Harriot, Thomas, Mss. 6782

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              <s xml:space="preserve">[
                <emph style="bf">Commentary:</emph>
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              <s xml:space="preserve"> On this folio Harriot gives rules for finding all the parameters of an arithmetic progression given any three of them.
                <lb/>
              The three parameters supposed given are listed in the second column, headed 'data', where Harriot runs systematically through all the combinations
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              ,
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              ,
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              , and so on.
                <lb/>
              Rules for finding the two remaining quantities in each case are given in the third column, headed 'quaesita'.
                <lb/>
              For further details
                <ref id="stedall_2007"> Stedall </ref>
              . </s>
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          <head xml:space="preserve" xml:lang="lat"> Omnes casus arithmeticæ progressionis simplicis
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          primi
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          [
            <emph style="bf">Translation: </emph>
          All cases of simple arithmetic progressions of the first ]</head>
          <p xml:lang="lat">
            <s xml:space="preserve"> casus. data.
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            [
              <emph style="bf">Translation: </emph>
            case. given. ]</s>
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            . primus
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            [
              <emph style="bf">Translation: </emph>
            first ]</s>
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            .
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            [
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            last ]</s>
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            . differentia.
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            [
              <emph style="bf">Translation: </emph>
            ]</s>
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            . numeris
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            [
              <emph style="bf">Translation: </emph>
            number of ]</s>
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            .
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            [
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            ]</s>
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            <s xml:space="preserve"> 6 et 9 casus qui
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            signantur *
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            soluuntur æquationibus
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            [
              <emph style="bf">Translation: </emph>
            Cases 6 and 9 marked thus * are solved by quadratic ]</s>
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          <p xml:lang="lat">
            <s xml:space="preserve"> Ex his terminis
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            tribus datis, dantur
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            [
              <emph style="bf">Translation: </emph>
            From any three terms given, the rest may be ]</s>
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            <s xml:space="preserve"> I.
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            [
              <emph style="bf">Translation: </emph>
            I. a ]</s>
            <s xml:space="preserve"> II. quadratum
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            [
              <emph style="bf">Translation: </emph>
            II. the square of a ]</s>
            <s xml:space="preserve"> III. cubus
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            [
              <emph style="bf">Translation: </emph>
            III. the cube of a ]</s>
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