At the Spring and Autumnal solstices, are the sunrises perfectly eastward and the sunsets perfectly westward, night and day equal, all over the world?

At the Spring and Autumnal solstices, are the sunrises perfectly eastward and the sunsets perfectly westward, night and day equal, all over the world?
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You mean the sun rises at exactly true E on the compass, and sets at true W? No. Day and night equal, all over the world? Yes. Edit: I guess I was mistaken about the first part. http://solar-center.stanford.edu/AO/sunrise.html
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