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Eratosthenes

Eratosthenes

Ancient Greek philosopher and scholarWikipedia

Search complete. 145 mentions across 47 episodes found for "Eratosthenes".

Sep 25, 2026

speaker_1UNKNOWN
10:34
Now it's time for the Lunar Feature of the Month.
Wayne ZuhlHOST
10:39
This month, we're going to take a look at the crater Eratosthenes.
Wayne ZuhlHOST
10:44
Eratosthenes sits near the eastern edge of Mer Imbrium, close to the southern end of the Apennine Mountains.
Wayne ZuhlHOST
10:51
It is a striking crater, about 58 kilometers across, with sharply defined terrace walls and a prominent group of central peaks.
Wayne ZuhlHOST
11:01
What makes Eratosthenes such an interesting object is the way its appearance changes with the lighting.
Wayne ZuhlHOST
11:07
When it's close to the terminator, the low sun angle throws deep shadows across the crater floor and brings out the terracing along the inner walls.
Wayne ZuhlHOST
11:16
The central peaks can cast long shadows as well, making the crater look much more dramatic than it does when the sun is higher overhead.
Wayne ZuhlHOST
11:25
Eratosthenes is also geologically important because it gives its name to the Eratosthenian period in lunar history.
Andrew Hunter MurrayHOST
23:07
Like third century BC.
Andrew Hunter MurrayHOST
23:08
Oh, sorry, Eratosthenes-
James HarkinHOST
23:09
Yeah
Andrew Hunter MurrayHOST
23:09
... calculated the size of the earth-
Mark GagnonHOST
3:05
They were afraid they were gonna fall off the Earth." Probably not.
Mark GagnonHOST
3:08
So let's just go all the way to the beginning and start with the guy who should have just ended this entire debate forever, and his name was Eratosthenes.
Mark GagnonHOST
3:17
And around 240 BC, he was the chief librarian at the Library of Alexandria.
Mark GagnonHOST
3:22
It's probably the most, like, important collection of knowledge in the ancient world.
Mark GagnonHOST
3:26
Unfortunately, it burned down, but there's a whole other episode on that.
Mark GagnonHOST
3:30
Eratosthenes had heard that there was something strange happening year over year, and it was called the Syene, which is in modern-day Aswan in southern Egypt.
Mark GagnonHOST
3:39
So at noon on the summer solstice, the sun sat almost perfectly overhead, and people could look down into a deep well, and they could see sunlight hitting the bottom.
Mark GagnonHOST
3:49
So a vertical object standing there would basically cast no shadow.
William RamseyGUEST
3:49
They're flying over a circle, not a flat earth.
William RamseyGUEST
3:52
The whole notion that you can't fly from Mark Benthien, ECA- Peru to New Zealand, without going north is fake that's false um there's tons of problems with shadowing and things that have already been gone good I think it's back to Archimedes in Greece, where.
William RamseyGUEST
4:07
Mark Benthien, ECA- They time the shadow and figured out there was a you know roughly 24,000 miles in circumference.
William RamseyGUEST
4:13
That was Eratosthenes.
William RamseyGUEST
4:15
Thank you, Eratosthenes.
William RamseyGUEST
4:16
Somebody like that.
William RamseyGUEST
4:17
I think there were two Greek guys who actually did it, but we're confirming that same.
William RamseyGUEST
4:21
The
speaker_1NARRATOR
3:20
The second life adds, Some say that he returned to Alexandria and again recited his poem with the utmost success, so that he was honored with the libraries of the museum and was buried with Callimachus.
speaker_1NARRATOR
3:33
The last sentence may be interpreted by the notice of Sudas, who informs us that Apollonius was a contemporary of Eratosthenes, Euphorion, and Timarchus, in the time of Ptolemy Euergetes, and that he succeeded Eratosthenes in the headship of the Alexandrian library.
speaker_1NARRATOR
3:51
Sudas also informs us elsewhere that Aristophanes, at the age of sixty-two, succeeded Apollonius in his office.
speaker_1NARRATOR
4:00
Many modern scholars deny the bibliothecariate of Apollonius for chronological reasons, and there is considerable difficulty about it.
speaker_1NARRATOR
4:09
The date of Callimachus' hymn to Apollo, which closes with some lines, 105 to 113, that are admittedly an allusion to Apollonius, may be put with much probability at 248 or 247 BC.
speaker_1NARRATOR
4:26
Apollonius must, at that date, have been at least twenty years old.
speaker_1NARRATOR
4:32
Eratosthenes died 196-193 BC.
speaker_1NARRATOR
4:37
This would make Apollonius seventy-two to seventy-five when he succeeded Eratosthenes.
Benjamin BosterHOST
24:31
He was puzzled by the Nile floods, which began in the summer, a season when Egypt had no rainfall.
Benjamin BosterHOST
24:41
Geographers in Europe, Africa, and Arabia, dating back to Eratosthenes in the 2nd century BCE, speculated that the source was a collection of lakes in central Africa.
Benjamin BosterHOST
24:58
Many early maps of Africa showed the Nile originating in large lakes in Africa's interior, but until the 1600s, they were all speculative and not based on firm scientific knowledge.
Benjamin BosterHOST
25:17
There is a significant difference in agricultural practices between the northern nations of the Nile Basin, Egypt, Sudan, and South Sudan, and the southern nations, Uganda, Ethiopia, etc.
AnnaHOST
1:25
Last time, we looked at what primes are, the early mathematicians who first defined and studied primes, how to prove there are infinitely many primes, and a little bit about how to find them.
AnnaHOST
1:35
We left off talking about the sieve of Eratosthenes and asking how we find much larger primes.
AnnaHOST
1:42
That is where we are going to pick up this episode, looking at how we can use computers and modern methods to find prime numbers.
AnnaHOST
1:49
One quick thing before that, though, And this is probably the first time I've said this over the course of this podcast, but if you have come across this episode before part one, I strongly recommend you go back and listen to part one first, that's episode 19.
Carol PelsterNARRATOR
18:59
How then, some might say, could Aeschines call him a man of most astonishing boldness in his speeches? And how was it that when Python of Byzantium was inveighing with much boldness and a great torrent of words against the Athenians, Demosthenes alone rose up and spoke against him? Or how did it happen that when Lamachus the Murian had written an encomium on Kings Philip and Alexander, in which many injurious things were said of Thebes and Olympos, and while he was reading it aloud at Olympia, Demosthenes came forward and rehearsed with historical proofs all the benefits which the people of Thebes and Chalcidice had conferred upon Greece, and, on the other hand, all the evils of which the flatterers of the Macedonians had been the cause, and thereby so turned the minds of the audience that the sophist was terrified at the outcry against him and slunk away from the festival assembly? But although Demosthenes, as it would appear, did not regard the other characteristics of Pericles as suitable for himself, he admired and sought to imitate the formality of his speech and bearing, as well as his refusal to speak suddenly or on every subject that might present itself, as if his greatness was due to these things; but he by no means sought the reputation which is won in a sudden emergency, nor did he often of his own free will stake his influence upon chance.
Carol PelsterNARRATOR
20:37
However, those orations which were spoken off-hand by him had more courage and boldness than those which he wrote out, if we are to put any confidence in Eratosthenes, Demetrius the Phalerian, and the comic poets.
Carol PelsterNARRATOR
20:53
Of these, Eratosthenes says that often in his speeches Demosthenes was like one frenzied, and the Phalerian says that once, as if under inspiration, he swore by the famous metrical oath to the people, by earth, by springs, by rivers, and by streams.
Carol PelsterNARRATOR
21:11
Of the comic poets, one calls him a rhopoparochos, or a trumpety braggart; and another, ridiculing his use of the antithesis, says this: First slave: My master, as he took, retook.
Carol PelsterNARRATOR
21:26
Second slave: Demosthenes would have been delighted to take over this phrase.

