In 1773, Lessing published an epigram he had found in a manuscript during his work as a librarian ; it claimed to be a letter sent by Archimedes to Eratosthenes.

Although Strabo cited the antique Greek astronomers Eratosthenes and Hipparchus, acknowledging their astronomical and mathematical efforts towards geography, he claimed that a descriptive approach was more practical, such that his works were designed for statesmen who were more anthropologically than numerically concerned with the character of countries and regions.

Eratosthenes, who lived in Athens as a young man, claimed that Aristo and Arcesilaus were the two most important philosophers of his age.

Those who believe that the stories of the Trojan War are derived from a specific historical conflict usually date it to the 12th or 11th centuries BC, often preferring the dates given by Eratosthenes, 1194 – 1184 BC, which roughly corresponds with archaeological evidence of a catastrophic burning of Troy VIIa.

The Portuguese Court, which agreed with the figure provided by Eratosthenes, rejected Columbus ' proposal because they believed that the distance to Asia over the open Western Ocean was too great for the ship's crews to survive the journey without being able to make port and resupply.

Livy mentions a portus Tarraconis ; and according to Eratosthenes it had a naval station or roads (); but Artemidorus says with more probability that it had none, and scarcely even an anchoring place ; and Strabo himself calls it.

Eratosthenes, using the angles of shadows created at widely separated regions, estimated the circumference of the Earth with great accuracy.

Those who believe that the stories of the Trojan War derive from a specific historical conflict usually date it to the twelfth or eleventh centuries BC, often preferring the dates given by Eratosthenes, 1194 – 1184 BC, which roughly correspond with archaeological evidence of a catastrophic burning of Troy VIIa.

The Return of the Heracleidae, which is the closest event to a Dorian Invasion available in legend, must coincide with the entry of Aristodemus and his brethren into Arcadia, which, based on the chronology of Eratosthenes, happened 328 years before the generally accepted date of the first year of the first Olympiad, 776 BC.

The Return of the Heracleidae, which is the closest event to a Dorian Invasion available in legend, must coincide with the entry of Aristodemus and his brethren into Arcadia, which, based on the chronology of Eratosthenes, happened 328 years before the generally accepted date of the first year of the first Olympiad, 776 BC.

Cyrene was the birthplace of Eratosthenes and there are a number of philosophers associated with the city including Aristippus, the founder of the School of Cyrene, and his successor daughter Arete, Callimachus, Carneades, Ptolemais of Cyrene, and Synesius, a bishop of Ptolemais in the 4th century AD.

As with Posidonius, Eratosthenes ' stadium is thought to have equated to 1 / 10 of a mile, so that his measure translates to 25, 000 ( or 25, 200 ) miles.

Ptolemy discussed and favored this revised figure of Posidonius over Eratosthenes in his Geographia, and during the Middle Ages scholars divided into two camps regarding the circumference of the earth, identified with Eratosthenes ' calculation on the one hand and Posidonius ' 180, 000-stadium measure on the other.

De Astronomia was first published, with accompanying figures, by Erhard Ratdolt in Venice, 1482, under the title Clarissimi uiri Hyginii Poeticon astronomicon opus utilissimum This " Poetic astronomy by the most renowned Hyginus, a most useful work ," chiefly tells us the myths connected with the constellations, in versions that are chiefly based on Catasterismi, a work that was traditionally attributed to Eratosthenes.

( Such a list can be computed with the Sieve of Eratosthenes ).

Eratosthenes calculated the earth's circumference with remarkable accuracy, and Hipparchus Founded scientific astronomy.

He is also the author of the mathematical libraries DJBFFT, a fast portable FFT library, and of primegen, an asymptotically fast small prime sieve with low memory footprint based on the sieve of Atkin rather than the more usual sieve of Eratosthenes.

Herodotus, Strabo, and other classical authors repeatedly mention the Caspians but do not seem to know much about them ; they are grouped with other inhabitants of the southern shore of the Caspian Sea, like the Amardi, Anariacae, Cadusii, Albani ( see below ), and Vitii ( Eratosthenes apud Strabo, 11. 8. 8 ), and their land ( Caspiane ) is said to be part of Albania ( Theophanes Mytilenaeus apud Strabo, 11. 4. 5 ).

Still, combined with trigonometric evidence of the form used by Eratosthenes 1, 700 years prior, the Magellan expedition removed any reasonable doubt in educated circles in Europe.

The general views of the De situ orbis mainly agree with those current among Greek writers from Eratosthenes to Strabo ; the latter was probably unknown to Mela.

He had a high reputation as a Grecian, a Latinist and a philologist, and he brought out with the collaboration of others his an edition of St Cyprian in 1682, an English translation of The Unity of the Church in 1681, editions of Nemesius of Emesa ( 1671 ), of Aratus and of Eratosthenes ( 1672 ), Theocritus ( 1676 ), Alcinous on Plato ( 1677 ), St Clement's Epistles to the Corinthians ( 1677 ), Athenagoras ( 1682 ), Clemens Alexandrinus ( 1683 ), Theophilus of Antioch ( 1684 ), Grammatica rationis sive institutiones logicae ( 1673 and 1685 ), and a critical edition of the New Testament in 1675.

Lysias and Polemarchus were rich men, having inherited property from their father, Cephalus ; and Lysias claims that, though merely resident aliens, they discharged public services with a liberality which shamed many of those who enjoyed the franchise ( Against Eratosthenes xii. 20 ).

Pappus then enumerates works of Euclid, Apollonius, Aristaeus and Eratosthenes, thirty-three books in all, the substance of which he intends to give, with the lemmas necessary for their elucidation.

