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what 4 big things in society originated from the greeks
scientific thought
philosophy
politics
the arts
what were the 3 main periods of time in ancient greeks
archaic
classical
hellenistic
who were the 3 big guys in the archaic period
Thales, Anaximander, Pythagoras
who were the 3 big guys in the classical period
Socrates, Plato, Aristotle
who were the 3 big guys in the hellenistic period
Aristarchus, Archimedes, Eratosthenes
what event ended the classical period
death of alexander the great
what event ended the hellenistic period
battle of actium and rise of the roman empire
ancient greece was a loose connection of ____________ ____-_______
independent city-states
what were 3 pros of ancient greece being a loose collection of city-states
freedom of thought
active trade
interchange of ideas
what were 2 cons of ancient greece being a collection of city-states
frequent wars
travel was hard
the ancient greeks weren’t special because they were the first astronomers or mathematicians, rather, they were special because they were the first to look for ________ _________ for these phenomena in a systematic way
rational explanations
name the dude:
founder of greek philosophy
first to use scientific philosophy
orderly universe
diverse natural phenomena could have a common cause
“all things are water”
predicted solar eclipse of 585 BC
thales of miletus
name the dude:
student of thales
lived in miletus
gnomon as sundial
concept of infinity (apeiron)
mechanical model of universe
inhabited portion of earth is flat
the sun and moon are really hollow holes that let fire shine through
anaximander
name the dude:
founder of geometry
“all is number”
cosmos
venus = morning/evening stars
earth is a sphere
discovered 5 regular solids
pythagoras
name the dude:
moon = sphere made of ordinary matter
sun = hot sone
convicted of impeity
anaxagoras
name the dude:
air = finely divided matter
four elements = earth, water, air, fire
Empedocles
name the dude:
atomic theory: all matter made of particles
milky way is the light from a collection of indistinguishable stars
Leucippus and Democritus
name the dude:
student of socrates
dialect method: truth established through dialogue and argument
30 “dialogues” laid out his worldview
metaphysics
founded academy of athens
universe is circular motion
plato
name the dude:
assign the 5 regular solids with building blocks of the universe
ex: tetrahedron = fire; octahedron = air
timaeus
name the dude:
student of plato
math theory for motion of planets
eudoxus
name the dude:
student of plato
recorded sum of human knowledge at the time
tutored alexander the great
“on the heavens” book
transit of venus in front of sun
order of spheres (planets)
prime mover
stars made of 5th element called aether
first detailed arguments for spherical earth
shadow of earth on the moon during a lunar eclipse is round
aristotle
name the dude:
sun center of universe
geometry to measure distances to sun and moon
parallax
change in object’s position compared to background
aristarchus
name the dude:
the word geography
angle of sun with respect to zenith —> circumference of earth calculation
position of sun in syene (egypt) vs alexandria
eratosthenes
name the dude:
length of year to within 6.5 minutes of real value
cataloged stars
precession of earth’s rotation axis
magnitude system to compare brightness of stars
used epicycles to explain retrograde motion
hipparchus
name the dude:
wrote about all astronomy in books
refined the geocentric model of the universe
deferents, eccentrics, epicycles, equant
cartographer
almagest book
ptolemy
what was found in a shipwreck in 1901 off a greek island that modeled the sun, moon, lunar phases, and eclipses, and was probably designed by hipparchus?
Antikythera mechanism
what is the Antikythera mechanism commonly referred to as? (the world’s first what?)
analog computer
what is made of aether, and therefore was considered “perfect and immutable”
the heavens
what evidence did Aristotle use to determine that the earth is a sphere?
the earth’s shadow during a lunar eclipse is round
which two quarter phases of the moon did aristarchus use to estimate the relative distance of the sun and moon from earth
first and third
what was the basis for the math aristarchus used to calculate the relative distance of the moon and sun from earth
triangle
what did aristarchus specifically measure?
the angle between the sun and moon
what did aristarchus use to measure the relative sizes of the earth, moon, and sun?
size of earth’s shadow during a lunar eclipse
aristarchus, using the size of earth’s shadow during a lunar eclipse, inferred that the sun is how many times larger than the earth? (which was wrong)
20
aristarchus may have got the measurements wrong, but his methods were correct. what two geometric concepts did his methods use?
angles and triangles
Although his model had flaws, he is credited with developing the first well-thought-out geocentric model of the Universe that persisted until the 1500s.
aristotle
He was the pupil of Socrates and Aristotle's teacher. He emphasized the importance of the circle in models.
plato
The primary purpose of describing planetary orbits in terms of epicycles and deferents was to account for the
pattern of direct and retrograde motion of a planet as it moved slowly against the background of stars.
Retrograde motion of a planet when viewed from Earth is caused by
the relative motions of Earth and planet.
In the geocentric model for the solar system developed by Ptolemy, to what does the word “epicycle” refer?
a small circle around which a planet moves while the center of this circle moves around Earth
To determine the actual diameter (in km) of the Moon one can
determine the actual diameter (in km) of the Earth and then use information on the relative size of the Moon with respect to the Earth to deduce the answer.
What observation did Aristarchus use to determine the size of the Moon relative to that of the Earth?
He completed the circle of the Earth's shadow on the Moon during a lunar eclipse and compared it to the observed size of the Moon.