Bion, Nicolas, Traité de la construction et principaux usages des instruments de mathématique, 1723

Table of Notes

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        <div xml:id="echoid-div592" type="section" level="1" n="295">
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            <s xml:id="echoid-s8878" xml:space="preserve">
              <pb o="281" file="297" n="297" rhead="POUR LA NAVIGATION. Liv. VII. Ch. III."/>
            Ayant pris hauteur juſtement à Midi, cherchez dans la Table à ce
              <lb/>
            même jour, la déclinaiſon du ſoleil. </s>
            <s xml:id="echoid-s8879" xml:space="preserve">Si elle eſt Septentrionale, qui eſt
              <lb/>
            depuis le 20 Mars juſqu'au 22 Septembre, ou depuis ♈ juſqu'à ♎;
              <lb/>
            </s>
            <s xml:id="echoid-s8880" xml:space="preserve">ôtez cette declinaiſon de la hauteur du Soleil, le reſte ſera la hauteur
              <lb/>
            de l'Equateur, laquelle étant ſouſtraite de 90, le reſte ſera la hau-
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            teur du Pole.</s>
            <s xml:id="echoid-s8881" xml:space="preserve"/>
          </p>
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        <div xml:id="echoid-div593" type="section" level="1" n="296">
          <head xml:id="echoid-head424" xml:space="preserve">EXEMPLE.</head>
          <p>
            <s xml:id="echoid-s8882" xml:space="preserve">Le Soleil étant au premier degré de 69, ſa hauteur à Midi eſt à
              <lb/>
            Paris de 64 d. </s>
            <s xml:id="echoid-s8883" xml:space="preserve">30 m. </s>
            <s xml:id="echoid-s8884" xml:space="preserve">la déclinaiſon boreale eſt de 24 d. </s>
            <s xml:id="echoid-s8885" xml:space="preserve">30 m. </s>
            <s xml:id="echoid-s8886" xml:space="preserve">Etant
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            ôtée de 64 d. </s>
            <s xml:id="echoid-s8887" xml:space="preserve">30 m. </s>
            <s xml:id="echoid-s8888" xml:space="preserve">reſte 41 d. </s>
            <s xml:id="echoid-s8889" xml:space="preserve">pour la hauteur de l'Equateur, ſon
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            complement juſqu'à 90 eſt 49, qui ſera la hauteur du Pole à Pa-
              <lb/>
            ris; </s>
            <s xml:id="echoid-s8890" xml:space="preserve">mais ſi c'étoit depuis le 22 Septembre juſqu'au 20 Mars, la dé-
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            clinaiſon du Soleil ſeroit Méridionale. </s>
            <s xml:id="echoid-s8891" xml:space="preserve">Il faudroit pour lors y ajoû-
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            ter la hauteur Meridiene. </s>
            <s xml:id="echoid-s8892" xml:space="preserve">Le total ſera la hauteur de l'Equateur.
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            </s>
            <s xml:id="echoid-s8893" xml:space="preserve">Exemple. </s>
            <s xml:id="echoid-s8894" xml:space="preserve">Le 22 Dec. </s>
            <s xml:id="echoid-s8895" xml:space="preserve">le Soleil eſt élevé à Midià Paris de 17 d. </s>
            <s xml:id="echoid-s8896" xml:space="preserve">30 m. </s>
            <s xml:id="echoid-s8897" xml:space="preserve">
              <lb/>
            ſa déclinaiſon eſt 23 d. </s>
            <s xml:id="echoid-s8898" xml:space="preserve">30 m. </s>
            <s xml:id="echoid-s8899" xml:space="preserve">laquelle ajoûtée à 17 d. </s>
            <s xml:id="echoid-s8900" xml:space="preserve">30 m. </s>
            <s xml:id="echoid-s8901" xml:space="preserve">le total eſt
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            41, dont le complément 49, ſera la latitude du lieu. </s>
            <s xml:id="echoid-s8902" xml:space="preserve">Sile Soleil n'a-
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            voit point de déclinaiſon comme au commencement de ♈ & </s>
            <s xml:id="echoid-s8903" xml:space="preserve">♎, ſa
              <lb/>
            hauteur ſeroit celle de l'Equateur, laquelle étant ſouſtraite de 90,
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            le reſte ſeroit la hauteur du Pole. </s>
            <s xml:id="echoid-s8904" xml:space="preserve">Si en ce même tems-là le Soleil
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            eſt élevé de 90 d. </s>
            <s xml:id="echoid-s8905" xml:space="preserve">à Midi, c'eſt une marque qu'on ſeroit ſousla ligne
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            Equinoctiale. </s>
            <s xml:id="echoid-s8906" xml:space="preserve">En prenant exactement la hauteur du ſoleil à toutes
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            les heures du jour, on pourra faire des tables des hauteurs du So-
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            leil ſur l'horiſon, mais elles ſe font bien plus juſte par la calcul.</s>
            <s xml:id="echoid-s8907" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div594" type="section" level="1" n="297">
          <head xml:id="echoid-head425" xml:space="preserve">CHAPITRE III.</head>
          <head xml:id="echoid-head426" style="it" xml:space="preserve">Contenant la Conſtruction du Luartier de réduction
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          & ſes uſages.</head>
          <p>
            <s xml:id="echoid-s8908" xml:space="preserve">LE Quartier de reduction eſt un Inſtrument dont ſe ſervent les
              <lb/>
              <note position="right" xlink:label="note-297-01" xlink:href="note-297-01a" xml:space="preserve">XX,
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              Planche.</note>
            Pilotes à reduire les routes de Navigation. </s>
            <s xml:id="echoid-s8909" xml:space="preserve">Il eſt compoſé de
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            pluſieurs quarts de cercle qui ont même centre A, & </s>
            <s xml:id="echoid-s8910" xml:space="preserve">de pluſieurs
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            lignes droites paralleles; </s>
            <s xml:id="echoid-s8911" xml:space="preserve">ces quarts de cercle & </s>
            <s xml:id="echoid-s8912" xml:space="preserve">les lignes droites
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            ſont à diſtances égales. </s>
            <s xml:id="echoid-s8913" xml:space="preserve">On peu prendre l'un de ces quarts de cercle
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            comme BC, pour le quart de chaque grand cercle de la Sphere, & </s>
            <s xml:id="echoid-s8914" xml:space="preserve">
              <lb/>
            principalement pour quart de l'horiſon, & </s>
            <s xml:id="echoid-s8915" xml:space="preserve">du Méridien.</s>
            <s xml:id="echoid-s8916" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s8917" xml:space="preserve">En le prenant pour quart de l'horiſon, l'un de ſes côtez, tel
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            qu'on voudra, comme AB, repreſentera la ligne Meridiene, c'eſt-
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            à-dire, Nord & </s>
            <s xml:id="echoid-s8918" xml:space="preserve">Sud.</s>
            <s xml:id="echoid-s8919" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s8920" xml:space="preserve">L'autre côté AC, qui fait angle droit avec la Méridiene, repre-
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            ſente la ligne Eſt & </s>
            <s xml:id="echoid-s8921" xml:space="preserve">Oüeſt. </s>
            <s xml:id="echoid-s8922" xml:space="preserve">Toutes les autres lignes paralleles au
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            </s>
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