Here is a great Argument for Qiblah on Spherical world. This Article addresses Qiblah from North America.
http://www.moonsighting.com/qibla.html
Qibla Direction from North America:
Some people think that Qibla from North America is South-East, while others say it is generally North-East. Those who favor South-East are mislead by looking at the flat map with an argument that Makkah is south and East of North America. They are under a fallacy created by looking at a flat map of the world. We all konw that the earth is more like a sphere. North Pole is a point from where every direction is South; there is no East or West from there. If you take a globe and stretch a thread from Alaska to Makkah, you will see that the thread passes through or close by North Pole. So, the Qibla from Alaska will be towards North. On a flat map, it appears to be South-East from Alaska, which is not correct.
The map on the right is a true projection of the globe keeping Makkah at the center of projection. This projection allows us to draw a line from any place to Makkah and note the angle from the longitude lines. That gives the Qibla from North. For example, take Alaska, and draw a line from Alaska to Makkah (as shown by blue line). You will see that the line passes through North Pole, so the Qibla from Alaska is due North. Curved lines on this map are longitude lines and they all meet at South and North Poles. They are not like latitude lines that are parallel to each other and do not meet. Take another example, Miami. The green line from Miami to Makkah makes an angle of about 56° from the longitude line that goes to North Pole. So, the Qibla from Miami is 56° to East from North.
If that is confusing, then let us think that there is a very high minaret over Ka’bah, so high that it reaches the sky. Everyone would agree that if we can see that minaret, facing to that is the direction of Qibla. Now, Allah (SWT) has provided that imaginary minaret in the form of the sun being at the top of that minaret. It has been observed for centuries that there are two days in a year (May 28 and on July 15) when sun comes exactly overhead Ka’bah at the local noon time. Muslims in many distant countries for centuries used to wait for these dates, in the hope to see which direction is the sun and then set the orientation of the mosques.
It has been observed that around noon time of Makkah, it is about 6 am in Nova Scotia, Canada and Maine, USA. The sun rises in those locations as it comes overhead Makkah at local noon time. Facing the sun on those two dates around 6 am gives the correct direction of Qibla from North America. Those who had observed this confirmed that they saw the sun in North East direction at the specified time and date. Therefore, it is correct to say that Qibla from North America is generally North-East, except from Alaska and California where it is close to North direction.
The actual direction of the sun observed verifies with the angle calculated using Spherical Trigonometry for calculating the direction from one point to another. For the 48 contiguous states of USA, the Qibla is some angle between North and East; the angle varies from location to location. The precise value of what angle from North one should turn to face the Qibla can be calculated from Spherical Trigonometry, using Great Cirlce concept or shortest distance theory, assuming the earth is a sphere. The fact that the earth is a geoid (ellipsoid flattened at the poles) affects the results in negligible and practically immeasurable quantities.
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If you have Acrobat Reader, you will view this paper in your browser and can print it from there, or send e-mail to Dr. Kamal Abdali.
http://www.moonsighting.com/qibla.html
Qibla Direction from North America:
Some people think that Qibla from North America is South-East, while others say it is generally North-East. Those who favor South-East are mislead by looking at the flat map with an argument that Makkah is south and East of North America. They are under a fallacy created by looking at a flat map of the world. We all konw that the earth is more like a sphere. North Pole is a point from where every direction is South; there is no East or West from there. If you take a globe and stretch a thread from Alaska to Makkah, you will see that the thread passes through or close by North Pole. So, the Qibla from Alaska will be towards North. On a flat map, it appears to be South-East from Alaska, which is not correct.
The map on the right is a true projection of the globe keeping Makkah at the center of projection. This projection allows us to draw a line from any place to Makkah and note the angle from the longitude lines. That gives the Qibla from North. For example, take Alaska, and draw a line from Alaska to Makkah (as shown by blue line). You will see that the line passes through North Pole, so the Qibla from Alaska is due North. Curved lines on this map are longitude lines and they all meet at South and North Poles. They are not like latitude lines that are parallel to each other and do not meet. Take another example, Miami. The green line from Miami to Makkah makes an angle of about 56° from the longitude line that goes to North Pole. So, the Qibla from Miami is 56° to East from North.
If that is confusing, then let us think that there is a very high minaret over Ka’bah, so high that it reaches the sky. Everyone would agree that if we can see that minaret, facing to that is the direction of Qibla. Now, Allah (SWT) has provided that imaginary minaret in the form of the sun being at the top of that minaret. It has been observed for centuries that there are two days in a year (May 28 and on July 15) when sun comes exactly overhead Ka’bah at the local noon time. Muslims in many distant countries for centuries used to wait for these dates, in the hope to see which direction is the sun and then set the orientation of the mosques.
It has been observed that around noon time of Makkah, it is about 6 am in Nova Scotia, Canada and Maine, USA. The sun rises in those locations as it comes overhead Makkah at local noon time. Facing the sun on those two dates around 6 am gives the correct direction of Qibla from North America. Those who had observed this confirmed that they saw the sun in North East direction at the specified time and date. Therefore, it is correct to say that Qibla from North America is generally North-East, except from Alaska and California where it is close to North direction.
The actual direction of the sun observed verifies with the angle calculated using Spherical Trigonometry for calculating the direction from one point to another. For the 48 contiguous states of USA, the Qibla is some angle between North and East; the angle varies from location to location. The precise value of what angle from North one should turn to face the Qibla can be calculated from Spherical Trigonometry, using Great Cirlce concept or shortest distance theory, assuming the earth is a sphere. The fact that the earth is a geoid (ellipsoid flattened at the poles) affects the results in negligible and practically immeasurable quantities.
.If you have Acrobat Reader, you will view this paper in your browser and can print it from there, or send e-mail to Dr. Kamal Abdali.
