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## A Community Devoted to the Preservation and Practice of Celestial Navigation and Other Methods of Traditional Wayfinding

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Re: Mathematical Question
From: Robert Eno
Date: 2002 Sep 19, 23:18 -0400

```This is going to be a tough one!

I don't mean a spherical triangle but you are all on the right track...

Let's say you were to start at the north pole of a sphere and then excised
the portion of the sphere from 90 degrees to 80 degrees. Now let's say you
are just excising the surface portion. It would have a spherical surface but
would be lens shaped.

I'm starting to confuse even myself.
----- Original Message -----
From: Vic Fraenckel
To:
Sent: Thursday, September 19, 2002 9:47 PM
Subject: Re: Mathematical Question

> Is this not a spherical triangle? Prehaps I misunderstand your
description?
>
> Vic
> ________________________________________________________
>
> Victor Fraenckel - The Windman                 vfraenc1{at}nycap.rr.com
> KC2GUI
www.windsway.com
>
>       Home of the WindReader Electronic Theodolite
>                                Read the WIND
>
> "Victory at all costs, victory in spite of all terror, victory however
long
> and hard the road may be; for without victory there is no survival."
> - Winston [Leonard Spencer] Churchill (1874 - 1965)
>
> Dost thou not know, my son, with how little wisdom the world is governed?
> -Count Oxenstierna (ca 1620)
>
> ----- Original Message -----
> From: "Robert Eno"
> To:
> Sent: Thursday, September 19, 2002 9:09 PM
> Subject: Re: Mathematical Question
>
>
> | Ok, let's say that it has a lensatic shape and a circular base. What
would
> | it be called?
> |
> | I may have erred in my description. I guess and arc is two dimensional
> | whereas it's spherical equivalent would be three dimensional.
> |
> |
> | ----- Original Message -----
> | From: Brian Whatcott
> | To:
> | Sent: Thursday, September 19, 2002 9:02 PM
> | Subject: Re: Mathematical Question
> |
> |
> | > At 07:30 PM 9/19/02, you wrote:
> | > >Greetings list,
> | > >
> | > >Given the rather esoteric nature of some of the recent discussions, I
> am
> | > >hopeful that one of you will have the answer to a long-standing
> question
> | > >of mine.
> | > >
> | > >What is the term used to describe a small 2 dimensional section of a
> | > >sphere? Or to put it another way, if a small section of a circle is
> | called
> | > >an "arc", what is the equivalent in a sphere?
> | > >
> | >
> | > A spherical surface may have an irregular perimeter, or be a
> | > spherical triangle, or spherical polygon, or a spherical segment of
one
> | base
> | >   according to
> | > Math Dictionary, James & James, Van Nostrand.
> | >
> | >
> | >
> | > Brian Whatcott
> | >    Altus OK                      Eureka!
> | >
> |
>

```
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