Harriot, Thomas, Mss. 6789

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              <s xml:space="preserve">[
                <emph style="bf">Commentary:</emph>
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              <s xml:space="preserve"> The reference to Alvarus Thomas is to his
                <emph style="it">Liber de triplici motu</emph>
                <ref id="thomas_1509" target="http://echo.mpiwg-berlin.mpg.de/ECHOdocuView?url=/mpiwg/online/permanent/library/YHKVZ7B4&tocMode=thumbs&viewMode=image&pn=78"> (Thomas </ref>
              . </s>
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          <head xml:space="preserve" xml:lang="lat"> Alvarus 73b. propositiones Elementares
            <lb/>
          de
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          [
            <emph style="bf">Translation: </emph>
          Alvarus, page 73b. Elementary propositions on ]</head>
          <p xml:lang="lat">
            <s xml:space="preserve"> gradibus æqualibus
              <lb/>
            tempus. tempus. spatium. spatium.
              <lb/>
            Maius tempus. Minoris tempus. Maius spatium. Minoris spatium.
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            Gradibus inæqualibus: sed temporibus æquales.
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            Maior gradus. Minor gradus. Maius spatium. Minoris </s>
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          <p xml:lang="lat">
            <s xml:space="preserve"> Gradibus inæqualibus et inqualibus temporibus
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            Ratio Maioris spatij
              <emph style="super">ad minus</emph>
            est ratio composita de duabus
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            rationibus. videlicet gradum; & temporum: sic:
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            Facta e maiori gradu et maiori tempore. Facta e minore gradu et minore tempore. Maius spatium. Minus </s>
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            <s xml:space="preserve"> Sed maior velocitas dependitur minori tempori
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            et ratio maioris temporis ad minus, eadem ut
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            maior velocitas ad </s>
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            <s xml:space="preserve"> et ratio velocitatum maior quam
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            ratio </s>
            <lb/>
            <s xml:space="preserve"> ratio spaciorum
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            est ratio composita
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            ut contra.
              <lb/>
            Alvarus </s>
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            <s xml:space="preserve"> et ratio temporum maior quam
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            ratio </s>
            <lb/>
            <s xml:space="preserve"> ratio spaciorum
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            est ratio composita
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            ut contra.
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            Alvarus </s>
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            <s xml:space="preserve"> propositio generalis et est corollarium de præcedentibus</s>
            <lb/>
            <s xml:space="preserve"> Si duo
              <emph style="super">mobilia</emph>
            corpora moveantur æquali velocitatis
              <emph style="super">sive</emph>
            vel inæquali
              <lb/>
            et æqualibus
              <emph style="super">sive</emph>
            vel inæqualibus temporibus: ratio spatiorum
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            pertransitorum, erit ratio composita; ex duabus rationibus
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            videlicet de ratione graduum et ratione </s>
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          <p xml:lang="lat">
            <s xml:space="preserve"> Ergo: Data ration spatiorum pertransitorum duorum motorum
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            et ratione graduum: dantur </s>
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            <s xml:space="preserve"> Vel: Data ratione spatiorum et ratione temporum; dantur gradus
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            </s>
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            <s xml:space="preserve"> Nam: cum per præcedentia ratio spatiorum
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            sit composita de duabus, de quibus una data:
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            altera nota erit per talem subductione quæ
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            compositioni contraria </s>
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