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Menelaus Of Alexandria: more detail

Roman Alexandria: Roman-Era Alexandrians, Hero of Alexandria, Hypatia, Menelaus of Alexandria, Hesychius of Alexandria, Pamphilus of Alexandria
70s Births: 70 Births, 71 Births, 72 Births, 75 Births, 76 Births, 78 Births, 79 Births, Hadrian, Zhang Heng, Menelaus of Alexandria
140 Deaths: Menelaus of Alexandria, Pope Hyginus, Caius Bruttius Praesens, Mithridates Iv of Parthia, Saint Pausilypus
Menelai Sphæricorum libri III. Quos olim, collatis MSS. Hebræis & Arabicis, ... Præfationem addidit G. Costard, A.M. (Latin Edition) by of Alexandria Menelaus, 2010-05-27
Menelai Sphaericorum Libri Iii. (Latin Edition)

lists with details

Menelaus Of Alexandria -- Encyclopædia Britannica
MLA style " menelaus of alexandria." Encyclopædia Britannica. 2004 APA style menelaus of alexandria. Encyclopædia Britannica. Retrieved May 10, 2004, from Encyclopædia
http://www.britannica.com/eb/article?eu=53302
Abel
no photo available. menelaus of alexandria. ( 70 A.D. 103 A.D.) Written and Researched by Amy Bowman and Micah Christensen. One of the greatest mathematicians was Menelaus. He was born about 70 A.D. in Alexandria, Egypt. Dover Publications 1953.Pages 603, 606, 615. Internet menelaus of alexandria.
http://www.forestcity.k12.ia.us/Pages/FCHS/Site/menelaus.htm

Extractions: no photo available (70 A.D. - 103 A.D.) Written and Researched by Amy Bowman and Micah Christensen One of the greatest mathematicians was Menelaus. He was born about 70 A.D. in Alexandria, Egypt. Menelaus wrote many books but only Sphaerica has survived. In this book he deals with spherical triangles and their application to astronomy. He was the first to write down the definition of a sperical triangle. In Book One of Sphaerica , he set up the basics for treating spherical triangles as Euclid treated plain triangles. This marked a turning poin in the development of spherical trigonometry. Book Two applies spherical trigonometry to astronomy. Book Three deals with spherical trigonometry and includes Menelaus' theorem. This diagram shows the theorem. (See below) A point lying on a side line of a triangle, but not coinciding with a vertex of the triangle, is called a Menelaus point of the triangle for this side. Menelaus also wrote a six book treatise on chords in a circle. He also estimated that the moon moves 1 degree per century. 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
Menelaus' Thm. Menelaus's Theorem is very similar to Ceva's Theorem The theorem is named for menelaus of alexandria, who lived around the end of the first century
http://www.pballew.net/menelaus.html

Extractions: Menelaus' Thm Menelaus's Theorem is very similar to Ceva's Theorem . The theorem states that if a straight line intersects all three sides of a triangle (one or all three intersections may be on the extended legs) then the sides must be cut into proportions that multiply to make one. Using the figure, triangle ABC is cut by the line at A', B', and C' on the opposite sides of the trinangle and so . The theorem is also written in the equivalent form,
TMTh:: MENELAUS OF ALEXANDRIA
MATHEMATICIAN, ASTRONOMER, PHYSICISTmenelaus of alexandria( fl. 1st century AD) Life. Menelaus was the founder of spherical trigonometry and the first to treat it as a branch of
http://www.tmth.edu.gr/en/aet/4/68.html

