1. Menaechmus Store menaechmus Listing of 3 menaechmus items available for purchase at our online store. Click here for menaechmus and menaechmus related products. menaechmus Store. Buy menaechmus books and other http://www.mathbook.com/bio/m/Menaechmus

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2. Plautus' Menaechmi in Latin damnum (loss) and Epidamnus. Cylindrus, menaechmus II, and Messenio (pp Comic misunderstanding menaechmus II misunderstands the name Peniculus and takes it in http://depthome.brooklyn.cuny.edu/classics/course/twins.html

PLAUTUS’ MENAECHMI Prologue (pp. 77-79) It is important to the plot to understand why both twins have the same name. Note how the speaker of the prologue breaks the dramatic illusion in lines 1-16 and 72-76. This is an example of metatheater. Monologue of the Parasite Peniculus (pp. 79-80) Why is Peniculus so devoted to Menaechmus I ? His dependence on Menaechmus I will be important for the plot later. Menaechmus I and Peniculus (pp. 80-84) Note that Plautus often makes his characters in this play enter singing as Menaechmus I does here (lines 110-126). Erotium, Menaechmus I, Peniculus, and Cylindrus (pp. 84-86) Comic devices: 1) double-entendre joke (line 193); 2) hyperbole: Menaechmus I (lines 199-201): Aside: Peniculus (line 195) Menaechmus II and Messenio (pp. 86-88) Why does Messenio ask the unnecessary question: why have we come to Epidamnus? Messenio, like Palaestrio, is a loyal slave, but he is not a trickster. Word play (lines 263-264): ‘undamaged’ and ‘Epidamnus’ (in Latin ‘damnum’ (‘loss’) and Epidamnus. Cylindrus, Menaechmus II, and Messenio (pp. 88-91)

3. Menaechmi: Menaechmus' Monologue A monologue from the play by Titus Maccius Plautus. menaechmus If you weren't mean, if you weren't stupid, if you weren't a violent virago, what you see displeases your http://www.monologuearchive.com/p/plautus_005.html

MENAECHMI A monologue from the play by Titus Maccius Plautus NOTE: This monologue is reprinted from Plautus, vol. II . Trans. Paul Nixon. London: William Heinemann, 1917. MENAECHMUS: [in a lower tone as his wife goes back inside] And furthermore, that you may not watch me for nothing, I'll reward your diligence by taking a wench to dinner and inviting myself out somewhere. Hurrah! By Jove, at last my lecture has driven her away! [looks around] Where are your married gallants? Why don't they all hurry up with gifts and congratulations for my valiant fight? [showing a woman's mantle worn underneath his cloak] This mantle I just now stole from my wife inside there, and [gleefully] it's going to a wench. This is the way to doto cheat a cunning jailer in such clever style! I have taken booty from the enemy without loss to my allies! Purchase this play!

4. Section 1.b Menaechmus' Constructions Conic Sections Before Cones. menaechmus' Constructions. Let us consider how menaechmus constructed the two mean proportionals. 14, pp. 278283. Let the given lengths be a and b. next section http://nsm1.nsm.iup.edu/gsstoudt/conics/section_1_b.html

previous section Contents next section , Why Do Menaechmus' Constructions Work? Conic Sections Before Cones Menaechmus' Constructions Let us consider how Menaechmus constructed the two mean proportionals. [14, pp. 278-283] . Let the given lengths be a and b . Let a straight line be given to serve as the axis, with a point D on the line to serve as the origin. Construct a parabola with the given axis, with vertex at D , and latus rectum a . This is equivalent to constructing a square on ordinate y equal to the rectangle on the latus rectum with side x . Note that this makes y the geometric mean of the latus rectum and the side x . Consider the diagram below to see why. Sorry, this page requires a Java-compatible web browser. (The height of the rectangle is x , the abscissa. Click the red X in the lower right of the sketch to clear the trace. Download the Geometer's Sketchpad 4.0 file.) From the above sketch you can convince yourself that this does indeed generate a parabola. (If you would like to see how to construct a parabola pointwise, using Euclidean tools, download this Geometer's Sketchpad 4.0 file

5. Menaechmus menaechmus. menaechmus is mentioned by Proclus who tells us that he wasa pupil of Eudoxus in the following quote (see for example 3) http://www-gap.dcs.st-and.ac.uk/~history/Mathematicians/Menaechmus.html

