At first glance, I wasn’t quite sure what to make of the image. My initial observations focused on the rope and what appeared to be the exchange of some kind of crop or grain. However, after reading the short paper, it became clearer that the ancient scene depicted people using a rope for measurement.
One detail that stood out to me was the unit called the remen, which I hadn’t encountered before. The remen is defined as half the diagonal of a square with sides of one royal cubit—remarkably close to the modern concept of a unit square with a hypotenuse of √2. I had never really considered how practically useful √2 could be in real-world applications until reading this. The ability to halve or double areas using proportions and ratios would have been incredibly valuable, especially for tasks like land distribution.
I had already suspected that celestial observations played a major role in measuring angles. As one of my classmates mentioned in class, it's fascinating how accurately ancient mathematicians were able to estimate the Earth's circumference using simple observations of shadows and basic tools like sundials, bays, merkhets, and plumb bobs (three of which I had never heard of before!).
After doing a quick Google search to learn more about what a merkhet is, I started to wonder how interesting it would be to compare this ancient tool with the modern technologies we use today to observe the stars.
1) What are some modern tools or technologies for observing celestial bodies (such as telescopes, satellites, and space probes), and how do they improve upon- or differ from- ancient tools like the merkhet?
You’ve made thoughtful connections between the remen, √2, and land measurement, and also linked ancient tools like the merkhet to modern technologies. I wonder how comparing ancient and modern tools might help us appreciate the creativity and problem-solving of early civilizations.
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