Extractions: Menelaus was the founder of spherical trigonometry and the first to treat it as a branch of mathematics distinct from stereometry and astronomy. He lived in Rome, where he made astronomical observations in 98 AD. He conducted experiments into specific gravity. Menelaus is cited by Ptolemy and Plutarch. One of the craters on the moon has been named "Menelaus" in his honour. "Sphaerica": Survives in Arabic and Hebrew translation. 3 books. 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). Book II covers the application of spherical geometry and trigonometry to astronomical measurements and calculations. Book III concentrates on spherical trigonometry and introduces "Menelaus's Theorem", modifying the theorem on plane triangles and extending it to spherical triangles. This theorem became of fundamental importance in spherical trigonometry and astronomy, and was used by later geographers and astronomers, e.g. Ptolemy in the 2nd century. He named spherical triangles "trilaterals", and described their properties.
Menelaus And Ceva
Menelaus and Ceva. menelaus of alexandria (circa 100 AD) was among the first to clearly recognize geodesics on spherical surface, but it was Menelaus who had the insight to construct
http://www.mathpages.com/home/kmath442/kmath442.htm

Extractions: Menelaus and Ceva Menelaus of Alexandria (circa 100 AD) was among the first to clearly recognize geodesics on a curved surface as the natural analogs of straight lines on a flat plane. Earlier mathematicians had considered figures on a spherical surface, but it was Menelaus who had the insight to construct a complete geometry of the sphere with great circle arcs taking the place of line segments. For example, he defined "spherical triangles" as figures comprised of three great circle arcs, and developed a family of trigonometric relations for such figures. The most famous of these is still known as Menelaus' Theorem, although it's commonly presented only in the planar version (which was probably known to Euclid ). In this form the theorem gives the necessary and sufficient condition for three points on the extended edges of a plane triangle to be co-linear. Consider the triangle shown below Letting [xy] denote the distance between points x and y, the Theorem of Menelaus states that the points a,b,c located on the (extended) edges BC, AC, AB of a triangle ABC are colinear if and only if To prove this, consider a rectangular coordinate system xy with respect to which the coordinates of the vertices A,B, and C are (0,0), (
The Beginnings Of Trigonometry
History of Mathematics). Both Pappus and Proclus call him menelaus of alexandria (Heath 260), so we may assume which was mentioned by Theon of Alexandria, but those books have all
http://www.math.rutgers.edu/~cherlin/History/Papers2000/hunt.html

Extractions: Rutgers, Spring 2000 The ancient Greeks transformed trigonometry into an ordered science. Astronomy was the driving force behind advancements in trigonometry. Most of the early advancements in trigonometry were in spherical trigonometry mostly because of its application to astronomy. The three main figures that we know of in the development of Greek trigonometry are Hipparchus, Menelaus, and Ptolomy. There were likely other contributors but over time their works have been loss and their names have been forgotten. "Even if he did not invent it, Hipparchus is the first person of whose systematic use of trigonometry we have documentary evidence." (Heath 257) Some historians go as far as to say that he invented trigonometry. Not much is known about the life of Hipp archus. It is believed that he was born at Nicaea in Bithynia. (Sarton 285) The town of Nicaea is now called Iznik and is situated in northwestern Turkey. Founded in the 4th century BC, Nicaea lies on the eastern shore of Lake Iznik. He is one of the g reatest astronomers of all time. We know from Ptolemy's references that he made astronomical observations from 161 to 127 BC. (Sarton 285) Unfortunately, nearly all of his works are lost, and all that remains is his commentary on the Phainomena of Eudoxos of Cnidos, and a commentary on an astronomical poem by Aratos of Soloi. (Sarton 285) Most of what we know about Hipparchus comes from Ptolemy's
Menelaus
menelaus of alexandria. Very little else is known of Menelaus s life, exceptthat he is called menelaus of alexandria by both Pappus and Proclus.
http://www-gap.dcs.st-and.ac.uk/~history/Mathematicians/Menelaus.html

Extractions: Although we know little of Menelaus of Alexandria 's life Ptolemy records astronomical observations made by Menelaus in Rome on the 14 th January in the year 98. These observation included that of the occultation of the star Beta Scorpii by the moon. He also makes an appearance in a work by Plutarch who describes a conversation between Menelaus and Lucius in which Lucius apologises to Menelaus for doubting the fact that light, when reflected, obeys the law that the angle of incidence equals the angle of reflection. Lucius says (see for example [1]):- In your presence, my dear Menelaus, I am ashamed to confute a mathematical proposition, the foundation, as it were, on which rests the subject of catoptrics . Yet it must be said that the proposition, "All reflection occurs at equal angles" is neither self evident nor an admitted fact. This conversation is supposed to have taken place in Rome probably quite a long time after 75 AD, and indeed if our guess that Menelaus was born in 70 AD is close to being correct then it must have been many years after 75 AD.
References For Menelaus
Articles MF Aintabi, Arab scientific progress and menelaus of alexandria,in Actes XIIe Congrès Internat. d Histoire des Sciences
http://www-gap.dcs.st-and.ac.uk/~history/References/Menelaus.html

