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<!DOCTYPE html>
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Module: Geom — SketchUp Ruby API Documentation
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<span class="title">Geom</span>
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<div id="content"><h1>Module: Geom
</h1>
<div class="box_info">
</div>
<h2>Overview</h2><div class="docstring">
<div class="discussion">
<div class="note notetag">
<strong>Note:</strong>
<div class='inline'>
<p>Lines and Planes are infinite.</p>
</div>
</div>
<p>The Geom module defines a number of Module methods that let you perform different geometric operations.</p>
<p>The methods in this module take lines and planes as arguments. There is no special class for representing lines or planes. Arrays are used for both.</p>
<p>A line can be represented as either an Array of a point and a vector, or as an Array of two points.</p>
<pre class="code ruby"><code class="ruby"><span class='id identifier rubyid_line1'>line1</span> <span class='op'>=</span> <span class='lbracket'>[</span><span class='const'>Geom</span><span class='op'>::</span><span class='const'><span class='object_link'><a href="Geom/Point3d.html" title="Geom::Point3d (class)">Point3d</a></span></span><span class='period'>.</span><span class='id identifier rubyid_new'><span class='object_link'><a href="Geom/Point3d.html#initialize-instance_method" title="Geom::Point3d#initialize (method)">new</a></span></span><span class='lparen'>(</span><span class='int'>0</span><span class='comma'>,</span> <span class='int'>0</span><span class='comma'>,</span> <span class='int'>0</span><span class='rparen'>)</span><span class='comma'>,</span> <span class='const'>Geom</span><span class='op'>::</span><span class='const'><span class='object_link'><a href="Geom/Vector3d.html" title="Geom::Vector3d (class)">Vector3d</a></span></span><span class='period'>.</span><span class='id identifier rubyid_new'><span class='object_link'><a href="Geom/Vector3d.html#initialize-instance_method" title="Geom::Vector3d#initialize (method)">new</a></span></span><span class='lparen'>(</span><span class='int'>0</span><span class='comma'>,</span> <span class='int'>0</span><span class='comma'>,</span> <span class='int'>1</span><span class='rparen'>)</span><span class='rbracket'>]</span>
<span class='id identifier rubyid_line2'>line2</span> <span class='op'>=</span> <span class='lbracket'>[</span><span class='const'>Geom</span><span class='op'>::</span><span class='const'><span class='object_link'><a href="Geom/Point3d.html" title="Geom::Point3d (class)">Point3d</a></span></span><span class='period'>.</span><span class='id identifier rubyid_new'><span class='object_link'><a href="Geom/Point3d.html#initialize-instance_method" title="Geom::Point3d#initialize (method)">new</a></span></span><span class='lparen'>(</span><span class='int'>0</span><span class='comma'>,</span> <span class='int'>0</span><span class='comma'>,</span> <span class='int'>0</span><span class='rparen'>)</span><span class='comma'>,</span> <span class='const'>Geom</span><span class='op'>::</span><span class='const'><span class='object_link'><a href="Geom/Point3d.html" title="Geom::Point3d (class)">Point3d</a></span></span><span class='period'>.</span><span class='id identifier rubyid_new'><span class='object_link'><a href="Geom/Point3d.html#initialize-instance_method" title="Geom::Point3d#initialize (method)">new</a></span></span><span class='lparen'>(</span><span class='int'>0</span><span class='comma'>,</span> <span class='int'>0</span><span class='comma'>,</span> <span class='int'>100</span><span class='rparen'>)</span><span class='rbracket'>]</span>
</code></pre>
<p>A plane can be represented as either an Array of a point and a vector, or as an Array of 4 numbers that give the coefficients of a plane equation.</p>
<pre class="code ruby"><code class="ruby"><span class='id identifier rubyid_plane1'>plane1</span> <span class='op'>=</span> <span class='lbracket'>[</span><span class='const'>Geom</span><span class='op'>::</span><span class='const'><span class='object_link'><a href="Geom/Point3d.html" title="Geom::Point3d (class)">Point3d</a></span></span><span class='period'>.</span><span class='id identifier rubyid_new'><span class='object_link'><a href="Geom/Point3d.html#initialize-instance_method" title="Geom::Point3d#initialize (method)">new</a></span></span><span class='lparen'>(</span><span class='int'>0</span><span class='comma'>,</span> <span class='int'>0</span><span class='comma'>,</span> <span class='int'>0</span><span class='rparen'>)</span><span class='comma'>,</span> <span class='const'>Geom</span><span class='op'>::</span><span class='const'><span class='object_link'><a href="Geom/Vector3d.html" title="Geom::Vector3d (class)">Vector3d</a></span></span><span class='period'>.</span><span class='id identifier rubyid_new'><span class='object_link'><a href="Geom/Vector3d.html#initialize-instance_method" title="Geom::Vector3d#initialize (method)">new</a></span></span><span class='lparen'>(</span><span class='int'>0</span><span class='comma'>,</span> <span class='int'>0</span><span class='comma'>,</span> <span class='int'>1</span><span class='rparen'>)</span><span class='rbracket'>]</span>
