...Hammurabi The code of Hammurabi was written by King Hammurabi, the sixth king of the first babylonian dynasty.Hammurabi ruled the Babylonian Empire from 1792 BC. to 1750 BC. Hammurabi came to power by using his advanced military and political tactics to unite many smaller city states to unite his mighty empire. Not long after his reign began, Hammurabi created the code of hammurabi. Written on large clay tablets, the code of Hammurabi consisted of 262 rules/laws covering a variety of subjects including adultery,family law and property law. Hammurabi created these laws following a philosophy of the punishment must fit the crime. In essence, the magnitude of a crime must fit the magnitude of the punishment. Furthermore, the code of Hammurabi played a detrimental role in the development of the babylonian empire. Many speculations can be made from reading these rather harsh, laws about the babylonian empire. Law’s played an important role in the development of Hammurabi’s empire....
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...An Eye for the Truth The Laws of ancient civilizations may be confusing to some people nowadays, but, when put into the context of the location, time, and mindset of the people who created these laws, they become much more reasonable within that framework. In this essay, two distinct sets of laws from the ancient civilizations will be compared and contrasted; The Code of Hammurabi, by Hammurabi, the sixth Babylonian king in the 1700s B.C. and the Ten Commandments and Exodus, written, or at least attributed to Moses. The first difference that must be noted is the way that the laws are introduced, or the prologues, one obviously polytheistic, the other blatantly monotheistic. The Code of Hammurabi says in its prologue, “at that time Anum and Enlil named me to promote the welfare of the people.”1 It also mentions Igigi and Anumnaki, minor gods who attend to the major gods Enlil and Anum respectively, so very clearly a polytheistic setting there, as these gods appoint Hammurabi as the promoter of the people’s welfare. The Ten Commandments states, in contrast, “I am the Lord your God, who brought you out of the land of Egypt, out of the house of slavery, you shall have no other gods before me.”2 This starting sentence immediately says that there is only one god, and later in the passage it also mentions as one of the laws not to create any idol.3 These two societies then might be said to have different social values in the idea that as a monotheistic person, you would be expected...
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...of Mari and Eshnunna King Hammurabi conquered Larsa, putting an end to the long reign of Rim-Sin I. 1755 BC Captured Eshnunna which was the last of his Mesopotamian rivals. 1750 BC King Hammurabi died and passed the reigns of the empire to his son, Samsu-iluna. 1738 BC Under Samsu-iluna’s rule his empire fell to the Sealand Dynasty. 1595 BC Babylonian empire restored to glory of the Hammurabi’s age. 1901 Code of Hammurabi monument is discovered by French archaeologists. 1910 The Code of Hammurabi was translated by Leonard William King. During the rule of King Hammurabi he wrote the Code of Hammurabi. This consisted of many laws that changed the society, hindered women’s rights and independence and left a lasting impression for future generations. Were these laws too tough for the people to handle or where they what the Mesopotamia society needed to bring order and justice to their society? The laws of the Hammurabi Code created strict rules with severe punishments for their violation. There are 282 laws that were supposed to protect the poor from the wealthy; the weak from the strong; and so on. However, “some of the laws...
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...Ancient Astronomy • The regularity of the motions of stars and constellations across the heavens made them useful to ancient societies for such things as timekeeping and navigation, and led to the need for a practical means of tracking their movements • Many ancient cultures built large structures to track the movement of objects in the heavens, which functioned as primitive calendars • The best known of these ancient structures is Stonehenge, a stone circle built in England during the Stone Age, which is believed to have allowed its builders to keep track of dates through observation of celestial events • The alignment of the stones corresponds to events such as the rising of the Sun at the summer solstice, and the rising and setting of the Sun and Moon at other times of the year • Many other cultures built monuments with similar alignments and purposes, such as the Big Horn Medicine Wheel in Wyoming and the Caracol temple in Mexico’s Yucatan peninsula, though the association of these structures with astronomy is more controversial • A more certain candidate for a North American calendar is the Sun Dagger in New Mexico, a rock formation structured such that a sliver of light passes through a carved stone spiral at noon on the summer solstice • There are several sites similar to the Sun Dagger found throughout the American southwest • The ancient Chinese also kept detailed records of astronomical events for astrological purposes; modern astronomers still refer to their...