3 HRS 4 MINS LATER

Carol PelsterNARRATOR
205:15
Now Olympias, who affected these divine possessions more zealously than other women and carried out these divine inspirations in wilder fashion, used to provide the revelling companies with great tame serpents, which would often lift their heads from out the ivy and the mystic winnowing-baskets Sacred to Dionysus and carried on the heads of the celebrants or coil themselves about the wands and garlands of the women, thus terrifying the men.
Carol PelsterNARRATOR
205:44
However, after his vision, as we are told, Philip sent Cheiron of Megalopolis to Delphi, by whom an oracle was brought him from Apollo, who bade him sacrifice to Ammon and hold that god in greatest reverence, but told him he was to lose that one of his eyes which he had applied to the chink in the door when he espied the god in the form of a serpent sharing the couch of his wife.
Carol PelsterNARRATOR
206:07
Moreover, Olympias, as Eratosthenes says, when she sent Alexander forth upon his great expedition told him, and him alone, the secret of his begetting, and bade him have purposes worthy of his birth.
Stephen SeidelNARRATOR
26:38
Besides this, one of Alexander's admirals, named Nearchus, learned to carry his ships from the mouth of the Indus to the Arabian Gulf.
Stephen SeidelNARRATOR
26:48
later on a greek sailor hippalus found that by using the monsoons at the appropriate times he could sail direct from arabia to india without laboriously coasting along the shores of persia and beluchistan and in consequence the greeks gave his name to the monsoon for information about india itself the greeks were for a long time dependent upon the account of megisthenes an ambassador sent by seleucus one of alexander's generals to the indian king of the punjab knowledge was thus gained of the east additional information was obtained about the north of europe by the travels of one pythius a native of marseilles who flourished about the time of alexander the great three thirty three b c and he is especially interesting to us as having been the first civilized person who can be identified as having visited britain he seems to have coasted along the bay of biscay to have spent some time in england which he reckoned as forty thousand stadia or four thousand miles in circumference and he appears also to have coasted along belgium and holland as far as the mouth of the elba bithius is however chiefly known in the history of geography as having referred to the island of thule which he described as the most northerly point of the inhabited earth beyond which the sea became thickened and of a jelly-like consistency he does not profess to have visited thule and his account probably refers to the existence of drift-ice near the shetlands All this new information was gathered together and made accessible to the Greek reading world by Eratosthenes, librarian of Alexandria, 240-196 BC, who was practically the founder of scientific geography.
Stephen SeidelNARRATOR
28:46
He was the first to attempt any accurate measurement of the size of the earth and of its inhabited portion.
speaker_0ADVERTISER
28:53
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1 HR 46 MINS LATER