<span class='id identifier rubyid_plane2'>plane2</span> <span class='op'>=</span> <span class='lbracket'>[</span><span class='int'>0</span><span class='comma'>,</span> <span class='int'>0</span><span class='comma'>,</span> <span class='int'>1</span><span class='comma'>,</span> <span class='int'>0</span><span class='rbracket'>]</span>
</code></pre>
<p>There are several good books on 3D math if you are new to the concepts of a line, plane, and vector.</p>
</div>
</div>
<div class="tags">
<p class="tag_title">Version:</p>
<ul class="version">
<li>
<div class='inline'>
<p>SketchUp 6.0</p>
</div>
</li>
</ul>
</div><h2>Defined Under Namespace</h2>
<p class="children">
<strong class="classes">Classes:</strong> <span class='object_link'><a href="Geom/BoundingBox.html" title="Geom::BoundingBox (class)">BoundingBox</a></span>, <span class='object_link'><a href="Geom/Bounds2d.html" title="Geom::Bounds2d (class)">Bounds2d</a></span>, <span class='object_link'><a href="Geom/LatLong.html" title="Geom::LatLong (class)">LatLong</a></span>, <span class='object_link'><a href="Geom/OrientedBounds2d.html" title="Geom::OrientedBounds2d (class)">OrientedBounds2d</a></span>, <span class='object_link'><a href="Geom/Point2d.html" title="Geom::Point2d (class)">Point2d</a></span>, <span class='object_link'><a href="Geom/Point3d.html" title="Geom::Point3d (class)">Point3d</a></span>, <span class='object_link'><a href="Geom/PolygonMesh.html" title="Geom::PolygonMesh (class)">PolygonMesh</a></span>, <span class='object_link'><a href="Geom/Transformation.html" title="Geom::Transformation (class)">Transformation</a></span>, <span class='object_link'><a href="Geom/Transformation2d.html" title="Geom::Transformation2d (class)">Transformation2d</a></span>, <span class='object_link'><a href="Geom/UTM.html" title="Geom::UTM (class)">UTM</a></span>, <span class='object_link'><a href="Geom/Vector2d.html" title="Geom::Vector2d (class)">Vector2d</a></span>, <span class='object_link'><a href="Geom/Vector3d.html" title="Geom::Vector3d (class)">Vector3d</a></span>
</p>
<h2>
Class Method Summary
<a
id="class_method_summary"
href="#class_method_summary"
title="Permalink">#</a>
<small><a href="#" class="summary_toggle">collapse</a></small>
</h2>
<ul class="summary">
<li class="public ">
<span class="summary_signature">
<a href="#closest_points-class_method" title="closest_points (class method)">.<strong>closest_points</strong>(line1, line2) ⇒ Array(Geom::Point3d, Geom::Point3d) </a>
</span>
<span class="summary_desc"><div class='inline'>
<p>The <span class='object_link'><a href="#closest_points-class_method" title="Geom.closest_points (method)">Geom.closest_points</a></span> method is used to compute the closest points on two lines.</p>
</div></span>
</li>
<li class="public ">
<span class="summary_signature">
<a href="#fit_plane_to_points-class_method" title="fit_plane_to_points (class method)">.<strong>fit_plane_to_points</strong>(*args) ⇒ Object </a>
</span>
<span class="summary_desc"><div class='inline'>
<p>The <span class='object_link'><a href="#fit_plane_to_points-class_method" title="Geom.fit_plane_to_points (method)">Geom.fit_plane_to_points</a></span> method is used to compute a plane that is a best fit to an array of points.</p>
</div></span>
</li>
<li class="public ">
<span class="summary_signature">
<a href="#intersect_line_line-class_method" title="intersect_line_line (class method)">.<strong>intersect_line_line</strong>(line1, line2) ⇒ Geom::Point3d<sup>?</sup> </a>
</span>
<span class="summary_desc"><div class='inline'>
<p>The <span class='object_link'><a href="#intersect_line_line-class_method" title="Geom.intersect_line_line (method)">Geom.intersect_line_line</a></span> computes the intersection of two lines.</p>
</div></span>
</li>
<li class="public ">
<span class="summary_signature">
<a href="#intersect_line_plane-class_method" title="intersect_line_plane (class method)">.<strong>intersect_line_plane</strong>(line, plane) ⇒ Geom::Point3d<sup>?</sup> </a>
</span>
<span class="summary_desc"><div class='inline'>
<p>The <span class='object_link'><a href="#intersect_line_plane-class_method" title="Geom.intersect_line_plane (method)">Geom.intersect_line_plane</a></span> method is used to compute the intersection of a line and a plane.</p>
</div></span>
</li>
<li class="public ">
<span class="summary_signature">
<a href="#intersect_plane_plane-class_method" title="intersect_plane_plane (class method)">.<strong>intersect_plane_plane</strong>(plane1, plane2) ⇒ Array(Geom::Point3d, Geom::Vector3d) </a>
</span>
<span class="summary_desc"><div class='inline'>
<p>The <span class='object_link'><a href="#intersect_plane_plane-class_method" title="Geom.intersect_plane_plane (method)">Geom.intersect_plane_plane</a></span> method is used to compute the intersection of two planes.</p>
</div></span>
</li>
<li class="public ">
<span class="summary_signature">
<a href="#linear_combination-class_method" title="linear_combination (class method)">.<strong>linear_combination</strong>(weight1, pt_or_vect1, weight2, pt_or_vect2) ⇒ Object </a>
</span>
<span class="summary_desc"><div class='inline'>
