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				IMSS - VII.6. Optics, mechanics and hydraulics in the Codex Arundel (1503-1506)</title>
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<td align="center"><img src="http://vitruvio.imss.fi.it/foto/mdl/VII_6rs.jpg" name="ingrandimento" alt="VII.6" border="1" class="leoimggalleria"></td>
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<td width="240" colspan="3" align="left"><span><span id="Filmato"></span></span><br><span class="leotitoloimmag"><span id="testoTitolo">VII.6</span></span><span class="leodidascalia"><span id="testoDida"><br>Leonardo da Vinci<br/>Cod. Arundel, 87v-86r (P65v)<br/>London, The British Library</span></span></td>
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<td><span class="parent-liv1">[</span><span class="numeri-liv2">VII.6</span>  <span class="titolo-liv2">Optics, mechanics and hydraulics in the Codex Arundel (1503-1506)</span><span class="parent-liv1">]</span></td>
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<p><campo tipocampo="T" nome="txtxml" style=""><div class="Section1" xmlns:w="http://schemas.microsoft.com/office/word/2003/wordml" xmlns:o="urn:schemas-microsoft-com:office:office" xmlns:v="urn:schemas-microsoft-com:vml" xmlns:WX="http://schemas.microsoft.com/office/word/2003/auxHint" xmlns:aml="http://schemas.microsoft.com/aml/2001/core" xmlns:w10="urn:schemas-microsoft-com:office:word">
<p class="Normal-P" style="text-align:justify;text-justify:inter-ideograph;"><span class="Normal-H">Leonardo&#8217;s original five double folios exhibited here belong to the vast core of technical and scientific studies in the Codex Arundel dating from the time of the <span style="font-style:italic;">Battle of </span><span style="font-style:italic;">Anghiari</span>. Leonardo here analyzes the theory and practice of burning mirrors, for which he foresees promising possibilities of exploitation on the industrial and military level. He also engages in defining projects for straightening the course of the Arno where it passes through Florence and for deviating the river by channeling it toward the plain of Prato and Pistoia, thus making it navigable. Such initiatives would have again generated huge economic benefits. Lastly, Leonardo makes innovative reflections on mechanics and on the flight of birds.</span></p>
<p class="Normal-P" style="text-align:justify;text-justify:inter-ideograph;"><span class="Normal-H">If we add to the themes dealt with in these five double folios the evidence of his contemporary intense application to the study of geometry (the transformation of solids and the squaring of plane figures in particular), to cartographic production, to engineering, to geological studies, and to anatomy, we can fully appreciate the dimension of the horizons of Leonardo&#8217;s research between 1503 and 1506, in spite of his demanding commitment to the great pictorial undertaking of the <span style="font-style:italic;">Battle of </span><span style="font-style:italic;">Anghiari</span>.</span></p>
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<pre><img src="images/spacer.gif" alt="0" width="47" height="60" align="absmiddle"><img src="http://vitruvio.imss.fi.it/foto/mdl/VII_6r.gif" alt="VII.6" name="img00" hspace="2" align="absmiddle" onclick="cambiaImg(0,'http://vitruvio.imss.fi.it/foto/mdl/VII_6rs.jpg', aggiustaApici('Leonardo da Vinci<br/>Cod. Arundel, 87v-86r (P65v)<br/>London, The British Library'), aggiustaApici('VII.6'), '')" style="cursor:pointer; border-color:#98907d" onmouseover="cambiaBordo('http://vitruvio.imss.fi.it/foto/mdl/VII_6r.gif', true)" onmouseout="cambiaBordo('http://vitruvio.imss.fi.it/foto/mdl/VII_6r.gif', false)" border="1"><script>
				totIcone++;
