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

Table of Notes

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            <s xml:id="echoid-s9069" xml:space="preserve">
              <pb o="286" file="302" n="302" rhead="CONSTRUCT. ET USAGES DES INSTUMENS"/>
            me proportion que ceux de longitude auroient dû décroître. </s>
            <s xml:id="echoid-s9070" xml:space="preserve">Ainſi
              <lb/>
            l'inégalité qui devroit être dans les deg. </s>
            <s xml:id="echoid-s9071" xml:space="preserve">de longitude de differens
              <lb/>
            paralleles, ſe rejete ſur les degrez de latitude de la maniere que nous
              <lb/>
            dirons ci-après.</s>
            <s xml:id="echoid-s9072" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s9073" xml:space="preserve">Les Cartes conſtruites de cette maniere s'appellent réduites, ou
              <lb/>
            au point réduit, dont on ſe ſert ordinairement comme des meilleu-
              <lb/>
            res; </s>
            <s xml:id="echoid-s9074" xml:space="preserve">l'experience de pluſieurs ſiecles ayant fait connoître que pour
              <lb/>
            l'uſage des Pilotes il faut des Cartes très-ſimples où les Méridiens,
              <lb/>
            les paralleles à l'Equateur & </s>
            <s xml:id="echoid-s9075" xml:space="preserve">les Rumbs de vent ſoient repreſentez
              <lb/>
            par des lignes droites pour la facilité du pointage de leurs routes.</s>
            <s xml:id="echoid-s9076" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div598" type="section" level="1" n="300">
          <head xml:id="echoid-head429" xml:space="preserve">CHAPITRE IV.</head>
          <head xml:id="echoid-head430" style="it" xml:space="preserve">Contenant la Conſtruction des Cartes réduites & leurs Vſages.</head>
          <p>
            <s xml:id="echoid-s9077" xml:space="preserve">P Our augmenter autant à proportion les degrez de latitude, que
              <lb/>
              <note position="left" xlink:label="note-302-01" xlink:href="note-302-01a" xml:space="preserve">XXI.
                <lb/>
              Planche.</note>
            ceux de longitude ſe trouvent agrandis en les faiſant égaux à
              <lb/>
            ceux de l'Equateur, on employe les Secantes qui augmentent autant
              <lb/>
            les unes ſur lesautres, que les Sinus de complément de latitude, qui
              <lb/>
            devroient repreſenter les deg. </s>
            <s xml:id="echoid-s9078" xml:space="preserve">de longitude, ont été augmentez en
              <lb/>
            les faiſant égaux au raïon de l'Equateur par le paralleliſme des Mé-
              <lb/>
            ridiens; </s>
            <s xml:id="echoid-s9079" xml:space="preserve">car le ſinus de complément d'un arc eſt au Sinus total, com-
              <lb/>
            me le Sinus total eſt à la Secante de ce même arc.</s>
            <s xml:id="echoid-s9080" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s9081" xml:space="preserve">Ainſi prenant pour un degré de l'Equateur & </s>
            <s xml:id="echoid-s9082" xml:space="preserve">pour le premier de-
              <lb/>
            gré de latitude le raïon entier ou une partie aliquote quelconque de
              <lb/>
            ceraïon, on prend pour le ſccond degré de latitude la Secante d'un
              <lb/>
            degré ou la partie aliquote ſemblable de cette Secante; </s>
            <s xml:id="echoid-s9083" xml:space="preserve">pour le 3
              <emph style="sub">me</emph>
              <lb/>
            degré de latitude on prend la Secante de deux degrez ou la partie a-
              <lb/>
            liquote ſemblable, & </s>
            <s xml:id="echoid-s9084" xml:space="preserve">ainſi de ſuite.</s>
            <s xml:id="echoid-s9085" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s9086" xml:space="preserve">Lorſqu'on veut avoir une Carte à plus grand point, on prend pour
              <lb/>
            30 m. </s>
            <s xml:id="echoid-s9087" xml:space="preserve">de latitude & </s>
            <s xml:id="echoid-s9088" xml:space="preserve">pour 30 m. </s>
            <s xml:id="echoid-s9089" xml:space="preserve">de l'Equateur, un raïon de cercle
              <lb/>
            ou une partie aliquote quelconque de ce raïon, pour un degre de la-
              <lb/>
            titude. </s>
            <s xml:id="echoid-s9090" xml:space="preserve">On ajoûte de ſuitela Secante de 30 m. </s>
            <s xml:id="echoid-s9091" xml:space="preserve">pour un degré & </s>
            <s xml:id="echoid-s9092" xml:space="preserve">de-
              <lb/>
            mi de latitude, on ajoûte de ſuite la Secante d'un degré, pour 2 deg.
              <lb/>
            </s>
            <s xml:id="echoid-s9093" xml:space="preserve">de latitude; </s>
            <s xml:id="echoid-s9094" xml:space="preserve">on ajoûte la Secante d'un degré, 30 m. </s>
            <s xml:id="echoid-s9095" xml:space="preserve">ou les parties
              <lb/>
            aliquotes ſemblables de ces Secantes, & </s>
            <s xml:id="echoid-s9096" xml:space="preserve">ainſi de ſuite.</s>
            <s xml:id="echoid-s9097" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s9098" xml:space="preserve">On ſeſert pour cela dans la pratique, d'une Echelle de parties éga-
              <lb/>
            les, ſur laquelle on prend le nombre des parties qui répondent à peu
              <lb/>
            près aux Secantes qui ſe trouvent dans les Tables, en retranchant
              <lb/>
            les dernieres figures.</s>
            <s xml:id="echoid-s9099" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s9100" xml:space="preserve">Dans ces Cartes l'Echelle eſt changeante à meſure qu'on change
              <lb/>
            </s>
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