State the problem: How can we prove Earth is round and calculate its circumference?
Make a hypothesis: If the sun casts shadows at different angles at the same time of day in different places, we can determine how much Earth curves.
Make observations and collect data: In Syene, the sun's rays are vertical at noon. At the same time in Alexandria, the rays are 7.2 degrees from the vertical.
The necessary safety precautions when conducting an experiment depend on what is done during the experiment and where it is done.
conducting means controlling so controlling the experiment is find the result of the data plan.
Of the experiment, Observation. Of the entire process, conclusion.
conclusion
In an experiment, a mean needs to be determined if the experiment is quantifiable. The mean usually indicates the variation in the results.
Eratosthenes calculated the Earth's circumference by measuring shadows at two different locations at the same time. He then used the angles of the shadows cast by a vertical stick to calculate the Earth's circumference using geometry and trigonometry. By comparing the shadow angles at two different locations, Eratosthenes was able to estimate the Earth's size accurately.
Eratosthenes observed that the sun cast no shadow in one city (Syene) on the summer solstice, while it did cast a shadow in another city (Alexandria). By measuring the angle of the shadow in Alexandria, he was able to calculate the angle between the two cities and estimate the Earth's circumference based on the distance between them.
Make observations: Eratosthenes observed that the sun cast shadows at different angles in different locations. Formulate a hypothesis: He hypothesized that the Earth was spherical and that he could calculate its circumference using the angle of the sun's shadows. Test the hypothesis: He measured the angle of the shadow in Alexandria and used this to calculate the circumference of the Earth. Analyze the results: By comparing his calculated circumference to the actual distance between Alexandria and Syene, he was able to estimate the Earth's circumference with remarkable accuracy.
Make an observation that the sun casts no shadow in one well in Syene on the summer solstice. Form a hypothesis that the Earth is round based on the angle of the sun's rays at a different well in Alexandria. Conduct an experiment to measure the angle of the sun's rays at the different locations. Analyze the data and use geometry to calculate the circumference of the Earth.
To set up an experiment using Eratosthenes' method to find the Earth's circumference, you need to select two distant locations and measure the distance between them. Then, measure the angle of the shadow cast by a vertical stick at each location during the same time of day. Finally, use the difference in the angles and the distance between the locations to calculate the Earth's circumference using trigonometry.
It is called an experiment.
The necessary safety precautions when conducting an experiment depend on what is done during the experiment and where it is done.
conducting means controlling so controlling the experiment is find the result of the data plan.
conducting an experiment
Of the experiment, Observation. Of the entire process, conclusion.
evaluate
conclusion