According to Eusebius of Caesarea in the Praeparatio Evangelica, Eratosthenes found the distance to the sun to be " σταδιων μυριαδας τετρακοσιας και οκτωκισμυριας " ( literally " of stadia myriads 400 and 80000 ").

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 ).

* Eratosthenes: calculated the size of the earth and its distance to the sun and to the moon

Eratosthenes used his knowledge of geometry to measure the distance between the Sun and the Earth along with the size of the Earth.

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.

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

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.

It also attracted scholars from all over the Mediterranean such as Eratosthenes of Cyrene.

< 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 >

Eratosthenes of Alexandria, who died about 194 BC, wrote on astronomy and geography, but his work is known mainly from later summaries.

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.

Sieve of Eratosthenes: algorithm steps for primes below 121 ( including optimization of starting from prime's square ).

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 Hellenistic world view after Seleucus: ancient world map of Eratosthenes ( 276 – 194 BC ), incorporating information from the campaigns of Alexander and his successors.

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.

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.

On the divisions and boundaries of Europe, Asia and Africa, he repeats Eratosthenes ; like all classical geographers from Alexander the Great ( except Ptolemy ) he regards the Caspian Sea as an inlet of the Northern Ocean, corresponding to the Persian and Arabian ( Red Sea ) gulfs on the south.

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 ).

* 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.

Eratosthenes as seen from Earth.

Eratosthenes of Alexandria, who died about 194 BC, wrote on astronomy and geography, but his work is known mainly from later summaries.

There are few direct sources for Menaechmus ' work ; his work on conic sections is known primarily from an epigram by Eratosthenes, and the accomplishment of his brother ( of devising a method to create a square equal in area to a given circle using the quadratrix ), Dinostratus, is known solely from the writings of Proclus.

However, the astrological connoisseurship of its fables in fact have nothing to do with Eratosthenes ' scientific conjectures and solutions — which belong instead near the origins of an astronomy that was separated from the predictive and interpretive functions of astrology, not an easy feat of the logical imagination.

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.

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

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.

Did It Supply the 5000 Stades Arc for Eratosthenes ' Experiment?

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

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.

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 ).

In chapter 7, the sieve of Eratosthenes is shown to be able to be simulated using the Zeta function.

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.

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.

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

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

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.

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

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.