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| | Cissoid of Diocles - Wikipedia, the free encyclopedia |
 | | The reason is that the cissoid of Diocles cannot be constructed perfectly, at least not with compass and straightedge. | | | Xah Lee's page on the cissoid of Diocles | | | Let B be the midpoint of the semicircular arc OP, then AB = AO = AP. |
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http://en.wikipedia.org/wiki/Cissoid_of_Diocles
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| | [No title] |
| | She hasn't told them yet about the 'Diocles Situation,' but she'll be sure to — Xena had to blink to make sure she wasn't hallucinating. | | | Joxer the Mighty stood in front of his mirror, contemplating the sorry ditch that was his love life. | | | "Actually, Diocles himself sent me a pigeon a couple of days ago," Xena explained as she drank her cider. |
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http://thebookcase.org/xwp/text/lprecious.txt
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| | Light |
| | But it's enough to tell us that it was this Diocles who invented the parabolic mirror. | | | All we have is a text that he wrote over 2000 years ago. | | | He tells how one might use burning mirrors in temples for cremations -- how his optics might improve sundial design. |
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http://www.uh.edu/engines/astron2.htm
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| | Greek sources II |
| | Eutocius states that the quote he gives is from Diocles' On burning mirrors but at the time Heath wrote his book no version of Diocles's text had been found, either in Greek or Arabic. | | | Pythian the Thasian geometer wrote a letter to Conon in which he asked him how to find a mirror surface such that when it is placed facing the sun the rays reflected from it meet the circumference of a circle. | | | Although the Arabic text is slightly corrupt at both places where this person's name is mentioned, that is the only plausible way to read the name. |
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http://www-groups.dcs.st-and.ac.uk/~history/HistTopics/Greek_sources_2.html
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| | No. 837: Diocles |
| | Although Diocles makes no such claim, you and I have heard the legend that Archimedes used burning mirrors to set the Roman fleet afire as it invaded Syracuse. | | | But it's enough to tell us that it was Diocles who invented the parabolic mirror. | | | Diocles began with work Archimedes did a century before him. |
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http://www.uh.edu/engines/epi837.htm
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| | .. .. the walls of astyanax |
| | Not all were bold enough to do that unless they were old and beloved, like Diocles. | | | It was almost uncanny; the young man that stood beseechingly before him was most definitely Kassandra's son. | | | He seemed to take pleasure in stocking the house with beautiful and rare things. |
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http://www.commonastherain.com/woa/chap02.html
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| | The Charioteer Diocles |
| | Gaius Appu]leius Diocles, charioteer of the Red faction, a Spanish Lusitanian by birth, he lived for 42 years, 7 months and 23 days. | | | He seems to be crowned with double glory from these novelties. | | | It was noted with admiration by everyone that in one year, with a lead-horse who was not a regular part of his team, with Cotynus and Pompeianus as the two horses on the yoke, he won 99 races, in one race for 60,000 HS, in four for 50,000, one for 40,000, two for 30,000. |
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http://www.umich.edu/~classics/programs/class/cc/372/sibyl/db/C304.html
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| | Cissoid of Diocles |
| | Problems on the cissoid's curvature, arc length, and areas bounded by its asymptote are found in modern calculus texts. | | | Diocles investigated the properties of the focal point of a parabola in On Burning Mirrors. | | | Moreover, if the cusp is taken as the inversion center, the cissoid inverts to a parabola. |
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http://curvebank.calstatela.edu/diocles/diocles.htm
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| | Dictionary of Greek and Roman Biography and Mythology, page 1010 (v. 1) |
| | 36), who must be distinguished from another Pythagorean, Diocles of Phlius, who is mentioned by lainblichus (Vit. | | | The next year he commanded the forces sent by Syracuse and the other cities of Sicily to the relief of Himera, besieged by Hannibal, the son of Gisco. | | | We know nothing of its details, but it is praised by Diodorus for its conciseness of style, and the care with which it distinguished different offences and assigned to each its peculiar penalty. |
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http://ancientlibrary.com/smith-bio/1016.html
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| | It's Saturday |
| | Not knowing what the fuck to do except stew and sweat. | | | # posted by Diocles @ 7:32 PM 1 comments |
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http://diocles.blogspot.com
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| | Eingang zum Volltext |
