< 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 >

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.

:" 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.

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

The simple sieve of Eratosthenes, the faster but more complicated sieve of Atkin, and the various wheel sieves are most common.

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.

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.

1241 indicates that Apollonius was succeeded in the position by Eratosthenes ; this must have been after 247 / 246 BCE, the date of the accession of Ptolemy III Euergetes, who was probably tutored by Apollonius and who appointed Eratosthenes.

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 used two points, one almost exactly north of the other.

A formula used in Eratosthenes ' method is

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.

This was the same process used by the ancient Greek Eratosthenes ( 276 – 196 BC ).

Eratosthenes used a simpler sexagesimal system dividing a circle into 60 parts.

Eratosthenes used this spelling, however Hipparchos wrote it as Κάνωπος.

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

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.

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.

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.

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 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.

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

In mathematics, the sieve of Eratosthenes (), one of a number of prime number sieves, is a simple, ancient algorithm for finding all prime numbers up to any given limit.

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.

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.

* D. Rawlins: " Methods for Measuring the Earth's Size by Determining the Curvature of the Sea " and " Racking the Stade for Eratosthenes ", appendices to " The Eratosthenes-Strabo Nile Map.

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

It was notable for its famous librarians: Demetrius, Zenodotus, Eratosthenes, Apollonius, Aristophanes, Aristarchus, and Callimachus.

Many sources claim that the fabled Well of Erastothenes, famous for the calculation of the circumference of Earth by Eratosthenes, was located on the island.

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.

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 ).

When the Sun is directly overhead, however, Eratosthenes visually blends into the surroundings, and it becomes more difficult for an observer to locate it.

The following is example code for Sieve of Eratosthenes written in Action !.

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.

This book is the original source for the well-known story of how Eratosthenes measured the Earth's circumference.

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

Using this measuring instrument Eratosthenes of Cyrene ( ca.

Eratosthenes attempted to calculate its circumference by measuring the angle of the sun at two different locations.

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.

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.

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.

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.

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.

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.