Universe
11th Edition
ISBN: 9781319039448
Author: Robert Geller, Roger Freedman, William J. Kaufmann
Publisher: W. H. Freeman
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Chapter 3, Problem 48Q
To determine
To explain: The method used by Eratosthenes to measure the Earth’s size.
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How would Eratosthenes’s estimate have been different if the sun were actually closer to Earth?
Please give explanation and answer to this question.
Suppose, we recently discovered a new planet named Concordia. If for 15 degrees
difference, the distance between Cansae City and and Cantabrigia City would have
been 6050 stadia. According to Erasthosthenes' calculation, what would have been
the circumference of Concordia?
5.45E5 stadia
2.45E5 stadia
4.45E5 stadia
1.45E5 stadia
3.45E5 stadia
Chapter 3 Solutions
Universe
Ch. 3 - Prob. 1CCCh. 3 - Prob. 2CCCh. 3 - Prob. 3CCCh. 3 - Prob. 4CCCh. 3 - Prob. 5CCCh. 3 - Prob. 6CCCh. 3 - Prob. 7CCCh. 3 - Prob. 8CCCh. 3 - Prob. 9CCCh. 3 - Prob. 10CC
Ch. 3 - Prob. 11CCCh. 3 - Prob. 12CCCh. 3 - Prob. 13CCCh. 3 - Prob. 14CCCh. 3 - Prob. 1CLCCh. 3 - Prob. 1QCh. 3 - Prob. 2QCh. 3 - Prob. 3QCh. 3 - Prob. 4QCh. 3 - Prob. 5QCh. 3 - Prob. 6QCh. 3 - Prob. 7QCh. 3 - Prob. 8QCh. 3 - Prob. 9QCh. 3 - Prob. 10QCh. 3 - Prob. 11QCh. 3 - Prob. 12QCh. 3 - Prob. 13QCh. 3 - Prob. 14QCh. 3 - Prob. 15QCh. 3 - Prob. 16QCh. 3 - Prob. 17QCh. 3 - Prob. 18QCh. 3 - Prob. 19QCh. 3 - Prob. 20QCh. 3 - Prob. 21QCh. 3 - Prob. 22QCh. 3 - Prob. 23QCh. 3 - Prob. 24QCh. 3 - Prob. 25QCh. 3 - Prob. 26QCh. 3 - Prob. 27QCh. 3 - Prob. 28QCh. 3 - Prob. 29QCh. 3 - Prob. 30QCh. 3 - Prob. 31QCh. 3 - Prob. 32QCh. 3 - Prob. 33QCh. 3 - Prob. 34QCh. 3 - Prob. 35QCh. 3 - Prob. 36QCh. 3 - Prob. 37QCh. 3 - Prob. 38QCh. 3 - Prob. 39QCh. 3 - Prob. 40QCh. 3 - Prob. 41QCh. 3 - Prob. 42QCh. 3 - Prob. 43QCh. 3 - Prob. 44QCh. 3 - Prob. 46QCh. 3 - Prob. 47QCh. 3 - Prob. 48QCh. 3 - Prob. 49QCh. 3 - Prob. 50QCh. 3 - Prob. 53Q
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- Which two-dimensional (2D) and three-dimensional (3D) shapes did Plato and Aristotle consider perfect? Give an example of a 2D and 3D nonperfect geometrical shape.arrow_forwardSuppose Eratosthenes’ results for Earth’s circumference were quite accurate. If the diameter of Earth is 12,740 km, what is the length of his stadium in kilometers?arrow_forwardSuppose Eratosthenes had found that, in Alexandria, at noon on the first day of summer, the line to the Sun makes an angle 30° with the vertical. What, then, would he have found for Earth’s circumference?arrow_forward
- Saturn has an angular size of 16”, and an observed Synodic Period of 1.035yrs. Saturn’s moon, Titan orbits the planet with an angular separation of 192”, with a period of 15.9days. From these observations we can determine Saturn’s mass. Use the Sidereal Period of Saturn above to find the distance to Saturn from the Sun.arrow_forwardThe shadow cast by a vertical pillar in Alexandria at noon during the summer solstice is found to be 1/8 the height of the pillar. The distance between Alexandria and Syene is 1/8 Earth’s radius. Is there a geometric connection between these two 1-to-8 ratios?arrow_forwardSuppose Eratosthenes’ results for Earth’s circumference were quite accurate. If the diameter of Earth is 12,740 km, what is the length of his stadium in kilometers?arrow_forward
- suppose eratosthenes results for earth's circumference were quite accurate if the diameter of the earth is 12,470 km what is the length of his stadium inarrow_forwardHow did Aristotle apply the scientific method to lunar eclipses?arrow_forwardWhat ancient evidence was found for a spherical Earth? (This question will show a checkbox next to each answer, and you must select ALL the correct answers and none of the wrong ones) the different angles of equinox shadows measured at cities in Egypt by Eratosthenes the curved shape of Earth's lunar eclipse shadow Circumnavigation of the earth the subtle curvature of the horizon sighted by the Greek astronomer, Metaxa The Pythagorean Theoremarrow_forward
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