<p>The <span class='object_link'><a href="#linear_combination-class_method" title="Geom.linear_combination (method)">Geom.linear_combination</a></span> method is used to compute the linear combination of points or vectors.</p>
</div></span>
</li>
<li class="public ">
<span class="summary_signature">
<a href="#point_in_polygon_2D-class_method" title="point_in_polygon_2D (class method)">.<strong>point_in_polygon_2D</strong>(point, polygon, check_border) ⇒ Boolean </a>
</span>
<span class="summary_desc"><div class='inline'>
<p>The <span class='object_link'><a href="#point_in_polygon_2D-class_method" title="Geom.point_in_polygon_2D (method)">Geom.point_in_polygon_2D</a></span> method is used to determine whether a point is inside a polygon.</p>
</div></span>
</li>
<li class="public ">
<span class="summary_signature">
<a href="#tesselate-class_method" title="tesselate (class method)">.<strong>tesselate</strong>(polygon_loop_points, *inner_loop_points) ⇒ Array<Geom::Point3d> </a>
</span>
<span class="summary_desc"><div class='inline'>
<p>Tessellates a polygon, represented as a collection of 3D points.</p>
</div></span>
</li>
</ul>
<div id="class_method_details" class="method_details_list">
<h2>Class Method Details</h2>
<div class="method_details first">
<h3 class="signature first" id="closest_points-class_method">
<a style="float: right;" href="#header" title="Return to Top">↑</a>
.<strong>closest_points</strong>(line1, line2) ⇒ <tt><span class='object_link'><a href="Array.html" title="Array (class)">Array</a></span>(<span class='object_link'><a href="Geom/Point3d.html" title="Geom::Point3d (class)">Geom::Point3d</a></span>, <span class='object_link'><a href="Geom/Point3d.html" title="Geom::Point3d (class)">Geom::Point3d</a></span>)</tt>
</h3>
<div class="docstring">
<div class="discussion">
<p>The <span class='object_link'><a href="#closest_points-class_method" title="Geom.closest_points (method)">closest_points</a></span> method is used to compute the closest points on two lines.</p>
<p>line.</p>
</div>
</div>
<div class="tags">
<div class="examples">
<h4 class="tag_title">Examples:</h4>
<pre class="example code"><code><span class='id identifier rubyid_line1'>line1</span> <span class='op'>=</span> <span class='lbracket'>[</span><span class='const'><span class='object_link'><a href="" title="Geom (module)">Geom</a></span></span><span class='op'>::</span><span class='const'><span class='object_link'><a href="Geom/Point3d.html" title="Geom::Point3d (class)">Point3d</a></span></span><span class='period'>.</span><span class='id identifier rubyid_new'><span class='object_link'><a href="Geom/Point3d.html#initialize-instance_method" title="Geom::Point3d#initialize (method)">new</a></span></span><span class='lparen'>(</span><span class='int'>0</span><span class='comma'>,</span> <span class='int'>2</span><span class='comma'>,</span> <span class='int'>0</span><span class='rparen'>)</span><span class='comma'>,</span> <span class='const'><span class='object_link'><a href="" title="Geom (module)">Geom</a></span></span><span class='op'>::</span><span class='const'><span class='object_link'><a href="Geom/Vector3d.html" title="Geom::Vector3d (class)">Vector3d</a></span></span><span class='period'>.</span><span class='id identifier rubyid_new'><span class='object_link'><a href="Geom/Vector3d.html#initialize-instance_method" title="Geom::Vector3d#initialize (method)">new</a></span></span><span class='lparen'>(</span><span class='int'>1</span><span class='comma'>,</span> <span class='int'>0</span><span class='comma'>,</span> <span class='int'>0</span><span class='rparen'>)</span><span class='rbracket'>]</span>
<span class='id identifier rubyid_line2'>line2</span> <span class='op'>=</span> <span class='lbracket'>[</span><span class='const'><span class='object_link'><a href="" title="Geom (module)">Geom</a></span></span><span class='op'>::</span><span class='const'><span class='object_link'><a href="Geom/Point3d.html" title="Geom::Point3d (class)">Point3d</a></span></span><span class='period'>.</span><span class='id identifier rubyid_new'><span class='object_link'><a href="Geom/Point3d.html#initialize-instance_method" title="Geom::Point3d#initialize (method)">new</a></span></span><span class='lparen'>(</span><span class='int'>3</span><span class='comma'>,</span> <span class='int'>0</span><span class='comma'>,</span> <span class='int'>0</span><span class='rparen'>)</span><span class='comma'>,</span> <span class='const'><span class='object_link'><a href="" title="Geom (module)">Geom</a></span></span><span class='op'>::</span><span class='const'><span class='object_link'><a href="Geom/Vector3d.html" title="Geom::Vector3d (class)">Vector3d</a></span></span><span class='period'>.</span><span class='id identifier rubyid_new'><span class='object_link'><a href="Geom/Vector3d.html#initialize-instance_method" title="Geom::Vector3d#initialize (method)">new</a></span></span><span class='lparen'>(</span><span class='int'>0</span><span class='comma'>,</span> <span class='int'>1</span><span class='comma'>,</span> <span class='int'>0</span><span class='rparen'>)</span><span class='rbracket'>]</span>
<span class='comment'># This will return a point Point3d(3, 2, 0).
