
spacecurves Tag Posts Index
Explore on-chain topics from the Hive blockchain.
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The TNB Frame: Normal and Osculating Planes + Example on a Circular Helix
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
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Normal and Binormal Vectors + Example on a Circular Helix
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
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Arc Length of a Space Curve + Example on Circular Helix
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
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Plane Curves as Vector Functions and the Structure of a DNA Helix
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
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Space Curves: Tracing out the Tip of a Continuous Vector Function
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
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