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Well, at a minimum, there would be two cases:

1) where the crossings are co-linear
2) where they are not

I assume the latter would never work?  Where they are co-linear, it would seem 
that it would only give a single crossing point at a single solar elevation and 
time of day.

Sent from my iPad

> On Sep 3, 2020, at 4:34 AM, [email protected] wrote:
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> Today's Topics:
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>   1. Fake "trifilar" Sun Dial? (Siegfried Netzband)
> 
> 
> ----------------------------------------------------------------------
> 
> Message: 1
> Date: Thu, 3 Sep 2020 10:34:15 +0200 (CEST)
> From: Siegfried Netzband <[email protected]>
> To: "[email protected]" <[email protected]>
> Subject: Fake "trifilar" Sun Dial?
> Message-ID:
>    
> <1599122055890.148710.5cb4a77174fa75af79b9d2668db68da397c6c...@spica.telekom.de>
>    
> Content-Type: text/plain; charset="utf-8"
> 
> Dear sundialists,
> found the attached picture in an old archive and do not have any details 
> about it.
> The dial shown seems to be somethig like a "bifilar sundial with three 
> straight wires". The wires obviously do not touch one another. The picture 
> was taken at the moment when all wire shadows cross in one point on the 
> dial face suggesting that the sundial  shows the time at that moment (and 
> any other?). There is no dial face visible. What kind of sun dial is that - 
> what could be the idea behind it and it?s purpose?
> Is there anyboddy out threre who could answer the following questions and 
> can help me to solve my problem, i.e. clarify that sun dial:
> - Has any one seen that picture before? If so, do you have any details 
> about it? Please let me know.
> - The originator of that sun dial must have had some very special ideas 
> when constructing that sun dial. To the best of my knowledge a picture like 
> that where the shadows of three wires which do not touch one another, 
> mounted at different heights and angles across the face of the dial, cross 
> in one point on the face of the dial, can only be taken at at most 2 times 
> a year, each time at exactly the same solar time. Am I right or does there 
> realy exist something like a "trifilar sundial" as shown in the picture 
> idicating time over the year?
> - Taking the sun dial shown to a singular, simplistic extreme: At whatever 
> angles or hights multiple wires might run across a dial and touch each 
> other at their crrossing point, the dial would simply work and could be 
> calculated taking the crossing / touching point as the tip of the gnomon, 
> the node of the dial. Correct?
> - Does any one know wether H. Michnik, the inventor of the bifilar sun dial 
> and its theory in 1923,  has made any mathematical statement about 
> "multifilar sundails"?
> Thank you for your help and
> Kind Regards
> Siegfried
> 
> 
> Siegfried Netzband
> Hebelstr. 12
> 75233 Tiefenbronn
> Tel: 07234 2802
> Fax: 07234 942909
> Mob: 0151 53083636 / 0160 1531634
> E-Post: [email protected]
> Skype: siegfried75233<http://www.ferienhaus-frieseneck.de>
> 
> 
> 
> 
> 
> ?
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