Squaring the Circle and Trisecting an Angle Essay

Squaring the Circle and Trisecting an Angle - Essay Example Babylonian mathematicians has found the way of constructing a square of equivalent area with respect to given circle. The Indian and Egyptians has also shown method of evaluating which appears in Sulba Sutras and Rhind papyrus of 1800 BC respectively. The Egyptian has calculated the value of approximated to 256/81. Archimedes has better precision which approximates the to be in the range of 3+1/7 and 3+10/71. Anaxagoras was supposed to be a first Greek mathematician who has worked in finding the solution of squaring the circle in the first century of AD. Hippocrates of Chios put an effort to solve it by squaring lunes. Antiphon suggested the method of inscribed polygons in circle and increasing the numbers of sides so that square and circle will have infinitesimally small difference in their area. Eudemus was not convinced with the approach. Bryson augmented the theory of Antiphon by circumscribing the polygon to support its validity. This problem was even discussed in the Birds, play written by Aristophanes around 414 BC. Oenopides, Antiphon, Bryson, Hippocrates, and Hippias were the prominent mathematicians who worked the problem during this period. Oenopides was pioneer in searching for use of compass and ruler as method of constructing a proof. He has contributed the method to draw a perpendicular line. James Gregory tried to prove its impossible nature of construction in 1667. Ferdinand von Lindemann finally succeeded in providing substantial proof in 1882. Hippias and Dinostratus have used the quadratrix to design the method of squaring the circle. This curve is created by mechanical method which produces uniform motion of a line equivalent to rotating radius of a circle in same time. The Greek mathematician has invested enough energy and effort for developing the algorithm of dividing arbitrary angle into desired ratio which will be helpful in constructing regular polygon of n sides. Gauss invented the construction of polygons through ruler and compass although Greeks didn't succeed in achievement of such a mathematical feat. Hippocrates was also aware of method to trisect an angle. Archimedes has significant contribution in many of the mathematical principles mentioned in the Book of Lemmas. His work 'On spirals' has general recognition in on the results provided for trisecting an angle. The contemporary mathematician Nicomedes introduced the concept of conchoids curve to formalize the proof of trisecting an angle. It uses rulers and compass methods where ruler rotates around the conchoids curve with axis fixed on root point of the given line. Another mathematician Pappus referred the solution of trisecting an angle by Apollonius applying the construction of conic. Pappus utilizes the geometry of hyperbola for two of his solutions. Mathematics Applied in Solution of the Geometrical Construction Archimedes applies the construction of spiral curves as method of measurement of the circle. In above drawing Archimedes proved that circumference of the circle with radius OP where

