Huygens, Christiaan, Christiani Hugenii opera varia; Bd. 1: Opera mechanica

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          <pb o="41" file="0067" n="68" rhead="HOROLOG. OSCILLATOR."/>
          <p>
            <s xml:id="echoid-s935" xml:space="preserve">Licebit autem aliter quoque, per inventa puncta, cy-
              <lb/>
              <note position="right" xlink:label="note-0067-01" xlink:href="note-0067-01a" xml:space="preserve">
                <emph style="sc">Descri-</emph>
                <lb/>
                <emph style="sc">PTIO</emph>
                <emph style="sc">Ho-</emph>
                <lb/>
                <emph style="sc">ROLOGII</emph>
              .
                <lb/>
                <emph style="sc">TAB. III.</emph>
                <lb/>
              Fig. 3.</note>
            cloidem deſignare. </s>
            <s xml:id="echoid-s936" xml:space="preserve">Deſcribatur circulus diametro A B, quæ
              <lb/>
            dimidiæ longitudini perpendiculi æqualis ſit. </s>
            <s xml:id="echoid-s937" xml:space="preserve">In cujus cir-
              <lb/>
            cumferentia ſumptis partibus æqualibus quotlibet, A C,
              <lb/>
            C D, D E, E F, A G, G H, H I, I K, jungantur
              <lb/>
            G C, H D, I E, K F, quæ erunt inter ſe parallelæ.
              <lb/>
            </s>
            <s xml:id="echoid-s938" xml:space="preserve">Deinde arcui A F ſumatur æqualis linea recta L M, eaque
              <lb/>
            in partes æquales totidem dividatur quot ſunt in arcu A F,
              <lb/>
            earumque partium uni æquales ponantur ſingulæ C N,
              <lb/>
            G O in recta C G; </s>
            <s xml:id="echoid-s939" xml:space="preserve">duabus vero partibus rectæ L M, æ-
              <lb/>
            quales fiant ſingulæ D P, H Q in recta D H. </s>
            <s xml:id="echoid-s940" xml:space="preserve">Tribus ve-
              <lb/>
            ro, ſingulæ E R, I S in recta E I; </s>
            <s xml:id="echoid-s941" xml:space="preserve">atque ita porro ſi par-
              <lb/>
            tes plures fuerint acceptæ ac tandem toti L M æquales
              <lb/>
            fiant ſingulæ F T, K V in linea extrema F K. </s>
            <s xml:id="echoid-s942" xml:space="preserve">Jam ſi
              <lb/>
            curvæ deſcribantur per puncta A O Q S V, A N P R T,
              <lb/>
            hæ rurſus quæſitæ cycloidis partes erunt, inter quas per-
              <lb/>
            pendiculum affigi oportet.</s>
            <s xml:id="echoid-s943" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s944" xml:space="preserve">Recta autem L M æqualis arcui A F invenitur, ſi pri-
              <lb/>
            mum duabus rectis, quæ ſemiſſibus arcus A F ſubtendun-
              <lb/>
            tur, æqualis ponatur X Z, totius vero arcus ſubtenſæ A F
              <lb/>
            æqualis ab eodem termino accipiatur X Y, differentiæque
              <lb/>
            Y Z triens Z Δ ad totam X Z adponatur. </s>
            <s xml:id="echoid-s945" xml:space="preserve">Nam tota X Δ
              <lb/>
            toti arcui A F tam prope æqualis erit, ut licet ſextans fue-
              <lb/>
            rit circumferentiæ, (neque major hic unquam requiritur)
              <lb/>
            non una ſexies milleſima parte ſuæ longitudinis deficiat,
              <lb/>
            uti in his, quæ de Circuli Magnitudine antehac ſcripſimus,
              <lb/>
            demonſtratum eſt.</s>
            <s xml:id="echoid-s946" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s947" xml:space="preserve">Explicitis quæ ad horologii fabricam attinent, nunc quo-
              <lb/>
            que illud declarandum eſt, quo pacto ad veram horarum
              <lb/>
            menſuram componi debeat. </s>
            <s xml:id="echoid-s948" xml:space="preserve">Ergo primum, an recte ſe ha-
              <lb/>
            beat motus ejus, hoc modo examinabitur.</s>
            <s xml:id="echoid-s949" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s950" xml:space="preserve">Oculo obſervatoris certus eligatur locus, unde ſidera de-
              <lb/>
            ſpici poſſint, ſimulque tecta parietesve vicinarum ædium,
              <lb/>
            ſic poſita, ut, cum eò appulerint ſtellæ quædam è fixarum
              <lb/>
            numero, ſimul videri deſinant. </s>
            <s xml:id="echoid-s951" xml:space="preserve">Eo loco foramen, ad pu-
              <lb/>
            pillæ magnitudinem, conſtituatur, ut ſequentibus </s>
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