</span><span class='id identifier rubyid_points'>points</span> <span class='op'>=</span> <span class='const'><span class='object_link'><a href="" title="Geom (module)">Geom</a></span></span><span class='period'>.</span><span class='id identifier rubyid_closest_points'>closest_points</span><span class='lparen'>(</span><span class='id identifier rubyid_line1'>line1</span><span class='comma'>,</span> <span class='id identifier rubyid_line2'>line2</span><span class='rparen'>)</span></code></pre>
</div>
<p class="tag_title">Parameters:</p>
<ul class="param">
<li>
<span class='name'>line1</span>
<span class='type'>(<tt><span class='object_link'><a href="Array.html" title="Array (class)">Array</a></span>(<span class='object_link'><a href="Geom/Point3d.html" title="Geom::Point3d (class)">Geom::Point3d</a></span>, <span class='object_link'><a href="Geom/Vector3d.html" title="Geom::Vector3d (class)">Geom::Vector3d</a></span>)</tt>)</span>
—
<div class='inline'>
<p>The first line to intersect</p>
</div>
</li>
<li>
<span class='name'>line2</span>
<span class='type'>(<tt><span class='object_link'><a href="Array.html" title="Array (class)">Array</a></span>(<span class='object_link'><a href="Geom/Point3d.html" title="Geom::Point3d (class)">Geom::Point3d</a></span>, <span class='object_link'><a href="Geom/Vector3d.html" title="Geom::Vector3d (class)">Geom::Vector3d</a></span>)</tt>)</span>
—
<div class='inline'>
<p>The second line to intersect</p>
</div>
</li>
</ul>
<p class="tag_title">Returns:</p>
<ul class="return">
<li>
<span class='type'>(<tt><span class='object_link'><a href="Array.html" title="Array (class)">Array</a></span>(<span class='object_link'><a href="Geom/Point3d.html" title="Geom::Point3d (class)">Geom::Point3d</a></span>, <span class='object_link'><a href="Geom/Point3d.html" title="Geom::Point3d (class)">Geom::Point3d</a></span>)</tt>)</span>
—
<div class='inline'>
<p>An array of two points. The first point is on the first line and the second point is on the second</p>
</div>
</li>
</ul>
<p class="tag_title">Version:</p>
<ul class="version">
<li>
<div class='inline'>
<p>SketchUp 6.0</p>
</div>
</li>
</ul>
</div>
</div>
<div class="method_details ">
<h3 class="signature " id="fit_plane_to_points-class_method">
<a style="float: right;" href="#header" title="Return to Top">↑</a>
<span class="overload">.<strong>fit_plane_to_points</strong>(point1, point2, point3, ...) ⇒ <tt><span class='object_link'><a href="Array.html" title="Array (class)">Array</a></span><Float, Float, Float, Float></tt> </span>
<span class="overload">.<strong>fit_plane_to_points</strong>(points) ⇒ <tt><span class='object_link'><a href="Array.html" title="Array (class)">Array</a></span>(Float, Float, Float, Float)</tt> </span>
</h3>
<div class="docstring">
<div class="discussion">
<p>The <span class='object_link'><a href="#fit_plane_to_points-class_method" title="Geom.fit_plane_to_points (method)">fit_plane_to_points</a></span> method is used to compute a plane that is a best fit to an array of points. If more than three points are given some of the points may not be on the plane.</p>
<p>The plane is returned as an <span class='object_link'><a href="Array.html" title="Array (class)">Array</a></span> of 4 numbers which are the coefficients of the plane equation <code>Ax + By + Cz + D = 0</code>.</p>
</div>
</div>
<div class="tags">
<div class="examples">
<h4 class="tag_title">Examples:</h4>
<pre class="example code"><code><span class='id identifier rubyid_point1'>point1</span> <span class='op'>=</span> <span class='const'><span class='object_link'><a href="" title="Geom (module)">Geom</a></span></span><span class='op'>::</span><span class='const'><span class='object_link'><a href="Geom/Point3d.html" title="Geom::Point3d (class)">Point3d</a></span></span><span class='period'>.</span><span class='id identifier rubyid_new'><span class='object_link'><a href="Geom/Point3d.html#initialize-instance_method" title="Geom::Point3d#initialize (method)">new</a></span></span><span class='lparen'>(</span><span class='int'>0</span><span class='comma'>,</span> <span class='int'>0</span><span class='comma'>,</span> <span class='int'>0</span><span class='rparen'>)</span>
