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Measurement of the Earth's radius based on historical evidence of its curvature

机译：根据地球曲率的历史证据测量地球半径

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摘要

Probably the most direct observation of the Earth’s curvature is how objects appear from over the horizon when we approach them and disappear as we get further away from them. Similarly, the portion of a high object (a building or a mountain) that is visible depends on the height of the site where the observation is made. Based upon these very obvious facts, a simple method to estimate the Earth's radius R has been applied. The method does not need either sophisticated instrumentation or complex mathematics. In our application of the method presented here, the result is R = 6600 ± 600 km in the best case. A discussion is presented about the possible use of this method in ancient times. Surprisingly enough, we have not found any reference to the use of this method despite its being simpler than, for example, the classical approach of Eratosthenes.
机译：对地球曲率的最直接观察可能是当我们接近物体时，物体从地平线上方出现的方式，而在我们离物体越来越远时消失的方式。类似地，高物体（建筑物或山脉）的可见部分取决于进行观测的地点的高度。基于这些非常明显的事实，已应用了一种简单的方法来估算地球半径R。该方法不需要复杂的仪器或复杂的数学。在我们此处介绍的方法的应用中，在最佳情况下，结果为R = 6600±600 km。讨论了在古代可能使用此方法的问题。出乎意料的是，尽管这种方法比例如Eratosthenes的经典方法更简单，但我们仍未找到任何使用此方法的参考。

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