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Topic: Menelaus of Alexandria


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  Menelaus, Greek Mythology Link - www.maicar.com
Menelaus is the king of Sparta who was robbed of his sweet wife Helen by a guest he received in his palace.
Menelaus almost killed his opponent; but when he, during the fight, seized Paris by the horsehair crest of the helmet and began to drag him, Aphrodite intervened and broke the strap of the helmet, so that it came away empty in Menelaus' hand.
For, as Menelaus deemed, to oppose Tyndareus (his wife's father, and the man from whom he expected to inherit the Spartan throne), was not his wisest choice.
www.maicar.com /GML/Menelaus.html   (0 words)

  
  Kids.Net.Au - Encyclopedia > Menelaus   (Site not responding. Last check: )
Menelaus, in Greek mythology, was a king of Sparta and son of Atreus and Aerope.
During this period Menelaus and his brother, Agamemnon took refuge with Tyndareus, king of Sparta, whose daughters Clytemnestra and Helen they respectively married.
Menelaus succeeded Tyndareus (whose only sons, Castor and Polydeuces became gods), and Agamemnon, with his brother's assistance, drove out Aegisthus and Thyestes, and recovered his father's kingdom.
www.kids.net.au /encyclopedia-wiki/me/Menelaus   (712 words)

  
 Menelaus, Greek Mythology Link - www.maicar.com
Menelaus is the king of Sparta who was robbed of his sweet wife Helen by a guest he received in his palace.
Menelaus almost killed his opponent; but when he, during the fight, seized Paris by the horsehair crest of the helmet and began to drag him, Aphrodite intervened and broke the strap of the helmet, so that it came away empty in Menelaus' hand.
For, as Menelaus deemed, to oppose Tyndareus (his wife's father, and the man from whom he expected to inherit the Spartan throne), was not his wisest choice.
homepage.mac.com /cparada/GML/Menelaus.html   (1685 words)

  
 Menelaus biography
Menelaus avoids this way of proving theorems and, as a consequence, he gives proofs of some of the theorems where Euclid's proof could be easily adapted to the case of spherical triangles by quite different methods.
Proclus referred to a geometrical result of Menelaus which does not appear in the work which has survived and it is thought that it must come from one of the texts just mentioned.
Menelaus is believed by a number of Arab writers to have written a text on mechanics.
www-groups.dcs.st-and.ac.uk /~history/Biographies/Menelaus.html   (0 words)

  
 Menelaus
Menelaus is most well known as the king of Sparta who was robbed of his wife Helen by a guest he received in his palace.
But Menelaus, eager to have his wife and property restored, persuaded his brother to become the murderer of his own daughter, thus slaying one in order to be able to fetch another.
Menelaus nearly killed his opponent, but when he seized Paris by the horsehair crest of the helmet and began to drag him, Aphrodite intervened and broke the strap of the helmet, so that it came away empty in Menelaus's hand.
www.greekmyth.org /Laurent/Menelaus.htm   (1291 words)

  
 Geometry.Net - Scientists: Menelaus Of Alexandria
Menelaus died in 103 A.D. It is not known what part of the world that he died in, but it is believed to be near the Middle East, possibly Egypt.
Menelaus, in Greek mythology, was a king of Sparta and son of Atreus and Aerope Atreus was murdered by his brother, Aegisthus, who took possession of the throne of Mycenae and ruled jointly with his father Thyestes.
OF RHODES HIPPASUS OF METAPONTUM HYPATIA, HYPSICLES OF ALEXANDRIA IAMBLICHUS OF CHALCEDONMARINOS OF TYRE MENAECHMCUS OF THRACE menelaus of alexandria METON OF http://www.tmth.edu.gr/en/aet/1.html
www.geometry.net /scientists/menelaus_of_alexandria.php   (2136 words)

  
 Learn more about Hipparchus in the online encyclopedia.   (Site not responding. Last check: )
Ptolemy quotes an equinox timing by Hipparchus (at 24 March 146 BC at dawn) that differs from the observation made on that day in Alexandria (at 5h after sunrise): Hipparchus may have visited Alexandria but he did not make his equinox observations there; presumably he was on Rhodes (at the same geographical longitude).
Alexandria is at about 31° North, and the region of the Hellespont at about 41° North; authors like Strabo and Ptolemy had fairly decent values for these geographical positions, and presumably Hipparchus knew them too.
Ptolemy compared his catalogue with those of Aristyllus, Timocharis, Hipparchus and the observations of Agrippa and Menelaus of Alexandria from the early 1st century and he finally confirmed Hipparchus' empirical fact that poles of the celestial equator in one Platonic year (approximately 25,777 sidereal years) encircle the ecliptical pole.
www.onlineencyclopedia.org /h/hi/hipparchus.html   (6619 words)

