Spherical Earth: History of the Idea

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Questions and Answers

Which observation made by Anaxagoras supported the idea of a spherical Earth?

  • Stars appeared higher in the sky when traveling north.
  • The phases of the moon were directly related to the Earth's position.
  • Ships disappeared hull first over the horizon.
  • The Earth's shadow during a lunar eclipse was circular. (correct)

How did Aristotle use the position of the North Star to argue for a spherical Earth?

  • The North Star was only visible from certain longitudes.
  • The North Star's brightness changed with the seasons.
  • The North Star disappeared below the horizon as one traveled south.
  • The height of the North Star in the sky varied depending on the observer's location. (correct)

Eratosthenes used the differing angles of shadows in Alexandria and Syene to calculate what property of Earth?

  • The density of Earth's core
  • The circumference of Earth (correct)
  • The tilt of Earth's axis
  • The distance to the moon

Why were circles and spheres considered 'perfect forms' by Pythagoras, influencing his view of Earth's shape?

<p>They represented the most symmetrical and harmonious shapes. (B)</p> Signup and view all the answers

During a lunar eclipse, what shape of shadow would a flat, disc-shaped Earth cast on the Moon?

<p>An oval shape (D)</p> Signup and view all the answers

Besides lunar eclipses, what other observation did Aristotle use to support the idea of a spherical Earth?

<p>The disappearance of ships hull first over the horizon (C)</p> Signup and view all the answers

Before telescopes, what led astronomers to understand astronomical phenomena?

<p>Careful naked-eye observations (C)</p> Signup and view all the answers

What aspect of Earth's shape is described by the term 'oblate spheroid'?

<p>Its flattening at the poles and bulging at the equator (D)</p> Signup and view all the answers

How did the understanding of Earth's shape transition from Pythagoras to the time of Apollo 8's 'Earthrise' photograph?

<p>It evolved from philosophical arguments to observational and then photographic evidence. (B)</p> Signup and view all the answers

If Eratosthenes measured the distance from Alexandria to Syene as 5000 stadia, and one stadium is 0.167 km, what was the distance in kilometers?

<p>835 km (C)</p> Signup and view all the answers

What was the key insight that allowed Eratosthenes to estimate Earth's circumference with reasonable accuracy?

<p>The sun's rays are parallel when they reach Earth. (D)</p> Signup and view all the answers

Tycho Brahe's meticulous astronomical observations primarily contributed to what advancement?

<p>The formulation of Kepler's laws of planetary motion. (B)</p> Signup and view all the answers

What fundamental belief about celestial motion did Kepler's Laws, derived from Brahe's data, challenge?

<p>That planets moved in perfect circles. (C)</p> Signup and view all the answers

Which early philosopher's idea about a spherical Earth was circulated more widely due to his dialogues?

<p>Plato (A)</p> Signup and view all the answers

What did Eratosthenes use to calculate the circumference of the Earth?

<p>The shadows cast by objects at different locations (C)</p> Signup and view all the answers

Flashcards

Earth's Shape

The shape of the Earth is best described as an oblate spheroid, which is a sphere that is slightly flattened at its poles and bulging at the equator due to the centrifugal force caused by the Earth's rotation.

Pythagoras's Idea

He believed circles and spheres to be perfect forms and suggested that Earth should be a sphere just like that of the Moon's shape.

Anaxagoras's Observation

He supported Pythagoras' idea of a spherical Earth and observed that the Earth's shadow during a lunar eclipse was circular, which only a sphere could consistently cast.

Plato's Belief

He adopted the idea of a spherical Earth in his 4th and final dialogue Phaedo, given in a crowd and somewhat led to a broader circulation 400 BC.

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Aristotle's Evidence

He presented ideas about a spherical Earth base on the position of the North Star, phases of the Moon, shape of the Sun and Moon, and ship's disappearance when they sail to the horizon.

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Eratosthenes's Calculation

Eratosthenes calculated the circumference of the Earth through his calculations. He measured the distance in Alexandria to be 5000 stadia north of Syene.

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Lunar Eclipse Shadow

The circular shadow cast on the Moon during a lunar eclipse provides evidence that the Earth is spherical.

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Ships Disappearing Hull First

As ships sail away from an observer, they appear to sink below the horizon, with the hull disappearing first and the mast last. This is because the Earth is curved.

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Varying Angle of the North Star

In different locations, the angle to the North Star (Polaris) varies. This wouldn't happen on a flat Earth, but it does on a sphere.

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Study Notes

  • Earth is not the center of the universe.
  • Earth is spherical.

Lesson Outcomes

  • Learn how the Greeks knew that the Earth is spherical.
  • Learn about astronomical phenomena known to astronomers before telescopes.
  • Learn how Brahe's innovations and data in astronomy paved the way for Kepler's laws of planetary motion.

Earth's Shape

  • Earth's shape is a sphere, specifically an oblate spheroid.
  • Apollo 8's photo of Earth is known as "Earthrise".

Pythagoras (500 BC)

  • Pythagoras believed circles and spheres are perfect forms.
  • He suggested that Earth should be a sphere resembling the Moon's shape.

Anaxagoras

  • Anaxagoras supported Pythagoras' idea of a spherical Earth.
  • Anaxagoras observed that the Earth's shadow during a lunar eclipse is circular.
  • A sphere can only cast a circular shadow.

Plato

  • Plato adopted the idea of a spherical Earth in his 4th and final dialogue Phaedo.
  • Idea was presented in a crowd which led to a broader circulation 400 BC.

Aristotle

  • Aristotle presented ideas about a spherical Earth.
  • He based it on the position of the North Star.
  • As well as phases of the Moon, the shape of the Sun and Moon, and ship's disappearance at the horizon.

Eratosthenes

  • Eratosthenes argued that the Earth is spherical.
  • He concluded this through the difference of the shadows cast at Alexandria and Syene at the same time of day.
  • Eratosthenes calculated the circumference of the Earth.
  • The measured distance from Alexandria to Syene was 5000 stadia north.
  • One stadium is about 0.167 km today.
  • Alexandria to Syene has a curvature of 7 degrees.
  • There are 360 degrees circumference.

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