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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                <pb o="78" file="0260" n="268" rhead="LA SCIENCE DES INGENIEURS,"/>
              fûreté ſans qu’il ſoit beſoin de rien augmenter ni diminuer des di-
                <lb/>
              menſions qu’on y raporte, à moins que ce ne ſoit pour éviter l’em-
                <lb/>
              barras des petites parties: </s>
              <s xml:id="echoid-s5620" xml:space="preserve">par exemple, on pourra ſupprimer les
                <lb/>
              lignes quoique je les aye raportées ſcrupuleuſement de même que
                <lb/>
              le calcul les a donné: </s>
              <s xml:id="echoid-s5621" xml:space="preserve">car 4 ou 5 lignes de plus ou de moins, ni
                <lb/>
              même deux ou trois pouces quand il s’agit de grands revêtemens,
                <lb/>
              ſont un trop petit objet dans la pratique pour s’en mettre en peine;
                <lb/>
              </s>
              <s xml:id="echoid-s5622" xml:space="preserve">cependant, il vaut mieux mettre plus que moins.</s>
              <s xml:id="echoid-s5623" xml:space="preserve"/>
            </p>
            <p>
              <s xml:id="echoid-s5624" xml:space="preserve">Comme la hauteur des revêtemens de toutes ces Tables aug-
                <lb/>
              mentent toûjours de 5 pieds depuis 10 juſqu’à 100, il n’y a point
                <lb/>
              de hauteur de rempart qu’on ne rencontre à peu près ſemblable à
                <lb/>
              celles qui y ſont raportées; </s>
              <s xml:id="echoid-s5625" xml:space="preserve">car s’il s’agiſſoit d’un revêtement de 31
                <lb/>
              ou 32 pieds, qui ſont deux nombres qui ne ſe trouvent pas dans la
                <lb/>
              colomne des hauteurs, on pourra prendre les dimenſions qui répon-
                <lb/>
              dent aux revêtemens de 30 pieds, ſans qu’on ait lieu d’aprehender
                <lb/>
              qu’elles ſoient trop foibles, puiſqu’elles mettront toujours le revê-
                <lb/>
              tement au-deſſus de l’équilibre, à cauſe de l’augmentation que nous
                <lb/>
              avons fait à la puiſſance agiſſante: </s>
              <s xml:id="echoid-s5626" xml:space="preserve">de même s’il s’agiſſoit d’un revê-
                <lb/>
              tement de 33 ou 34 pieds, on pourroit prendre les dimenſions qui
                <lb/>
              apartiennent à celui de 35, quoiqu’un peu plus fortes qu’elles ne de-
                <lb/>
              vroient être, en un mot on prendra toûjours les dimenſions du re-
                <lb/>
              vêtement dont la hauteur aprochera le plus de celui qu’on a deſſein
                <lb/>
              de conſtruire.</s>
              <s xml:id="echoid-s5627" xml:space="preserve"/>
            </p>
            <p>
              <s xml:id="echoid-s5628" xml:space="preserve">Il eſt bon de remarquer que les dimenſions des contreforts aug-
                <lb/>
              mentant en progreſſion d’Arithmetique, leurs baſes doivent aug-
                <lb/>
              menter en ſuperficie dans la raiſon des quarrés de leurs côtés ho-
                <lb/>
              mologues, & </s>
              <s xml:id="echoid-s5629" xml:space="preserve">prenant pour côté homologue la longueur de chaque
                <lb/>
              contrefort, c’eſt-à-dire 4. </s>
              <s xml:id="echoid-s5630" xml:space="preserve">5. </s>
              <s xml:id="echoid-s5631" xml:space="preserve">6. </s>
              <s xml:id="echoid-s5632" xml:space="preserve">7. </s>
              <s xml:id="echoid-s5633" xml:space="preserve">8. </s>
              <s xml:id="echoid-s5634" xml:space="preserve">9. </s>
              <s xml:id="echoid-s5635" xml:space="preserve">10. </s>
              <s xml:id="echoid-s5636" xml:space="preserve">11. </s>
              <s xml:id="echoid-s5637" xml:space="preserve">12. </s>
              <s xml:id="echoid-s5638" xml:space="preserve">13. </s>
              <s xml:id="echoid-s5639" xml:space="preserve">14. </s>
              <s xml:id="echoid-s5640" xml:space="preserve">15. </s>
              <s xml:id="echoid-s5641" xml:space="preserve">16.