<span class='id identifier rubyid_point2'>point2</span> <span class='op'>=</span> <span class='const'><span class='object_link'><a href="" title="Geom (module)">Geom</a></span></span><span class='op'>::</span><span class='const'><span class='object_link'><a href="Geom/Point3d.html" title="Geom::Point3d (class)">Point3d</a></span></span><span class='period'>.</span><span class='id identifier rubyid_new'><span class='object_link'><a href="Geom/Point3d.html#initialize-instance_method" title="Geom::Point3d#initialize (method)">new</a></span></span><span class='lparen'>(</span><span class='int'>10</span><span class='comma'>,</span> <span class='int'>10</span><span class='comma'>,</span> <span class='int'>10</span><span class='rparen'>)</span>
<span class='id identifier rubyid_point3'>point3</span> <span class='op'>=</span> <span class='const'><span class='object_link'><a href="" title="Geom (module)">Geom</a></span></span><span class='op'>::</span><span class='const'><span class='object_link'><a href="Geom/Point3d.html" title="Geom::Point3d (class)">Point3d</a></span></span><span class='period'>.</span><span class='id identifier rubyid_new'><span class='object_link'><a href="Geom/Point3d.html#initialize-instance_method" title="Geom::Point3d#initialize (method)">new</a></span></span><span class='lparen'>(</span><span class='int'>25</span><span class='comma'>,</span> <span class='int'>25</span><span class='comma'>,</span> <span class='int'>25</span><span class='rparen'>)</span>
<span class='id identifier rubyid_plane'>plane</span> <span class='op'>=</span> <span class='const'><span class='object_link'><a href="" title="Geom (module)">Geom</a></span></span><span class='period'>.</span><span class='id identifier rubyid_fit_plane_to_points'>fit_plane_to_points</span><span class='lparen'>(</span><span class='id identifier rubyid_point1'>point1</span><span class='comma'>,</span> <span class='id identifier rubyid_point2'>point2</span><span class='comma'>,</span> <span class='id identifier rubyid_point3'>point3</span><span class='rparen'>)</span></code></pre>
</div>
<p class="tag_title">Overloads:</p>
<ul class="overload">
<li class="overload_item">
<span class="signature">.<strong>fit_plane_to_points</strong>(point1, point2, point3, ...) ⇒ <tt><span class='object_link'><a href="Array.html" title="Array (class)">Array</a></span><Float, Float, Float, Float></tt> </span>
<div class="docstring">
<div class="discussion">
<p>Returns A plane.</p>
</div>
</div>
<div class="tags">
<p class="tag_title">Parameters:</p>
<ul class="param">
<li>
<span class='name'>point1</span>
<span class='type'>(<tt><span class='object_link'><a href="Geom/Point3d.html" title="Geom::Point3d (class)">Geom::Point3d</a></span></tt>)</span>
</li>
<li>
<span class='name'>point2</span>
<span class='type'>(<tt><span class='object_link'><a href="Geom/Point3d.html" title="Geom::Point3d (class)">Geom::Point3d</a></span></tt>)</span>
</li>
<li>
<span class='name'>point3</span>
<span class='type'>(<tt><span class='object_link'><a href="Geom/Point3d.html" title="Geom::Point3d (class)">Geom::Point3d</a></span></tt>)</span>
</li>
</ul>
<p class="tag_title">Returns:</p>
<ul class="return">
<li>
<span class='type'>(<tt><span class='object_link'><a href="Array.html" title="Array (class)">Array</a></span><Float, Float, Float, Float></tt>)</span>
—
<div class='inline'>
<p>A plane</p>
</div>
</li>
</ul>
</div>
</li>
<li class="overload_item">
<span class="signature">.<strong>fit_plane_to_points</strong>(points) ⇒ <tt><span class='object_link'><a href="Array.html" title="Array (class)">Array</a></span>(Float, Float, Float, Float)</tt> </span>
<div class="docstring">
<div class="discussion">
<p>Returns A plane.</p>
</div>
</div>
<div class="tags">
<p class="tag_title">Parameters:</p>
<ul class="param">
<li>
<span class='name'>points</span>
<span class='type'>(<tt><span class='object_link'><a href="Array.html" title="Array (class)">Array</a></span><<span class='object_link'><a href="Geom/Point3d.html" title="Geom::Point3d (class)">Geom::Point3d</a></span>></tt>)</span>
</li>
</ul>
<p class="tag_title">Returns:</p>
<ul class="return">
<li>
<span class='type'>(<tt><span class='object_link'><a href="Array.html" title="Array (class)">Array</a></span>(Float, Float, Float, Float)</tt>)</span>