Carrying A Concealed Weapon, In California, Is A Threat To Society Essa

  Ã‚  Ã‚  Ã‚  Ã‚  Ã¢â‚¬Å"Matilda Crabtree, 14, was shot and killed by her father when she jumped from the closet and yelled ‘BOO’ to scare her parents; her last words were, ‘I love you, daddy.†(Rottenberg 87) Laws that regulate carrying concealed weapons (CCW) have been wildly debated in the California and the US. There have mainly been two different types of laws. One is a type of legislation known as â€Å"may need† laws, which issues licenses to people who are in absolute need of carrying a concealed weapon. The other is known as â€Å"shall use† laws, which is a lot more lenient for people and makes it easier for the general public to get a gun. This law gives state authorities to issue concealed weapon licenses to any adult who does not have a felony conviction or history of mental illness. The use of firearms is justifiable only when a person is threatened with serious bodily injury. It does not mean that if a person is stealing your system from your car, you can shoot them. Legalizing concealed weapons to the general public is a direct attack on society’s safety in public places. Too many people will resort to force instead of a chance to runaway; everyone would rather be a hero. At the moment there are 31 states in the United States that permit people to possess a concealed weapon; California is not one of them. Carrying a concealed weapon is a threat to society because there have been too many accidents, concealed weapon laws might cause criminals to act more violently, and finally carrying concealed weapons might stimulate violent confrontation.   Ã‚  Ã‚  Ã‚  Ã‚  Ã¢â‚¬Å"Shall use† CCW laws do not cut down the amount of gun violence. Even though these laws are pretty recent, studies show that more carefree concealed weapon laws will not decrease the amount of gun related violence. Based on data collected from three states, University of Maryland researchers David McDowall, Colin Loftin, and Brian Wiersema found that the homicide rates did not significantly drop in these states following the adoption of Concealed Carry Laws. Instead, in three of the five cities studied these researchers found a statistically significant increase in the rate of gun related homicides - 74% in Jacksonville, 43% in Jackson, and 22% in Tampa (Ford 65).   Ã‚  Ã‚  Ã‚  Ã‚  Carrying a concealed weapon creates a false sense of security and diverts attent... ...nal, even when well-trained police officers are involved. The idea that poorly trained, self-appointed vigilantes are running through our streets looking to become heroes, should not make any of us feel safer. Arming a society does not create civility nor does it produce solutions to gun violence. We cannot solve our society’s disease of violence by arming ourselves with the epidemic. Work Sited Fisherman, Steve (1993, October). â€Å"What You Know About Guns Can Kill You,† Vogue, 32-38. Ford, Liam T.A. (1994, August/September). â€Å"Gunning for Change,† Reason, 64-66 Kirchner, Paul (1994, February). â€Å"Defending Gun Ownership,† Chronicles, available from 934 N. Main St., Rockford, IL. 61103-7061 Reese, Charley (1996, January). â€Å"You Can’t Beat an (Armed) Woman,† Conservative Chronicle, available from Box 29, Hampton, IA. 50441. Rottenberg, Annette T. (1997). Cease fire advertisement. The Structure of Argument. Boston: Bedford Books a division of St. Martin’s Press Inc. Sojourners (1994, March). â€Å"Annie Get Your Gun,† available from 2401 15th St. NW, Washington, DC 20009. Voll, Daniel (1995, March). â€Å"The Right to Bear Sorrow,† Esquire, 79-83

My Technologically Challenged Life Essay

Monica’s parents play a huge role in limiting her access to technology. They choose to not use technology which I think is the main reason why they wouldn’t buy a computer for their daughters. Their reasoning sounds extremely familiar to me because my parents have done the same kind of thing to me. I begged my parents for a cell phone from seventh grade until my sophomore year when I finally bought my own but they would always tell me I don’t need a cell phone while my mom had one and my dad had THREE for his work. Anyways, I can relate to Monica on many levels. 2. I don’t think Monica is to blame for her technological difficulties at all. I think the main reason she is having troubles is her parents except for the lack of technology in her car which is obviously the manufacturers doing and not her parents. The lack of technology at the health-care facility is a pretty big issue if you ask me. The technology the workers could be and probably should be usin g would greatly improve the efficiency of the jobs they do. 3. Wunderlich’s reference to the weekend when terrorists were â€Å"supposed to be blowing up† the bridges in san Francisco was her way of adding some comedy to the story because there was probably a bomb threat that day and she could have potentially died simply because she didn’t have a GPS and got lost. If she had owned a GPS at the time, she wouldn’t have gotten so lost and never would have been on both of the bridges on accident.