Menaechmus Born: about 380 BC in Alopeconnesus, Asia Minor (now Turkey) Died: about 320 BC Show birthplace location Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Main index Menaechmus is mentioned by Proclus who tells us that he was a pupil of Eudoxus in the following quote (see for example [3]):- Amyclas of Heraclea, one of the associates of Plato , and Menaechmus, a pupil of Eudoxus who had studied with Plato , and his brother Dinostratus made the whole of geometry still more perfect. There is another reference in the Suda Lexicon (a work of a 10 th century Greek lexicographer) which states that Menaechmus was (see for example [1]):- ... a Platonic philosopher of Alopeconnesus, or according to some of Proconnesus, who wrote works of philosophy and three books on Plato 's Republic... Alopeconnesus and Proconnesus are quite close, the first in Thrace and the second in the sea of Marmara, and both are not far from Cyzicus where Menaechmus's teacher Eudoxus worked. The dates for Menaechmus are consistent with his being a pupil of Eudoxus but also they are consistent with an anecdote told by Stobaeus writing in the 5 th century AD. Stobaeus tells the rather familiar story which has also been told of other mathematicians such as

6. Menaechmus Biography of menaechmus (380BC320BC) menaechmus. Born about 380 BC in Alopeconnesus, Asia Minor (now Turkey) in the sea of Marmara, and both are not far from Cyzicus where menaechmus's teacher Eudoxus worked http://www-groups.dcs.st-and.ac.uk/~history/Mathematicians/Menaechmus.html

Menaechmus Born: about 380 BC in Alopeconnesus, Asia Minor (now Turkey) Died: about 320 BC Show birthplace location Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Main index Menaechmus is mentioned by Proclus who tells us that he was a pupil of Eudoxus in the following quote (see for example [3]):- Amyclas of Heraclea, one of the associates of Plato , and Menaechmus, a pupil of Eudoxus who had studied with Plato , and his brother Dinostratus made the whole of geometry still more perfect. There is another reference in the Suda Lexicon (a work of a 10 th century Greek lexicographer) which states that Menaechmus was (see for example [1]):- ... a Platonic philosopher of Alopeconnesus, or according to some of Proconnesus, who wrote works of philosophy and three books on Plato 's Republic... Alopeconnesus and Proconnesus are quite close, the first in Thrace and the second in the sea of Marmara, and both are not far from Cyzicus where Menaechmus's teacher Eudoxus worked. The dates for Menaechmus are consistent with his being a pupil of Eudoxus but also they are consistent with an anecdote told by Stobaeus writing in the 5 th century AD. Stobaeus tells the rather familiar story which has also been told of other mathematicians such as

7. References For Menaechmus References for menaechmus. Biography The URL of this page is http//wwwhistory.mcs.st-andrews.ac.uk/References/menaechmus.html. http://www-gap.dcs.st-and.ac.uk/~history/References/Menaechmus.html

References for Menaechmus Biography in Dictionary of Scientific Biography (New York 1970-1990). Books: J L Coolidge, A history of the conic sections and quadric surfaces (Oxford, 1945). T L Heath, A History of Greek Mathematics (2 Vols.) (Oxford, 1921). Articles: G J Allman, Greek Geometry from Thales to Euclid (Dublin-London, 1889), 153-179. Main index Birthplace Maps Biographies Index History Topics ... Anniversaries for the year JOC/EFR April 1999 School of Mathematics and Statistics University of St Andrews, Scotland The URL of this page is: http://www-history.mcs.st-andrews.ac.uk/References/Menaechmus.html

8. The Brothers Menaechmus THE BROTHERS menaechmus. by Titus Maccius Plautus. brought to the stage by the Furman University Theater. and the Classics faculty and students. of Furman University. January 31February 3, 6-10, 1996. About the Translation Rich Prior Peniculus, menaechmus I, Cylindra, Matrona, Senex, Medicus http://www.acs-classics.rhodes.edu/ACS/users/prior/MenaechmiFU.html

9. Menaechmus (ca. 380 BC-?) -- From Eric Weisstein's World Of Scientific Biography menaechmus (ca. 380 BC?), Greek mathematician and geometer said tohave been the tutor of Alexander the Great. When his pupil asked http://scienceworld.wolfram.com/biography/Menaechmus.html

Branch of Science Mathematicians Nationality Greek Menaechmus (ca. 380 BC-?) Greek mathematician and geometer said to have been the tutor of Alexander the Great. When his pupil asked him for a shortcut to geometry, he replied "O King, for traveling over the country, there are royal road to geometry and roads for common citizens, but in geometry there is one road for all" (Beckmann 1989, p. 34). However, this quote has also been attributed to the tutor of Napoleon Bonaparte. Additional biographies: MacTutor (St. Andrews) References Beckmann, P. A History of Pi, 3rd ed. New York: Dorset Press, 1989.