Stephen SeidelNARRATOR
134:29
With his aid, and doubtless that of others, he set himself to study the problem of the possibility of a sea voyage to India around the coast of Africa.
Stephen SeidelNARRATOR
134:41
we have seen that Ptolemy, with true scientific caution, had left undefined the extent of Africa to the south.
Stephen SeidelNARRATOR
134:48
But Eratosthenes and many of the Roman geographers, even after Ptolemy, were not content with this agnosticism, but boldly assumed that the coast of Africa made a semicircular sweep from the right horn of Africa, just south of the Red Sea, with which they were acquainted, round to the northwestern shore, near what we now term Morocco.
Stephen SeidelNARRATOR
135:11
If this were the fact, the voyage by the ocean along this sweep ashore would be even shorter than the voyage through the Mediterranean and Red Seas, while of course there would be no need for disembarking at the isthmus of Suez.
Stephen SeidelNARRATOR
125:38
we have seen that Ptolemy, with true scientific caution, had left undefined the extent of Africa to the south.
Stephen SeidelNARRATOR
125:46
But Eratosthenes and many of the Roman geographers, even after Ptolemy, were not content with this agnosticism, but boldly assumed that the coast of Africa made a semicircular sweep from the right horn of Africa, just south of the Red Sea with which they were acquainted, round to the northwestern shore near what we now term Morocco.
Stephen SeidelNARRATOR
126:08
If this were the fact, the voyage by the ocean along this sweep ashore would be even shorter than the voyage through the Mediterranean and Red Seas, while of course there would be no need for disembarking at the Isthmus of Suez.
Stephen SeidelNARRATOR
126:23
The writers who thus curtailed Africa of its true proportions assumed another continent south of it, which, however, was in the torrid zone and completely uninhabitable.

18 MINS LATER

Stephen SeidelNARRATOR
144:24
By a curious chance, they happened to be very near the line and with the inaccurate maps of the period a pretty subject of quarrel was afforded between the portuguese and spanish commissioners who met at badajos to determine the question this was left undecided by the junta but by a family compact in fifteen twenty nine charles v ceded to his brother-in-law the king of portugal any rights he might have to the malucas for the sum of three hundred and fifty thousand gold ducats while he himself retained the philippines which have been spanish ever since by this means the indian ocean became for all trade purposes a portuguese lake throughout the sixteenth century as will be seen from the preceding map showing the trading stations of the portuguese all along the shores of the ocean but they only possessed their monopoly for fifty years, for in 1580 the Spanish and Portuguese crowns became united on the head of Philip II, and by the time Portugal recovered its independence in 1640, serious rivals had arisen to compete with her in Spain for the monopoly of the Eastern trade.
Stephen SeidelNARRATOR
145:39
End of chapter 6 CHAPTER VII TO THE INDIES WESTWARD, THE SPANISH ROUTE, COLUMBUS AND MAGELLAN While the Portuguese had, with slow persistency, devoted nearly a century to carrying out Prince Henry's idea of reaching the Indies by the eastward route, a bold yet simple idea had seized upon a Genoese sailor, which was intended to achieve the same purpose by sailing westward.
Stephen SeidelNARRATOR
146:27
The ancients, as we have seen, had recognized the rotundity of the earth, and Eratosthenes had even recognized the possibility of reaching India by sailing westward.
Stephen SeidelNARRATOR
146:39
Certain traditions of the Greeks and the Irish had placed mysterious islands far out to the west in the Atlantic, and that great philosopher Plato had imagined a country named Atlantis far out in the Indian Ocean, where men were provided with all the gifts of nature.

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