Harriot, Thomas, Mss. 6785

List of thumbnails

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221 (111) 		222
222 (111v)
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224 (112v)
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225 (113) 		226
226 (113v)
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227 (114) 		228
228 (114v)
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229 (115) 		230
230 (115v)
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          <pb file="add_6785_f190" o="190" n="379"/>
          <head xml:space="preserve" xml:lang="lat"> De
            <lb/>
          [
            <emph style="bf">Translation: </emph>
          On ]</head>
          <head xml:space="preserve" xml:lang="lat"> Ex Linea Quadrataria producta.
            <lb/>
          Consequentiones quædam
            <lb/>
          [
            <emph style="bf">Translation: </emph>
          From the production of a quadrate line,
            <lb/>
          certain marvellous ]</head>
          <p xml:lang="lat">
            <s xml:space="preserve"> * Eadem evenient si motus
              <lb/>
            BD sit in maior vel
              <lb/>
            minori
              <lb/>
            [
              <emph style="bf">Translation: </emph>
            The same hapapens if the motion of BD is in a greater or smaller ]</s>
          </p>
          <p xml:lang="lat">
            <s xml:space="preserve"> * Si ponatur BD movendi
              <lb/>
            ad situm CE in spacio unius
              <lb/>
            horæ: ac etiam eodem tempore
              <lb/>
            AB producta movendi ad
              <lb/>
            situm AK per
              <lb/>
            [
              <emph style="bf">Translation: </emph>
            If it is supposed that BD moves towards the position of CE in the space of one hour, and also in the same time that AB produced moves towards the position of AK by circulation.</s>
            <lb/>
            <s xml:space="preserve"> Haec
              <lb/>
            [
              <emph style="bf">Translation: </emph>
            These things ]</s>
          </p>
          <p xml:lang="lat">
            <s xml:space="preserve"> 1. Ex communi sectione duarum
              <lb/>
            linearum dictarum sit curva
              <lb/>
            linea infinita BFGH &c.
              <lb/>
            acta designata in termino
              <lb/>
            illius
              <lb/>
            [
              <emph style="bf">Translation: </emph>
            1. From the point of intersection of the two said lines comes the infnite curved line BFGH etc. and the path is traced out in one hour.</s>
          </p>
          <p xml:lang="lat">
            <s xml:space="preserve"> 2. Illa curva cum linea CE
              <lb/>
            non concurrebat ante terminum
              <lb/>
            horæ: et in ipse termino
              <lb/>
            concurrit: et si dicti motus
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            continuentur, ultra terminum
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            horæ non fit ulterior productio
              <lb/>
            nec
              <lb/>
            [
              <emph style="bf">Translation: </emph>
            2. The curve and the line CE do not meet before the end of one hour; and at the end they do meet; and if the said motions are continued, beyond the end of the hour there will be no further lengthening or ]</s>
          </p>
          <p xml:lang="lat">
            <s xml:space="preserve"> 3. Eodem instanti scilicet
              <lb/>
            termino horæ, AB mota et
              <lb/>
            in termino motus: tum secat
              <lb/>
            lineam CE: cum habet situ
              <lb/>
            AK scilicet parallelum ad
              <lb/>
              <lb/>
            [
              <emph style="bf">Translation: </emph>
            3. In that same instant at the end of the hour, AB is moving and at the end of its motion; then it cuts the line CE; while of course the position of AK is parallel to CE.</s>
            <s xml:space="preserve"> Ita ut re hac racionatione sequitur duas
              <lb/>
            lineas parallelas in infinite distantia
              <lb/>
            [
              <emph style="bf">Translation: </emph>
            Thus by this reasoning it follows that two parallel lines cut at an infinite ]</s>
          </p>
          <p xml:lang="lat">
            <s xml:space="preserve"> Et hoc mirandum quod
              <emph style="st">[???]</emph>
              <emph style="super">dum</emph>
            generatur illa curva terminus in acta
              <lb/>
            productionis magis ac magis distantia linea AK, et in termino horæ
              <lb/>
            habet suam maximam distantia ac etiam concursum cum AK et
              <lb/>
            [
              <emph style="bf">Translation: </emph>
            And this is marvellous, that while the end of the curve is generated, in the act of production it becomes more and more distant from the line AK, and at the end of the hour has its maximum distance and yet meets with AK and ]</s>
          </p>
        </div>
      </text>
    </echo>
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