—
<div class='inline'>
<p>A plane</p>
</div>
</li>
</ul>
</div>
</li>
</ul>
<p class="tag_title">Version:</p>
<ul class="version">
<li>
<div class='inline'>
<p>SketchUp 6.0</p>
</div>
</li>
</ul>
</div>
</div>
<div class="method_details ">
<h3 class="signature " id="intersect_line_line-class_method">
<a style="float: right;" href="#header" title="Return to Top">↑</a>
.<strong>intersect_line_line</strong>(line1, line2) ⇒ <tt><span class='object_link'><a href="Geom/Point3d.html" title="Geom::Point3d (class)">Geom::Point3d</a></span></tt><sup>?</sup>
</h3>
<div class="docstring">
<div class="discussion">
<p>The <span class='object_link'><a href="#intersect_line_line-class_method" title="Geom.intersect_line_line (method)">intersect_line_line</a></span> computes the intersection of two lines.</p>
</div>
</div>
<div class="tags">
<div class="examples">
<h4 class="tag_title">Examples:</h4>
<pre class="example code"><code><span class='comment'># Defines a line parallel to the Y axis, offset 20 units.
</span><span class='id identifier rubyid_line1'>line1</span> <span class='op'>=</span> <span class='lbracket'>[</span><span class='const'><span class='object_link'><a href="" title="Geom (module)">Geom</a></span></span><span class='op'>::</span><span class='const'><span class='object_link'><a href="Geom/Point3d.html" title="Geom::Point3d (class)">Point3d</a></span></span><span class='period'>.</span><span class='id identifier rubyid_new'><span class='object_link'><a href="Geom/Point3d.html#initialize-instance_method" title="Geom::Point3d#initialize (method)">new</a></span></span><span class='lparen'>(</span><span class='int'>20</span><span class='comma'>,</span> <span class='int'>0</span><span class='comma'>,</span> <span class='int'>0</span><span class='rparen'>)</span><span class='comma'>,</span> <span class='const'><span class='object_link'><a href="" title="Geom (module)">Geom</a></span></span><span class='op'>::</span><span class='const'><span class='object_link'><a href="Geom/Vector3d.html" title="Geom::Vector3d (class)">Vector3d</a></span></span><span class='period'>.</span><span class='id identifier rubyid_new'><span class='object_link'><a href="Geom/Vector3d.html#initialize-instance_method" title="Geom::Vector3d#initialize (method)">new</a></span></span><span class='lparen'>(</span><span class='int'>0</span><span class='comma'>,</span> <span class='int'>1</span><span class='comma'>,</span> <span class='int'>0</span><span class='rparen'>)</span><span class='rbracket'>]</span>
<span class='comment'># Defines a line parallel to the X axis, offset 10 units.
</span><span class='id identifier rubyid_line2'>line2</span> <span class='op'>=</span> <span class='lbracket'>[</span><span class='const'><span class='object_link'><a href="" title="Geom (module)">Geom</a></span></span><span class='op'>::</span><span class='const'><span class='object_link'><a href="Geom/Point3d.html" title="Geom::Point3d (class)">Point3d</a></span></span><span class='period'>.</span><span class='id identifier rubyid_new'><span class='object_link'><a href="Geom/Point3d.html#initialize-instance_method" title="Geom::Point3d#initialize (method)">new</a></span></span><span class='lparen'>(</span><span class='int'>0</span><span class='comma'>,</span> <span class='int'>10</span><span class='comma'>,</span> <span class='int'>0</span><span class='rparen'>)</span><span class='comma'>,</span> <span class='const'><span class='object_link'><a href="" title="Geom (module)">Geom</a></span></span><span class='op'>::</span><span class='const'><span class='object_link'><a href="Geom/Point3d.html" title="Geom::Point3d (class)">Point3d</a></span></span><span class='period'>.</span><span class='id identifier rubyid_new'><span class='object_link'><a href="Geom/Point3d.html#initialize-instance_method" title="Geom::Point3d#initialize (method)">new</a></span></span><span class='lparen'>(</span><span class='int'>20</span><span class='comma'>,</span> <span class='int'>10</span><span class='comma'>,</span> <span class='int'>0</span><span class='rparen'>)</span><span class='rbracket'>]</span>
<span class='comment'># This will return a point Point3d(20, 10, 0).
