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Why shadows (almost) always trace out hyperbolas (but it depends on where you live). скачать в хорошем качестве

Why shadows (almost) always trace out hyperbolas (but it depends on where you live). 2 years ago

zach star

zachstar

hyperbolas

real world application of hyperbolas

sundial

sun dial

hyper bolas

north star

navigation

conic sections

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Why shadows (almost) always trace out hyperbolas (but it depends on where you live).
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Why shadows (almost) always trace out hyperbolas (but it depends on where you live).

To try everything Brilliant has to offer—free—for a full 30 days, visit https://brilliant.org/ZachStar/ . The first 200 of you will get 20% off Brilliant's annual premium subscription. Floating Globe: https://stemerch.com/collections/scie... QED shirt: https://stemerch.com/collections/qed STEMerch Store: https://stemerch.com/ ►Follow me Odysee: https://odysee.com/@ZachStar:0 Instagram:   / zachstar   Twitter:   / imzachstar   ►Full answer (spoilers) The path traced out by the tip of the shadow can be... 1) A circle (if you are on one of the poles during their summer) 2) An ellipse (if you are in the Arctic or Antarctic circle, but not on either pole, during a day where the sun doesn't set) 3) A line (this happens if you are anywhere on Earth besides the poles, during either the Spring or Autumn equinox) 4) A parabola (this happens if you are in/on the Arctic or Antarctic circle during a day where the sun BARELY sets, meaning it sets and rises in the exact same location. This happens twice a year for any point in those circles. If you are ON one of the circles, then it will happen during the Summer or Winter solstice for the Arctic and Antarctic circles respectively). 5) A hyperbola (If you aren't in one of the places listed above on those specific days, then you'll get this shape. This is what happens at most places on Earth throughout most of the year). ►Resources Interactive tool: https://www.geogebra.org/m/AHEgBVUd Video showing linear path on Equinox:    • Equinox 20th March 2021 - simple sundial w...   Support the Channel:   / zachstar   PayPal(one time donation): https://www.paypal.me/ZachStarYT Join this channel to get access to perks:    / @zachstar   2D Graphing Software: https://www.desmos.com/calculator Animations: Arkam Khan (For contact info go to https://www.arqum333.com/) Check out my Spanish channel here:    / zach star en español   ►My Setup: Camera: https://amzn.to/2RivYu5 Mic: https://amzn.to/35bKiri Tripod: https://amzn.to/2RgMTNL ►Check out my Amazon Store: https://www.amazon.com/shop/zachstar

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