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

Table of Notes

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page |< < (170) of 438 > >|
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          <pb o="170" file="184" n="184" rhead="CONSTRUCT. ET USAGES DE LA BOUSSOLE"/>
          <p>
            <s xml:id="echoid-s5492" xml:space="preserve">Suppoſons pour exemple, qu'ayant placé la Bouſſole le long du
              <lb/>
            côté AB, ou ce qui eſt la même choſe, le long d'une ligne parailele
              <lb/>
            à ce côté, & </s>
            <s xml:id="echoid-s5493" xml:space="preserve">que mettant l'œil proche la pinule du midi, on décou-
              <lb/>
            vre deux piquets plantez dans ladite ligne; </s>
            <s xml:id="echoid-s5494" xml:space="preserve">ſi l'éguille s'arrête ſur le
              <lb/>
            30
              <emph style="sub">me</emph>
            degré vers l'Occident, j'écris ce nombre 30 deg. </s>
            <s xml:id="echoid-s5495" xml:space="preserve">le long de la
              <lb/>
            ligne AB du mémorial, & </s>
            <s xml:id="echoid-s5496" xml:space="preserve">en même tems la quantité de 50 toiſes
              <lb/>
            qui ont été meſurées du point A au point B. </s>
            <s xml:id="echoid-s5497" xml:space="preserve">Je tranſporte enſuite
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            la Bouſſole avec ſon pied, le long du côté BC, ou dans l'alignement
              <lb/>
            des piquets, plantez parallelement audit côté, mettant toûjours la
              <lb/>
            pinule du Sud ou Midi du côté de l'œil; </s>
            <s xml:id="echoid-s5498" xml:space="preserve">ſi l'éguille s'arrête ſur le
              <lb/>
            100 degré, j'écris ce nombre ſur la ligne BC, & </s>
            <s xml:id="echoid-s5499" xml:space="preserve">en même tems la
              <lb/>
            quantité de 70 toiſes qui ont été meſurées du point B au point C:
              <lb/>
            </s>
            <s xml:id="echoid-s5500" xml:space="preserve">Faiſant ainſi tout le tour du Marais, on marquera ſur chaque ligne
              <lb/>
            correſpondante le nombre des degrez & </s>
            <s xml:id="echoid-s5501" xml:space="preserve">des toiſes, par le moïen deſ-
              <lb/>
            quels on mettra au net le plan propoſé en la maniere ſuivante, en fe
              <lb/>
            ſervant d'un Rapporteur, ou demi-cercle, & </s>
            <s xml:id="echoid-s5502" xml:space="preserve">d'une Regle diviſée
              <lb/>
            en parties égales, ou bien d'un Compas de Proportion.</s>
            <s xml:id="echoid-s5503" xml:space="preserve"/>
          </p>
          <note position="right" xml:space="preserve">
            <lb/>
          Angles \\ obſervez # Angles \\ ſouſtraits.
            <lb/>
          30 degrez # Degrez.
            <lb/>
          100. . . . # 70
            <lb/>
          130. . . . # 30
            <lb/>
          240. . . . # 100
            <lb/>
          300. . . . # 60
            <lb/>
          </note>
          <p>
            <s xml:id="echoid-s5504" xml:space="preserve">Marquez de ſuite tous les
              <lb/>
            Angles obſervez avec la Bouſ-
              <lb/>
            ſole, & </s>
            <s xml:id="echoid-s5505" xml:space="preserve">ſouſtraïez le moindre
              <lb/>
            du plus grand que vous mar-
              <lb/>
            querez entre deux, comme on
              <lb/>
            voit en cette Table.</s>
            <s xml:id="echoid-s5506" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s5507" xml:space="preserve">Commencez par tracer la ligne indéfinie AB, ſur laquelle vous
              <lb/>
            porterez 50 parties égales de vôtre Echellle, à cauſe des 50 toiſes,
              <lb/>
            meſurées ſur le terrain; </s>
            <s xml:id="echoid-s5508" xml:space="preserve">faites au point B avec un rapporteur l'angle
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            extérieur de 70 deg. </s>
            <s xml:id="echoid-s5509" xml:space="preserve">& </s>
            <s xml:id="echoid-s5510" xml:space="preserve">tirez la ligne indéfinie BC, ſur laquelle vous
              <lb/>
            marquerez de B en C 70 toiſes, qui ont été meſurées ſur le terrain:
              <lb/>
            </s>
            <s xml:id="echoid-s5511" xml:space="preserve">faites au point C l'angle extérieur de 30 deg. </s>
            <s xml:id="echoid-s5512" xml:space="preserve">& </s>
            <s xml:id="echoid-s5513" xml:space="preserve">tirez la ligne indé-
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            finie CD, laquelle vous déterminerez de 65 toiſes de longueur,
              <lb/>
            conformément à la meſure qui en a été trouvée. </s>
            <s xml:id="echoid-s5514" xml:space="preserve">Faites pareillement
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            au point D l'angle extérieur de 110 deg. </s>
            <s xml:id="echoid-s5515" xml:space="preserve">& </s>
            <s xml:id="echoid-s5516" xml:space="preserve">tirez la ligne DE de 70
              <lb/>
            toiſes. </s>
            <s xml:id="echoid-s5517" xml:space="preserve">Faites enfin au point E l'angle extérieur de 60 deg. </s>
            <s xml:id="echoid-s5518" xml:space="preserve">& </s>
            <s xml:id="echoid-s5519" xml:space="preserve">tirez
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            la derniere ligne AE de 94 toifes, & </s>
            <s xml:id="echoid-s5520" xml:space="preserve">le plan ſera achevé.</s>
            <s xml:id="echoid-s5521" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s5522" xml:space="preserve">Enſuite il ſera facile de l'orienter, puiſque vous ſcavez quel an-
              <lb/>
            gle fait l'éguille avec chaque côté du plan.</s>
            <s xml:id="echoid-s5523" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s5524" xml:space="preserve">Remarquez, que les angles ſouſtraits vous donnent les angles
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            </s>
          </p>
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