Bélidor, Bernard Forest de, La science des ingenieurs dans la conduite des travaux de fortification et d' architecture civile

Table of Notes

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              <s xml:id="echoid-s8124" xml:space="preserve">
                <pb o="68" file="0382" n="408" rhead="LA SCIENCE DES INGENIEURS,"/>
              Souterrains, & </s>
              <s xml:id="echoid-s8125" xml:space="preserve">de tous autres édifices militaires, ſelon leur differente
                <lb/>
              grandeur, pour qu’elle reſiſte également au choc des Bombes: </s>
              <s xml:id="echoid-s8126" xml:space="preserve">il eſt
                <lb/>
              vrai que nous ſommes prévenus, qu’une Voûte en plain ceintre, de
                <lb/>
              25 pieds de largeur & </s>
              <s xml:id="echoid-s8127" xml:space="preserve">de 3 pieds d’épaiſſeur dans le milieu des reins,
                <lb/>
              eſt parfaitement à l’épreuve; </s>
              <s xml:id="echoid-s8128" xml:space="preserve">mais, nous ignorons quelle dimenſion
                <lb/>
              il faut donner à celle qui auroit plus ou moins de largeur, car il
                <lb/>
              n’y a point de doute, qu’il ne faille regler l’épaiſſeur à proportion,
                <lb/>
              & </s>
              <s xml:id="echoid-s8129" xml:space="preserve">c’eſt ce que l’on pourra faire en ſuivant la regle que voici.</s>
              <s xml:id="echoid-s8130" xml:space="preserve"/>
            </p>
            <p>
              <s xml:id="echoid-s8131" xml:space="preserve">Voulant conſtruire un Magaſin de 36 pieds de largeur, couvert
                <lb/>
              par une Voûte en plain ceintre; </s>
              <s xml:id="echoid-s8132" xml:space="preserve">on demande quelle épaiſſeur il faut
                <lb/>
              lui donner dans le milieu des reins, pour qu’elle ſoit à l’épreuve: </s>
              <s xml:id="echoid-s8133" xml:space="preserve">il
                <lb/>
              faut dire, ſi le diamétre de 25 pieds donne 9 pour le quarré de l’épaiſſeur
                <lb/>
              de la Voûte qui eſt à l’épreuve, qui donnera 36 pieds diamétre d’une
                <lb/>
              autre Voûte, pour le quarré de ſon épaiſſeur, afin qn’elle ſoit auſſi à
                <lb/>
              l’épreuve; </s>
              <s xml:id="echoid-s8134" xml:space="preserve">on trouvera environ 13 pieds, dont la racine quarrée,
                <lb/>
              qui eſt 3 pieds 7 pouces 2 lignes, ſera au juſte l’épaiſſeur que l’on
                <lb/>
              demande, & </s>
              <s xml:id="echoid-s8135" xml:space="preserve">ainſi des autres.</s>
              <s xml:id="echoid-s8136" xml:space="preserve"/>
            </p>
            <p>
              <s xml:id="echoid-s8137" xml:space="preserve">Si l’on fait attention, que le principe que nous avons inſinué, au
                <lb/>
              ſujet de la reſiſtance des bois, dans le deuxiéme Chapitre de ce
                <lb/>
              quatriéme Livre, peut s’apliquer à celle des Voûtes, on apercevra
                <lb/>
              ſans peine la demonſtration de cette regle; </s>
              <s xml:id="echoid-s8138" xml:space="preserve">c’eſt pourquoi je ne m’y
                <lb/>
              arrêterai pas, pour ne point faire une trop longue digreſſion: </s>
              <s xml:id="echoid-s8139" xml:space="preserve">je
                <lb/>
              dirai ſeulement, qu’on pourra trouver de la même maniere la lon-
                <lb/>
              gueur des vouſſoirs pour les arches des Ponts, de telle grandeur
                <lb/>
              que l’on voudra, comme j’en ferai mention dans le ſecond volume.</s>
              <s xml:id="echoid-s8140" xml:space="preserve"/>
            </p>
            <p>
              <s xml:id="echoid-s8141" xml:space="preserve">Quand on conſtruit des Magaſins ſur des lieux élevés, & </s>
              <s xml:id="echoid-s8142" xml:space="preserve">qu’on
                <lb/>
              peut pratiquer au-deſſous de leur rez-de-Chauſſée des Souterrains
                <lb/>
              pour renfermer des munitions de guerre ou de bouche, on leur
                <lb/>
              donne la diſpoſition quel’on voit repreſentée par le 3
                <emph style="sub">e</emph>
              & </s>
              <s xml:id="echoid-s8143" xml:space="preserve">le 4
                <emph style="sub">e</emph>
              deſſein
                <lb/>
                <note position="left" xlink:label="note-0382-01" xlink:href="note-0382-01a" xml:space="preserve">
                  <emph style="sc">Planch</emph>
                .
                  <lb/>
                26.</note>
              de la 26
                <emph style="sub">e</emph>
              . </s>
              <s xml:id="echoid-s8144" xml:space="preserve">Planche, où l’on obſervera que le Souterrain eſt couvert
                <lb/>
              par pluſieurs Voûtes d’arrête, pour éviter l’élevation qu’il auroit
                <lb/>
                <note position="left" xlink:label="note-0382-02" xlink:href="note-0382-02a" xml:space="preserve">
                  <emph style="sc">Fig</emph>
                . 3.
                  <lb/>
                & 4.</note>
              fallu lui donner, ſi on avoit voulu le faire autrement; </s>
              <s xml:id="echoid-s8145" xml:space="preserve">on remarque-
                <lb/>
              ra auſſi que les contreforts ſe trouvent placés vis-à-vis les pilliers,
                <lb/>
              qui ſoutiennent les Voûtes dans le milieu des ſouterrains, parce
                <lb/>
              qu’ainſi ils buttent toute l’action de la pouſſée, qui dans ces ſortes
                <lb/>
              de Voûtes aboutit au point où ſe rencontrent les arrêtes ou dia-
                <lb/>
              gonalles: </s>
              <s xml:id="echoid-s8146" xml:space="preserve">comme ces Voûtes ſont garanties du principal effort de
                <lb/>
              la bombe, par celle qui couvre le Magaſin qui eſt au-deſſus, il
                <lb/>
              ſuffit de leur donner deux pieds d’épaiſſeur, à l’endroit de la clef
                <lb/>
              pour être parfaitement à l’épreuve.</s>
              <s xml:id="echoid-s8147" xml:space="preserve"/>
            </p>
            <p>
              <s xml:id="echoid-s8148" xml:space="preserve">L’on deſcend dans le ſouterrain par un eſcalier que l’on voit </s>
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