More lines!pic.twitter.com/BF5ASBBoeX
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Hint: There are really only two special points in this diagram, the center of the circle, and the point from which all the lines emerge. Two special points. Ellipse. Hmmm...
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Play here: https://www.geogebra.org/m/rgtfeswh What happens outside?pic.twitter.com/BkBzUUh6wH
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Extend the lines some more, and I believe you get a hyperbola.
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So do you get a parabola when B is right on the circumference?
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Update: I tried and honestly I can't make any conclusions from thispic.twitter.com/fc1E7L96j2
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Let the line extend much more.
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Changed "Segment" in the code to "Line", set B to exactly (1,0), but I'm still not sure what I'm seeing here. Looks the same even zooming all the way in. The Moirés are neat thoughpic.twitter.com/H00nYP7Dce
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Is this a hint as to what the next video is about???
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u slick boi
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A definition of an ellipse is equal distances from a cirkel to a point within the circle. So when you take lines from the point to the circle and flip them by their centre they have equal distances and since it’s 90 degrees they are tangent to the elipse.
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Sorry, autocorrect turned circle to cirkel (which is Dutch for circle)
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Exactly how circle sounds in English!
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An ellipse has equal distances from the (focal) point to a circle. If you draw a line from the point to the circle and create a perpendicular bisector, you ensure that every point on the bisector has an equal distance. 1/2
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Then you just have to draw a line from the center to the point on the circle and repeat that process for each point on the circle… and there you have it. A beautiful ellipse. 2/2
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Hodographic mapping. The orthogonal lines can be thought of as incremental velocities. Greatest change is at the perihelion.
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