  
 Highbeam Encyclopedia - Search Results for Menelaus
Menelaus then persuaded his brother Agamemnon to lead an army against Troy.
In Greek legend, the son of Atreus, brother of Menelaus, and king of Mycenae and commander of the Greek forces that attacked Troy.
She married Menelaus, King of Sparta, but was carried off by Paris, Prince of Troy, thus provoking the Trojan War.
www.encyclopedia.com /SearchResults.aspx?Q=Menelaus   (650 words)

  
 Menelaus - Encyclopedia.com
Menelaus, in Greek mythology, king of Sparta, son of Atreus.
Menelaus, although subordinate to Agamemnon, took a prominent part in the war.
Menelaus appears in the Iliad and the Odyssey.
www.encyclopedia.com /doc/1E1-Menelaus.html   (293 words)

  
 [No title]   (Site not responding. Last check: )
Menelaus of Alexandria produced a spherical triangle version of this theorem which is today also called Menelaus's Theorem.
Pappus of Alexandria is the last of the great geometers and one of his theorems is cited as the basis of modern projective geometry.
Alexandria whether in October is perfect the temperature is between 20-28 degree Celsius, the sun is always shining.
www.cie38.net /why.html   (672 words)

  
 Menelaus   (Site not responding. Last check: )
Proclus referred to a geometrical result of Menelaus which does not appear in the work which has survived and it is thought that it must come from one of the texts just mentioned.
Proclus attributes to Menelaus is of the theorem (in
Menelaus is believed by a number of Arab writers to have written a text on mechanics.
www.educ.fc.ul.pt /icm/icm2003/icm14/Menelaus.htm   (932 words)

  
 History of Alexandria: The Ptolemaic Legacy   (Site not responding. Last check: )
Aristarchus of Samos, Eratosthenes' co-worker in Alexandria, had suggested in the third century BC the heliocentric hypothesis, which states that the Earth and the planets revolve around the Sun.
The construction of the Lighthouse of Alexandria was completed during the reign of Ptolemy II Philadelphus.
In later periods, water levels rose, and the Island subsided; remains of the Island Palace are submerged underneath the water of the Harbour.
ce.eng.usf.edu /pharos/Alexandria/History/legacy.html   (852 words)

  
 Menelaus at AllExperts
Menelaus (Μενελαος, also transliterated as Meneláos), one of the two most known Atrides, was a king of Sparta and son of Atreus and Aerope.
According to the Odyssey, Menelaus' homebound fleet was blown by storms to Crete and Egypt, where they were unable to sail away because the wind was calm.
Menelaus had to catch Proteus, a shape-shifting sea god to find out what sacrifices to which gods he would have to make to guarantee safe passage.
en.allexperts.com /e/m/me/menelaus.htm   (883 words)

  
 Mathematics - MSN Encarta
Euclid was a mathematician and teacher who worked at the famed Museum of Alexandria and who also wrote on optics, astronomy, and music.
The writings of Hero of Alexandria in the 1st century ad show how elements of both the Babylonian and Egyptian mensurational, arithmetic traditions survived alongside the logical edifices of the great geometers.
These advances gave Greek astronomers what they needed to solve the problems of spherical astronomy and to develop an astronomical system that held sway until the time of the German astronomer Johannes Kepler.
uk.encarta.msn.com /encyclopedia_761578291/Mathematics.html   (1888 words)

  
 Menelaus of Alexandria Summary
Menelaus of Alexandria (circa 70 - 140) was a Hellenized Egyptian mathematician and astronomer, the first to recognize geodesics on a curved surface as natural analogs of straight lines.
He was called Menelaus of Alexandria by both Pappus and Proclus, and a conversation of his with Lucius, held in Rome, is recorded by Plutarch.
Menelaus' Theorem Interactive proof with animation and key concepts by Antonio Gutierrez from "Geometry Step by Step from the Land of the Incas"
www.bookrags.com /Menelaus_of_Alexandria   (0 words)