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<pre><img src="images/a.gif" alt="a" width="47" height="60" align="absmiddle"><img src="http://vitruvio.imss.fi.it/foto/mdl/VII_6_ar.gif" alt="VII.6.a" name="img0a" hspace="2" align="absmiddle" onclick="cambiaImg(0,'http://vitruvio.imss.fi.it/foto/mdl/VII_6_ars.jpg', aggiustaApici('Leonardo da Vinci<br/>Studies on burning mirrors and on lathe for mirrors<br/>London, British Library<br/>Codex Arundel, ff. 84v &#8211; 88r (P64v)<br/>Pen and ink; c. 1504<br/><br/>Left-hand sheet: diagram of concave mirror of circular section. Leonardo demonstrates that in these mirrors parallel rays of sunlight are not reflected at a single point. For this reason, hemispherical reflecting surfaces do not provide the best solution for burning mirrors. On the lower part of the sheet, a machine for producing concave mirrors.<br/>Right-hand sheet: concave mirror with non-spherical curvature, geometrically constructed so that all of the reflected rays converge on the same point. This results in a burning mirror of maximum efficiency.'), aggiustaApici('VII.6.a'), '')" style="cursor:pointer; border-color:#98907d" onmouseover="cambiaBordo('http://vitruvio.imss.fi.it/foto/mdl/VII_6_ar.gif', true)" onmouseout="cambiaBordo('http://vitruvio.imss.fi.it/foto/mdl/VII_6_ar.gif', false)" border="1"><script>
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				didascalie[totIcone]='Leonardo da Vinci<br/>Studies on burning mirrors and on lathe for mirrors<br/>London, British Library<br/>Codex Arundel, ff. 84v &#8211; 88r (P64v)<br/>Pen and ink; c. 1504<br/><br/>Left-hand sheet: diagram of concave mirror of circular section. Leonardo demonstrates that in these mirrors parallel rays of sunlight are not reflected at a single point. For this reason, hemispherical reflecting surfaces do not provide the best solution for burning mirrors. On the lower part of the sheet, a machine for producing concave mirrors.<br/>Right-hand sheet: concave mirror with non-spherical curvature, geometrically constructed so that all of the reflected rays converge on the same point. This results in a burning mirror of maximum efficiency.';
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				filmato[totIcone]='';
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<pre><img src="images/b.gif" alt="b" width="47" height="60" align="absmiddle"><img src="http://vitruvio.imss.fi.it/foto/mdl/VII_6_b_apice1r.gif" alt="VII.6.b1" name="img0b" hspace="2" align="absmiddle" onclick="cambiaImg(0,'http://vitruvio.imss.fi.it/foto/mdl/VII_6_b_apice1rs.jpg', aggiustaApici('Leonardo da Vinci<br/>Studies on mechanics and optics<br/>London, British Library<br/>Codex Arundel, ff. 93v &#8211; 79r (P85r)<br/>Pen and ink; 1504 c.<br/><br/>Left-hand sheet: study of the formation of images reflected in water according to the position from which they are observed.<br/>Right-hand sheet: notes and drawings on the inalterability of the condition of equilibrium of mechanical systems when equal weights are added (or removed).'), aggiustaApici('VII.6.b1'), '')" style="cursor:pointer; border-color:#98907d" onmouseover="cambiaBordo('http://vitruvio.imss.fi.it/foto/mdl/VII_6_b_apice1r.gif', true)" onmouseout="cambiaBordo('http://vitruvio.imss.fi.it/foto/mdl/VII_6_b_apice1r.gif', false)" border="1"><script>
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				didascalie[totIcone]='Leonardo da Vinci<br/>Studies on mechanics and optics<br/>London, British Library<br/>Codex Arundel, ff. 93v &#8211; 79r (P85r)<br/>Pen and ink; 1504 c.<br/><br/>Left-hand sheet: study of the formation of images reflected in water according to the position from which they are observed.<br/>Right-hand sheet: notes and drawings on the inalterability of the condition of equilibrium of mechanical systems when equal weights are added (or removed).';
				titolo[totIcone]='VII.6.b1';
				chiaveImm[totIcone]='23398';
				filmato[totIcone]='';
			</script><img src="http://vitruvio.imss.fi.it/foto/mdl/VII_6_b_apice2r.gif" alt="VII.6.b2" name="img1b" hspace="2" align="absmiddle" onclick="cambiaImg(1,'http://vitruvio.imss.fi.it/foto/mdl/VII_6_b_apice2rs.jpg', aggiustaApici('Leonardo da Vinci<br/>Studies on mechanics and optics<br/>London, British Library<br/>Codex Arundel, ff. 79v-93r (P85v)<br/>Pen and ink; 1504 c.<br/><br/>Left-hand sheet: drawings of &quot;mechanical elements&quot;, probably for the treatise that Leonardo planned to dedicate to the principles of mechanics.<br/>Right-hand sheet: study on the ratio between degrees of impetus and corresponding degrees of percussion; records of units of the Florentine measurement system.'), aggiustaApici('VII.6.b2'), '')" style="cursor:pointer; border-color:#98907d" onmouseover="cambiaBordo('http://vitruvio.imss.fi.it/foto/mdl/VII_6_b_apice2r.gif', true)" onmouseout="cambiaBordo('http://vitruvio.imss.fi.it/foto/mdl/VII_6_b_apice2r.gif', false)" border="1"><script>
