Stevin, Simon, Mathematicorum hypomnematum... : T. 4: De Statica : cum appendice et additamentis, 1605

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[131.] HACTENVS RECTORVM PONDERVM GENERA DICTA SVNT; OBLI-QVORVM PROPRIETATES DEINCEPS deſcribendæ ſunt, quarum omnium genera-lem veritatem tanquam fundamentum istud theoremata complectitur. 11 THEOREMA. 19 PROPOSITIO.
[132.] DEMONSTRATIO.
[133.] 1 C*ONSECTARIUM*.
[134.] 2 C*ONSECTARIUM*.
[135.] 3 C*ONSECTARIUM*.
[136.] 4 C*ONSECTARIUM*.
[137.] 5 C*ONSECTARIUM*.
[138.] 6 C*ONSECTARIUM*.
[139.] 7 C*ONSECTARIUM*.
[140.] 8 C*ONSECTARIUM*.
[141.] 9 C*ONSECTARIUM*.
[142.] 10 C*ONSECTARIUM*.
[143.] 11 C*ONSECTARIUM*.
[144.] 12 C*ONSECTARIUM*.
[145.] 12 THE OREMA. 20 PROPOSITIO.
[146.] NOTATO
[147.] 13 THEOREMA. 21 PROPOSITIO.
[148.] DEMONSTRATIO.
[149.] 9 PROBLEMA. 22 PROPOSITIO.
[150.] PRAGMATIA.
[151.] DEMONSTRATIO.
[152.] 1 NOTA.
[153.] 2 NOTA.
[154.] 14 THE OREMA. 23 PROPOSITIO.
[155.] DEMONSTRATIO.
[156.] 15 THEOREMA. 24 PROPOSITIO.
[157.] DEMONSTRATIO.
[158.] C*ONSECTARIUM*.
[159.] 16 THEOREMA. 25 PROPOSITIO.
[160.] 1 Exemplum.
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        <div xml:id="echoid-div692" type="section" level="1" n="492">
          <head xml:id="echoid-head524" xml:space="preserve">BREVIARIVM
            <lb/>
          CHALINOTHLIPSIS.</head>
          <p style="it">
            <s xml:id="echoid-s5016" xml:space="preserve">CV *M* ab ineunte ætate P*RINCEPS* I*LLV*-
              <lb/>
            *STRISSIMVS* ἱ{πω}ικ{η\‘ν} non minus ſtudiosè,
              <lb/>
            quam aſsidue tractarit exercuerit{q́ue}, ut non ſo-
              <lb/>
            lum cum peritiſsimo{q́ue} quoque ſuper eâ ſermones
              <lb/>
            conferret: </s>
            <s xml:id="echoid-s5017" xml:space="preserve">ſed etiam, ſi quidquam literarum
              <lb/>
            monumentis à quoquam conſignatum eſſet diligentiſsimèlege-
              <lb/>
            ret, veteres iuxta & </s>
            <s xml:id="echoid-s5018" xml:space="preserve">novos. </s>
            <s xml:id="echoid-s5019" xml:space="preserve">nunquam tamen χαλινοθλίψεως
              <lb/>
            preſſuræ frenorum cauſas cognoſcere penitus, vel aſſequi po-
              <lb/>
            tuit. </s>
            <s xml:id="echoid-s5020" xml:space="preserve">quod freni partium aliquâ imminutâ, auctâ, inflexâ,
              <lb/>
            ſubitò magnæ & </s>
            <s xml:id="echoid-s5021" xml:space="preserve">incertæ mutationes in equi duct u exiſterent.
              <lb/>
            </s>
            <s xml:id="echoid-s5022" xml:space="preserve">Vt, cum ob alias, tum potiſsimum quoque banc ipſam ob cau-
              <lb/>
            ſam non parva ſtaticæ cognoſcendæ cupiditate flagraret. </s>
            <s xml:id="echoid-s5023" xml:space="preserve">ſpera-
              <lb/>
            bat enim istâ ſibi viâ ad cognitionem cauſarum planiorem
              <lb/>
            aditum fore, quæ ſpes eum baud fefellit. </s>
            <s xml:id="echoid-s5024" xml:space="preserve">ut nunc frenos fabri-
              <lb/>
            cet, non incertis (ut olim) conjecturis ſolum ductus, ſedcauſis
              <lb/>
            ante perſpectis & </s>
            <s xml:id="echoid-s5025" xml:space="preserve">cognitis. </s>
            <s xml:id="echoid-s5026" xml:space="preserve">Et quia istæ matbematicæ demon-
              <lb/>
            ſtrationis ratiocinio nituntur, banc de frenorum preſſudoctri-
              <lb/>
            nam, quam voce græca χαλινοθλί{ψι}ν dicìmus, inter mathe-
              <lb/>
            matica I*ILVST*. </s>
            <s xml:id="echoid-s5027" xml:space="preserve">P*RINCIPIS* hypomnemata referen-
              <lb/>
            dam cenſui. </s>
            <s xml:id="echoid-s5028" xml:space="preserve">Idque eò magis, ut aliibis initiis incitati ulteri{us}
              <lb/>
            banc artem promoveant explicentque.</s>
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