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...The Babylonian Captivity (the key points) The Babylonian exile was the period in Jewish history during which the Jews of the ancient Kingdom of Judah were captives in Babylon. According to the Hebrew Bible, there were three deportations of Jews to Babylon. The first, in 597 BCE, involving king Jeconiah and his court and many others, a second in 587 BCE of the next king, Zedekiah, and the rest of the people, and a possible deportation after the assassination of Gedaliah, the Babylonian-appointed governor of Yehud Province, possibly in 582 BCE. The forced exile ended in 538 BCE after the fall of Babylon to the Persian king Cyrus the Great, who gave the Jews permission to return to Yehud province and to rebuild the Temple; but most Jews chose to remain in Babylon.[citation needed] The captivity and subsequent return to the Land of Israel and the rebuilding of the Second Temple in the Jerusalem are considered significant events in Jewish history and culture, which had a far-reaching impact on the development of Judaism. The term "Babylonian captivity" is sometimes used when referring to the Avignon Papacy, a period of Medieval Catholic history, because of perceived parallels between the two.[1] In the late 7th century BCE, the kingdom of Judah was a client state of the powerful Assyrian empire. In the last decades of the century Assyria was overthrown by Babylon, an Assyrian province with a history of former glory in its own right. Egypt, fearing the sudden rise of the Neo-Babylonian...
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...Pythagorean Quadratic Diane Todd MAT 221 Introduction to Algebra Instructor Alicia Davis September 29, 2013 Treasure hunts have always been a big deal in our home. Having raised five boys, anything to do with an adventure was exciting. Actually, this past June I planned one of my grandsons birthday parties around the theme of pirates and treasure hunting. I had never considered the math that went behind the maps in which I made up. Needless to say, when I saw the question entitled “buried treasure” in our math book, it brought back numerous memories. Ahmed has half of a treasure map, which indicates that the treasure is buried in the desert 2x + 6 paces from Castle Rock. Vanessa has the other half of the map. Her half indicates that to find the treasure, one must get to Castle Rock, walk x paces to the north, and then walk 2x + 4 paces to the east. If they share their information, then they can find x and save a lot of digging. What is x? Even though Ahmed’s half of the map does not tell him which direction the 2x + 6 paces should go, Ahmed can assume that his and Vanessa’s paces should end up in the same place. If I sketch out this scenario on paper, I see that I have a right triangle with 2x + 6 being the length of the hypotenuse, and 2x + 4 being the legs of the triangle. I now can use the Pythagorean Theorem to solve for x. The Pythagorean Theorem states that in every right triangle with legs of length a and b and hypotenuse of c, these...
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...A Treasure Hunt at Castle Rock using Pythagorean Quadratic June Tye-Patterson Math 221: Introduction to Algebra Instructor: Shenita Talton 07-13-2014 A Treasure Hunt at Castle Rock using Pythagorean Quadratic For this week assignment we are given a word problem and the use of the Pythagorean Theorem to solve it. We will be helping Ahmed and Vanessa, who both have a half of a map, find buried treasure in the desert somewhere around a place named Castle Rock. Ahmed map says the treasure is 2x+6 paces from Castle rock, whereas, Vanessa map says in order to find the treasure, go to Castle Rock, walk x paces to the north and then walk 2x+4 paces to the east. In order to discover the location of the treasure, we need to factor down the three quadratic expressions by putting the measurements into the Pythagorean Theorem. The first thing we need to do is to write an equation by inserting the binomials into the Pythagorean Theorem, which also states that every right triangle with legs of length have the relationship of a^2+b^2=c^2 x^2+ (2x+4)^2=(2x+6)^2 The binomials into the Pythagorean Theorem. x^2(2x+4) (2x+4)=(2x+6) (2x+6) The equation squared. x^2 4x+8x+8x+16=4x^2+12x+12x+36 Equation FOILED or distributed. x^2+4x^2=5x^2 First two terms added...
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...History of Trigonometric Functions Mathematics is nearly as old as humanity itself. Since antiquity, mathematics has been a fundamental to the advances in science, engineering, and philosophy. It has evolved from simple counting, measurement and calculations, and shapes through the application of abstraction, logic, and complex trigonometric functions. Trigonometric functions are the functions of angles. They relate the angles of a triangle to the lengths of its sides. These functions are important in the study of triangles and modeling periodic phenomena, among many other applications. Most people are familiar with the trigonometric functions of sine, cosine, and tangent. The functions of sine cosine and tangent are used in a variety of ways from finding refraction angles of waves to finding the angles or sides in a triangle. Two main mathematicians that have helped improve the knowledge of trigonometric functions are Aristarchus of Samos and Hipparchus. Both of these men are from the B.C. era but both made advancements with trigonometric functions using what they had. Each of the mathematicians has impacted the world of math greatly and also has influenced society today. Aristarchus of Samos was one of the mathematicians who contributed to trigonometric functions and was born in 310 BC in Samos Greece. As an astronomer Aristarchus studied the earth and material universe beyond earth’s atmosphere. Like his predecessors Aristarchus of Samos believed in the...
