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

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        <div xml:id="echoid-div308" type="section" level="1" n="142">
          <pb o="554" file="0286" n="301" rhead="CHRIST. HUGENII"/>
          <note position="right" xml:space="preserve">
            <lb/>
          ## Gra. # Mi. # # G. # M.
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          Motus # Epochæ, # 274 # 21 # b # Locus app. 25
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          # Anni @ # 282 # 35 # Mart. 1655, # 4 # 39 # ♍
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          # Martii 1 # 252 # 9 # b # Locusapp. tem- \\ pore epochæ, # 11 # 41 # Ω
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          # Dies 24 # 181 # 54
            <lb/>
          # Horæ 8 # 7 # 32 # Reſtat b motus \\ apparens, # 22 # 58
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          # Summa # 278 # 31
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          Motus Saturni apparens # 22 # 58
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          # Reliquum # 255 # 33 ##### diſtantia Lunæ Saturni \\ ab apogæo.
            <lb/>
          </note>
          <p>
            <s xml:id="echoid-s6052" xml:space="preserve">Ut verò conſtet methodi ratio, intelligatur in ſuperiori
              <lb/>
              <note position="left" xlink:label="note-0286-02" xlink:href="note-0286-02a" xml:space="preserve">Ejus calculi
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              comprobatio.
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              TAB. XLIX.
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              fig. 1.</note>
            diagrammate, Saturnus die 1 Jan. </s>
            <s xml:id="echoid-s6053" xml:space="preserve">1653 poſitus fuiſſe in A,
              <lb/>
            terra in G, Luna Saturni in E, gradibus 274, 21′ ab apo-
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            gæo L. </s>
            <s xml:id="echoid-s6054" xml:space="preserve">Rurſumque 25 Martii 1655, Saturnus ponatur in
              <lb/>
            B, terra in F, Luna Saturni in M: </s>
            <s xml:id="echoid-s6055" xml:space="preserve">ſitque B N parallela
              <lb/>
            A L. </s>
            <s xml:id="echoid-s6056" xml:space="preserve">Quoniam igitur Lunæ motus periodicus inter bina
              <lb/>
            illa tempora, additus motui Epochæ, hoc eſt, arcui L D E
              <lb/>
            graduum 274, 21′, efficit gr. </s>
            <s xml:id="echoid-s6057" xml:space="preserve">278, 31′; </s>
            <s xml:id="echoid-s6058" xml:space="preserve">erit idcirco arcus
              <lb/>
            N K M hoc graduum numero. </s>
            <s xml:id="echoid-s6059" xml:space="preserve">Diſtantia autem Lunæ Sa-
              <lb/>
            turniæ ab apogæo eſt arcus O K M, qui ut cognoſcatur,
              <lb/>
            auferendus eſt ab arcu N K M arcus N O. </s>
            <s xml:id="echoid-s6060" xml:space="preserve">Ergo cum arcus
              <lb/>
            N O totidem ſit graduum atque angulus quem conſtituunt
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            rectæ O F, L G; </s>
            <s xml:id="echoid-s6061" xml:space="preserve">hujus autem quantitas definiatur apparen-
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            ti Saturni motu inter duo prædicta tempora; </s>
            <s xml:id="echoid-s6062" xml:space="preserve">apparet nos
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            rectè ab inventis gr. </s>
            <s xml:id="echoid-s6063" xml:space="preserve">278, 31′, hoc eſt ab arcu N K M, ſub-
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            traxiſſe Saturni motum apparentem gr. </s>
            <s xml:id="echoid-s6064" xml:space="preserve">22, 58′ (quippe
              <lb/>
            æqualem arcui N O) ad conſequendum arcum O K M, gr.
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            </s>
            <s xml:id="echoid-s6065" xml:space="preserve">255, 33′, diſtantiam nempe Lunæ Saturni ab apogæo.</s>
            <s xml:id="echoid-s6066" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s6067" xml:space="preserve">Nondum hic locus eſt explicandi alium quendam hujus
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            lunulæ motum in latitudinem, obſervationibus aliquot præ-
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            cedentibus jam ſeſe prodere incipientem; </s>
            <s xml:id="echoid-s6068" xml:space="preserve">quo nempe ab li-
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            nea recta per anſarum extrema tranſeunte plerumque exorbi-
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            tat, apparetque circa Saturnum ellipſin percurerre, inter-
              <lb/>
            dum quidem ſatis latam, alias verò anguſtiorem, & </s>
            <s xml:id="echoid-s6069" xml:space="preserve"/>
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