due east

2015-09-15 Thread Brent
I'm confused maybe. I live in the northern hemishpere and anticipating the equinox on the 23rd. Supposedly the sun will rise due east. So if due east is a right angle from north south and I traveled due east I would not follow my line of latitude. I would get further and further south of my l

Re: due east

2015-09-15 Thread Ruud Hooijenga
Due east is a right angle from north-south.  Op 15 september 2015 om 16:10 schreef Brent : I'm confused maybe. I live in the northern hemishpere and anticipating the equinox on the 23rd. Supposedly the sun will rise due east. So if due east is a right angle from north sout

Re: due east

2015-09-15 Thread Ruud Hooijenga
Due east is a right angle from north-south. But the 'line' of latitude is not a great circle (except the equator, which is). So if you keep walking due east, you are really always curving towards the pole.Suppose you lived 1 meter from the North Pole; then you would walk along a circle of 2

Re: due east

2015-09-15 Thread Frank Evans
Hi Brent and all, Compass directions that are pursued make spiral curves towards the poles, if north of east-west then towards the north pole, if south of east-west then towards the south pole. If east or west then they do neither but continue east-west. Try Googling "loxodromic curve". It's w

Re: due east

2015-09-15 Thread Brent
If I was in halifax at sunrise on the equinox and the earth stopped rotating and I walked due east (towards the sun) across the ocean I would end up in Southern Spain and not on my same latitude which is in Southern France. So I conclude that latitude lines are not east-west lines. Correct? t

Re: due east

2015-09-15 Thread David Patte ₯
They are east-west lines, but they are not straight. They are circles. On 2015-09-15 12:30, Brent wrote: If I was in halifax at sunrise on the equinox and the earth stopped rotating and I walked due east (towards the sun) across the ocean I would end up in Southern Spain and not on my same lat

RE: due east

2015-09-15 Thread Andrew Pettit
Hello What fun! Methinks that the confusion arises because the earth is not a "plane" but a sphere. Mercator tried to project the sphere on to the plane and had curved lines of latitude. Another confusion is that there is more than one Halifax ;-) Andrew From: sundial [mailto:su

RE: due east

2015-09-15 Thread Roger W. Sinnott
Brent, The "small circle" route is the one that takes you on a curved path, always toward due east. You could also start out going due east on a "great circle" route, and in that case, as you note, the path would gradually veer southward. Both of these routes start out perpendicularly f

RE: due east

2015-09-15 Thread Andrew Pettit
See also Martin Gardner - Mathematical Carnival - Ch. 17 Andrew From: sundial [mailto:sundial-boun...@uni-koeln.de] On Behalf Of Brent Sent: 15 September 2015 17:30 To: Frank Evans Cc: sundial Subject: Re: due east If I was in halifax at sunrise on the equinox and the earth stopped

Re: due east

2015-09-15 Thread Brent
Roger; You seem to be saying there are /two/ due easts. How can that be right? Shouldn't there only be one due east? brent On 9/15/2015 9:42 AM, Roger W. Sinnott wrote: Brent, The “small circle” route is the one that takes you on a curved path, always toward due east. You could also star

Re: due east

2015-09-15 Thread Steve Lelievre
Brent, My 2 cents worth... If by tilt you meant the obliquity of the ecliptic, that doesn't affect things. Your question is about walking on a globe (3D), but I suspect you're imagining it like a flat map (2D). A map (assuming the map is a Mercator Projection) represents latitude as a strai

Re: due east

2015-09-15 Thread Richard Mallett
On 15/09/2015 17:42, Andrew Pettit wrote: Hello What fun! Methinks that the confusion arises because the earth is not a “plane” but a sphere. Mercator tried to project the sphere on to the plane and had curved lines of latitude. Another confusion is that there is more than one Halifax ;-)

Re: due east

2015-09-15 Thread Mark Gingrich
Roger Sinnott wrote: > You could also start out going due east on a "great circle" route, and in > that case, as you note, the path would gradually veer southward. Indeed. And here's a curious bit of related trivia: If you start due east from *any* latitude and travel a great circle route --

Re: due east

2015-09-15 Thread Brent
I think we all agree the sun rises (appears to rise) due east on the equinox. If the earth stops and the sun stops and I start walking towards the sun (on the surface of the earth) I believe I would be walking a straight line - due east. And I would not be adjusting my direction each step, I j

Re: due east

2015-09-15 Thread Steve Lelievre
On 15/09/2015 10:34, Brent wrote: I think we all agree the sun rises (appears to rise) due east on the equinox. If the earth stops and the sun stops and I start walking towards the sun (on the surface of the earth) I believe I would be walking a straight line - due east. Ok, it's sunrise a

Re: due east

2015-09-15 Thread Michael Ossipoff
Hi Brent-- The paradox involves what you mean by "travel due east'. If you travel due east, and keep on traveling due east at every point of your journey, then you will indeed follow a parallel of latitude. If you were to drive your car in that fashion, always going due east, along a parallel of

Re: due east

2015-09-15 Thread Brent
Michael; Ok, let's make it easier. On any day I want to stand in my backyard and look due east. I don't want to travel anywhere. Do I look at where the sun will rise on the equinox or do I look slightly to the left of that? (northern hemisphere) If you tell me to look slightly to the left of

Re: due east

2015-09-15 Thread koolish
> Mark Gingrich wrote: > Indeed. And here's a curious bit of related trivia: If you > start due east from *any* latitude and travel a great circle > route -- i.e. "straight" -- a distance of one quarter of the > Earth's circumference, you *always* end up on the equator. > > This also works from t

Re: due east photos

2015-09-15 Thread koolish
At any point on the earth, there is one great circle that is tangent to your latitude circle. That means that at that infinitesimally small point, both circles point in the same direction, i.e due east, but only at that point. Also note that the plane that cuts the earth at any latitude is perpend

latitude circumference

2015-09-15 Thread Brent
I think the ruler in this photo depicts plane of the great circle. Maybe the angle between the great circle and the latitude circle can be used to find the circumference of the latitude circle. At this latitude the angle is 1 inch divided by 4 inches = .25 If I multiply times the circumferenc