<?xml version="1.0" encoding="UTF-8"?><rss xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:content="http://purl.org/rss/1.0/modules/content/" xmlns:atom="http://www.w3.org/2005/Atom" version="2.0"><channel><title><![CDATA[RSS Feed]]></title><description><![CDATA[RSS Feed]]></description><link>http://direct.ecency.com</link><image><url>http://direct.ecency.com/logo512.png</url><title>RSS Feed</title><link>http://direct.ecency.com</link></image><generator>RSS for Node</generator><lastBuildDate>Fri, 24 Apr 2026 05:37:37 GMT</lastBuildDate><atom:link href="http://direct.ecency.com/created/spacecurves/rss.xml" rel="self" type="application/rss+xml"/><item><title><![CDATA[The TNB Frame: Normal and Osculating Planes + Example on a Circular Helix]]></title><description><![CDATA[In this video, I go over the TNB Frame for space curves and their associated Normal and Osculating Planes, which have applications in the motion of spacecraft. The TNB Frame is named after the Tangent,]]></description><link>http://direct.ecency.com/hive-128780/@mes/msfarvob</link><guid isPermaLink="true">http://direct.ecency.com/hive-128780/@mes/msfarvob</guid><category><![CDATA[hive-128780]]></category><dc:creator><![CDATA[mes]]></dc:creator><pubDate>Tue, 13 Jan 2026 22:05:06 GMT</pubDate><enclosure url="https://images.ecency.com/p/99pyU5Ga1kwr5bsMXthzYLbcngN4W2P8NtU9TWTdHC3HaQbjuuRfKKVdjVdTJeZeR9mpZgJwQ4CSCx3drLVVDsK6aqan538K6ZgEQ2mYBEypXpEcuZiFeF5t7bb548582A?format=match&amp;mode=fit" length="0" type="false"/></item><item><title><![CDATA[Normal and Binormal Vectors + Example on a Circular Helix]]></title><description><![CDATA[In this video, I go over the principal unit normal and binormal vectors of a space curve, which are both derived from the unit tangent vector. Since the unit tangent vector is a constant-length one, its]]></description><link>http://direct.ecency.com/hive-128780/@mes/klkebgpa</link><guid isPermaLink="true">http://direct.ecency.com/hive-128780/@mes/klkebgpa</guid><category><![CDATA[hive-128780]]></category><dc:creator><![CDATA[mes]]></dc:creator><pubDate>Sun, 11 Jan 2026 06:45:06 GMT</pubDate><enclosure url="https://images.ecency.com/p/99pyU5Ga1kwr5bsMXthzYLbcngN4W2P8NtU9TWTdHC3HaQbjuuRfKKVdjVgY8ex6gcB6PigrZDwCwAQFy8ciubZx4hdqBq78QVJjwW9e4ZvkEBEna6fUd9wPsrqhLdmjnN?format=match&amp;mode=fit" length="0" type="false"/></item><item><title><![CDATA[Arc Length of a Space Curve + Example on Circular Helix]]></title><description><![CDATA[In this video, I extend the formula for the arc length of a 2D plane curve to that of a 3D space curve, both of which can be represented in compact form as the integral of the length of the derivative]]></description><link>http://direct.ecency.com/hive-111030/@mes/arc-length-of-a-space-curve-example-on-circular-helix</link><guid isPermaLink="true">http://direct.ecency.com/hive-111030/@mes/arc-length-of-a-space-curve-example-on-circular-helix</guid><category><![CDATA[hive-111030]]></category><dc:creator><![CDATA[mes]]></dc:creator><pubDate>Fri, 26 Dec 2025 22:45:54 GMT</pubDate><enclosure url="https://images.ecency.com/p/TZjG7hXReeVoAvXt29bbVGMEE7sQ8cjDLQHKvyubK83Fr7fwxWWPZg8BiNdk3BGaferNXoAZ2Q1NciBcLsyN4sf6KqQrN3t3gRx7SYb7Gnbmbvwbof9VD9DwrMhaCkwgsjbzrFSo8EsPBM?format=match&amp;mode=fit" length="0" type="false"/></item><item><title><![CDATA[Plane Curves as Vector Functions and the Structure of a DNA Helix]]></title><description><![CDATA[In this video I discuss how plane curves can be represented as vector functions, and illustrate an example of a plane curve that spirals upwards into a helix. YouTube - Notes - Playlist - Vector Functions]]></description><link>http://direct.ecency.com/hive-111030/@mes/plane-curves-as-vector-functions-and-the-structure-of-a-dna-helix</link><guid isPermaLink="true">http://direct.ecency.com/hive-111030/@mes/plane-curves-as-vector-functions-and-the-structure-of-a-dna-helix</guid><category><![CDATA[hive-111030]]></category><dc:creator><![CDATA[mes]]></dc:creator><pubDate>Wed, 11 Jun 2025 05:19:06 GMT</pubDate><enclosure url="https://images.ecency.com/p/3zpz8WQe4SNGWd7Tzma21bfbp1De9N1PiS848Vc7tBRicyTYGerDZstKYxPQjbTbZ9UWRFqUM3UKgnapgkqRVRAWUpRm9Mo3CVK7ScS8UQX8XEQoG7knLb3Uzx1cAUWgEcxbfuitSuBmJCsZ6f91?format=match&amp;mode=fit" length="0" type="false"/></item><item><title><![CDATA[Space Curves: Tracing out the Tip of a Continuous Vector Function]]></title><description><![CDATA[In this video I show that a continuous vector function in 3D forms a curve in space when tracing out the point on the tip of the vector as it moves in time. Note that a continuous vector function means]]></description><link>http://direct.ecency.com/hive-128780/@mes/pgrycijo</link><guid isPermaLink="true">http://direct.ecency.com/hive-128780/@mes/pgrycijo</guid><category><![CDATA[hive-128780]]></category><dc:creator><![CDATA[mes]]></dc:creator><pubDate>Wed, 04 Jun 2025 16:54:09 GMT</pubDate><enclosure url="https://images.ecency.com/p/99pyU5Ga1kwr5bsMXthzYLbcngN4W2P8NtU9TWTdHC3HaQbjuuRfHesJoVwY74rhPFA46JtSXeHdeeqo4Mwn3v2hjxvXvVJ6vrwYCNpKZ9QXVzAqEDZ37B5zj4a67nzoa6?format=match&amp;mode=fit" length="0" type="false"/></item></channel></rss>