  
 Menelaus and Ceva
Indeed, the theorems of Menelaus and Ceva are applicable to arbitrary triangles, which suggests that they are not inherently metrical propositions at all, despite being expressed originally in terms of metric distances.
The same approach can be applied to Menelaus' Theorem, in which case the projective coordinates of the points a, b, and c are of the form stated above, and the condition of the theorem is that point b lies on the line through a and c.
In the context of Menelaus' theorem the individual partial derivatives (holding the third parameter constant) can be pictured in terms of the ratio of the changes in position of points a and b when rotating the common line about the point c, and likewise for the other partials.  For Menelaus' function these three partials are
www.mathpages.com /home/kmath442/kmath442.htm   (2291 words)

  
 Hipparchus
Hipparchus had in 134 B.C. ranked stars in six magnitude classes according to their brightness: he assigned the value of 1 to the 20 brightest stars, to weaker ones a value of 2, and so forth to the stars with a class of 6, which can be barely seen with the naked eyes.
After that from 141 B.C. to 126 B.C. mostly on the island of Rhodes, again in Alexandria and in Siracuse[?], and around 130 B.C. in Babylon, during which period he made a lot of precise and lasting observations.
Ptolemy compared his catalogue with those of Aristyllus, Timocharis, Hipparchus and the observations of Agrippa and Menelaus of Alexandria from the early 1st century and he finally confirmed Hipparchus empirical fact that poles of celestial equator in one Platonic year or approximately in 25777 years encircle ecliptical pole[?].
www.ebroadcast.com.au /lookup/encyclopedia/hi/Hipparchus.html   (2282 words)

  
 Menelaus biography
Menelaus avoids this way of proving theorems and, as a consequence, he gives proofs of some of the theorems where Euclid's proof could be easily adapted to the case of spherical triangles by quite different methods.
Proclus referred to a geometrical result of Menelaus which does not appear in the work which has survived and it is thought that it must come from one of the texts just mentioned.
Menelaus is believed by a number of Arab writers to have written a text on mechanics.
www.gap-system.org /~history/Biographies/Menelaus.html   (1111 words)

  
 [No title]   (Site not responding. Last check: )
Both Pappus and Proclus call him Menelaus of Alexandria (Heath 260), so we may assume that he spent some of his time in Rome, and much of his time in Alexandria.
Menelaus describes a spherical triangle as the area included by arcs of great circles on the surface of a sphere subject to the restriction that each of the sides or legs of the triangle is an arc less then a semicircle.
In Menelaus' work there is a remark that suggests that one of the trigonometric propositions can be attributed to Apollonius, who lived a few years before Hipparchus (Heath 253).
www.math.rutgers.edu /~cherlin/History/Papers2000/hunt.html   (1833 words)

  
 Menelaus - Hutchinson encyclopedia article about Menelaus
The dynastic rivalries between the houses of Atreus and Thyestes were known as the legend of the Atridae.
It told of the dispute between Agamemnon and Menelaus, the departure from Troy of Menelaus, the fortunes of the lesser heroes, the return and tragic death of Agamemnon, and the vengeance of Orestes on Aegisthus.
As an example of motiveless degradation of character, we have Menelaus in the Orestes: of character indecorous and inappropriate, the lament of Odysseus in the Scylla, and the speech of Melanippe: of inconsistency, the Iphigenia at Aulis,--for Iphigenia the suppliant in no way resembles her later self.
encyclopedia.farlex.com /Menelaus   (294 words)

  
 Mathematics - Printer-friendly - MSN Encarta
The 13 books that make up his Elements contain much of the basic mathematical knowledge discovered up to the end of the 4th century bc on the geometry of polygons and the circle, the theory of numbers, the theory of incommensurables, solid geometry, and the elementary theory of areas and volumes.
They deal with finding rational solutions to kinds of problems that lead immediately to equations in several unknowns.
In the meantime, methods were developed for solving problems involving plane triangles, and a theorem—named after the astronomer Menelaus of Alexandria—was established for finding the lengths of certain arcs on a sphere when other arcs are known.
uk.encarta.msn.com /text_761578291___2/Mathematics.html   (1661 words)

