Huygens, Christiaan, Christiani Hugenii opera varia; Bd. 2: Opera geometrica. Opera astronomica. Varia de optica

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          <p>
            <s xml:id="echoid-s9261" xml:space="preserve">
              <pb o="686" file="0426" n="445" rhead="CHRISTIANI HUGENII"/>
            pit. </s>
            <s xml:id="echoid-s9262" xml:space="preserve">Quia nempe ex rationibus intervallorum iſtorum
              <lb/>
            perfectis, quæ ſunt 4 ad 3, 5 ad 6, 4 ad 3, 2 ad 3, com-
              <lb/>
            ponitur ratio 160 ad 162, hoc eſt 80 ad 81, quæ eſt Com-
              <lb/>
            matis. </s>
            <s xml:id="echoid-s9263" xml:space="preserve">Ut proinde, ſi novies idem hic cantus repetatur,
              <lb/>
            jam propemodum tono majore, cujus ratio 8 ad 9. </s>
            <s xml:id="echoid-s9264" xml:space="preserve">de-
              <lb/>
            ſcendiſſe vocem, tonoque excidiſſe oporteat. </s>
            <s xml:id="echoid-s9265" xml:space="preserve">Hoc ve-
              <lb/>
            rò nequaquam patitur aurium ſenſus, ſed toni ab initio
              <lb/>
            ſumpti meminit, eodemque revertitur. </s>
            <s xml:id="echoid-s9266" xml:space="preserve">Itaque cogimur,
              <lb/>
            occulto quodam temperamento uti, intervallaque iſta ca-
              <lb/>
            nere imperfecta; </s>
            <s xml:id="echoid-s9267" xml:space="preserve">ex quo multo minor oritur offenſio.
              <lb/>
            </s>
            <s xml:id="echoid-s9268" xml:space="preserve">Atque hujuſmodi moderatione fere ubique cantus indi-
              <lb/>
            get; </s>
            <s xml:id="echoid-s9269" xml:space="preserve">uti colligendis rationibus, quemadmodum hic feci-
              <lb/>
            mus, facile cognoſcitur. </s>
            <s xml:id="echoid-s9270" xml:space="preserve">Et hæc quidem in gratiam ar-
              <lb/>
            tis illius ſtudioſorum nec Geometriæ rudium exponere
              <lb/>
            placuit. </s>
            <s xml:id="echoid-s9271" xml:space="preserve">Nunc eo unde diſceſſimus revertimur.</s>
            <s xml:id="echoid-s9272" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s9273" xml:space="preserve">Diximus de artibus inventiſque quibuſdam quæ nobiſ-
              <lb/>
            cum communia habere Planeticolas veriſimile ſit; </s>
            <s xml:id="echoid-s9274" xml:space="preserve">præter
              <lb/>
            quæ etiam alia exſtare illic neceſſe eſt, ſive ad uſus & </s>
            <s xml:id="echoid-s9275" xml:space="preserve">
              <lb/>
            commoda vitæ facientia ſive ad delectationem. </s>
            <s xml:id="echoid-s9276" xml:space="preserve">Hæc ve-
              <lb/>
            ro quam multa ſint, quantique facienda, ita optime ra-
              <lb/>
            tionem inibimus, ſi plurima illa, quæ apud nos reperiun-
              <lb/>
            tur, recenſere & </s>
            <s xml:id="echoid-s9277" xml:space="preserve">ob oculos ponere libuerit.</s>
            <s xml:id="echoid-s9278" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s9279" xml:space="preserve">Expoſui ſupra animantium fruticumque apud nos gene-
              <lb/>
            ra quæ plurimum inter ſe figuris differrent: </s>
            <s xml:id="echoid-s9280" xml:space="preserve">præter quæ,
              <lb/>
            minus diſſimilium, ingens copia reperiatur: </s>
            <s xml:id="echoid-s9281" xml:space="preserve">dixique nihi-
              <lb/>
            lo pauciora utriuſque generis, ut longe diverſa, in Pla-
              <lb/>
            netarum terris exſtare putandum. </s>
            <s xml:id="echoid-s9282" xml:space="preserve">Nunc etiam illud vi-
              <lb/>
            deamus, quæ utilitas quæve commoda, tum ex animali-
              <lb/>
            bus, tum ex herbis arboribuſque ad nos perveniant, ac
              <lb/>
            prorſus veriſimile exiſtimemus non minora ex iis, quæ il-
              <lb/>
            lic terrarum inveniuntur, ad incolas ipſarum redundare.</s>
            <s xml:id="echoid-s9283" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s9284" xml:space="preserve">Hic vero operæpretium eſt ut quæ ſint divitiæ noſtræ
              <lb/>
            inſpiciamus, quæ multæ magnæque ſunt. </s>
            <s xml:id="echoid-s9285" xml:space="preserve">Nam, præter-
              <lb/>
              <note position="left" xlink:label="note-0426-01" xlink:href="note-0426-01a" xml:space="preserve">Recenſentur
                <lb/>
              commoda
                <lb/>
              quæ ad nos-
                <lb/>
              perveniunt
                <lb/>
              ex animali-
                <lb/>
              bus, herbis,
                <lb/>
              @rboribus.</note>
            quam quod alimenta nobis arborum fructus herbæque ſup-
              <lb/>
            peditent; </s>
            <s xml:id="echoid-s9286" xml:space="preserve">illæ pomis, nucibus; </s>
            <s xml:id="echoid-s9287" xml:space="preserve">hæ ſeminibus, foliis, ra-
              <lb/>
            dicibus; </s>
            <s xml:id="echoid-s9288" xml:space="preserve">quodque plurimorum ex his in medicina uſus eſb;</s>
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