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

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              <s>
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              pulſu: Impulſus verò contrarius tollat vel impediat ſuum
                <lb/>
              contrarium in eadem ratione, totus totum; pars verò partem
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              proportionalem. </s>
              <s>Igitur ſi minor ſit impulſus gravitate, abla­
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              tâ parte æquali à reſiduâ gravitate fit deſcenſus. </s>
              <s>Quòd ſi ve­
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              rò maior ſit impulſus: erit huius exceſſus principium motûs
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              ſurſum. </s>
              <s>At verò impulſus ſubcontrarius, ſi angulum conti­
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              neat rectum, vel maiorem recto, cùm illius motus à centro ab­
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              ducat, nullum impulſum videtur gravitas determinare: Vn­
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              de motus ab exceſſu fieri dicendus:
                <expan abbr="quouſq;">quouſque</expan>
              æquatio fiat
                <expan abbr="u-triusq;">u­
                  <lb/>
                triusque</expan>
              , tum enim motu miſto ferri, & in ſpeciem arcüs ſinuari
                <lb/>
              videtur. </s>
              <s>Quod quidem ſupponere debent, qui dicunt mo­
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              tum proiectorum fieri per lineam rectam: quod nullo modo
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              eſſet, ſi motu miſto ferrentur ex gravitate
                <expan abbr="atq;">atque</expan>
              impulſu. </s>
              <s>Nam
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              cùm plaga minuat impulſum, gravitas verò eadem maneat;
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              neceſse latera motûs continuò aliam
                <expan abbr="atq;">atque</expan>
              aliam rationem ad
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              ſe habere. </s>
              <s>Cuius ratio eſſe videtur; quòd gravitas nonniſi
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              idealiter concurrat ad motum & impulſum: unde per aliam
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              ideam fortiorem ſuperari & excludi poteſt: ut ad
                <expan abbr="præſcriptũ">præſcriptum</expan>
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              huius, non illius moveatur. </s>
              <s>At verò impulſus ſubcontrarij
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              neceſſariò miſcentur,
                <expan abbr="actionêsq;">actionêsque</expan>
              producunt mixtas. </s>
              <s>Eſt hæc
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              ſententia multùm probabilis, ſed oppoſita magis placet. </s>
              <s>Nam
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              cùm motus proiectorum demum ſinuetur manifeſtè: id non­
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              niſi ex impulſu gravitatis eſſe poteſt: qui mobile ex illâ lineâ
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              rectâ ad centrum abducit. </s>
              <s>At verò hoc contingit non ſolùm
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              æquatâ gravitate, ſed etiam cùm maior eſt impulſus: Igitur in
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              reliquum impulſum, quo moveri cæpit, grauitas influit: ac
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              proinde neceſse hunc motum eſſe miſtum. </s>
              <s>Aſſumatur enim
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              altitudo ſagittæ AC, cùm iam manifeſtè incipit declinare à li­
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              neâ horizonti parallelâ: cuius motus ſinuoſus AFG
                <expan abbr="eritq;">eritque</expan>
              AG
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              maior quàm AC. </s>
              <s>Dico impulſum eſſe maiorem gravitate. </s>
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