				totIcone++;
				pathImm["img"+totIcone] = 'http://vitruvio.imss.fi.it/foto/mdl/VII_6_b_apice2rs.jpg';
				didascalie[totIcone]='Leonardo da Vinci<br/>Studies on mechanics and optics<br/>London, British Library<br/>Codex Arundel, ff. 79v-93r (P85v)<br/>Pen and ink; 1504 c.<br/><br/>Left-hand sheet: drawings of "mechanical elements", probably for the treatise that Leonardo planned to dedicate to the principles of mechanics.<br/>Right-hand sheet: study on the ratio between degrees of impetus and corresponding degrees of percussion; records of units of the Florentine measurement system.';
				titolo[totIcone]='VII.6.b2';
				chiaveImm[totIcone]='23399';
				filmato[totIcone]='';
			</script></pre>
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<li class="leoanteprime">
<pre><img src="images/c.gif" alt="c" width="47" height="60" align="absmiddle"><img src="http://vitruvio.imss.fi.it/foto/mdl/VII_6_c_apice1r.gif" alt="VII.6.c1" name="img0c" hspace="2" align="absmiddle" onclick="cambiaImg(0,'http://vitruvio.imss.fi.it/foto/mdl/VII_6_c_apice1rs.jpg', aggiustaApici('Leonardo da Vinci<br/>Studies for channeling the Arno<br/>London, British Library<br/>Codex Arundel,ff. 277v-272r (P79r)<br/>Red crayon, pen and ink; 1503-4<br/><br/>Left-hand sheet: Leonardo draws the pile-driver needed to sink embankments in the water in order to correct the natural course of the Arno and to straighten it. The long note describes the best method for laying foundations and barrages for piles in the water.<br/>Right-hand sheet: fluvial planimetries relevant to the section of the Arno passing through Florence, in proximity to Ponte alla Carraia. On this folio Leonardo records the death of his father, Ser Piero da Vinci, which occurred on the date of 9 July 1504.'), aggiustaApici('VII.6.c1'), '')" style="cursor:pointer; border-color:#98907d" onmouseover="cambiaBordo('http://vitruvio.imss.fi.it/foto/mdl/VII_6_c_apice1r.gif', true)" onmouseout="cambiaBordo('http://vitruvio.imss.fi.it/foto/mdl/VII_6_c_apice1r.gif', false)" border="1"><script>
				totIcone++;
				pathImm["img"+totIcone] = 'http://vitruvio.imss.fi.it/foto/mdl/VII_6_c_apice1rs.jpg';
				didascalie[totIcone]='Leonardo da Vinci<br/>Studies for channeling the Arno<br/>London, British Library<br/>Codex Arundel,ff. 277v-272r (P79r)<br/>Red crayon, pen and ink; 1503-4<br/><br/>Left-hand sheet: Leonardo draws the pile-driver needed to sink embankments in the water in order to correct the natural course of the Arno and to straighten it. The long note describes the best method for laying foundations and barrages for piles in the water.<br/>Right-hand sheet: fluvial planimetries relevant to the section of the Arno passing through Florence, in proximity to Ponte alla Carraia. On this folio Leonardo records the death of his father, Ser Piero da Vinci, which occurred on the date of 9 July 1504.';
				titolo[totIcone]='VII.6.c1';
				chiaveImm[totIcone]='23400';
				filmato[totIcone]='';
			</script><img src="http://vitruvio.imss.fi.it/foto/mdl/VII_6_c_apice2r.gif" alt="VII.6.c2" name="img1c" hspace="2" align="absmiddle" onclick="cambiaImg(1,'http://vitruvio.imss.fi.it/foto/mdl/VII_6_c_apice2rs.jpg', aggiustaApici('Leonardo da Vinci<br/>Studies for channeling the Arno<br/>London, British Library<br/>Codex Arundel, ff. 272v-277r (P79v)<br/>Red crayon, pen and ink; 1503-4<br/><br/>Left-hand sheet: measurements of the Arno riverbank in proximity to Ponte alla Carraia and records of personal expenses.<br/>Right-hand sheet: analysis of how birds fly &quot;without beating their wings&quot;.'), aggiustaApici('VII.6.c2'), '')" style="cursor:pointer; border-color:#98907d" onmouseover="cambiaBordo('http://vitruvio.imss.fi.it/foto/mdl/VII_6_c_apice2r.gif', true)" onmouseout="cambiaBordo('http://vitruvio.imss.fi.it/foto/mdl/VII_6_c_apice2r.gif', false)" border="1"><script>