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...Pythagorean Quadratic Treasure Hunters Pythagorean Quadratic Treasure Hunters Introduction to Algebra Treasure Hunters Ahmed and Vanessa both have possession of one half of a complete treasure map. Ahmed’s map shows the treasure is buried in the desert 2x + 6 paces from Castle Rock. Vanessa’s map shows the treasure buried at x paces to the north and 2x + 4 paces to the east. When the two combine information, the location of the buried treasure is going to be a lot easier to find and they can share in the booty loot that they discover. Castle Rock is the lowest left point of the hypotenuse and at the bottom of the left leg and the treasure is at the furthest right point of the right leg. To factor the equation we start with the following, X2+(2x + 4)2 = (2x+6)2 Using the Pythagorean Theorem, a2+2ab+b2 i get a compound X2 +(4x216x+16)=4x2+24x+36 equation. It is then necessary to simplify using the quadratic 5x2+16x+16=4x2+24x+36 equation ax2-bx+c=0 so that I can factor. (x2+2)(x-10)=0 everything is set to zero for the zero factor X = 10 solve for x Plugging the x value for a, b, and c to the legs or the hypotenuse and what this does is it gives me the equation of how many paces it is to the treasure A= 10 B=2(10)+4 = 20+4 = 24 C=2x+6 = 2(10)+6 = 26 In conclusion, castle rock is located at the bottom left of a right hand triangle, and the treasure is 26 paces northeast of Castle...
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...For those of you who live in the Virginia Beach area, not much of an introduction is needed for local musician Dave Johnson. A figure in the local music scene for over 22 years, Dave, who was born and bred in this Hampton Roads city, continues to call Virginia Beach home. For those of us who enjoy a raw, enthusiastic, fresh sound connecting the intense, fast tempo of rock n’ roll to the creativeness and inventiveness of the Blues. Despite performing at venues such as The Norva, the #1 ranked “Best Music Venue in America” by Rolling Stones magazine (Rolling Stones Magazine), Dave is content to entertain his fans at more intimate locations, such as the one I saw him at on October 30th, Chops Restaurant in Virginia Beach, Virginia. Having seen Dave play on multiple occasions to various crowds, the experience of observing him play at Chops provided insight to the array of individuals in which Dave’s singing can impact. With its exquisite atmosphere and sophisticated crowd of approximately 40 individuals, Dave, dressed in dark, fetching clothing, was set up in the corner of the room with his various instruments surrounding him. Even though he has recently recorded in New York City with a pair of musicians called “The Dios”, if one would shut their eyes, they would never know that Dave was playing alone. This talented artist produces a wide range of sounds, rhythms and harmonies while utilizing four instruments: the acoustic guitar, the tambourine, the harmonica and the powerful, wide-ranged...
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...Claudius Ptolemy is a famous ancient scholar.Ptolemy is famous for his works and specialization in astronomy, geography, cartography, mathematics, and astrology. His works range from the Almagest, a series of thirteen books dedicated to astronomy. The use of mathematics to was used to prove his theories and observations of an Earth-centered universe. His works on astronomy, such as the Geocentric model, are well renowned for their Earth-centered theories. Ptolemy’s theories and works lasted for thousands of years until astronomers such as Galileo, Copernicus, and Kepler came into the picture to test their theories against the longstanding theory of Ptolemy’s geocentric model. Not only was Ptolemy famous for his works on astronomy and the Almagest but the famous Greek was also fond of astrology from a scientific view point. Astrology was an important study back in ancient Greece and Ptolemy’s skills did not leave that off of his knowledge. He published one of the most famous books in astrology named the Tetrabiblos. The addition of the Geographia by Ptolemy himself allowed the Greeks to excel their understanding of their environments geography. Claudius Ptolemy was born in Alexandria, Egypt around 90 AD. Some information differs on the originality of the name Ptolemy. For example, the name Ptolemy was a common name in ancient Greece. “Claudius” came from the first Roman rule of Egypt as a common name. Following the lost of Roman rule, Ptolemy I Soter, a Macedonian general of...
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...Aristotle (384 – 322 BC) Developed a theory that the universe was ‘geocentric’. With the Earth being the centre of the universe, with everything else orbiting it. Aristotle’s basic ideas survived for nearly 2000 years, this stood for so long due to the lack of technological advancements at such an early stage of the world’s existence. Aristarchus (310-230 BC) First astronomer to suggest that the Sun was the centre of the Universe, this known as the geocentric model. However his theory did not gain much support as there was insufficient detail to explain the observations. Thus, Aristotle’s model which allowed accurate predictions stayed in favour. (Heliocentric – Measured or considered in relation to the centre of the sun. Apollonius (265-190 BC) Supported the geocentric model of the universe, he developed the concept of epicycles (diagram below) to account for the retrograde motion (backwards orbit) of the planets viewed from Earth. The planets followed their own circular paths as they moved around the Earth in his model. Hipparchus (190-120 BC) He suggested that the Sun is sometimes further away from the Earth at different times of the year, he acknowledged and put forward that the Earth was on a slight lean (on an axis) to account for this. Also established the system of stellar magnitudes (star brightness system). BCE (0) Ptolemy (100-170 AD) The last of the ancient Greek Philosophers, modified Aristotles model. Based on concentric circles, due to it’s success...