Brandeis University Acceptance Rate, SAT/ACT Scores, GPA

Brandeis University is a private research university with an acceptance rate of 31%. Established in 1948 and located close to Boston in Waltham, Massachusetts, Brandeis takes pride in its Pulitzer Prize-winning alumni and faculty and 10-to-1 student/faculty ratio. Brandeis has a chapter of  Phi Beta Kappa  and is a member of the  Association of American Universities. Considering applying to Brandeis? Here are the admissions statistics you should know, including SAT/ACT scores and GPAs of admitted students. Acceptance Rate During the 2017-18 admissions cycle, Brandeis University had an acceptance rate of 31%. This means that for every 100 students who applied, 31 students were admitted, making Brandeis admissions process competitive. Admissions Statistics (2017-18) Number of Applicants 11,798 Percent Admitted 31% Percent Admitted Who Enrolled (Yield) 24% SAT Scores and Requirements Brandeis has a test-optional policy which allows students to choose which scores to send with their application for admission. Applicants may provide SAT or ACT scores, 3 exams from an approved list of AP, IB, and SAT Subject tests, or an academic portfolio. During the 2017-18 admissions cycle, 69% of admitted students submitted SAT scores. SAT Range (Admitted Students) Section 25th Percentile 75th Percentile ERW 630 720 Math 650 780 ERW=Evidence-Based Reading and Writing This admissions data tells us that of those who submitted SAT scores, most of Brandeis Universitys admitted students fall within the top 20% nationally on the SAT. For the evidence-based reading and writing section, 50% of students admitted to Brandeis scored between 630 and 720, while 25% scored below 630 and 25% scored above 720. On the math section, 50% of admitted students scored between 650 and 780, while 25% scored below 650 and 25% scored above 780. Applicants with a composite SAT score of 1500 or higher will have particularly competitive chances at Brandeis. Requirements Brandeis does not require the SAT writing section. Note that Brandeis participates in the scorechoice program, which means that the admissions office will consider your highest score from each individual section across all SAT test dates. ACT Scores and Requirements Brandeis has a test-optional policy which allows students to choose which scores to send with their application for admission. Applicants may provide SAT or ACT scores, three AP, IB, or SAT Subject test scores from an approved list, or an academic portfolio. During the 2017-18 admissions cycle, 32% of admitted students submitted ACT scores. ACT Range (Admitted Students) Section 25th Percentile 75th Percentile English 30 35 Math 28 33 Composite 29 33 This admissions data tells us that of those who submitted ACT scores, most of Brandeis Universitys admitted students fall within the top 9% nationally on the ACT. The middle 50% of students admitted to Brandeis received a composite ACT score between 29 and 33, while 25% scored above 33 and 25% scored below 29. Requirements Note that Brandeis does not superscore ACT results; your highest composite ACT score will be considered. Brandeis does not require the ACT writing section. GPA In 2018, the average high school GPA for incoming Brandeis freshmen was 3.83, and over 90% ranked in the top 25% of their class. These results suggest that most successful applicants to Brandeis have primarily A grades. Self-Reported GPA/SAT/ACT Graph Brandeis University Applicants Self-Reported GPA/SAT/ACT Graph. Data courtesy of Cappex. The admissions data in the graph is self-reported by applicants to Brandeis University. GPAs are unweighted. Find out how you compare to accepted students, see the real-time graph, and calculate your chances of getting in  with a free Cappex account. Admissions Chances Brandeis University has a competitive admissions pool with a low acceptance rate and high average SAT/ACT scores. However, Brandeis University has a  holistic admissions  process involving other factors beyond your grades and test scores. Brandeis test-optional policy allows students to choose which scores to send to the university. A strong application and  optional short answer essay, and glowing letters of recommendation can strengthen your application, as can participation in meaningful extracurricular activities and a rigorous course schedule. Students with particularly compelling stories or achievements can still receive serious consideration even if their grades and scores are outside of Brandeis average range. Note that Brandeis offers optional on-campus interviews. While not required, interviews are an opportunity for applicants to demonstrate interest in the university. In the graph above, the blue and green dots represent accepted students. You can see that the majority of successful applicants had high school grades in the A range, combined SAT scores of 1250 or higher (ERWM), and ACT composite scores of 27 or better. Many applicants had impressive 4.0 GPAs. Its important to recognize that high grades and test scores are not enough to get into Brandeis. In the graph, youll notice quite a few red dots (rejected students) and yellow dots (waitlisted students) mixed in with the green and blue. Many students with grades and test scores that were on target for Brandeis University did not receive an acceptance letter. If You Like Brandeis University, You May Also Like These Schools ï » ¿Other generally selective schools similar to Brandeis include  Brown University,  Boston College,  Tufts University, and  Cornell University. All admissions data has been sourced from the National Center for Education Statistics and Brandeis University Undergraduate Admissions Office.