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Dido525 Group Title

Surface geometry help?

  • one year ago
  • one year ago

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  1. Dido525 Group Title
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    • one year ago
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  2. Dido525 Group Title
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    I think it's a elliptic paraboloid but I am not sure...

    • one year ago
  3. Dido525 Group Title
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    Just looking at the cross sections.

    • one year ago
  4. yummydum Group Title
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    its either one of the bottom two graphs, i know that

    • one year ago
  5. Dido525 Group Title
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    I think it's the bottom left one.

    • one year ago
  6. Dido525 Group Title
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    But I am not sure :/ .

    • one year ago
  7. yummydum Group Title
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    yea same here

    • one year ago
  8. Dido525 Group Title
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    What the heck is that shape even called? >.>

    • one year ago
  9. nincompoop Group Title
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    \[x^2+z^2 = sphere\]

    • one year ago
  10. nincompoop Group Title
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    my bad

    • one year ago
  11. Dido525 Group Title
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    Really? Isn't x^2+y^2+z^2= r a sphere?

    • one year ago
  12. nincompoop Group Title
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    you need y^2 for sphere

    • one year ago
  13. Dido525 Group Title
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    Yeah :P .

    • one year ago
  14. yummydum Group Title
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    would it just be a cylinder

    • one year ago
  15. Dido525 Group Title
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    No. The cross sections are parabolas so there is no way it's a cylinder.

    • one year ago
  16. nincompoop Group Title
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    no just a circle

    • one year ago
  17. some_someone Group Title
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    \[x^2+z^2 = 7\] is a circle :)

    • one year ago
  18. Dido525 Group Title
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    I know but... ;_; ... I thought the cross sections would be parabolas :/ .

    • one year ago
  19. nincompoop Group Title
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    the hare lost the race :P

    • one year ago
  20. yummydum Group Title
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    which is again why i am not sure if it is the bottom left or the bottom right

    • one year ago
  21. Dido525 Group Title
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    K, so it the the bottom right apparantly : / .

    • one year ago
  22. Dido525 Group Title
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    Not sure why though.

    • one year ago
  23. Dido525 Group Title
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    Because it's not like with translate the circle.

    • one year ago
  24. yummydum Group Title
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    i guess since its missing the \(y^2\)

    • one year ago
  25. nincompoop Group Title
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    why oh why?

    • one year ago
  26. nincompoop Group Title
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    why not two parabolas?

    • one year ago
  27. yummydum Group Title
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    you mean a hyperbola? lol

    • one year ago
  28. Dido525 Group Title
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    It cannot be a hyperbola. No subtraction term appears.

    • one year ago
  29. yummydum Group Title
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    exactly :)

    • one year ago
  30. nincompoop Group Title
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    wow I suck at "surface" geometry LOL so it is a circle yes? why not pick the one with a circle in the first place?

    • one year ago
  31. Dido525 Group Title
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    Because I assumed the cross sections would be parabolas so it did not seem logical to pick a cylinder :/ .

    • one year ago
  32. yummydum Group Title
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    hey wouldnt it have to be x^2+y^2=7 to be parabolic? i think thats why its a cylinder

    • one year ago
  33. Dido525 Group Title
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    Well if I take z=0 then we get x^2=7 which is a parabola.

    • one year ago
  34. some_someone Group Title
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    well x^2+y^2=7 is a circle.

    • one year ago
  35. nincompoop Group Title
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    nawwww… even if you drew just a 2-D circle, in microscopic view it is still "cylindrical" in shape

    • one year ago
  36. yummydum Group Title
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    nincompoop get your wise self outta here :P

    • one year ago
  37. Dido525 Group Title
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    Well I DO AGREE it is indeed a circle about the x-z axis but how does that make it a cylinder? :/ .

    • one year ago
  38. some_someone Group Title
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    Cylindrical coordinates are a generalization of two-dimensional polar coordinates to three dimensions by superposing a height (z) axis. Unfortunately, there are a number of different notations used for the other two coordinates. Either r or rho is used to refer to the radial coordinate and either phi or theta to the azimuthal coordinates. Arfken, for instance, uses (rho, phi, z), while Beyer uses (r, theta, z). In this work, the notation (r, theta, z) is used. The following table summarizes notational conventions used by a number of authors.

    • one year ago
  39. some_someone Group Title
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    check wolfram.com

    • one year ago
  40. yummydum Group Title
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    nice copy-pasting, dude! :D

    • one year ago
  41. some_someone Group Title
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    https://www.wolframalpha.com/input/?i=cylindrical+coordinates&lk=4&num=2

    • one year ago
  42. yummydum Group Title
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    jk jk...yea wolfram does say that it is a circle

    • one year ago
  43. some_someone Group Title
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    @yummydum i know right, thnx bro :)

    • one year ago
  44. nincompoop Group Title
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    the cylinders that we know are just blown-up circles

    • one year ago
  45. Dido525 Group Title
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    What a stupid definition...

    • one year ago
  46. nincompoop Group Title
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    oh there's the definition lol

    • one year ago
  47. Dido525 Group Title
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    I don't like all these coordinate systems :/ .

    • one year ago
  48. nincompoop Group Title
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    they are useful

    • one year ago
  49. Dido525 Group Title
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    I don't see how... Just stick to rectangular coordinates :/ .

    • one year ago
  50. Dido525 Group Title
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    Thanks guys for all the help :) .

    • one year ago
  51. nincompoop Group Title
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    you mean just 2-D? awwww do you prefer them pixelated too? L M A O :P

    • one year ago
  52. Dido525 Group Title
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    :( .

    • one year ago
  53. nincompoop Group Title
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    don't be sad… the knowledge you will acquire is transferrable to different physical sciences.

    • one year ago
  54. Dido525 Group Title
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    As long as it's applicable to engineering...

    • one year ago
  55. nincompoop Group Title
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    you bet

    • one year ago
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