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.

That some of the figures Eratosthenes had used in his calculation were considerably in error became known, and Posidonius set out to get a more accurate measurement.

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.

An example of the sort of attack this portrayal was intended to defend against can be found in two orations of Lysias, Against Eratosthenes and Against Agoratus ; there, Theramenes is portrayed as treasonous and self-interested, doing tremendous harm to the Athenian cause through his machinations.

:" Accordingly, the Volcae Tectosages, seized on those parts of Germany which are the most fruitful lie around the Hercynian forest, ( which, I perceive, was known by report to Eratosthenes and some other Greeks, and which they call Orcynia ), and settled there.

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.

The two towns were separated by one degree on the meridian, so from his measurement he was able to calculate a value for the circumference of the earth – a feat celebrated in the title of his book Eratosthenes Batavus ( The Dutch Eratosthenes ), published in 1617.

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 ).

In his greatest extant speech — that Against Eratosthenes — and also in the fragmentary Olympiacus, he has pathos and fire ; but these were not characteristic qualities of his work.

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

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

Others were Lycophron, Callimachus, Eratosthenes and many of a later age, for the critical school long survived the literary.

The founder of the mathematical school was the celebrated Euclid ; among its scholars were Archimedes ; Apollonius of Perga, author of a treatise on Conic Sections ; Eratosthenes, to whom we owe the first measurement of the earth ; and Hipparchus, the founder of the epicyclical theory of the heavens, afterwards called the Ptolemaic system, from its most famous expositor, Claudius Ptolemy.

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.

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.

* Chronicle ( Χρονικά ), a Greek history in verse from the fall of Troy in the 12th century BC to roughly 143 BC ( although later it was extended as far as 109 BC ), and based on previous works by Eratosthenes of Cyrene.

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.

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

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.

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

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.

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.

< p > Strabo ... enters largely, in the Second Book of his Geography, into the opinions of Eratosthenes and other Greeks on one of the most difficult problems in geology, viz., by what causes marine shells came to be plentifully buried in the earth at such great elevations and distances from the sea .</ p >

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.

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.

* The first good measurement of the distance between Earth and the Sun is made by Eratosthenes ( approximate date ).

Conversely, the remarkably accurate calculation of the earth's circumference by Eratosthenes, and the invention of a steam engine by Heron, both ascribed in chapter 60 to the priest Menes, historically occurred in Alexandrian Egypt, centuries after the period of the novel.

* Eratosthenes is appointed by King Ptolemy III Euergetes as head and third librarian of the Alexandrian library.

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.

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 ).

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.

The first scientific estimation of the radius of the earth was given by Eratosthenes.

Since the estimate by Eratosthenes, many models have been created.

For this method, it is also necessary to check for divisibility by all primes that are less than c. Observations analogous to the preceding can be applied recursively, giving the Sieve of Eratosthenes.

Eratosthenes claimed it as the arrow with which Apollo exterminated the Cyclopes.

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.

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.

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.

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

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 ).