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Ancient mathematicians had a variety of measuring tools at their disposal, including ropes, strings, knots, sticks, and shadows. These tools were used for measuring distances, angles, areas, and volumes, and were often based on physical reference points, such as the human body or the local environment.
For example, the ancient Egyptians used a knotted rope called a "surveyor's rope" to measure land for agricultural purposes. They also used a "water clock" to measure time, which was based on the flow of water from one container to another.
The ancient Greeks, on the other hand, used a device called a "gnomon" to measure the height of the sun in the sky, which they used to calculate the length of the day and the angle of the Earth's tilt.
Today, we have a much wider variety of measuring tools available, including rulers, tape measures, protractors, compasses, lasers, GPS systems, and sophisticated computer software. These tools are typically more accurate, precise, and efficient than the measuring tools of the past, and allow us to measure and analyze a wider range of phenomena with greater speed and accuracy. However, many of these modern tools are based on the same principles and concepts as the tools used by ancient mathematicians, and build on the knowledge and expertise developed over thousands of years of mathematical inquiry and discovery.
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