Bernoulli, Daniel, Hydrodynamica, sive De viribus et motibus fluidorum commentarii

Table of Notes

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            etiam de aëre rariſſimo, qui tandem pro nullo haberi poterat: </s>
            <s xml:id="echoid-s6464" xml:space="preserve">modus quo
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            inſtituta fuerunt deſcribitur in transactionibus Anglicanis: </s>
            <s xml:id="echoid-s6465" xml:space="preserve">Succeſſus autem om-
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            nium experimentorum huc redit, ut arguant fuiſſe ſinum anguli refractionis
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            differentialis ad ſinum totum ut 5 {1/8} pollices ad 2588. </s>
            <s xml:id="echoid-s6466" xml:space="preserve">pedes, cum radius inci-
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            deret ex aëre naturali in ſpatium ab aëre vacuum ſub angulo triginta duorum
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            graduum, id eſt, ut 1 ad 6060 & </s>
            <s xml:id="echoid-s6467" xml:space="preserve">iisdem poſitis, mutato angulo triginta
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            duorum graduum in ſemirectum, ut 1 ad 3787 (per §. </s>
            <s xml:id="echoid-s6468" xml:space="preserve">a). </s>
            <s xml:id="echoid-s6469" xml:space="preserve">Inde deducitur,
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            ſi radius ex aëre naturali in vacuum ſub angulo quocunque incidat, eſſe ſi-
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            num anguli incidentiæ ad ſinum anguli refractionis ut 3787 ad 3786.</s>
            <s xml:id="echoid-s6470" xml:space="preserve"/>
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            <s xml:id="echoid-s6471" xml:space="preserve">Neutonus loco hujus rationis aſſumit in tract. </s>
            <s xml:id="echoid-s6472" xml:space="preserve">ſuo optico illam, quæ eſt
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            inter 3201 & </s>
            <s xml:id="echoid-s6473" xml:space="preserve">3200, eamque deducit ex refractionum quantitate ab Aſtrono-
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            mis obſervata: </s>
            <s xml:id="echoid-s6474" xml:space="preserve">ſtatuit autem quantitatem refractionis eandem eſſe, ſi ſtrata ra-
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            dium refringentia ſint parallela, in quacunque cæterum ratione denſitates
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            medii decreſcant, ſi modo in primo & </s>
            <s xml:id="echoid-s6475" xml:space="preserve">ultimo ſtrato denſitatum differentia
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            eadem maneat (vid. </s>
            <s xml:id="echoid-s6476" xml:space="preserve">Neut. </s>
            <s xml:id="echoid-s6477" xml:space="preserve">tract. </s>
            <s xml:id="echoid-s6478" xml:space="preserve">opt. </s>
            <s xml:id="echoid-s6479" xml:space="preserve">pag. </s>
            <s xml:id="echoid-s6480" xml:space="preserve">321. </s>
            <s xml:id="echoid-s6481" xml:space="preserve">edit. </s>
            <s xml:id="echoid-s6482" xml:space="preserve">gall.)</s>
            <s xml:id="echoid-s6483" xml:space="preserve">. </s>
            <s xml:id="echoid-s6484" xml:space="preserve">De reliquo ſub di-
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            verſis circumſtantiis non poteſt non admodum eſſe variabilis refractio, quod
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            aër, quem vocamus naturalem, multis mutationibus ſit obnoxius, tum à
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            calore & </s>
            <s xml:id="echoid-s6485" xml:space="preserve">frigore, tum à preſſione atmoſphæræ, quæ ambo concurrunt
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            ad denſitatem aëris formandam, cui denſitati refractiones radiorum in va-
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            cuum incidentium ſunt proportionales cæteris paribus. </s>
            <s xml:id="echoid-s6486" xml:space="preserve">Eadem etiam mo-
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            nuit D. </s>
            <s xml:id="echoid-s6487" xml:space="preserve">Hauksbée in recenſione experimentorum, quæ modo allegavimus,
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            eamque ob rationem ſtatum aëris, qui erat, cum experimenta ſumeret, pro-
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            be definivit.</s>
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            <s xml:id="echoid-s6489" xml:space="preserve">(γ) Fuerit nunc A C (Fig. </s>
            <s xml:id="echoid-s6490" xml:space="preserve">60.) </s>
            <s xml:id="echoid-s6491" xml:space="preserve">arcus circuli terreſtris centro B ductus, in
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              <note position="left" xlink:label="note-0234-01" xlink:href="note-0234-01a" xml:space="preserve">Fig. 60.</note>
            cujus plano radius luminis A G eſt: </s>
            <s xml:id="echoid-s6492" xml:space="preserve">erit autem iſte radius incurvatus AG ejus in-
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            dolis, ut convergat ad aſymptoton, huicque aſymptotæ parallela putetur
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            AH; </s>
            <s xml:id="echoid-s6493" xml:space="preserve">ducatur horizontalis A E, rectaque A F quæ tangat in A curvam AG.
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            </s>
            <s xml:id="echoid-s6494" xml:space="preserve">Ita videmus fore angulum H A E menſuram altitudinis aſtri veræ, & </s>
            <s xml:id="echoid-s6495" xml:space="preserve">angu-
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            lum F A E menſuram altitudinis apparentis, angulumque F A H fore angu-
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            lum refractionis: </s>
            <s xml:id="echoid-s6496" xml:space="preserve">eſt autem angulus F A H idem quod ſumma omnium an-
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            gulorum refractionis differentialium, ſeu augulorum contactus qualis eſt angu-
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            lus c b o.</s>
            <s xml:id="echoid-s6497" xml:space="preserve"/>
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            <s xml:id="echoid-s6498" xml:space="preserve">Conſiderentur duo elementa curvæ ab, bo, & </s>
            <s xml:id="echoid-s6499" xml:space="preserve">per puncta a, b, o,
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            ducti inteligantur centro communi B arcus αα, ββ, γγ: </s>
            <s xml:id="echoid-s6500" xml:space="preserve">ſitque </s>
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