Margaret Symington was awarded the Trevor Evans Award in 2013 for her article Euclid Makes the Cut. Margaret Symington is an associate professor of mathematics at Mercer University in Macon, Georgia. Her article was one of many issues from Math Horizons vol. 19 on pages six through nine which was published in 2012. “Math Horizons is a vibrant and accessible forum for practitioners, students, educators, and enthusiasts of mathematics, dedicated to exploring the folklore, characters, and current happenings in mathematical culture.” (http://www.maa.org/press/periodicals/math-horizons) Symington tests her readers to study the connection between two unrelated professions fields: geometric topology and dermatologic surgery. The title Euclid Makes the Cut grabbed my attention and the information within in the article was very interesting as well. Even though the title and the information within the article was interesting to me as a Math Major but what about other individuals? I think regardless if you are a Mathematics major or not the subject was worth writing. Symington explains medicine in a mathematical way and it was amazing to read.
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beginning to end Symington kept me engaged, there was never a dull moment and my mind never wandered off. Using images also was a very effective way to keep readers engaged and also kept the article interesting. Some may feel the images were gross but the article was based on skin grafting and it gave a visual of how geometry helped improve skin grafting. Symington wanted to argue that Mathematics helps us see better, in a way that a simple dermatologic surgery procedure like skin grafting can be improved based on a mathematical topic like Geometry. With the use of some basic geometry definitions and calculations Symington was able to relate these two professions of geometric topology and dermatologic surgery resulting in minimal waste of skin during the skin grafting procedure. According to Google dictionary Topology is the study of geometric properties and spatial relations unaffected by the continuous change of shape or size of figures. Dermatologic surgery deals with the diagnosis and treatment of medically necessary and cosmetic conditions of the skin, hair, nails, veins, mucous membranes and adjacent tissues by various surgical, reconstructive, cosmetic and non-surgical methods. The purpose of dermatologic surgery is to repair and/or improve the function and cosmetic appearance of skin tissue. Knowing these two definitions and with the facts included in the article I would say Symington created a phenomenal argument between the two. The author describes how Dr.
Joshua Lane and she teamed up to make his improvement on a skin graft procedure. Dynamic geometry software and theorems from Euclid revealed the optimal way to cut a lens-shaped skin patch so as to improve the healing process. It mentions that both professions are skilled at cutting, rearranging and reconnecting the pieces by sewing or gluing but mathematicians need only their imaginations. It also presents several mathematical theorems that can be applied during surgery. Which means this article will require some type of Mathematical knowledge. At least Geometry level Math. The kinds of knowledge a reader should have to better understand what is discussed are definition and calculation of diameter and radius, angle measurement symbols, circumcenter, circumcircle, triangle congruency and
vertices. Again Symington purpose is to prove how some mathematical calculations can reduce the amount of skin is loss during skin grafting. She achieves these results by creating a theorem and then utilizing Euclid’s Propositions to prove it. Symington used Proposition 21 and 23 which she rephrased: Theorem 2A: Suppose a point D moves along an arc with endpoints A and B. Then the measure of ∠ ADB stays constant. (See image below.) Theorem 2B: Fix points A and B and suppose a point D moves so that the measure of ∠ ADB remains fixed, greater than 0 and less than π. Then D must be moving along the arc of a circle with endpoints A and B. The article stated a clear idea followed by supporting evidence. The supporting evidence was clearly stated in each paragraph. There were some paragraphs were the information was a bit confusing, which I will explain later, but they remained related to the main idea. The article flowed smoothly and it made sense. The grammar and spelling was correct as well. So overall I would say the article was well written and organized. Within the article there were several terms introduced and defined. Some of those terms that were included in the article were lens triangle, cut angle and circumcenter. I believe Symington could have defined more terms within her article. While reading this article I allowed my high school nephew to read the article as well. The first confusion was topology; he was not sure what the profession was therefore we had to research this profession before proceeding with the article. With that being said including background information on herself as well as Dr. Lane could have been an introduction for the readers to learn what their professions were in details. Give the readers insight on what their duties and procedures were as a topologist and dermatologist. As a college student or even a high school student you wonder why certain general courses are required for certain degrees because you feel they may not be used later on in that profession. As dermatologist you are required to take mathematical courses such as geometry and the reason for this is to be able to determine the degree of infected area on the surface of the skin. As a math major I knew math is used in real life events but I never realized dermatologist analyzed skin grafting to this degree. Which makes me want to learn more about medicine and how math relates to that field of study. I understood the concept the article but I did understand the entire article. I felt more questions were being added to the original purpose of the article. Meaning initially Symington was to show Dr. Lane a way to reduce the amount of skin loss during skin grafting then additional questions such as how do we have less stretching? How do we achieve less pain for the patient? How do we achieve better healing for the patient? These are all great benefits for the patients and due to dynamic geometry software and Euclid theorems they were able to obtain these answers but the information became overwhelming for me. This is an article I will read again in the future for better understanding and just for fun because it was interesting. I would honestly say I was expecting more of comparisons of skin grafting procedures results before mathematical analysis was introduce. It would have been more interesting to see the amount of skin loss before the math perspective was added. Other than these minor expectations I would recommend this article to others to read.