| | In M. diocles, oviposition may not be linked to nymph performance, because the evolutionary prediction of a relation between female adult preference and nymph performance was missing. | | | Interspecific differences in defensive physical and chemical leaf traits of M. diocles host plants, amongst them leaf toughness the supposedly most effective anti-herbivore defense, seemed not to affect adult female preference and nymph performance. | | | Concluding from significantly increased predation-related mortality at night, I argue that arthropods may be the main predators of this nocturnal herbivore. |
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http://kluedo.ub.uni-kl.de/frontdoor.php?source_opus=1753
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| | Ford, Deborah, and Angelica Smith:Information about King of Sicamber Diocles |
| | King of Sicamber Diocles (son of I Helenus, King of Sicamber) | | | died date unknown in 299 BC Children of King of Sicamber Diocles are: | | | Ford, Deborah, and Angelica Smith:Information about King of Sicamber Diocles |
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http://familytreemaker.genealogy.com/users/s/m/i/Ford-Smith/WEBSITE-0001/UHP-0865.html
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| | Galen [Internet Encyclopedia of Philosophy] |
| | During the end of the fourth century BCE and throughout the third century BCE there were enormous advances in medicine revolving around the principal practitioners: Diocles, Praxagoras, Herophilus, and Erasistratus. | | | However, many of Galen's works are lost, e.g., many of his treatises on philosophy (logic, physics, and ethics) perished in a fire that consumed the Temple of Peace in 191. | | | During this period the debate about the relative roles of theory and observation were central to these writers (Kühn X, 107). |
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http://www.iep.utm.edu/g/galen.htm
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| | Lap VII: Victory to Diocles! |
| | But he can see no door to the crown this day. | | | Diocles (RED) is without guile and nobly urges his team to a last great pace--fastest of all! | | | He hails his RED faction friends and other factions alike. |
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http://www.ancientsites.com/aw/Post/138193
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| | Joseph SHOEMAKER - Martha SIDEWAY |
| | Child: Diocles Of SICAMBRI Birth: 344 B.C., Sicambri | | | 1 Antenor II Of SICAMBRI =Cambra 2 Priamus SICAMBRI =Hecuba 3 Helenus V Of SICAMBRI =Clare Emaline 4 Diocles Of SICAMBRI =Sue Jane 5 Bassanus Magnus Of SICAMBRI =Of The Orcades NORWAY | | | 1 Helenus V Of SICAMBRI =Clare Emaline 2 Diocles Of SICAMBRI =Sue Jane 3 Bassanus Magnus Of SICAMBRI =Of The Orcades NORWAY 4 Clodimir I Of SICAMBRI =Delores ELAINE 5 Nicanor I Of SICAMBRI =Glennis DEE |
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http://www.jhcarney.com/html/people/p00000df.htm
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| | Roman Emperors - DIR Numerian |
| | Diocles then vindicated his claim by running Aper through with his sword. | | | The assembly at which his succession was decided took place on November 20 | | | The premature discovery of the body led to a military assembly in which the commander of the imperial bodyguard, Valerius Diocles accused Aper of having encompassed Numerian's death. |
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http://www.roman-emperors.org/numerian.htm
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| | lucian-eunuch.htm |
| | The matter of doctrines had been thrashed out between them already, and each had displayed his familiarity with their tenets and his adherence to Aristotle and his placita; and by Zeus neither of them had the better of it. | | | That was what the judges dwelt upon, and the point thenceforward at issue was whether the seal of approval should be set upon a eunuch who was proposing himself for a career in philosophy and requesting that the governance of boys be committed to him. | | | Many competitors took part in the funeral games of the deceased, but two of them in particular were the most favoured to win, the aged Diocles (you know the man I mean, the dialectician) and Bagoas, the one who is reputed to be a eunuch. |
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http://www.well.com/user/aquarius/lucian-eunuch.htm
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| | [No title] |
| | The crowd gasped as three chariots were seen in a naufragium. | | | However, when Diocles wasn’t participating in one of his three races that day, they were busy watching other things, like pulchrae feminae and some of the crazy drunks. | | | They were only four of about 150,000 people who had ventured to the races today. |
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http://www.bitsofhistory.com/ace/Spring_03_essays/School_15_John.doc
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| | Hemisphere Differences |
| | This is how a 12th-century Latin codex describes the views of Diocles of Carystus, a famous Athenian physician from the 4th century B.C.: | | | Before Diocles, Alcmaeon and Empedocles had already distinguished between sentience and intellect; moreover, it may already have been surmised in his time that the hemispheres are different in that each one only controls the opposite half of the body. | | | In the first place, there is at least one ancient Greek theory of hemispheric specialization. |
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http://www.tbm.tudelft.nl/webstaf/gertjanl/bbs1985.html
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| | TMTh:: DIOCLES OF ALEXANDRIA |
