[ot][ot][ot][personal] whirligig small thoughts

[Undescribed Horrific Abuse, One Victim & Survivor of Many]

On 8/1/23, Undescribed Horrific Abuse, One Victim & Survivor of Many
<gmkarl at gmail.com> wrote:
>> a wedge made of a stack of triangles, each one with area of 1/2 r^2
>> dtheta
>> where r is the radius of a sphere slice
>> uhh so that's really sqrt(r^2 - x) where x runs from -r to +r
>>
>> two different r's here let's subscript them
>> a wedge made of a stack of triangles
>> each one with area of 1/2 r_slice^2 dtheta
>> now,
>> r_slice^2 + height^2 = r_sphere^2
>
> cognitive maintenance habit
> looks like the problem happened after this point
>
>> so if we run x=height from -r to r
>> r_slice = sqrt(r_sphere^2 - x^2)
>>
>> then maybe plug in to other expression
[somewhere near right here we failed to include important information;
forgot something
important]
[the x=height line should have retained information regarding the goal
of integration, for the dvolume line below. it did not.
i collect informaiton on the problem but it is hard to heal.]
>>
>> dvolume = 1/2 sqrt(r_sphere^2 - x^2)^2 dtheta
>
> and before this point
>
> important to drill down and find the choice that needs [more
> neuron/decisions?] {we think a little maybe in terms of "hooks" and
> "triggers" --
>
>> dvolume = 1/2(r_sphere^2 - x^2) dtheta
>>
>> maybe unsure
>>
>