Deriving the Equations of an Epicycloid

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  • Опубликовано: 19 дек 2024

Комментарии • 23

  • @XanderGouws
    @XanderGouws  5 лет назад +4

    Note: Sometimes, epicycloids are referred to as 'hypercycloids'.
    Discord: discord.gg/EBhZxvG

  • @koolkooldood1393
    @koolkooldood1393 5 лет назад +2

    Now this is the quality content I’ve been searching for!!!

  • @VibingMath
    @VibingMath 5 лет назад +5

    Your channel deserves more subscription! You earned my sub 👍

  • @sameerkiron
    @sameerkiron Месяц назад

    could someone explain why S1= S2 at 1:07

  • @АлексейАндрюшечкин-е4ю

    Excellent video!

  • @riarishi100
    @riarishi100 4 года назад +1

    Why do we have to add the equations in the end?

    • @XanderGouws
      @XanderGouws  3 года назад

      Good question! We have to add the equations to account for the fact that the point is described by both displacements combined.
      We need to get from the origin to the center of the outer circle. takes you from the center of the outer circle to the point of interest. So takes you from the origin to the point of interest.
      Sorry for the late reply. Hope this helps :)

  • @ZombieLoverPlays
    @ZombieLoverPlays 5 лет назад +2

    Clean graphics! Can't wait for them double monthly uploads :p

  • @MagnusTheGreat
    @MagnusTheGreat 4 года назад

    Do you have one with hypocycloids?

    • @XanderGouws
      @XanderGouws  4 года назад

      I currently do not, but I have it on my (very long) to-do list!

  • @سلمانيوسف-ر5خ
    @سلمانيوسف-ر5خ 6 месяцев назад

    thanks.. that was amazing

  • @sollinw
    @sollinw 4 года назад

    why is the angle in the outer circle=alfa+theta?

    • @XanderGouws
      @XanderGouws  4 года назад

      Good question! It's because theta is the angle between the horizontal and the line connecting the two radii, and alpha is the angle between the line connecting both radii and and the point.
      Going to 0:50 should make it more clear what I mean.

    • @sergioquijano7721
      @sergioquijano7721 2 года назад

      @@XanderGouws I was searching for this question and I'm glad I found it on the comments! Thank you!

  • @sollinw
    @sollinw 4 года назад

    clear & easy to watch :)!

  • @Franerocksyeah
    @Franerocksyeah 3 года назад

    great video !!

  • @ayeshas6580
    @ayeshas6580 5 лет назад

    Great video :)

  • @supriya1729
    @supriya1729 3 года назад

    Amazing 😄

  • @MathForLife
    @MathForLife 5 лет назад

    Good!

  • @saintbrandvideos9007
    @saintbrandvideos9007 4 года назад

    I like my claims... :-) It's all coming back to me... Many thanks...
    14. (Original) The system of claim 1, wherein the at least one hypodermic needle further includes a barb.
    15. (Original) The system of claim 1, wherein the at least one hypodermic needle is configured in an arc.
    16. (Original) The system of claim 15, wherein the at least one hypodermic needle is configured in one or more cycloidal, epicycloidal, hypocycloidal, or other spiral arc.
    17. (Original) The system of claim 1, wherein the injector head further comprises a cooperative strut corresponding to the at least one hypodermic needle and configured in such a manner as to facilitate dermal penetration of the recipient by the at least one hypodermic needle and to facilitate the injection of the formulation into the recipient.
    18. (Original) The system of claim 1, wherein the injector head comprises a plurality of hypodermic needles cooperatively corresponding to the at least one hypodermic needle and configured in such a manner as to facilitate dermal penetration of the recipient by the plurality of hypodermic needles and to facilitate injection of the formulation into the recipient.
    www.linkedin.com/pulse/formulation-delivery-system-charles-ankner-cp/