				totIcone++;
				pathImm["img"+totIcone] = 'http://vitruvio.imss.fi.it/foto/mdl/VII_6_c_apice2rs.jpg';
				didascalie[totIcone]='Leonardo da Vinci<br/>Studies for channeling the Arno<br/>London, British Library<br/>Codex Arundel, ff. 272v-277r (P79v)<br/>Red crayon, pen and ink; 1503-4<br/><br/>Left-hand sheet: measurements of the Arno riverbank in proximity to Ponte alla Carraia and records of personal expenses.<br/>Right-hand sheet: analysis of how birds fly "without beating their wings".';
				titolo[totIcone]='VII.6.c2';
				chiaveImm[totIcone]='23401';
				filmato[totIcone]='';
			</script></pre>
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<pre><img src="images/d.gif" alt="d" width="47" height="60" align="absmiddle"><img src="http://vitruvio.imss.fi.it/foto/mdl/VII_6_d_apice1r.gif" alt="VII.6.d1" name="img0d" hspace="2" align="absmiddle" onclick="cambiaImg(0,'http://vitruvio.imss.fi.it/foto/mdl/VII_6_d_apice1rs.jpg', aggiustaApici('Leonardo da Vinci<br/>Studies for channeling the Arno and on the motion of the wind<br/>London, British Library<br/>Codex Arundel, ff. 276v-273r (P80r)<br/>Pen and ink with touches of red crayon; 1503-4<br/><br/>Left-hand sheet: study of &quot;skirmishes&quot; among winds blowing against one another.<br/>Right-hand sheet: study relevant to the project for channeling the Arno, by deviating its course, at the height of its confluence with the Mugnone, toward the plain of Prato and Pistoia, so as to make it navigable.'), aggiustaApici('VII.6.d1'), '')" style="cursor:pointer; border-color:#98907d" onmouseover="cambiaBordo('http://vitruvio.imss.fi.it/foto/mdl/VII_6_d_apice1r.gif', true)" onmouseout="cambiaBordo('http://vitruvio.imss.fi.it/foto/mdl/VII_6_d_apice1r.gif', false)" border="1"><script>
				totIcone++;
				pathImm["img"+totIcone] = 'http://vitruvio.imss.fi.it/foto/mdl/VII_6_d_apice1rs.jpg';
				didascalie[totIcone]='Leonardo da Vinci<br/>Studies for channeling the Arno and on the motion of the wind<br/>London, British Library<br/>Codex Arundel, ff. 276v-273r (P80r)<br/>Pen and ink with touches of red crayon; 1503-4<br/><br/>Left-hand sheet: study of "skirmishes" among winds blowing against one another.<br/>Right-hand sheet: study relevant to the project for channeling the Arno, by deviating its course, at the height of its confluence with the Mugnone, toward the plain of Prato and Pistoia, so as to make it navigable.';
				titolo[totIcone]='VII.6.d1';
				chiaveImm[totIcone]='23402';
				filmato[totIcone]='';
			</script><img src="http://vitruvio.imss.fi.it/foto/mdl/VII_6_d_apice2r.gif" alt="VII.6.d2" name="img1d" hspace="2" align="absmiddle" onclick="cambiaImg(1,'http://vitruvio.imss.fi.it/foto/mdl/VII_6_d_apice2rs.jpg', aggiustaApici('Leonardo da Vinci<br/>Studies for channeling the Arno and on the motion of the wind<br/>London, British Library<br/>Codex Arundel, ff. 273v-276r (P80v)<br/>Pen and ink with touches of red crayon; 1503-4<br/><br/>Left-hand sheet: map showing positions and measurements of the four bridges (from east to west: Carraia, S. Trinita, Ponte Vecchio, Rubaconte &#8211; today|s Ponte alle Grazie) that linked the two sides of the river at Florence in the early 16th century.<br/>Right-hand sheet: studies on motions of the winds and of air currents.'), aggiustaApici('VII.6.d2'), '')" style="cursor:pointer; border-color:#98907d" onmouseover="cambiaBordo('http://vitruvio.imss.fi.it/foto/mdl/VII_6_d_apice2r.gif', true)" onmouseout="cambiaBordo('http://vitruvio.imss.fi.it/foto/mdl/VII_6_d_apice2r.gif', false)" border="1"><script>
				totIcone++;
				pathImm["img"+totIcone] = 'http://vitruvio.imss.fi.it/foto/mdl/VII_6_d_apice2rs.jpg';