</span><span class='id identifier rubyid_point'>point</span> <span class='op'>=</span> <span class='const'><span class='object_link'><a href="" title="Geom (module)">Geom</a></span></span><span class='period'>.</span><span class='id identifier rubyid_intersect_line_line'>intersect_line_line</span><span class='lparen'>(</span><span class='id identifier rubyid_line1'>line1</span><span class='comma'>,</span> <span class='id identifier rubyid_line2'>line2</span><span class='rparen'>)</span></code></pre>
</div>
<p class="tag_title">Parameters:</p>
<ul class="param">
<li>
<span class='name'>line1</span>
<span class='type'>(<tt><span class='object_link'><a href="Array.html" title="Array (class)">Array</a></span>(<span class='object_link'><a href="Geom/Point3d.html" title="Geom::Point3d (class)">Geom::Point3d</a></span>, <span class='object_link'><a href="Geom/Vector3d.html" title="Geom::Vector3d (class)">Geom::Vector3d</a></span>)</tt>)</span>
—
<div class='inline'>
<p>The first line to intersect.</p>
</div>
</li>
<li>
<span class='name'>line2</span>
<span class='type'>(<tt><span class='object_link'><a href="Array.html" title="Array (class)">Array</a></span>(<span class='object_link'><a href="Geom/Point3d.html" title="Geom::Point3d (class)">Geom::Point3d</a></span>, <span class='object_link'><a href="Geom/Vector3d.html" title="Geom::Vector3d (class)">Geom::Vector3d</a></span>)</tt>)</span>
—
<div class='inline'>
<p>The second line to intersect.</p>
</div>
</li>
</ul>
<p class="tag_title">Returns:</p>
<ul class="return">
<li>
<span class='type'>(<tt><span class='object_link'><a href="Geom/Point3d.html" title="Geom::Point3d (class)">Geom::Point3d</a></span></tt>, <tt>nil</tt>)</span>
—
<div class='inline'>
<p>The intersection point. Returns <code>nil</code> if they do not intersect.</p>
</div>
</li>
</ul>
<p class="tag_title">See Also:</p>
<ul class="see">
<li><span class='object_link'><a href="" title="Geom (module)">The Geom module for alternative versions of defining a line.</a></span></li>
</ul>
<p class="tag_title">Version:</p>
<ul class="version">
<li>
<div class='inline'>
<p>SketchUp 6.0</p>
</div>
</li>
</ul>
</div>
</div>
<div class="method_details ">
<h3 class="signature " id="intersect_line_plane-class_method">
<a style="float: right;" href="#header" title="Return to Top">↑</a>
.<strong>intersect_line_plane</strong>(line, plane) ⇒ <tt><span class='object_link'><a href="Geom/Point3d.html" title="Geom::Point3d (class)">Geom::Point3d</a></span></tt><sup>?</sup>
</h3>
<div class="docstring">
<div class="discussion">
<p>The <span class='object_link'><a href="#intersect_line_plane-class_method" title="Geom.intersect_line_plane (method)">intersect_line_plane</a></span> method is used to compute the intersection of a line and a plane.</p>
</div>
</div>
<div class="tags">
<div class="examples">
<h4 class="tag_title">Examples:</h4>
<pre class="example code"><code><span class='comment'># Defines a line parallel to the X axis, offset 20 units.
</span><span class='id identifier rubyid_line'>line</span> <span class='op'>=</span> <span class='lbracket'>[</span><span class='const'><span class='object_link'><a href="" title="Geom (module)">Geom</a></span></span><span class='op'>::</span><span class='const'><span class='object_link'><a href="Geom/Point3d.html" title="Geom::Point3d (class)">Point3d</a></span></span><span class='period'>.</span><span class='id identifier rubyid_new'><span class='object_link'><a href="Geom/Point3d.html#initialize-instance_method" title="Geom::Point3d#initialize (method)">new</a></span></span><span class='lparen'>(</span><span class='op'>-</span><span class='int'>10</span><span class='comma'>,</span> <span class='int'>20</span><span class='comma'>,</span> <span class='int'>0</span><span class='rparen'>)</span><span class='comma'>,</span> <span class='const'><span class='object_link'><a href="" title="Geom (module)">Geom</a></span></span><span class='op'>::</span><span class='const'><span class='object_link'><a href="Geom/Vector3d.html" title="Geom::Vector3d (class)">Vector3d</a></span></span><span class='period'>.</span><span class='id identifier rubyid_new'><span class='object_link'><a href="Geom/Vector3d.html#initialize-instance_method" title="Geom::Vector3d#initialize (method)">new</a></span></span><span class='lparen'>(</span><span class='int'>1</span><span class='comma'>,</span> <span class='int'>0</span><span class='comma'>,</span> <span class='int'>0</span><span class='rparen'>)</span><span class='rbracket'>]</span>
<span class='comment'># Defines a plane with it's normal parallel to the x axis.
