• Re: The Circles

    From sobriquet@21:1/5 to All on Tue Jul 1 13:29:59 2025
    Op 01/07/2025 om 07:16 schreef Ross Finlayson:
    On 06/30/2025 11:29 AM, Chris M. Thomasson wrote:
    On 6/28/2025 8:38 PM, Ross Finlayson wrote:
    Oh, been a while, figure I'll post.
    [...]

    An ellipse is nothing more than a circle projected in 3d? ;^)


    That's frivolous.

    An ellipse is constructible from a loop of string and two pegs.

    An image of a circle onto a plane as projected from
    an incident angle via 3D:  is not an ellipse, either.

    Ask your shadow.



    Looks like an ellipse to me:

    https://www.desmos.com/3d/syqqdp9cef?translucentSurfaces

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  • From sobriquet@21:1/5 to All on Tue Jul 1 23:02:14 2025
    Op 01/07/2025 om 13:29 schreef sobriquet:
    Op 01/07/2025 om 07:16 schreef Ross Finlayson:
    On 06/30/2025 11:29 AM, Chris M. Thomasson wrote:
    On 6/28/2025 8:38 PM, Ross Finlayson wrote:
    Oh, been a while, figure I'll post.
    [...]

    An ellipse is nothing more than a circle projected in 3d? ;^)


    That's frivolous.

    An ellipse is constructible from a loop of string and two pegs.

    An image of a circle onto a plane as projected from
    an incident angle via 3D:  is not an ellipse, either.

    Ask your shadow.



    Looks like an ellipse to me:

    https://www.desmos.com/3d/syqqdp9cef?translucentSurfaces

    Uh.. slight fix:

    https://www.desmos.com/3d/om4r4nmoeg?translucentSurfaces

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    * Origin: fsxNet Usenet Gateway (21:1/5)
  • From sobriquet@21:1/5 to All on Tue Jul 1 23:16:30 2025
    Op 01/07/2025 om 21:23 schreef Chris M. Thomasson:
    On 7/1/2025 4:29 AM, sobriquet wrote:
    Op 01/07/2025 om 07:16 schreef Ross Finlayson:
    On 06/30/2025 11:29 AM, Chris M. Thomasson wrote:
    On 6/28/2025 8:38 PM, Ross Finlayson wrote:
    Oh, been a while, figure I'll post.
    [...]

    An ellipse is nothing more than a circle projected in 3d? ;^)


    That's frivolous.

    An ellipse is constructible from a loop of string and two pegs.

    An image of a circle onto a plane as projected from
    an incident angle via 3D:  is not an ellipse, either.

    Ask your shadow.



    Looks like an ellipse to me:

    https://www.desmos.com/3d/syqqdp9cef?translucentSurfaces

    :^)

    An ellipse, take a parametric circle and use different x and y radii in
    the 2d plane. However, Think of rotating a circle in a 3d projection. It visually looks like an ellipse. So, I always found that interesting. If
    I take an ellipse in 2d, it has a rotated circle "counterpart" in 3d?
    Fair enough, kind of? ;^)

    I dunno.. seems complicated because it might depend on the perspective
    or angle of view, which can distort things.

    https://i.imgur.com/5XiKI7u.png

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  • From sobriquet@21:1/5 to All on Mon Jul 7 01:26:31 2025
    Op 06/07/2025 om 15:13 schreef Ross Finlayson:
    On 07/01/2025 04:29 AM, sobriquet wrote:
    Op 01/07/2025 om 07:16 schreef Ross Finlayson:
    On 06/30/2025 11:29 AM, Chris M. Thomasson wrote:
    On 6/28/2025 8:38 PM, Ross Finlayson wrote:
    Oh, been a while, figure I'll post.
    [...]

    An ellipse is nothing more than a circle projected in 3d? ;^)


    That's frivolous.

    An ellipse is constructible from a loop of string and two pegs.

    An image of a circle onto a plane as projected from
    an incident angle via 3D:  is not an ellipse, either.

    Ask your shadow.



    Looks like an ellipse to me:

    https://www.desmos.com/3d/syqqdp9cef?translucentSurfaces

    That's like AP and his ovals.

    Can you be specific? Are you denying that this is an ellipse?

    y^2 + 2*sqrt(2)*x^2 = 1

    Or are you claiming that this is not the shape you get when you project
    a unit circle (centered on the origin) in a plane z = sqrt(2)*x onto the
    z=0 plane?



    There are ellipsoids of various sorts,
    and as for oblate spheroids, what "a
    traditional section of conics, ..., and
    a flashlight through it projected onto
    various surfaces", may result.

    ..., And the entire modern mathematical problem
    of elliptic curves and elliptic curve cryptography
    is broken by a guy with a sufficiently large setup
    of conic sections and flashlight and backdrop.

    Or, "they should've known, AP warned them."



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  • From sobriquet@21:1/5 to All on Mon Jul 7 01:28:53 2025
    Op 07/07/2025 om 01:26 schreef sobriquet:
    Op 06/07/2025 om 15:13 schreef Ross Finlayson:
    On 07/01/2025 04:29 AM, sobriquet wrote:
    Op 01/07/2025 om 07:16 schreef Ross Finlayson:
    On 06/30/2025 11:29 AM, Chris M. Thomasson wrote:
    On 6/28/2025 8:38 PM, Ross Finlayson wrote:
    Oh, been a while, figure I'll post.
    [...]

    An ellipse is nothing more than a circle projected in 3d? ;^)


    That's frivolous.

    An ellipse is constructible from a loop of string and two pegs.

    An image of a circle onto a plane as projected from
    an incident angle via 3D:  is not an ellipse, either.

    Ask your shadow.



    Looks like an ellipse to me:

    https://www.desmos.com/3d/syqqdp9cef?translucentSurfaces

    That's like AP and his ovals.

    Can you be specific? Are you denying that this is an ellipse?
    [...]

    y^2 + 3*x^2 = 1


    Or are you claiming that this is not the shape you get when you project
    a unit circle (centered on the origin) in a plane z = sqrt(2)*x onto the
    z=0 plane?



    There are ellipsoids of various sorts,
    and as for oblate spheroids, what "a
    traditional section of conics, ..., and
    a flashlight through it projected onto
    various surfaces", may result.

    ..., And the entire modern mathematical problem
    of elliptic curves and elliptic curve cryptography
    is broken by a guy with a sufficiently large setup
    of conic sections and flashlight and backdrop.

    Or, "they should've known, AP warned them."




    --- SoupGate-Win32 v1.05
    * Origin: fsxNet Usenet Gateway (21:1/5)