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

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        <div xml:id="echoid-div237" type="section" level="1" n="98">
          <p>
            <s xml:id="echoid-s2136" xml:space="preserve">
              <pb o="65" file="079" n="79" rhead="DU COMPAS DE PROPORTION. Liv. II. Ch. II."/>
            des fonds, & </s>
            <s xml:id="echoid-s2137" xml:space="preserve">celui du milieu ſous le bondon, ce qui eſt affez exact
              <lb/>
            pour la pratique, principalement lorſqu'il y a peu de difference en-
              <lb/>
            tre les cercles des fonds & </s>
            <s xml:id="echoid-s2138" xml:space="preserve">celui du milieu du tonneau.</s>
            <s xml:id="echoid-s2139" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s2140" xml:space="preserve">Pour conſtruire la premiere ſorte de jauge; </s>
            <s xml:id="echoid-s2141" xml:space="preserve">il faut déterminer la
              <lb/>
            meſure dont on veut ſeſervir, en la comparant avec quelque vaſe
              <lb/>
            regulier, comme un cylindre concave; </s>
            <s xml:id="echoid-s2142" xml:space="preserve">dans lequel on verſera une
              <lb/>
            meſure du païs remplie d'eau ou de quelque autre liqueur, dont on
              <lb/>
            marquera exactement le diametre & </s>
            <s xml:id="echoid-s2143" xml:space="preserve">la profondeur occupée par la-
              <lb/>
            dite liqueur.</s>
            <s xml:id="echoid-s2144" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s2145" xml:space="preserve">Si, par exemple, on veut faire cette jauge pour Paris, où la pinte
              <lb/>
            contient quarante-huit pouces cubiques, ou bien ſoixante & </s>
            <s xml:id="echoid-s2146" xml:space="preserve">un pou-
              <lb/>
            ces cylindriques, on trouvera par le calcul, qu'un cylindre concave
              <lb/>
            ayant trois pouces onze lignes & </s>
            <s xml:id="echoid-s2147" xml:space="preserve">un tiers de diametre, & </s>
            <s xml:id="echoid-s2148" xml:space="preserve">autant de
              <lb/>
            profondeur, contient une pinte meſure de Paris, & </s>
            <s xml:id="echoid-s2149" xml:space="preserve">qu'un cylindre
              <lb/>
            dont les meſures ſont doubles, c'eſt-à-dire, de ſept pouces dix lignes
              <lb/>
            & </s>
            <s xml:id="echoid-s2150" xml:space="preserve">deux tiers, contient un ſeptier ou huit pintes; </s>
            <s xml:id="echoid-s2151" xml:space="preserve">car les ſolides ſem-
              <lb/>
            blables ſontentr'eux comme les cubes de leurs côtez homologues.</s>
            <s xml:id="echoid-s2152" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s2153" xml:space="preserve">Cela ſuppoſé, portez cette longueur de 3 pouces 11 lignes i tiers
              <lb/>
            ſur une des faces de la jauge, autant de fois qu'elle y pourra être
              <lb/>
            compriſe, & </s>
            <s xml:id="echoid-s2154" xml:space="preserve">y marquez des points, ou vous écrirez 1, 2, 3, 4, 5, &</s>
            <s xml:id="echoid-s2155" xml:space="preserve">c.
              <lb/>
            </s>
            <s xml:id="echoid-s2156" xml:space="preserve">
              <note position="right" xlink:label="note-079-01" xlink:href="note-079-01a" xml:space="preserve">Fig. 14.</note>
            vous ſubdiviſerez chacune de ces parties en quatre, ou plus, ſi vous
              <lb/>
            voulez. </s>
            <s xml:id="echoid-s2157" xml:space="preserve">Cette face ainſi diviſée, ſera appellée côté des parties éga-
              <lb/>
            les, & </s>
            <s xml:id="echoid-s2158" xml:space="preserve">ſervira à meſurer la longueur des tonneaux.</s>
            <s xml:id="echoid-s2159" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s2160" xml:space="preserve">Il faut auſſi marquer ſur une autre face de la jauge le diametre du
              <lb/>
            même cylindre, que nous ſuppoſons pareillement de trois pouces
              <lb/>
            onze lignes & </s>
            <s xml:id="echoid-s2161" xml:space="preserve">un tiers, & </s>
            <s xml:id="echoid-s2162" xml:space="preserve">enſuite les diametres des cercles doubles,
              <lb/>
            triples, quadruples, &</s>
            <s xml:id="echoid-s2163" xml:space="preserve">c. </s>
            <s xml:id="echoid-s2164" xml:space="preserve">par quelqu'une des methodes ci-devant
              <lb/>
            expliquées pour diviſer la ligne des plans du compas de proportion,
              <lb/>
            dont la plus facile & </s>
            <s xml:id="echoid-s2165" xml:space="preserve">la plus courte eſt de faire un triangle Iſocele
              <lb/>
            rectangle ABC, dont chacune des jambes autour de l'angle droit
              <lb/>
              <note position="right" xlink:label="note-079-02" xlink:href="note-079-02a" xml:space="preserve">Fig. 15.</note>
            ſoit de trois pouces onze lignes un tiers, l'hypotenuſe BC ſera le
              <lb/>
            diametre d'un cercle double; </s>
            <s xml:id="echoid-s2166" xml:space="preserve">c'eſt pourquoi ayant prolongé vers D
              <lb/>
            une deſdites jambes AB autant quil eſt beſoin pour y marquer tous
              <lb/>
            les diametres des tonneaux qu'on veut meſurer, vous porterez de A
              <lb/>
            vers D ladite hypotenuſe, & </s>
            <s xml:id="echoid-s2167" xml:space="preserve">au point où elle ſe terminera vous
              <lb/>
            marquerez le chifre 2; </s>
            <s xml:id="echoid-s2168" xml:space="preserve">prenez enſuite la diſtance C 2, & </s>
            <s xml:id="echoid-s2169" xml:space="preserve">l'ayant
              <lb/>
            portée ſur la ligne AD, vous marquerez le chifre 3 au point où
              <lb/>
            elle ſe terminera; </s>
            <s xml:id="echoid-s2170" xml:space="preserve">prenez de même la diſtance C 3, & </s>
            <s xml:id="echoid-s2171" xml:space="preserve">l'ayant portée
              <lb/>
            ſur la ligne AD, vous y marquerez le chifre 4, & </s>
            <s xml:id="echoid-s2172" xml:space="preserve">ainſi de tous les
              <lb/>
            autres diametres que vous voudrez marquer ſur la jauge.</s>
            <s xml:id="echoid-s2173" xml:space="preserve"/>
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