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...Buried Treasure Allen Raikes MAT 221 DR. Steven Flanders Ahmed and Vanessa has a treasure that needs to be located. It’s up to me and to help find it, I will do that by using the Pythagorean quadratic. On page 371 we learned that the Ahmed has a half of the map and Vanessa has the other half. Ahmed half in say the treasure is buried in the desert 2x+6 paces from Castle Rock and Vanessa half says that when she gets to Castle Rock to walk x paces to the north, and then walk 2x+4 paces to the east. So with all the information I have I need to find x. the Pythagorean Theorem states that in every right triangle with legs of length a and b and hypotenuse c, which have of a relationship of a2+b2=c2. In this problem I will let a=x, and b= 2x+4, and c=2x+6. So know it time to put the measurements into the Theorem equation; 1) X2+ (2x+4)2=(2x+6)2 this is the Pythagorean Theorem 2) X2+4x2+16x+16 = 4x2+ 24x+36 are the binomials squared 3) 4x2 & 4x2 on both sides can be subtracted out. 4) X2+16x+16 = 24x +36 subtract 16x from both sides 5) X2+16 = 8x+36 now subtract 36 from both sides 6) X2-20 = 8x 7) X2-8x-20=0 this is the quadratic equation to solve by factoring using the zero factor. 8) (x-)(x+) Since the coefficient of x2 is 1 we have to start with pair of () is the 20 in negative there will be one + and one – in the binomials. 9) -2, 10: -10,2: -5,4; -4, -5 10) Looks I’m going to use -10 and 2 is...
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...Assignment 5 1 Assignment 5 DeJuan Stanley MAT 221 Prof Timothy Kilgore June 2, 2014 MAT 221 Week 5 Assignment Buried treasure. Ahmed has half of a treasure map, which indicates that the treasure is buried in the desert 2x + 6 paces from Castle Rock. Vanessa has the other half of the map. Her half indicates that to find the treasure, one must get to Castle Rock, walk x paces to the north, and then walk 2x + 4 paces to the east. If they share their information then they can find x and save a lot of digging. What is x? The key to solving this equation is to use the Pythagorean Theorem which has a right angle in the equation with a & b equaling side c. Based on the example we know that we will have to use the formula A^2 + B^2 = C^2. What we know is that Ahmed’s half of the map is 2x + 6 = treasure, which would be how far he would need to walk, (A^2). Vanessa’s map needs to show her how to get to the North of Castle Rock, which is 2x + 4, (C^2). We are trying to solve for X (side B). Vanessa is forming a 90 degree angle from point B and walk (2x + 4) until she made it to C. The formula we would use to solve for X is the following: (2x + 6)^2 = x^2 + (2x + 4)^2 4x^2 + 24x + 36 = x^2 +4x^2 + 16x + 16 The next step would be to combine like terms, multiplying, adding, and subtracting. 24x + 36 = x^2 + 16x + 16 -24x -24x 36 = x^2 – 8x + 16 -36 -36 Now we have a quadratic...
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...The Ancient Greeks developed astronomy, which they treated as a branch of mathematics, to a highly sophisticated level. The first geometrical, three-dimensional models to explain the apparent motion of the planets were developed in the 4th century BC by Eudoxus of Cnidus and Callippus of Cyzicus. Their models were based on nested homocentric spheres centered upon the Earth. Their younger contemporary Heraclides Ponticus proposed that the Earth rotates around its axis. A different approach to celestial phenomena was taken by natural philosophers such as Plato and Aristotle. They were less concerned with developing mathematical predictive models than with developing an explanation of the reasons for the motions of the Cosmos. In his Timaeus, Plato described the universe as a spherical body divided into circles carrying the planets and governed according to harmonic intervals by a world soul. Aristotle, drawing on the mathematical model of Eudoxus, proposed that the universe was made of a complex system of concentric spheres, whose circular motions combined to carry the planets around the earth. This basic cosmological model prevailed, in various forms, until the 16th century AD. In the 3rd century BC Aristarchus of Samos was the first to suggest a heliocentric system, although only fragmentary descriptions of his idea survive. Eratosthenes, using the angles of shadows created at widely separated regions, estimated the circumference of the Earth with great accuracy. Greek...
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