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

Table of figures

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[71] 8
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[72] 9
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[73] 10C B D A
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[74] 10c b d a
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[75] 11B A C
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[76] 11B C A D
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[77] 12
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[78] 13
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[79] 14
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[80] 15
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[81] 16
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[82] 17
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[83] 18
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[84] 19
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[85] 19
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[86] 20
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[87] 20
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[88] 21
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[89] 21
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[90] 21
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[91] 22
Page: 410
[92] 22
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[93] 22
Page: 410
[94] 23
Page: 410
[95] 23
Page: 410
[96] A
Page: 411
[97] A
Page: 411
[98] A
Page: 411
[99] BDemy Pied du Roy 1 2 3 4 5 6
Page: 411
[100] C
Page: 411
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            <s xml:id="echoid-s4114" xml:space="preserve">
              <pb o="124" file="138" n="138" rhead="CONSTRUCTION ET USAGES DES INSTRUM."/>
            auſſi long que la diſtance AB, que l'on pliera en deux, plantez le
              <lb/>
            piquet C, au milieu, & </s>
            <s xml:id="echoid-s4115" xml:space="preserve">la ligne CF, ſera perpendiculaire ſur AB.</s>
            <s xml:id="echoid-s4116" xml:space="preserve"/>
          </p>
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        <div xml:id="echoid-div358" type="section" level="1" n="163">
          <head xml:id="echoid-head245" xml:space="preserve">USAGE V.</head>
          <head xml:id="echoid-head246" style="it" xml:space="preserve">D'une diſtance donnée tracer une ligne parallele à une donnée.</head>
          <p>
            <s xml:id="echoid-s4117" xml:space="preserve">
              <lb/>
              <note position="left" xlink:label="note-138-01" xlink:href="note-138-01a" xml:space="preserve">Fig. 4.</note>
            SOit la ligne donnée AB, à laquelle on propoſe de tracer une
              <lb/>
            parallele diſtante de quatre toiſes.</s>
            <s xml:id="echoid-s4118" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s4119" xml:space="preserve">Tracez par l'Uſage troiſiéme deux perpendiculaires de quatre
              <lb/>
            toiſes chacune, ſur les deux points A & </s>
            <s xml:id="echoid-s4120" xml:space="preserve">B plantez un piquet à cha-
              <lb/>
            cune de leurs extremitez C & </s>
            <s xml:id="echoid-s4121" xml:space="preserve">D, & </s>
            <s xml:id="echoid-s4122" xml:space="preserve">par ces deux piquets tracez la
              <lb/>
            droite CD, elle ſera parallele à AB.</s>
            <s xml:id="echoid-s4123" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div360" type="section" level="1" n="164">
          <head xml:id="echoid-head247" xml:space="preserve">USAGE VI.</head>
          <head xml:id="echoid-head248" style="it" xml:space="preserve">D'un point donné ſur le bout d'une ligne tracer ſur le terrain un
            <lb/>
          angle ſemblable à celui d'un Plan propoſé.</head>
          <p>
            <s xml:id="echoid-s4124" xml:space="preserve">
              <lb/>
              <note position="left" xlink:label="note-138-02" xlink:href="note-138-02a" xml:space="preserve">Fig. 5.</note>
            SOit ABC, l'Angle d'un Plan propoſé auquel on en veut faire
              <lb/>
            un ſemblable ſur le terrain.</s>
            <s xml:id="echoid-s4125" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s4126" xml:space="preserve">Du point B, comme centre, décrivez ſur le papier l'Arc AC, & </s>
            <s xml:id="echoid-s4127" xml:space="preserve">
              <lb/>
            tirez la droite AD, qui ſera ſoûtendante dudit Arc. </s>
            <s xml:id="echoid-s4128" xml:space="preserve">Meſurez ſur
              <lb/>
            une Echelle, ou ſur la lïgne des parties égales d'un compas de pro-
              <lb/>
            portion une des jambes egales dudit Angle AB ou BC. </s>
            <s xml:id="echoid-s4129" xml:space="preserve">Meſurez
              <lb/>
            auſſi ſur la même Echelle la ſoûtendante AC, laquelle je ſuppoſe
              <lb/>
            par exemple, contenir trente-ſix parties égales à celle dont la jam-
              <lb/>
            be AB en contient trente.</s>
            <s xml:id="echoid-s4130" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s4131" xml:space="preserve">Soit ſur la terre une ligne droite comme BC, ſur laquelle il faut
              <lb/>
            tracer une autre ligne FB, qui faſſe un angle ſemblable au propo-
              <lb/>
            ſé. </s>
            <s xml:id="echoid-s4132" xml:space="preserve">Plantez un piquet au point B, & </s>
            <s xml:id="echoid-s4133" xml:space="preserve">ayant meſuré trente pieds ou
              <lb/>
            cinq toiſes le long de la ligne BC, plantez-y un autre piquet,
              <lb/>
            comme D; </s>
            <s xml:id="echoid-s4134" xml:space="preserve">ayez deux cordeaux, l'un de trente pieds de long que
              <lb/>
            vous attacherez par un anneau au piquet B, & </s>
            <s xml:id="echoid-s4135" xml:space="preserve">l'autre de trente-
              <lb/>
            ſix pieds, que vous attacherez auſſi par un anneau au piquet D.
              <lb/>
            </s>
            <s xml:id="echoid-s4136" xml:space="preserve">Tendez ces deux cordeaux juſqu'à ce qu'ils ſe joignent par leurs
              <lb/>
            extremitez au point F, où vous planterez encore un piquet, d'où
              <lb/>
            vous tracerez la ligne FB, laquelle formera au point B, l'angle
              <lb/>
            ſemblable au propoſé avec la ligne BC; </s>
            <s xml:id="echoid-s4137" xml:space="preserve">& </s>
            <s xml:id="echoid-s4138" xml:space="preserve">ainſi de l'autre.</s>
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