| | Fragments of Diocles' work exist in Arabic translation in the Escorial (Spain). | | | Diocles solved it by means of two conical sections, an ellipse and an isosceles hyperbola. | | | Diocles drew a curve with two branches symmetrical about a cusp on the diameter and proceeding to infinity; this has since been known as the "cissoid of Diocles". |
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http://www.tmth.edu.gr/en/aet/1/38.html
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| | Dorlands Medical Dictionary |
| | Diocles was a founder of the Dogmatist school; he studied embryology, gynecology, and obstetrics, and he also performed animal dissections (e.g., on the womb of a mule). |
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http://www.merckmedicus.com/pp/us/hcp/thcp_dorlands_content.jsp?pg=/ppdocs/us/common/dorlands/dorland/dmd-d-022.htm
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| | cissoid |
| | Interestingly, Diocles investigated the properties of the focal point of a parabola in On Burning Mirrors (a similar title appears in the works of Archimedes). | | | The name "cissoid," which means "ivy-shaped," first appears in the work of Geminus in the first century B.C. A special case of this curve, now known as the cissoid of Diocles, was first explored by Diocles in his attempt to the solve the classical problem of duplicating the cube. | | | The problem, then as now, is to find a mirror surface such that when it is placed facing the Sun, it focuses the maximum amount of heat. |
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http://www.daviddarling.info/encyclopedia/C/cissoid.html
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| | cissoid |
| | This construction has been done by the Greek scholar Diocles (about 160 BC) | | | Roberval and Fermat constructed the tangent of the cissoid (1634): from a given point there are either one ore three tangents. | | | The name of the curve, meaning 'ivy-shaped', is found for the first time in the writings of the Greek Geminus (about 50 BC). |
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http://www.2dcurves.com/cubic/cubicc.html
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| | Aratus by Plutarch |
| | Now he had never seen Diocles, but made no question of knowing him by the marks Erginus had given him of him; namely, that he had curly hair, a swarthy complexion, and no beard. | | | Being come, therefore, to the appointed place, he stayed waiting for Erginus and Diocles outside the town, in front of the place called Ornis. | | | For Technon, one of Aratus's servants, was sent away to Diocles, that they might together view the wall. |
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http://www.4literature.net/Plutarch/Aratus/5.html
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| | Cissoid |
| | From a given point there are either one or three tangents to the cissoid. | | | This curve (meaning 'ivy-shaped') was invented by Diocles in about 180 BC in connection with his attempt to duplicate the cube by geometrical methods. | | | He also studied the problem of Archimedes to cut a sphere by a plane in such a way that the volumes of the segments shall have a given ratio. |
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http://www-groups.dcs.st-and.ac.uk/~history/Curves/Cissoid.html
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| | Maybe this Explains the Economic Cycle... best Cissoid of Diocles |
| | The Caustic of the cissoid where the Radiant Point is taken as is... | | | If the cusp of the Cissoid of Diocles is taken as the Inversion Center, then the cissoid inverts to a Parabola... | | | curve his name has been added: cissoid of Diocles. |
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http://ascot.pl/th/Fourier3/Cissoid-of-Diocles.htm
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| | Wikipedia: Diocletian |
| | This bronze coin, showing his profile, was minted during Diocletian's rule. | | | He was chosen by the Army in 284 to replace Numerian and after the assassination of Carinus became sole ruler of the Roman Empire. | | | An Illyrian of low birth, Diocles rose through the ranks to the consulship. |
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http://www.factbook.org/wikipedia/en/d/di/diocletian.html
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| | Cissoid de Diocles |
| | El problema es que no hay manera bien definida de conectar los puntos. | | | Si son conectados por la línea segmentos, entonces la construcción estará bien definida, pero no será un cissoid exacto de Diocles, sino solamente una aproximación. | | | Tan por las reglas de clásico, la geometría sintética, Diocles no solucionó el problema de Delian, que no se puede solucionar realmente por tales medios. |
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http://www.yotor.net/wiki/es/ci/Cissoid%20de%20Diocles.htm
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| | Cissoid of Diocles |
| | It is known that this is impossible given just a ruler and compass. | | | To do that, we note that the cissoid of Diocles is a cubic curve with a cusp in the origin, so we can find a rational parametrization by intersecting the cissoid with the line | | | with respect to O. The cissoid of Diocles is the cissoid of a circle and a tangent line, with respect to a fixed point O on the circumference opposite the point of tangency A. The screenshot below shows the cissoid drawn using Jeometry. |
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http://www.geocities.com/CapeCanaveral/Hall/3131/cissoid_diocles.html