Extractions: M F Aintabi, Arab scientific progress and Menelaus of Alexandria, in III ( Paris, 1971), 7-12. O Schmidt, On the theorems of Ptolemy and Menelaus (Danish), Nordisk Mat. Tidskr. G Yussupova, Commentaries to Menelaus' Spherics by al-Tusi and al-Yazdi (Russian), Izv. Akad. Nauk USSR Ser. Fiz.-Mat. Nauk G Yussupova, Zwei mittelalterliche arabische Ausgaben der 'Sphaerica' des Menelaos von Alexandria, Historia Math. Main index Birthplace Maps Biographies Index
Menelaus
Biography of Menelaus (70130) menelaus of alexandria. Born about 70 in (possibly) Alexandria, Egypt Although we know little of menelaus of alexandria's life Ptolemy records astronomical observations made by
http://www-groups.dcs.st-and.ac.uk/~history/Mathematicians/Menelaus.html

Extractions: Although we know little of Menelaus of Alexandria 's life Ptolemy records astronomical observations made by Menelaus in Rome on the 14 th January in the year 98. These observation included that of the occultation of the star Beta Scorpii by the moon. He also makes an appearance in a work by Plutarch who describes a conversation between Menelaus and Lucius in which Lucius apologises to Menelaus for doubting the fact that light, when reflected, obeys the law that the angle of incidence equals the angle of reflection. Lucius says (see for example [1]):- In your presence, my dear Menelaus, I am ashamed to confute a mathematical proposition, the foundation, as it were, on which rests the subject of catoptrics . Yet it must be said that the proposition, "All reflection occurs at equal angles" is neither self evident nor an admitted fact. This conversation is supposed to have taken place in Rome probably quite a long time after 75 AD, and indeed if our guess that Menelaus was born in 70 AD is close to being correct then it must have been many years after 75 AD.
Alexandria -- Britannica Student Encyclopedia
Alexandria Britannica Student Encyclopedia. To cite this page MLA style Alexandria. Britannica Student Encyclopedia. 2004. Encyclopædia
http://www.britannica.com/ebi/article?eu=340864&query=menelaus of alexandria&ct=
Menelaus Of Alexandria
menelaus of alexandria. menelaus of alexandria (born around 70; diedaround AD 140) was a mathematician. http//wwwgroups.dcs.st
http://www.fact-index.com/m/me/menelaus_of_alexandria.html
Me 163 Komet
Mendota, Illinois Mendota, Minnesota Mendota Heights, Minnesota Mendoza ProvinceMenedemus Menegroth Menehune Menelaus menelaus of alexandria Meneldil Menelik
http://www.fact-index.com/m/me/
Menelaus - Wikipedia, The Free Encyclopedia
During this period Menelaus and his brother, Agamemnon took refuge with Tyndareus, king of Sparta, whose See also menelaus of alexandria ( about 70 about 140), mathematician
http://en2.wikipedia.org/wiki/Menelaus

