well said Jack,

flat Earth and similar are unlikely :-)



Fabio

Fabio Savian
[email protected]
www.nonvedolora.eu
Paderno Dugnano, Milano, Italy
45° 34' 10'' N, 9° 10' 9'' E, GMT+1 (DST +2)

From: Jack Aubert 
Sent: Thursday, September 17, 2015 12:21 AM
To: 'Brent' ; 'sundial' 
Subject: RE: due east photos

Maybe it helps to bear in mind that while all triangles on a plane surfaces 
contain 180 degrees, this is not true on a sphere.  You cannot make a triangle 
on a plane surface that has two 90 degree angles because the sides will never 
meet.

 

On a sphere, however, a triangle can easily have two 90 degree angles.  If one 
side is congruent with the equator then the two sides will meet at the pole.  
The angle a the pole depends on the length of the equatorial side.  A triangle 
with three 90 degree angles will take up one eighth of the sphere’s surface.

 

East, west, north and south are spherical directions, not straight line on a 
plane surface.     

 

Jack Aubert

 

From: sundial [mailto:[email protected]] On Behalf Of Brent
Sent: Tuesday, September 15, 2015 9:47 PM
To: sundial
Subject: due east photos

 

I am having an off list discussion with Dave but I have a photo that you may 
find informative.

I resized them for the list so I hope you can see the latitude lines.

what you are seeing is my globe oriented on north south axis and correct angle 
for latitude.

I have a ruler close to my location with the zero on a latitude line

I am pointing the ruler due east, where the sun will rise on the equinox as it 
peaks over my horizon.

As we look straight down you see a deviation from the latitude line of about 1" 
at 4" on the ruler.

Just rough scale 4" = 4,000 miles so 1" equals 1,000 miles = 25% deviation.

My horizon is about 50 miles from here so when I look at the sunrise on the 
equinox my latitude is 
actually about 12.5 miles north of that point on the horizon.

So it's not an insignificant difference.

brent

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