10. Menaechmus menaechmus. menaechmus made his discoveries on conic sections whilehe was attempting to solve the problem of duplicating the cube. http://intranet.woodvillehs.sa.edu.au/pages/resources/maths/History/Mnchms.htm

Menaechmus Born: about 380 BC in Alopeconnesus (near Cyzicus), Asia Minor (now Turkey) Died: about 320 BC in Not known Show birthplace location Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Welcome page Menaechmus is famed for his discovery of the conic sections and he was the first to show that ellipses, parabolas, and hyperbolas are obtained by cutting a cone in a plane not parallel to the base. Menaechmus made his discoveries on conic sections while he was attempting to solve the problem of duplicating the cube. Menaechmus is mentioned by Proclus who tells us that he was a pupil of Eudoxus in the following quote Amyclas of Heraclea, one of the associates of Plato , and Menaechmus, a pupil of Eudoxus who had studied with Plato , and his brother Dinostratus made the whole of geometry still more perfect. References (3 books/articles) References elsewhere in this archive: Show me more about conic sections Show me Menaechmus's construction for the duplication of the cube Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Welcome page History Topics Index Famous curves index ... Search Suggestions JOC/EFR December 1996 The URL of this page is: http://www-history.mcs.st-andrews.ac.uk/history/Mathematicians/Menaechmus.html

11. Plautus­­ The Menaechmi This kidnapped boy's name was menaechmus. menaechmus' father was depressed at his son's loss and died of that he gave the name menaechmus to the surviving twin, who up http://www.acs-classics.rhodes.edu/ACS/users/prior/Men.script.a0.html

12. References For Menaechmus References for menaechmus. JOC/EFR December 1996 The URL of this page is http//wwwhistory.mcs.st-andrews.ac.uk/history/References/menaechmus.html. http://intranet.woodvillehs.sa.edu.au/pages/resources/maths/History/~DZD57F.htm

References for Menaechmus Biography in Dictionary of Scientific Biography (New York 1970-1990). Articles: G J Allman, Greek Geometry from Thales to Euclid (Dublin-London, 1889), 153-179. T L Heath, A History of Greek Mathematics I (Oxford, 1921), 251-255. Close this window or click this link to go back to Menaechmus Welcome page Biographies Index History Topics Index Famous curves index ... Search Suggestions JOC/EFR December 1996 The URL of this page is: http://www-history.mcs.st-andrews.ac.uk/history/References/Menaechmus.html

13. Knorr And Menaechmus Knorr and menaechmus. post a message on this topic. post a message on a new topic. 13 Sep 1998 Knorr and menaechmus, by Michael Fried. 13 Sep 1998. Re Knorr and menaechmus, by Jim Propp. The Math Forum http://mathforum.com/epigone/math-history-list/clinbospa

a topic from math-history-list Knorr and Menaechmus post a message on this topic post a message on a new topic 13 Sep 1998 Knorr and Menaechmus , by Michael Fried 13 Sep 1998 Re: Knorr and Menaechmus , by Jim Propp The Math Forum

14. Conics Sections, Apollonius, Menaechmus And Others Apollonius and menaechmus. The specific problem considered by menaechmuswas to find two mean proportionals between two straight lines. http://www.mlahanas.de/Greeks/Conics.htm

Apollonius and Menaechmus It is Apollonius of Perga (about 262 BC - about 190 BC), a Greek geometer, who is usually considered the inventor of the conics sections that leads to the circle, ellipse, parabola and hyperbola that are the possible trajectories of a body in a gravitational field (At least if we ignore some relativistic effects). Apollonius is known as the "Great Geometer" based on his work Conic Sections , an eight-"book" series on the subject. The first four books have come down to us in the original Ancient Greek, but books V-VII are known only from an Arabic translation, while the eighth book has been lost entirely. The Conics Sections is one of the most difficult and complex known mathematical work of ancient Greek mathematicians. Hilal ibn Hilal al-Himsi translated the first four volumes of the Conic Sections while book V to VII were translated by Thabit ibn Qurrah. The Conic Sections is one of the most important mathematical books ever written! Apollonius wrote many books but only the Conics survived partly. Other books considered that he has written area

