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A tale of two bridges and a round Earth

机译:两座桥和一个圆形地球的故事

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摘要

Columbus concluded that Earth is round while watching a distant ship sink beneath the horizon. You too can observe the curvature of Earth on the San Francisco Bay (and other places); not only that: you can determine Earth’s radius from such observations. I present here a method to use the vertical shift between two bridges over the Bay due to Earth’s curvature as seen in a photograph, where the more distant bridge is apparently lower than the proximate one (as shown in Fig. 1). Starting with each bridge’s known dimensions and location and applying atmospheric refraction corrections and then measuring the vertical shift between the two bridges on the image allows a calculation of Earth’s radius within a surprising 1 of the accepted value.
机译:哥伦布在看着一艘遥远的船沉入地平线时得出结论,地球是圆的。您也可以在旧金山湾(和其他地方)观察地球的曲率;不仅如此:你可以从这样的观测中确定地球的半径。我在这里提出了一种方法,利用由于地球曲率而在海湾上的两座桥梁之间的垂直移动,如照片所示,其中较远的桥梁明显低于最近的桥梁(如图 1 所示)。从每座桥梁的已知尺寸和位置开始,应用大气折射校正,然后在图像上测量两座桥梁之间的垂直位移,就可以在可接受值的惊人 1% 内计算地球半径。

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