They used triangulation to measure the distance between two points from "summary" of The Measure of All Things by Ken Alder
To measure the distance between two points, the astronomers embarked on a method known as triangulation. This technique involved setting up a baseline between two known points on the ground, then using a theodolite to measure the angles to a distant target. By forming a triangle with the baseline and the target as two sides, they could then calculate the distance to the target using trigonometry. Triangulation was not a simple task, as it required careful measurements and precise calculations. The astronomers had to account for factors such as the curvature of the Earth, atmospheric refraction, and the possibility of errors in their instruments. Despite these challenges, they persevered in their quest for accuracy. The success of triangulation depended on the skill and expertise of the astronomers involved. They had to ensure that their measurements were consistent and reliable, taking multiple readings to account for any discrepancies. By working together and comparing their results, they were able to validate their findings and produce more accurate measurements. Triangulation was a groundbreaking technique that revolutionized the way distances were measured. It allowed astronomers to map out the world with unprecedented precision, laying the foundation for future scientific discoveries. Through their dedication and ingenuity, the astronomers of the past were able to unlock the secrets of the universe and expand our understanding of the world around us.
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