The article Math Is Everywhere! written by Amy Shillady goes right into the fact that preschoolers use math often throughout the day without even realizing it and that it is our job as the teacher to really take advantage of each of these little moments. The article is divided up by how to use specific common preschool classroom materials and then goes into how to support math in each of your learning centers.
In The Aeneid there are rich implemented principles such as fate, discipline, and competition which greatly influenced the Roman empire causing it’s rise from obedience to the principles as well as it’s fall from disobedience. Virgil lived during the dawn of the rising sRoman empire, and his book was a catalyst to the greatness that grew within the nation. The Aeneid focused around the principle that fate’s power and dominance overrule human life, which in turn would bring indolence or proactivity depending on the individual’s capacity. Although fate can easily be ripped down as a belief it did many great things for the Romans whether it is real or not. Unfortunately the themes of deceit and trickery also crept into the book’s contents, which
The Aeneid In the Aeneid, the author Virgil outlines the significance of authority by reiterating the need for Aeneas to fulfill his destiny in relation to pietas, devotion to family and country, as the central Roman virtue in the underworld. Virgil successfully uses the underworld to capture and dramatize the importance of authority by allowing Aeneas to see the future Rome due to his leadership through many forms and histories of Roman authority. Once the Trojans were on the shores of Italy, Aeneas had yet another duty to fulfill: a visit to the underground, where he met Sibyl, the "holy prophetess (pg. 149)." After the God Delian (pg.149) breathed "visionary might" into Sibyl, she and Aeneas were able to visit the Earth's hidden world. In this world, he learned what happens to the souls of the dead. Most likely, it served as a future lesson for Aeneas (especially after being guilty of neglecting his duty for his true love of Italy while indulging with Dido) which is still believed and practiced today: the kind of life that we lead; the way we die, self - inflicted or not; and how we are buried after death are all of great significance - that all good deeds in life deserve the goodness of heaven, and all bad deeds deserve the pain and the punishment of hell. "Philgyas in extreme of misery cries loud through the gloom appeals warning to all mankind: Be warned, learn righteousness; and learn to scorn no god (pg.
Frey, K. R. (2007). Surgical Technology for the Surgical Technologist. Clifton Park, NY: Delmar Cengage Learning.
Euthyphro, is one of the many dialogues that was written by the Greek philosopher Plato dicussion the quest for wisdom by his mentor, Socrates. The time that The Euthyphro takes place is doing the time of a trial that Socrates is in regarding some here say that he was corrupting the youth of Athens, and ultimately leads to his demise. It is very important issue due to the system Socrates used to try to understand wisdom, and gives some input on his and Plato's view on holiness altogether. In all, the Euthyphro is a view of how the Socratic way of getting wisdom works and it enters into what Socrates and Plato define holiness as.
The term “Oedipus complex” (or, less commonly, Oedipal complex), explains the strong emotions and ideas that the mind keeps deep within the unconscious of where a child, most notably male, is attracted to his own mother in a sexual nature. In society, incest is looked down upon because it crosses the forbidden zone, the desire for sexual relations, which deviates from the traditional parent-to-child relationship. This term was coined after the ancient Greek tragedy, Oedipus the King. The original script was first written around 429 B.C, by Sophocles. He was most famously known to be one of the three ancient Greek tragedians whose plays have survived to this day. Knowing that he is a playwright who specializes in writing about the human condition
Euripides is a keen witness to the human character and the father of the psychological theater. His plays were modern at the time compared to others because of the way he focused on the personal lives and motives of his characters, in a manner that was unfamiliar to Greek audiences. His plays have often been seen, in simple terms, bad because critics have been unable to comprehend his visions. The ideas and concepts that Euripides developed were not accepted until after his death.