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| | Table of contents for Library of Congress control number 2004056141 |
| | Theoretical and empirical elements in Aristotle's treatment of sleep, dreams and divination in sleep 7. | | | Diocles and the Hippocratic writings on the method of dietetics and the limits of causal explanation 3. | | | Principles and practices of therapeutics in the Hippocratic corpus and in the work of Diocles of Carystus 4. |
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http://www.loc.gov/catdir/toc/cam051/2004056141.html
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| | References for Diocles |
| | O Neugebauer, Note on Diocles' "burning mirror", in From ancient omens to statistical mechanics, Acta Hist. | | | G J Toomer, Diocles On Burning Mirrors, Sources in the History of Mathematics and the Physical Sciences 1 (New York, 1976). | | | J P Hogendijk, Diocles and the geometry of curved surfaces, Centaurus 28 (3-4) (1985), 169-184. |
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http://www.gap-system.org/%7Ehistory/References/Diocles.html
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| | Diocles -- Encyclopædia Britannica |
| | A resident of Athens, Diocles was the first to write medical treatises in Attic Greek rather than in the Ionic Greek customarily used for such writings; only fragments of his writings survive. | | | "Diocles." Encyclopædia Britannica from Encyclopædia Britannica Premium Service. |
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http://www.britannica.com/eb/article-9030520?tocId=9030520
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| | Search Tuna Report for Diocletian |
| | Roman Emperors - DIR Diocletian He was of very humble birth, and was originally named Diocles.... | | | In 305, Diocletian retired to his palace near the administrative center of Salona on the Adriatic Sea.... | | | The palace later became the seed of modern Split, Croatia.... |
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http://searchtuna.com/ftlive/3397.html
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| | Philadelphia Rare Books and Manuscripts: Medicine |
| | Among the diverse contents of the tome are "A boke conteynynge the names of the compound medycynes. | | | c5r–f1v), an adaptation of the Summula super plurimis remediis ex Mesue libris of Jacobus de Partibus (i.e., Jacques Desparts); "The epystle of Diocles unto kynge Antigonus. |
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http://www.prbm.com/interest/medicine-j-o.shtml
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| | Western world - encyclopedia article about Western world. |
| | Diocletian brought to an end the period known as the "Crisis of the Third Century" (235-284). | | | AD), born Diocles, was Roman Emperor from November 20 284 to May 1 305. |
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http://encyclopedia.thefreedictionary.com/western+world
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| | CATHOLIC ENCYCLOPEDIA: History of Medicine |
| | Diocles Carystius advanced the knowledge of anatomy, and tried to fathom the causal connection between symptom and disease, in which endeavours he was imitated by Praxagoras of Cos, who established the diagnostic importance of the pulse. | | | Unfortunately, there already began with Aristotle (38-22 B.C.) that tendency -- later rendered so fatal through Galen's teaching - to regard organic structure and function not in accordance with facts but from the teleological standpoint. | | | In spite of this, we owe to this so-called "dogmatic school" some fruitful investigation. |
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http://www.newadvent.org/cathen/10122a.htm
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| | High Field Science: Diocles |
| | When completed in 2005, it will have the highest peak power-rate of any laser in the U.S., 1 PW-Hz, and be capable of directly increasing an electron's mass relativistically by 20X. | | | * In 200 BC, Diocles invented the parabolic reflector, which---to this day---remains the best focusing element by which the intensity of light can be increased. |
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http://www.unl.edu/dumstadter/diocles.htm
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| | DIOCLES ancestry |
| | Meet and collaborate with family members around the world | | | To see DIOCLES ancestry sign up now for our 7-day FREE Trial. | | | Search for up to 3 last names you are interested in. |
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http://donny.onegreatfamily.com/ancestry/Diocles.html
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| | Southern California Lightning Owners Club Forums - View Profile: Diocles |
| | Diocles is not a member of any public groups | | | Southern California Lightning Owners Club Forums - View Profile: Diocles | | | JDM Stage 2, Line-X, DVDNavigation, 10 Gigabyte music server, 2 10" subs, hard wired V1, and a pimp-daddy billet fuel door |
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http://www.socalloc.com/forums/member.php?u=31
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| | courbes : nom et particularités |
| | La cissoïde de Dioclès est la trajectoire décrite par le point M lorsque le point P décrit le cercle. | | | La droite OP coupe en K la tangente au cercle en A. On place M tel que OM = PK. |
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http://www.ifrance.com/JMBreux/courbe_Cissoide_de_Diocles.html
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