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.
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
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? ;^)
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.
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."
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?
[...]
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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