Extractions: Menelaus (also transliterated as Meneláos ), 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 . During this period Menelaus and his brother, Agamemnon took refuge with Tyndareus , king of Sparta, whose daughters Clytemnestra and Helen they respectively married. Helen and Menelaus had one daughter, Hermione 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. He extended his dominion by conquest and became the most powerful prince in Greece. When it was time for Helen, Tyndareus' daughter, to marry, many Greek kings and princes came to seek her hand or sent emissaries to do so on their behalf. Among the contenders were Odysseus Menestheus Ajax the great Patroclus and Idomeneus , but Menelaus was the favorite though, according to some sources, he did not come in person but was represented by his brother Agamemnon. All but Odysseus brought many and rich gifts with them. Tyndareus would accept none of the gifts, nor would he send any of the suitors away for fear of offending them and giving grounds for a quarrel. Odysseus promised to solve the problem in a satisfactory manner if Tyndareus would support him in his courting of
Encyclopedia: Menelaus Of Alexandria
Updated Mar 20, 2004. Encyclopedia menelaus of alexandria. menelaus of alexandria(born ca. 70; died ca. External links. menelaus of alexandria {{msgstub}}.
http://www.nationmaster.com/encyclopedia/Menelaus-of-Alexandria

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Encyclopedia: Menelaus
I often grieve, as I sit here in my house, for one and all of them. See alsomenelaus of alexandria (about 70 - about 140), mathematician. Related Stats.
http://www.nationmaster.com/encyclopedia/Menelaus

Extractions: several. Compare All Top 5 Top 10 Top 20 Top 100 Bottom 100 Bottom 20 Bottom 10 Bottom 5 All (desc) in category: Select Category Agriculture Crime Currency Democracy Economy Education Energy Environment Food Geography Government Health Identification Immigration Internet Labor Language Manufacturing Media Military Mortality People Religion Sports Taxation Transportation Welfare with statistic: view: Correlations Printable graph / table Pie chart Scatterplot with ... * Asterisk means graphable.
MenelausTheorem
Lithuanian Polish Slovak JavaMenelaus Theorem. Menelaus' theorem en) Intersection of lines ( en) menelaus of alexandria ( en) Ratio
http://www.thesaurus.maths.org/dictionary/map/word/2327

Extractions: Find word or phrase containing matching starting with ending with in English English Danish German Spanish ... Menelaus Theorem Search for " Menelaus' theorem " in NRICH PLUS maths.org Google If we have a triangle ABC, and we extend the lines AB, BC, CA to infinity and draw a new line L which cuts BC, CA, AB at X, Y, Z, then
MenelausOfAlexandria
menelaus of alexandria Menelaus (English). Search for menelaus of alexandria OR Menelaus in NRICH PLUS maths.org Google. Definition level 1.
http://thesaurus.maths.org/mmkb/entry.html?action=entryByConcept&id=2893&langcod
NebulaSearch Encyclopedia Mendham Township, New Jersey---Menelaus Of Alexandria
Mendham Township, New Jerseymenelaus of alexandria. Mendham_Township,_New_Jersey;Mendip; Mendip_Hills; Mendip_hills; Mendocino,_California;
http://www.nebulasearch.com/encyclopedia/contents/155673-155698-Mendham_Township
Menelaus Of Alexandria - Encyclopedia Article About Menelaus Of Alexandria. Free
Menelaus encyclopedia article about Menelaus. Free access, no I often grieve, as I sit here in my house, for one and all of them. . Seealso menelaus of alexandria (about 70 - about 140), mathematician.
http://encyclopedia.thefreedictionary.com/Menelaus of Alexandria

Extractions: Dictionaries: General Computing Medical Legal Encyclopedia Word: Word Starts with Ends with Definition Menelaus of Alexandria This page is about Alexandria in Egypt. For other uses see Alexandria (disambiguation). Alexandria (in Arabic, Iskenderia) is a city and chief seaport in Egypt on the Mediterranean Sea. It is the capital of the Al Iskandariyah governate. It was named after Alexander the Great, who founded the city, and was the home of Euclid. For over a thousand years from its foundation it was the capital of the country, the seat of the Ptolemaic dynasty, and quickly became one of the greatest cities of the Hellenistic world, and has remained one of the largest and most important cities of Egypt ever since; nowadays it is the nation's second largest city and still an important center of Hellenism.
Encyclopedia4U - Menelaus Of Alexandria - Encyclopedia Article
Menelausmenelaus of alexandria. Born about 70 in (possibly)Alexandria, Egypt Died about 130 in Not known.
http://www.encyclopedia4u.com/m/menelaus-of-alexandria.html

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