſum eo modo augeri, quo triangu­
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              lum ſibi ſimile manens:
                <expan abbr="rationémq;">rationémque</expan>
              habere ſuorum tempo­
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              rum, in quibus fiunt, duplicatam. </s>
              <s>Quòd ſi ergo radius totus
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              FD ſit quadratum ab hypomochlio in duo quadrata CD. CF
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              diviſum, uti propoſitio illa vult; erit grauitas in DF ad gra­
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              uitatem in CD, in ratione duplicatâ eius, quam habet ſinus to­
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              tus ad ſinum complementi inclinationis. & quia motus ratio­
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              nem habent, quam impulſus, per quartam poſitionem, erit mo­
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              tus in AB ad motum in BF in ratione
                <expan abbr="quoq;">quoque</expan>
              duplicatâ. </s>
              <s>Maior
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              ergo motus BF, quàm utidem tempus
                <expan abbr="vtrumq;">vtrumque</expan>
              metiatur. </s>
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              <s>Hanc obiectionem ut diluamus. </s>
              <s>Aduerte ea, quæ in vecte li­
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              brantur, duplicem habere impulſum, ſeu grauitatem: aliam
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              quidem in ordine ad mundi centrum; aliam verò in ordine ad </s>
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