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

Table of handwritten notes

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[Handwritten note 1]
Page: 3
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page |< < (63) of 438 > >|
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        <div xml:id="echoid-div233" type="section" level="1" n="96">
          <p>
            <s xml:id="echoid-s2078" xml:space="preserve">
              <pb o="63" file="077" n="77" rhead="DU COMPAS DE PROPORTION. Liv. II. Ch. II."/>
            ſi on double la meſure de ſept pintes, on aura celle de ſeptſeptiers,
              <lb/>
            & </s>
            <s xml:id="echoid-s2079" xml:space="preserve">ainſi de toutes les autres meſures.</s>
            <s xml:id="echoid-s2080" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s2081" xml:space="preserve">Si la meſure diagonale d'une pinte eſt encore trop grande pour
              <lb/>
            être portée à l'ouverture du premier ſolide, on y portera ſa moitié,
              <lb/>
            & </s>
            <s xml:id="echoid-s2082" xml:space="preserve">le compas de proportion reſtant ainſi ouvert, on prendra l'ouver-
              <lb/>
            ture du ſecond ſolide, que l'on doublera pour avoir la diagonale de
              <lb/>
            deux pintes; </s>
            <s xml:id="echoid-s2083" xml:space="preserve">ayant pris de même l'ouverture du troiſiéme ſolide, on
              <lb/>
            la doublera pour marquer ſur la jauge la diagonale de trois pintes,
              <lb/>
            & </s>
            <s xml:id="echoid-s2084" xml:space="preserve">ainſi du reſte.</s>
            <s xml:id="echoid-s2085" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s2086" xml:space="preserve">Les marques des ſeptiers traverſeront toute la largeur de la ver-
              <lb/>
            ge, & </s>
            <s xml:id="echoid-s2087" xml:space="preserve">ſur icelles on gravera les chifres quiexpriment leurs nombres;
              <lb/>
            </s>
            <s xml:id="echoid-s2088" xml:space="preserve">les marques des pintes ſeront plus petites, pour les diftinguer.</s>
            <s xml:id="echoid-s2089" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s2090" xml:space="preserve">Afin que cette jauge puiſſe ſervir à meſurer pluſieurs ſortes de
              <lb/>
            tonneaux diffemblables, on pourra marquer d'autres diviſions ſur
              <lb/>
            chacune de ſes faces ſuivant les proportions des diametres, & </s>
            <s xml:id="echoid-s2091" xml:space="preserve">lon-
              <lb/>
            gueurs des differentes eſpeces de tonneaux uſitez dans le païs, & </s>
            <s xml:id="echoid-s2092" xml:space="preserve">
              <lb/>
            l'on marquera ſur un des bouts de chaque face les diametres & </s>
            <s xml:id="echoid-s2093" xml:space="preserve">lon-
              <lb/>
            gueurs qui ont ſervi a faire les diviſions; </s>
            <s xml:id="echoid-s2094" xml:space="preserve">par exemple, au bout de
              <lb/>
            la face où l'on aura marqué la diviſion precedente, on écrira, dia-
              <lb/>
            mettre des fonds 20, diamettre du milleu 22, longueur 40; </s>
            <s xml:id="echoid-s2095" xml:space="preserve">ou pour
              <lb/>
            abreger, diametre réduit 21, long. </s>
            <s xml:id="echoid-s2096" xml:space="preserve">30.</s>
            <s xml:id="echoid-s2097" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s2098" xml:space="preserve">Si pour les diviſions d'une autre face on ſert des meſures d'un
              <lb/>
            tonneau, dont le diametre de chaque fonds ſoit de vingt & </s>
            <s xml:id="echoid-s2099" xml:space="preserve">un
              <lb/>
            pouces, celui du milieu 23, & </s>
            <s xml:id="echoid-s2100" xml:space="preserve">la longueur interieure vingt-ſept
              <lb/>
            pouces & </s>
            <s xml:id="echoid-s2101" xml:space="preserve">demi, ce tonneau plus court que l'autre, mais plus gros,
              <lb/>
            contiendroit à peu près la même quantité, c'eſt-à-dire, vingt-ſept
              <lb/>
            ſeptiers, & </s>
            <s xml:id="echoid-s2102" xml:space="preserve">ſa diagonale ſeroit de vingt ſix pouces.</s>
            <s xml:id="echoid-s2103" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s2104" xml:space="preserve">Si un autre tonneau a toutes ſes dimenſions du tiers des prece-
              <lb/>
            dentes, il contiendra un ſeptier, & </s>
            <s xml:id="echoid-s2105" xml:space="preserve">ſa diagonale AC ſera de huit
              <lb/>
            pouces huit lignes; </s>
            <s xml:id="echoid-s2106" xml:space="preserve">au moyen de quoi il ſera facile de faire les divi-
              <lb/>
            ſions, comme nous avons dit ci-devant, & </s>
            <s xml:id="echoid-s2107" xml:space="preserve">de marquér ſur ladite
              <lb/>
            face, diametre réduit 23, longueur 27 & </s>
            <s xml:id="echoid-s2108" xml:space="preserve">demi.</s>
            <s xml:id="echoid-s2109" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s2110" xml:space="preserve">Si l'on fait quatre diviſions differentes ſur les quatre faces de la re-
              <lb/>
            gle, on aura ſur cette même regle quatre differentes jauges qui ſervi-
              <lb/>
            ront à meſurer quatre eſpeces differentes de tonneaux, & </s>
            <s xml:id="echoid-s2111" xml:space="preserve">l'on choi-
              <lb/>
            ſira celle qui conviendra le mieux pour jauger ceux qui ſe preſente-
              <lb/>
            ront, en examinant les proportions de leurs diametres & </s>
            <s xml:id="echoid-s2112" xml:space="preserve">longueurs.</s>
            <s xml:id="echoid-s2113" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s2114" xml:space="preserve">Au lieu de ſe ſervir des jambes du compas de proportion pour di-
              <lb/>
            viſer la jauge diagonale dont nous venons de parler, on peut encore
              <lb/>
            mieux ſe ſervir de la table des ſolides, rapportée à la page 40 Ainſi
              <lb/>
            </s>
          </p>
        </div>
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