Gravesande, Willem Jacob 's, Physices elementa mathematica, experimentis confirmata sive introductio ad philosophiam Newtonianam; Tom. 1

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              <pb o="(172)" file="0700" n="770" rhead="PHYSICES ELEMENTA"/>
            ſiderationem motus Telluris, circa ſæpius memoratum cen-
              <lb/>
            trum gravitatis; </s>
            <s xml:id="echoid-s18231" xml:space="preserve">ſed ponimus banc revolvere ad diſtantiam
              <lb/>
            à centro Telluris 60. </s>
            <s xml:id="echoid-s18232" xml:space="preserve">ſemid.</s>
            <s xml:id="echoid-s18233" xml:space="preserve">; quia, ut antea demonſtravi-
              <lb/>
            mus , ad hanc diſtantiam, in ſuo tempore periodico,
              <note symbol="*" position="left" xlink:label="note-0700-01" xlink:href="note-0700-01a" xml:space="preserve">1253.</note>
            volvere poſſet circa Tellurem quieſcentem, aut tranſlatam
              <lb/>
            in orbitâ, in qua ex Lunæ actione non turbatur Tel-
              <lb/>
            lus. </s>
            <s xml:id="echoid-s18234" xml:space="preserve">Multo facilius hac methodo Lunæ irregularitates de-
              <lb/>
            teguntur, quæ eædem ſunt, ut facile patet, ſive Luna circa
              <lb/>
            commune centrum gravitatis Lunæ & </s>
            <s xml:id="echoid-s18235" xml:space="preserve">Telluris, ſive circa ip-
              <lb/>
            ſum Telluris centrum rotetur.</s>
            <s xml:id="echoid-s18236" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s18237" xml:space="preserve">Sit Sol S; </s>
            <s xml:id="echoid-s18238" xml:space="preserve">Tellus in T; </s>
            <s xml:id="echoid-s18239" xml:space="preserve">Lunæ orbita AL Bl; </s>
            <s xml:id="echoid-s18240" xml:space="preserve">Tandem
              <lb/>
              <note position="left" xlink:label="note-0700-02" xlink:href="note-0700-02a" xml:space="preserve">1286.</note>
            detur Luna in A in quadraturâ; </s>
            <s xml:id="echoid-s18241" xml:space="preserve">per AS verſus Solem ten-
              <lb/>
              <note position="left" xlink:label="note-0700-03" xlink:href="note-0700-03a" xml:space="preserve">TAB. XXV.</note>
              <note position="left" xlink:label="note-0700-04" xlink:href="note-0700-04a" xml:space="preserve">fig. 1.</note>
            dit, eodem modo, & </s>
            <s xml:id="echoid-s18242" xml:space="preserve">eâdem cum vi, qua Tellus, verſus
              <lb/>
            S per TS fertur; </s>
            <s xml:id="echoid-s18243" xml:space="preserve">quia diſtantiæ AS & </s>
            <s xml:id="echoid-s18244" xml:space="preserve">TS ſunt æquales:
              <lb/>
            </s>
            <s xml:id="echoid-s18245" xml:space="preserve">repræſentetur vis hæc per TS aut AS poterit vis, qua Lu-
              <lb/>
            na conatur deſcendere per AS, reſolvi in duas, formato
              <lb/>
            parallelogrammo ADST; </s>
            <s xml:id="echoid-s18246" xml:space="preserve">ita ut Luna conetur moveri per
              <lb/>
            AD & </s>
            <s xml:id="echoid-s18247" xml:space="preserve">AT, viribus, quæ hiſce lineis repræſentantur .</s>
            <s xml:id="echoid-s18248" xml:space="preserve"/>
          </p>
          <note symbol="*" position="left" xml:space="preserve">192.</note>
          <p>
            <s xml:id="echoid-s18249" xml:space="preserve">Vi per AD agenti, Luna eâdem cum celeritate, & </s>
            <s xml:id="echoid-s18250" xml:space="preserve">ver-
              <lb/>
            ſus eandem partem cum Tellure fertur; </s>
            <s xml:id="echoid-s18251" xml:space="preserve">propter lineas paral-
              <lb/>
            lelas & </s>
            <s xml:id="echoid-s18252" xml:space="preserve">æquales TS & </s>
            <s xml:id="echoid-s18253" xml:space="preserve">AD; </s>
            <s xml:id="echoid-s18254" xml:space="preserve">quare ex hoc motu relatioin-
              <lb/>
            ter Lunam & </s>
            <s xml:id="echoid-s18255" xml:space="preserve">Tellurem non mutatur; </s>
            <s xml:id="echoid-s18256" xml:space="preserve">vis autem per AT
              <lb/>
            cum gravitate Lunæ in Tellurem conſpirat, & </s>
            <s xml:id="echoid-s18257" xml:space="preserve">augetur gra-
              <lb/>
              <note position="left" xlink:label="note-0700-06" xlink:href="note-0700-06a" xml:space="preserve">1287.</note>
            vitas hæc ex actione Solis, quando Luna in quadraturis da-
              <lb/>
            tur: </s>
            <s xml:id="echoid-s18258" xml:space="preserve">eſtque augmentum ad Telluris gravitatem in Solem, ut
              <lb/>
            AT, Lunæ diſtantia à Tellure, ad TS, Telluris diſtantiam
              <lb/>
            à Sole.</s>
            <s xml:id="echoid-s18259" xml:space="preserve"/>
          </p>
          <p style="it">
            <s xml:id="echoid-s18260" xml:space="preserve">Manente TS, Telluris diſtantiâ à Sole, creſcit & </s>
            <s xml:id="echoid-s18261" xml:space="preserve">minui-
              <lb/>
              <note position="left" xlink:label="note-0700-07" xlink:href="note-0700-07a" xml:space="preserve">1288.</note>
            tur augmentum memoratum gravitatis in ratione lineæ AT,
              <lb/>
            diſtantiæ Lunæ à Tellure.</s>
            <s xml:id="echoid-s18262" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s18263" xml:space="preserve">Manente autem hac Lunæ diſtantiâ à Tellure AT, ſi au-
              <lb/>
            geatur TS minor erit AT reſpectu AS; </s>
            <s xml:id="echoid-s18264" xml:space="preserve">ideo licèt non mu-
              <lb/>
            taretur vis, qua Tellus & </s>
            <s xml:id="echoid-s18265" xml:space="preserve">Luna verſus Solem cadunt, aug-
              <lb/>
            mentum minus erit, & </s>
            <s xml:id="echoid-s18266" xml:space="preserve">eo minus, quo major eſt TS, id eſt,
              <lb/>
            erit inverſè ut TS; </s>
            <s xml:id="echoid-s18267" xml:space="preserve">vis autem gravitatis non manet, quando
              <lb/>
            TS augetur, ſed minuitur; </s>
            <s xml:id="echoid-s18268" xml:space="preserve">quare & </s>
            <s xml:id="echoid-s18269" xml:space="preserve">eo reſpectu minuitur
              <lb/>
            augmentum memoratum, & </s>
            <s xml:id="echoid-s18270" xml:space="preserve">quidem in eâdem ratione </s>
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