With a Continuation of Sanchoniatho's History by Eratosthenes Cyrenaeus's Canon, which Dicaearchus connects with the First Olympiad.

Several works among the best known during this long period could be cited as an example, from Strabo ( Geography ), Eratosthenes ( Geography ) or Dionisio Periegetes ( Periegesis Oiceumene ) in the Ancient Age to the Alexander von Humboldt ( Cosmos ) in the century XIX, in which geography is regarded as a physical and natural science, of course, through the work Summa de Geografía of Martín Fernández de Enciso from the early sixteenth century, which is indicated for the first time the New World.

A statement of Eratosthenes attributed by Strabo to Pytheas, that the north of the Iberian Peninsula was an easier passage to Celtica than across the Ocean, is somewhat ambiguous: apparently he knew or knew of both routes, but he does not say which he took.

In 1915, he introduced a new method, based on Legendre's version of the sieve of Eratosthenes, now known as the Brun sieve, which addresses additive problems such as Goldbach's conjecture and the twin prime conjecture.

That alternative route, different from the theoretical eastward route, was based on calculations of the Earth's circumference made by Columbus which showed the measurement to be substantially less than the classic 10, 000 mile figure given by Eratosthenes in the 3rd century BC.

Posidonius was informed in his approach to finding the Earth's circumference by Eratosthenes, who a century earlier used the elevation of the sun at different latitudes to arrive at a figure of 250, 000 stadia ( which he rounded to 252, 000 so that it would be divisible by 60 ).

Eratosthenes and Apollodorus of Athens, however, pushed back the start of the historical period to the Trojan War, which they fixed at 1184 BC.

In number theory, a lucky number is a natural number in a set which is generated by a " sieve " similar to the Sieve of Eratosthenes that generates the primes.

His work Eratosthenes Batavus (" The Dutch Eratosthenes "), published in 1617, describes the method and gives as the result of his operations between Alkmaar and Bergen op Zoom — two towns separated by one degree of the meridian — which he measured to be equal to.

or were implementations of the Sieve of Eratosthenes, according to a 1974 interview in which Kemeny and McGeachie took part.

Most of these are purely geographical claims, but he does mention that Eratosthenes ' sources say that some of the Greek kings conquered further than Alexander ; Strabo does not believe them on this, but modern historians do ; nor does he believe that Menander and Demetrius son of Euthydemus conquered more tribes than Alexander There is half a story about Menander in one of the books of Polybius which has not come down to us intact.

For each prime, all the numbers to be tested for smoothness in the range under consideration which are divisible by that prime have their counter incremented by the logarithm of the prime ( similar to the sieve of Eratosthenes ).

Eratosthenes pointed out that there were works by Eupolis which were produced following the Sicilian Expedition.

As noted in the book Huai Nan Zu, in the 2nd Century BC Chinese astronomers effectively inverted Eratosthenes ' calculation of the curvature of the Earth to calculate the height of the sun above the earth.

The Earth's circumference was first determined around 240 BC by Eratosthenes.

Eratosthenes knew that in Syene, in Egypt, the Sun was directly overhead at the summer solstice, while he estimated that the angle formed by a shadow cast by the Sun at Alexandria was 1 / 50th of a circle.

Early in Classical Greece, that the earth is a sphere (" round "), was generally known by all, and around 240 BCE, Eratosthenes ( 276 BCE – 194 BCE ) accurately estimated its circumference.

A Sieve of Eratosthenes benchmark, computing all prime numbers less than 65536, was tested on a Sun SPARCstation 1.

* 1184 BC – Trojan War: Troy is sacked and burned, according to calculations by Eratosthenes.

These included notable thinkers such as Euclid, Archimedes, Eratosthenes, Herophilus, Erasistratus, Hipparchus, Aedesia, Pappus, Hypatia, Aristarchus of Samos, and Saint Catherine.

Eratosthenes the Cyrene was the first to divide the surface of the earth into lines of latitude and longitude.

* Eratosthenes ( 276194 BC ), who made the first known reliable estimation of the Earth's size.

The early part of Pytheas ' voyage is outlined by statements of Eratosthenes that Strabo says are false because taken from Pytheas.

Strabo reports that Eratosthenes places Thule at a parallel 11500 stadia ( 1305 miles, or 16. 4 °) north of the mouth of the Borysthenes.

Eratosthenes extends the latitudinal distance from Massalia to Celtica to 5000 stadia ( 7. 1 °), placing the base line in Normandy.

On the surface it appears that Eratosthenes altered the base line to pass through the northern extreme of Celtica.

Maps based on scientific principles had been made since the time of Eratosthenes ( 3rd century BC ), but Ptolemy improved projections.

One reason is that Ptolemy estimated the size of the Earth as too small: while Eratosthenes found 700 stadia for a great circle degree on the globe, in the Geographia Ptolemy uses 500 stadia.

Book 34 was entirely devoted to questions of geography and included some trenchant criticisms of Eratosthenes, whom he accused of passing on popular preconceptions or laodogmatika.

Random access is critical, or at least valuable, to many algorithms such as binary search, integer sorting or certain versions of sieve of Eratosthenes.

Ephorus gives 1135 BC, Sosibius 1172 BC, Eratosthenes 1184 BC / 1183 BC, Timaeus 1193 BC, the Parian marble 1209 BC / 1208 BC, Dicaearchus 1212 BC, Herodotus around 1250 BC, Eretes 1291 BC, while Douris 1334 BC.