				didascalie[totIcone]='Leonardo da Vinci<br/>Studies for channeling the Arno and on the motion of the wind<br/>London, British Library<br/>Codex Arundel, ff. 273v-276r (P80v)<br/>Pen and ink with touches of red crayon; 1503-4<br/><br/>Left-hand sheet: map showing positions and measurements of the four bridges (from east to west: Carraia, S. Trinita, Ponte Vecchio, Rubaconte &#8211; today|s Ponte alle Grazie) that linked the two sides of the river at Florence in the early 16th century.<br/>Right-hand sheet: studies on motions of the winds and of air currents.';
				titolo[totIcone]='VII.6.d2';
				chiaveImm[totIcone]='23403';
				filmato[totIcone]='';
			</script></pre>
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<li class="leoanteprime">
<pre><img src="images/e.gif" alt="e" width="47" height="60" align="absmiddle"><img src="http://vitruvio.imss.fi.it/foto/mdl/VII_6_e_apice1r.gif" alt="VII.6.e1" name="img0e" hspace="2" align="absmiddle" onclick="cambiaImg(0,'http://vitruvio.imss.fi.it/foto/mdl/VII_6_e_apice1rs.jpg', aggiustaApici('Leonardo da Vinci<br/>Study for channeling the Arno<br/>London, British Library<br/>Codex Arundel, ff. 271v-278r (P78v)<br/>Red crayon, pen and ink; 1503-4<br/><br/>Left-hand sheet: study of the action exerted by currents on stones situated on riverbeds.<br/>Right-hand sheet: red chalk drawings of modular embankments to correct the natural course of the Arno. These studies were linked to the project for straightening the course of the river.'), aggiustaApici('VII.6.e1'), '')" style="cursor:pointer; border-color:#98907d" onmouseover="cambiaBordo('http://vitruvio.imss.fi.it/foto/mdl/VII_6_e_apice1r.gif', true)" onmouseout="cambiaBordo('http://vitruvio.imss.fi.it/foto/mdl/VII_6_e_apice1r.gif', false)" border="1"><script>
				totIcone++;
				pathImm["img"+totIcone] = 'http://vitruvio.imss.fi.it/foto/mdl/VII_6_e_apice1rs.jpg';
				didascalie[totIcone]='Leonardo da Vinci<br/>Study for channeling the Arno<br/>London, British Library<br/>Codex Arundel, ff. 271v-278r (P78v)<br/>Red crayon, pen and ink; 1503-4<br/><br/>Left-hand sheet: study of the action exerted by currents on stones situated on riverbeds.<br/>Right-hand sheet: red chalk drawings of modular embankments to correct the natural course of the Arno. These studies were linked to the project for straightening the course of the river.';
				titolo[totIcone]='VII.6.e1';
				chiaveImm[totIcone]='23404';
				filmato[totIcone]='';
			</script><img src="http://vitruvio.imss.fi.it/foto/mdl/VII_6_e_apice2r.gif" alt="VII.6.e2" name="img1e" hspace="2" align="absmiddle" onclick="cambiaImg(1,'http://vitruvio.imss.fi.it/foto/mdl/VII_6_e_apice2rs.jpg', aggiustaApici('Leonardo da Vinci<br/>Study for channeling the Arno<br/>London, British Library<br/>Codex Arundel, ff. 278v-271r (P78v)<br/>Red crayon, pen and ink; 1503-4<br/><br/>Left-hand sheet: study of waves and whirlpools produced by variations in riverbeds.<br/>Right-hand sheet: study relevant to the project for straightening the course of the Arno in the section that flows through Florence, so as to make it navigable. Leonardo observes with particular attention the effects produced on the riverbanks and the bed of the Arno by the confluence of its tributaries.'), aggiustaApici('VII.6.e2'), '')" style="cursor:pointer; border-color:#98907d" onmouseover="cambiaBordo('http://vitruvio.imss.fi.it/foto/mdl/VII_6_e_apice2r.gif', true)" onmouseout="cambiaBordo('http://vitruvio.imss.fi.it/foto/mdl/VII_6_e_apice2r.gif', false)" border="1"><script>
				totIcone++;
				pathImm["img"+totIcone] = 'http://vitruvio.imss.fi.it/foto/mdl/VII_6_e_apice2rs.jpg';
				didascalie[totIcone]='Leonardo da Vinci<br/>Study for channeling the Arno<br/>London, British Library<br/>Codex Arundel, ff. 278v-271r (P78v)<br/>Red crayon, pen and ink; 1503-4<br/><br/>Left-hand sheet: study of waves and whirlpools produced by variations in riverbeds.<br/>Right-hand sheet: study relevant to the project for straightening the course of the Arno in the section that flows through Florence, so as to make it navigable. Leonardo observes with particular attention the effects produced on the riverbanks and the bed of the Arno by the confluence of its tributaries.';
				titolo[totIcone]='VII.6.e2';
				chiaveImm[totIcone]='23405';
				filmato[totIcone]='';
			</script></pre>
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