One can hardly deny that in Euripides’ plays women are often portrayed as weak, uncertain, and torn between what they must do and what they can bring themselves to do. Other women appear to be the root of grave evils, or simply perpetrators of heinous crimes. In a day when analysis of characters and plot had yet to be invented, it is easy to see why he might have been thought to be very much against women. However, when looking back with current understanding of what Euripides was doing at the time, armed with knowledge of plot devices and Socratic philosophy, this argument simply does not hold up. In fact, a very strong argument can be made to the opposite, that Euripides was in fact very much in support of women’s rights, and thought they were treated unfairly.
...y within a medical setting has stepped away from the shadows and into a brighter future with the development of the da Vinci Surgical System in the medical world. Before the surgical robot, doctors or surgeons would have had to make several incisions to their patient’s body, which would cause the patients recovery to be elongated and possibly painful. The da Vinci Surgical System allows surgeons to make smaller, less visible incisions to the patient’s body and have a better precision during the procedure. Throughout several years, surgeons relied on their typical laparoscopic surgery to be able to provide patients with the procedures that required them to make large incisions through the patient’s abdomen. Nowadays, surgeons and their patients can have a sigh of relief because the surgical robot provides surgeons with the precision that they long strived for.
Euclid and Archimedes are two of the most important scientists and mathematicians of all time. Their achievements and discoveries play a pivotal role in today’s mathematics and sciences. A lot of the very basic principles and core subjects of mathematics, physics, engineering, inventing, and astronomy came from the innovations, inventions, and discoveries that were made by both Euclid and Archimedes.
The Greek myth has influenced western society since hundreds of years ago, and Orpheus and Eurydice is a story, which illustrates this notion. This story records a god’s story, whose name is Orpheus. Orpheus was the god who had genius at singing and writing poets. There was a saying that: “If the Apollo was the greatest musician of the gods, Orpheus was supreme among the mortals.” Orpheus used his singing skills conquer Eurydice’s heart.
Euripides’ style of work mostly focus on personal issues and dilemmas. He portrayed the flaws of humans and heros in his plays during ancient Greek, thus he was not a very popular writer during his time. As shown in one of his famous work, Medea, centralizes on the characters Medea and Jason and their broken marriage and erratic behaviors. Euripides use his main characters to express his opinion of Greek society during his time. In Medea, he uses Medea and Jason to express his concern of the disfunction of marriage, divorce, and vengeance. He reveals the flaws of Medea and Jason as he develops through the play. Medea and Jason made decisions that hurt each other, their marriage, and other victims. They justified their wrongdoings not because they were saving themselves, because they
Flipping through the pages of Vogue's latest edition, 23 year-old Susan seems quite upset. She struggles with the thought of lacking the perfect body and delicate features in order to be considered attractive. Surprisingly, Susan is not alone in this kind of an internal struggle. In contemporary society, every other woman aspires to have the lips of Angelina Jolie and the perfect jaw line of Keira Knightley. Society today looks down upon individuals that do not fit in, whether in terms of body shape or facial attractiveness. This forces them to consider the option of 'ordering beauty.' Since cosmetic surgery is no longer a social taboo in America given its widespread popularity, more people are promoting it which ultimately affects the rest of the world due to the unwavering influence of American culture. Cosmetic surgery should be deterred in the US because it promotes the idea of valuing appearance over ability, gives rise to unrealistic expectations, and brings with it high cost to society.
Euripides is famous for his numerus plays. Many of those plays presented the audience with a dilemma. We’re not talking about whether or not you should have a hot dog or hamburger at a barbeque, but a moral dilemma. In the play Medea, Euripides gives his audience many different dilemmas to consider. One of those dilemma’s concerns Medea’s state of mind Throughout the play the audience is forced to ask, “Did Medea act out of mad reckless rage or with sane, well thought-out plans.”
Euclid of Alexandria was born in about 325 BC. He is the most prominent mathematician of antiquity best known for his dissertation on mathematics. He was able to create “The Elements” which included the composition of many other famous mathematicians together. He began exploring math because he felt that he needed to compile certain things and fix certain postulates and theorems. His book included, many of Eudoxus’ theorems, he perfected many of Theaetetus's theorems also. Much of Euclid’s background is very vague and unknown. It is unreliable to say whether some things about him are true, there are two types of extra information stated that scientists do not know whether they are true or not. The first one is that given by Arabian authors who state that Euclid was the son of Naucrates and that he was born in Tyre. This is believed by historians of mathematics that this is entirely fictitious and was merely invented by the authors. The next type of information is that Euclid was born at Megara. But this is not the same Euclid that authors thought. In fact, there was a Euclid of Megara, who was a philosopher who lived approximately 100 years before Euclid of Alexandria.