  
 Precession(wikipedia) - GameWiki
He measured the ecliptic longitude of the star Spica during lunar eclipses and found that it was about 6° west of the autumnal equinox.
By comparing his own measurements with those of Timocharis of Alexandria (a contemporary of Euclid who worked with Aristillus early in the 3rd century BCE), he found that Spica's longitude had decreased by about 2° in about 150 years.
Ptolemy compared his own observations with those made by Hipparchus, Menelaus of Alexandria, Timocharis, and Agrippa.
www.theorderoftime.com /game/wiki/index.php/Precession(wikipedia)   (3188 words)

  
 pharos1
Alexander knew his Homer and these brief lines were enough to call to mind the long passage from Book IV of The Odyssey where Menelaus tells Telemachus how he was stranded on the shores of Egypt.
In fact, as Ibn Taghribardi wrote, "The princes in charge of religious foundations were for long occupied in repairing the damage inflicted upon schools, mosques and even the Lighthouse." It must have been pretty badly struck for the end was indeed nigh.
In 1326, the Moroccan traveller, Ibn Battuta, passed through Alexandria for the first time and recorded that he climbed the ramp leading to the tower entrance.
www.greece.org /alexandria/pharos   (1286 words)

  
 MATHEMATICS,   (Site not responding. Last check: )
In the meantime, methods were developed for solving problems involving plane triangles, and a theorem—named after the astronomer Menelaus of Alexandria (fl.
ALGORITHM,, q.v., and the title of one of his books is the source of the word algebra.) Geometers such as Ibrahim ibn Sinan (908–46) continued Archimedes' investigations of areas and volumes, and Kamal al-Din (1156–1242) and others applied the theory of conic sections to solve optical problems.
Using the Hindu sine function and Menelaus' theorem, mathematicians from Habas al-Hasib (770–864) to Nasir ad-Din at-Tusi (1201–74) created the mathematical disciplines of plane and spherical trigonometry.
www.history.com /encyclopedia.do?vendorId=FWNE.fw..ma065600.a#FWNE.fw..ma065600.a   (4886 words)

  
 TMTh:: MENELAUS OF ALEXANDRIA
Menelaus was the founder of spherical trigonometry and the first to treat it as a branch of mathematics distinct from stereometry and astronomy.
Menelaus worked on developing mathematical methods for use in astronomical calculations.
Book I deals with the geometry of the sphere; it introduces for the first time the concept of the spherical triangle (a triangle formed by three arcs of great circles on the surface of a sphere).
www.tmth.edu.gr /en/aet/4/68.html   (0 words)

  
 Chronicon Paschale - translation
Onias, who was also called Menelaus, became the 15th high priest at Jerusalem, for 7 years.
Onias, who was also called Menelaus, the Jewish high priest who had betrayed his country to Antiochus Epiphanes, was killed by Antiochus Eupator.
Because the island is four miles off the shore of Alexandria, she constructed a causeway of earth and stones out to sea so that men could walk out as far as the island and the Pharus.
www.attalus.org /translate/paschal.html   (0 words)

  
 Stanley Wong's CU
Menelaus’ Theorem states that the six segments formed by a transversal cutting the three sides of a triangle (one of the three sides is extended) are such that the product of the three segments having no common endpoint is equal to the product, numerically, of the remaining three (see figure 3).
The theorems of Menelaus and Ceva go together since the former gives the condition for points on the sides of a triangle to be collinear and the latter gives the conditions for lines through vertices of a triangle to be concurrent.
Give out a diagram of Menelaus’ Theorem (figure 3) and state that he was a 2nd century AD mathematician and that Ceva continued the work that Menelaus started.
www.unm.edu /~abqteach/math2002/02-02-11.htm   (5618 words)

  
 Chronology for 1AD to 500
Menelaus of Alexandria writes Sphaerica which deals with spherical triangles and their application to astronomy.
Pappus of Alexandria writes Synagoge (Collections) which is a guide to Greek geometry.
Theon of Alexandria produces a version of Euclid's Elements (with textual changes and some additions) on which almost all subsequent editions are based.
www-history.mcs.st-andrews.ac.uk /history/Chronology/1AD_500.html   (0 words)

  
 Dictionary of Greek and Roman Biography and Mythology, page 309 (v. 3)   (Site not responding. Last check: )
The na­ ture of the surfaces or the lines is unknown ; but Pappus informs us that their investigation excited the admiration of many geometricians ; among others, of Menelaus of Alexandria.
judaeus, the Jew, sprang from a priestly family of distinction, and was born at Alexandria (Joseph.
After his life, from early youth upwards, had been wholly devoted to learning, he was compelled, when he had probably already reached an advanced age, in consequence of the persecutions which the Jews had to suffer, especially under the emperor Caius, to devote himself to public business.
www.ancientlibrary.com /smith-bio/2643.html   (900 words)

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