RE: Hail to the Chief

2018-01-23 Thread Wojtek Galinski
Dear Rolf, I would be interested in the mathematical formulae behind your result as copied below. Could you please share them with us? Best regards, Wojtek From: Rolf Wieland Sent: Tuesday, January 23, 2018 10:31 AM To: Frank King Cc: sundial@uni-koeln.de Subject: Hail to the Chief Dear

Re: Hail to the Chief

2018-01-23 Thread Frank King
Dear Rolf, Many thanks for that diagram. It makes everything very clear. Where I live, at 52N, there is very little change in the width of the shadow of a rod gnomon over the course of the day. Almost no one notices it. In the tropics, the change is much more obvious. You can see why I chose

Hail to the Chief

2018-01-23 Thread Rolf Wieland
Dear Frank,   Yes, the width of the shadow of a round rod polos with 0.5" in diameter is not always the same. I realized this not before 2009 when I was already engaged in sundials for at least 25 years!   The figure shows the width w without penumbra on a horizontal dial as function of the

Re: Hail to the Chief

2018-01-18 Thread john.pickard
al Message- From: Frank King Sent: Thursday, January 18, 2018 10:03 PM To: john.pick...@bigpond.com Cc: sundial@uni-koeln.de ; Frank King Subject: Re: Hail to the Chief Dear John, A moot point... ... why should any sane normal person want to help Trump... Ah. I was thinking in terms of &qu

Re: Hail to the Chief

2018-01-18 Thread Frank King
Dear Geoff and John, > Surely Geoff Thurston is right? Yes. He is! You don't even need to think in three dimensions. The edges of the shadow must run to the base of the gnomon and must touch tangentially. The base is indeed an ellipse. The contact points are always opposite one another (by

Re: Hail to the Chief

2018-01-18 Thread John Foad
in the December Bulletin, p 38), the result is clear from the positions of the lines for 6am and 6pm. Best wishes, John -Original Message- From: Frank King Sent: Wednesday, January 17, 2018 6:04 PM To: sundial@uni-koeln.de Subject: Hail to the Chief Dear All, I gather from the UK media

Re: Hail to the Chief

2018-01-18 Thread Frank King
Dear John, A moot point... > ... why should any sane normal > person want to help Trump... Ah. I was thinking in terms of "displacement therapy". Thinking about sundials must be better for one's mental health than drinking copious quantities of Diet Coke? Just trying to be helpful :-) Frank

Re: Hail to the Chief

2018-01-18 Thread Gianni Ferrari
Very quickly. The reason is the diameter of the Sun and the different distances between a point of the rod and its shadow at noon and at sunset. At summer solstice, for example, if 10 is the distance of a point P from the center of the sundial, the distances between P and its shadows are (if I'm

Re: Hail to the Chief

2018-01-18 Thread Geoff Thurston
Dear Frank, Can I help the POTUS? No. Can I answer your question? Maybe but I am not used to working in imperial units. Consider a horizontal cross section of the gnomon at any height above the dial plate. The shape of the section would be an ellipse with minor axis equal to 0.5" aligned

Re: Hail to the Chief

2018-01-17 Thread john.pickard
@uni-koeln.de Subject: Hail to the Chief Dear All, I gather from the UK media that the recent medical check-up undertaken by the U.S. President involved some "cognitive tests" and he scored 30 out of 30. One of these tests requires the subject to mark in the hands of a clock at a spec

Hail to the Chief

2018-01-17 Thread Frank King
Dear All, I gather from the UK media that the recent medical check-up undertaken by the U.S. President involved some "cognitive tests" and he scored 30 out of 30. One of these tests requires the subject to mark in the hands of a clock at a specified time. It is, of course, reassuring to know