15. Section 1.c Why Do Menaechmus' Constructions Work? has double the volume of a cube of side a. Was menaechmus the first to use conic sections cone in the triads of menaechmus, or to produce any such curved http://nsm1.nsm.iup.edu/gsstoudt/conics/section_1_c.html

previous section Contents next section , Conics as Orthogonal Sections Cones Conic Sections Before Cones Why Do Menaechmus' Constructions Work? Reconsider the mean proportionals x and y of a and 2 a With the help of modern analytic geometry, we see that this is equivalent to solving simultaneously two of x ay y ax , and xy a . You should notice immediately that x ay and y ax are equations of parabolae, and xy a is the equation of a hyperbola. Solving these equations simultaneously is equivalent to intersecting these conics. Taking the second and third equations and solving them simultaneously gives x a , so a cube of side x has double the volume of a cube of side a Was Menaechmus the first to use conic sections? In the same work by Eutocius we have a description of Eratosthenes ' (3rd century B.C.) ( pronunciation ) solution to the problem of finding two mean proportionals. In regards to the merits of his own solutions, Eratosthenes is quoted as saying "Do not seek to do the difficult business of the cylinders of Archytas [another method of solution], or to cut the cone in the triads of Menaechmus, or to produce any such curved form in lines as is described by the divine Eudoxus." [14, p. 297]

16. The Menaechmus Twins, And Two Other Plays (The Norton Library, N602) By Titus Ma Buy The menaechmus Twins, and Two Other Plays (The Norton Library, N602) by TitusMaccius Plautus, et al (Paperback September 1971) from home at our online http://www.mathbook.com/bio/m/Menaechmus/The_Menaechmus_Twins_and_Two_Other_Play

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17. Menaechmus Twins, And Two Other Plays; Author: Plautus; Author: Plautus, Titus M menaechmus Twins, And Two Other Plays Author Plautus; Author Plautus, Titus Maccius http://www.netstoreusa.com/pabooks/039/0393006026.shtml

Menaechmus Twins, And Two Other Plays English Books German Books Spanish Books Sheet Music ... NEW RELEASES Menaechmus Twins, And Two Other Plays Author: Plautus; Author: Plautus, Titus Maccius Series#:N602; Norton Library (Paperback); Paperback 237 pages Published: September 1971 ISBN: 0393006026 PRODUCT CODE: 0393006026 USA/Canada: US$ 10.90 Australia/NZ: A$ 18.65 Other Countries: US$ 19.30 convert to your currency Delivery costs included if your total order exceeds US$50. We do not charge your credit card until we ship your order. Government and corporate Purchase Orders accepted without prior account application. PLACE AN ORDER To prepare to buy this item click "add to cart" above. You can change or abandon your shopping cart at any time before checkout. CHECK ORDER STATUS Check on order progress and dispatch. CHANGE OR CANCEL YOUR ORDER Please E-mail us within one hour The NetStoreUSA website is operated by Open Communications, Inc an Arizona corporation, which has successfully served the Internet community since 1994. Site Design by GillespieFox ( www.gillespiefox.com

18. T. Maccius Plautus: The Brothers Menaechmus The Brothers menaechmus. T. Maccius Plautus. Translated by EF Watling.Review date 19/3/1999 Publisher Penguin Translation 1965. http://www.geocities.com/Athens/Academy/6422/rev0225.html

The Brothers Menaechmus T. Maccius Plautus Translated by E.F. Watling Review date: 19/3/1999 Publisher: Penguin Translation: 1965 Of all Plautus' plays, the plot of this one is the best known to English speaking readers, as it is the basis for Shakespeare's Comedy of Errors . The major changes Shakespeare made were to increase the length of the play and the number of characters, making the brothers' servants twins as well as their masters and introducing the idea of the execution of Aegeon. Plautus' play has no such serious side and is much more purely farcical, much play being made over the way one brother steals a dress of his wife's to give it to his mistress (he smuggles it out of the house by wearing it with his own clothes). That really says all there is to say about this play; it is entertaining and funny, but has nothing serious to say. Return to list of reviews by author by submission date

19. Menaechmus http://www.math.uvic.ca/courses/math415/Math415Web/greece/gmen/menaech.html

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20. Picture Of Menaechmus http://www.math.uvic.ca/courses/math415/Math415Web/greece/gmen/menaechpict.html

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