</span><span class='id identifier rubyid_plane'>plane</span> <span class='op'>=</span> <span class='lbracket'>[</span><span class='const'><span class='object_link'><a href="" title="Geom (module)">Geom</a></span></span><span class='op'>::</span><span class='const'><span class='object_link'><a href="Geom/Point3d.html" title="Geom::Point3d (class)">Point3d</a></span></span><span class='period'>.</span><span class='id identifier rubyid_new'><span class='object_link'><a href="Geom/Point3d.html#initialize-instance_method" title="Geom::Point3d#initialize (method)">new</a></span></span><span class='lparen'>(</span><span class='int'>10</span><span class='comma'>,</span> <span class='int'>0</span> <span class='comma'>,</span><span class='int'>0</span><span class='rparen'>)</span><span class='comma'>,</span> <span class='const'><span class='object_link'><a href="" title="Geom (module)">Geom</a></span></span><span class='op'>::</span><span class='const'><span class='object_link'><a href="Geom/Vector3d.html" title="Geom::Vector3d (class)">Vector3d</a></span></span><span class='period'>.</span><span class='id identifier rubyid_new'><span class='object_link'><a href="Geom/Vector3d.html#initialize-instance_method" title="Geom::Vector3d#initialize (method)">new</a></span></span><span class='lparen'>(</span><span class='int'>1</span><span class='comma'>,</span> <span class='int'>0</span><span class='comma'>,</span> <span class='int'>0</span><span class='rparen'>)</span><span class='rbracket'>]</span>
<span class='comment'># This will return a point Point3d(10, 20, 0).
</span><span class='id identifier rubyid_point'>point</span> <span class='op'>=</span> <span class='const'><span class='object_link'><a href="" title="Geom (module)">Geom</a></span></span><span class='period'>.</span><span class='id identifier rubyid_intersect_line_plane'>intersect_line_plane</span><span class='lparen'>(</span><span class='id identifier rubyid_line'>line</span><span class='comma'>,</span> <span class='id identifier rubyid_plane'>plane</span><span class='rparen'>)</span></code></pre>
</div>
<p class="tag_title">Parameters:</p>
<ul class="param">
<li>
<span class='name'>line</span>
<span class='type'>(<tt><span class='object_link'><a href="Array.html" title="Array (class)">Array</a></span>(<span class='object_link'><a href="Geom/Point3d.html" title="Geom::Point3d (class)">Geom::Point3d</a></span>, <span class='object_link'><a href="Geom/Vector3d.html" title="Geom::Vector3d (class)">Geom::Vector3d</a></span>)</tt>)</span>
</li>
<li>
<span class='name'>plane</span>
<span class='type'>(<tt><span class='object_link'><a href="Array.html" title="Array (class)">Array</a></span>(<span class='object_link'><a href="Geom/Point3d.html" title="Geom::Point3d (class)">Geom::Point3d</a></span>, <span class='object_link'><a href="Geom/Point3d.html" title="Geom::Point3d (class)">Geom::Point3d</a></span>)</tt>)</span>
</li>
</ul>
<p class="tag_title">Returns:</p>
<ul class="return">
<li>
<span class='type'>(<tt><span class='object_link'><a href="Geom/Point3d.html" title="Geom::Point3d (class)">Geom::Point3d</a></span></tt>, <tt>nil</tt>)</span>
—
<div class='inline'>
<p>A Point3d object. Returns <code>nil</code> if they do not intersect.</p>
</div>
</li>
</ul>
<p class="tag_title">See Also:</p>
<ul class="see">
<li><span class='object_link'><a href="" title="Geom (module)">The Geom module for alternative versions of defining lines and planes.</a></span></li>
</ul>
<p class="tag_title">Version:</p>
<ul class="version">
<li>
<div class='inline'>
<p>SketchUp 6.0</p>
</div>
</li>
</ul>
</div>
</div>
<div class="method_details ">
<h3 class="signature " id="intersect_plane_plane-class_method">
<a style="float: right;" href="#header" title="Return to Top">↑</a>
.<strong>intersect_plane_plane</strong>(plane1, plane2) ⇒ <tt><span class='object_link'><a href="Array.html" title="Array (class)">Array</a></span>(<span class='object_link'><a href="Geom/Point3d.html" title="Geom::Point3d (class)">Geom::Point3d</a></span>, <span class='object_link'><a href="Geom/Vector3d.html" title="Geom::Vector3d (class)">Geom::Vector3d</a></span>)</tt>
</h3>
<div class="docstring">
<div class="discussion">
<p>The <span class='object_link'><a href="#intersect_plane_plane-class_method" title="Geom.intersect_plane_plane (method)">intersect_plane_plane</a></span> method is used to compute the intersection of two planes.</p>
</div>
</div>
<div class="tags">
<div class="examples">
<h4 class="tag_title">Examples:</h4>