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203 lines
7.2 KiB
HTML
203 lines
7.2 KiB
HTML
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<head>
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<title>Cross Sections</title>
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<h1 align="center">Cross Sections</h1>
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<p>A cross section is the <b>shape</b> we get when cutting straight through an object.
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<br /> </p>
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<table border="0" align="center">
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<tr>
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<td><img src="images/prism-cross-section.jpg" alt="cross section of prism" width="173" height="186" /></td>
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<td valign="top">
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<p>
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<br />
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<br /> The cross section of this object is a <b>triangle</b>.</p>
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<p> </p>
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</td>
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</tr>
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</table>
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<p>It is like a view into the <b>inside</b> of something made by cutting through it. </p>
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<table border="0" align="center">
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<tr>
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<td>This is a cross-section of a piece of celery. </td>
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<td><img src="images/celery-cross-section.jpg" alt="cross-section of a piece of celery" width="200" height="150" /></td>
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</tr>
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</table>
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<h2>Geometry</h2>
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<p>In <a href="index.html">geometry</a> it is the shape made when a solid is cut through by a <a href="plane.html">plane</a>.</p>
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<div class="example">
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<p style="float:right; margin: 0 0 5px 10px;"><img src="images/cylinder-cross-section.svg" alt="cylinder cross section" /></p>
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<h3>Example: </h3>
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<p>The cross section of this circular <a href="cylinder.html">cylinder</a> is a <b>circle</b></p>
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<div style="clear:both"></div>
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</div>
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<p> </p>
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<p>We don't draw the rest of the object, just the <b>shape</b> made when you cut through.</p>
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<div class="example">
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<p style="float:right; margin: 0 0 5px 10px;"><img src="images/pyramid-cross-section.svg" alt="cross-section of a pyramid" /></p>
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<h3>Example: </h3>
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<p>The cross section of a rectangular <a href="pyramids.html">pyramid</a> is a rectangle</p>
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<div style="clear:both"></div>
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</div>
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<p> </p>
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<p>Cross sections are usually parallel to the base like above, but <b>can be in any direction</b>. </p>
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<div class="example">
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<h3>Example: </h3>
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<p style="float:right; margin: 0 0 5px 10px;"><img src="images/torus-cross-section.svg" alt="torus cross section" /></p>
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<p>The <b>vertical</b> cross section through the center of this <a href="torus.html">torus</a> is two circles!</p>
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<div style="clear:both"></div>
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<p style="float:left; margin: 0 10px 5px 0;"><img src="images/torus-hor-cross-section.svg" alt="torus horizontal cross section" /></p>
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<p>And the <b>horizontal</b> cross section is an <a href="annulus.html">annulus</a></p>
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<div style="clear:both"></div>
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</div>
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<h2>More Examples of Cross Sections</h2>
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<div class="clear">
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<table border="0" align="center">
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<tr align="center">
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<td class="large" colspan="2">
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<hr /> </td>
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</tr>
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<tr align="center">
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<td class="large">Square Prism:</td>
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<td class="large">Cross-Section:</td>
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</tr>
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<tr align="center">
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<td><img src="images/square-prism.png" width="182" height="122" alt="square prism" /></td>
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<td><img src="images/square.svg" alt="square" /></td>
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</tr>
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<tr align="center">
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<td colspan="2" class="large">
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<hr /> </td>
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</tr>
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<tr align="center">
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<td class="large">Cube:</td>
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<td class="large">Cross-Section:</td>
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</tr>
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<tr align="center">
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<td><img src="images/cube.svg" alt="cube" /></td>
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<td><img src="images/square.svg" alt="square" /></td>
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</tr>
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<tr align="center">
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<td colspan="2" class="large">
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<hr /> </td>
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</tr>
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<tr align="center">
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<td class="large">Pentagonal Prism:</td>
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<td class="large">Cross-Section:</td>
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</tr>
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<tr align="center">
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<td>
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<br /> <img src="images/pentagonal-prism.png" width="175" height="106" alt="pentagonal prism" /></td>
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<td><img src="images/pentagon.svg" alt="pentagon" /></td>
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</tr>
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<tr align="center">
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<td height="22" colspan="2">
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<hr /> </td>
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</tr>
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</table>
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</div>
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<p> </p>
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<div class="related"> <a href="polyhedron.html">Polyhedron</a> <a href="cuboids-rectangular-prisms.html">Cuboids / Rectangular Prisms</a> <a href="../platonic_solids.html">Platonic Solids</a> <a href="cylinder.html">Cylinder</a> <a href="cone.html">Cone</a> <a href="sphere.html">Sphere</a> <a href="torus.html">Torus</a></div>
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