                <lb/>
              </s>
              <s xml:id="echoid-s5642" xml:space="preserve">17. </s>
              <s xml:id="echoid-s5643" xml:space="preserve">18. </s>
              <s xml:id="echoid-s5644" xml:space="preserve">19. </s>
              <s xml:id="echoid-s5645" xml:space="preserve">20. </s>
              <s xml:id="echoid-s5646" xml:space="preserve">21. </s>
              <s xml:id="echoid-s5647" xml:space="preserve">22. </s>
              <s xml:id="echoid-s5648" xml:space="preserve">leurs baſes augmenteront dans le raport de
                <lb/>
              16. </s>
              <s xml:id="echoid-s5649" xml:space="preserve">25. </s>
              <s xml:id="echoid-s5650" xml:space="preserve">36. </s>
              <s xml:id="echoid-s5651" xml:space="preserve">49. </s>
              <s xml:id="echoid-s5652" xml:space="preserve">64. </s>
              <s xml:id="echoid-s5653" xml:space="preserve">81. </s>
              <s xml:id="echoid-s5654" xml:space="preserve">100. </s>
              <s xml:id="echoid-s5655" xml:space="preserve">121. </s>
              <s xml:id="echoid-s5656" xml:space="preserve">144. </s>
              <s xml:id="echoid-s5657" xml:space="preserve">169. </s>
              <s xml:id="echoid-s5658" xml:space="preserve">196. </s>
              <s xml:id="echoid-s5659" xml:space="preserve">225. </s>
              <s xml:id="echoid-s5660" xml:space="preserve">256. </s>
              <s xml:id="echoid-s5661" xml:space="preserve">289. </s>
              <s xml:id="echoid-s5662" xml:space="preserve">
                <lb/>
              324. </s>
              <s xml:id="echoid-s5663" xml:space="preserve">361. </s>
              <s xml:id="echoid-s5664" xml:space="preserve">400. </s>
              <s xml:id="echoid-s5665" xml:space="preserve">441. </s>
              <s xml:id="echoid-s5666" xml:space="preserve">484. </s>
              <s xml:id="echoid-s5667" xml:space="preserve">Or comme les derniers quarrés ſont bien
                <lb/>
              plus grands à proportion que les premiers, il s’enſuit que les baſes
                <lb/>
              des contreforts, par conſequent les contreforts mêmes, augmentent
                <lb/>
              beaucoup plus à proportion que ne font les revêtemens. </s>
              <s xml:id="echoid-s5668" xml:space="preserve">Mais comme
                <lb/>
              les contreforts ne peuvent augmenter plus qu’ils ne devroient na-
                <lb/>
              turellement, ſans que les épaiſſeurs du ſommet & </s>
              <s xml:id="echoid-s5669" xml:space="preserve">de la baſe des re-
                <lb/>
              vêtemens ne diminuënt, il s’enſuit que les differences des épaiſſeurs
                <lb/>
              marquées dans les Tables, au lieu d’augmenter, doivent plûtôt di-
                <lb/>
              minuer à meſure que les revêtemens ſont plus élevés; </s>
              <s xml:id="echoid-s5670" xml:space="preserve">c’eſt auſſi
                <lb/>
              ce que l’on voit dans toutes les colomnes, puiſque les derniers
                <lb/>
              nombres ſont plus petits à proportion que les premiers, ce qui m’a-</s>
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