Conjecture-unproven statement that is based on observations Counterexample-an example showing a conjecture is false collinear points-points that lie on the same line coplanar points-points that lie on the same plane point-has no dimension line-extends in 1 direction plane-extends in 2 dimensions postulate/axioms-rules accepted w/o proof . POSTULATE 2 – SEGMENT ADDITION POSTULATE. IF B IS BETWEEN A AND C THEN AB+BC=AC. IF AB+BC=AC THEN B IS BETWEEN A AND C DISTANCE FORMULA (X2-X1)2+(Y2-Y1)2
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becoming the technology center for Southeast Asia‚ sending labor-intensive operations to low-cost neighboring countries like Malaysia and Indonesia in special mutual cooperative trade and development arrangements known as growth triangles or growth polygons. The Southern Growth Triangle‚ also known as SIJORI (Singapore‚ the Johore state of Malaysia‚ and Riau Province of Indonesia)‚ was formed in 1989 and covers a population of about 6 million people. It attracted $10 billion in private sector investments
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Some people even sought to report them to the Germans. According to The United States Holocaust Memorial Museum‚ “Political Prisoners(Communists‚Socialists‚ and trade unionists) wore red triangles‚ Common criminals wore green triangles‚ Roma(Gypsies) wore black triangles‚ Jehovah Witnesses wore purple triangles‚ and Homosexuals wore pink ones”(Prisoners of the Camps 1). Some children finished or dropped school to find jobs such as a women’s tailor. They were forced out of school if they had not already
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Adrian Zwierzchowski 2 IB Investigation – Von Koch’s snowflake curve In this investigation I am going to consider a limit curve named after the Swedish mathematician Niels Fabian Helge von Koch. I will try to investigate the perimeter and area of Von Koch’s curve. [pic] The Koch’s curve has an infinite length because each time the steps above are performed on each line segment of the figure there are four times as many line segments‚ the length of each being one-third the length of the
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Egyptians had used some elementary geometry to build the pyramids and remeasure lands flooded by the Nile‚ but neither they nor the ancient Babylonians had developed the concept of angle measure). The word trigonometry‚ based on the Greek words for “triangle measure”‚ was first used as the title for a text by the German mathematician Pitiscus in A.D. 1600. While the early study of trigonometry can be traced to antiquity‚ the trigonometric functions as they are in use today were developed in the medieval
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Euclid and His Contributions to Mathematics Euclid was an ancient Greek mathematician from Alexandria who is best known for his major work‚ Elements. Although little is known about Euclid the man‚ he taught in a school that he founded in Alexandria‚ Egypt‚ around 300 b.c.e. For his major study‚ Elements‚ Euclid collected the work of many mathematicians who preceded him. Among these were Hippocrates of Chios‚ Theudius‚ Theaetetus‚ and Eudoxus. Euclid ’s vital contribution was to gather
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To form a perfect triangle‚ those sides must fit together well. The angles within‚ and the points of‚ the triangle can‚ and will‚ vary. Geometry? Math? Are your gasps coming across the internet? No‚ don’t worry. You’re in the right place. You’re still studying American government and related issues of policy making. In this context‚ we are studying the three sides of the so-called “Iron Triangle”. The term refers to a powerful three-sided combination‚ made
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Information Systems Strategy Triangle – For Zara: IT for Fast Fashion Step 1: Create lists of case details that fit each side of the triangle. Step 2: Then look at each item and think about how that item affects the other sides of the triangle. Step 3: Take a look at the industry. Make a list of triangle attributes you find. Compare the industry items with the case company items. Step 1: Create lists of case details that fit each side of the triangle. Step 2: Then look at each item and think
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was Pascal spelt backwards I decided to look for a connection with Pascal’s triangle. Pascal’s triangle is used to show the numbers of ‘n’ choose ‘r’(nCr). The row number represents the value of ‘and the column number represents the ‘r’ value. Eg. Row 3‚ colomn 2 = 3C2 = 2. I noticed that all the numerators of the fractions in Lascap’s fraction (3‚6‚10‚15) are also found in Pascal’s triangle. So I tried to see if I would get the denominator of the fractions by using
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The following will pay close attention to Book 1 Part 3 Section 1 (Of knowledge) of Hume’s Treatise of Human Nature‚ paying close attention to Hume’s discussion of mathematic and geometric certainty. Furthermore‚ the following will ask four substantive questions: What does Hume say about knowledge? How does he say it? Why is the section important to the Treatise? And‚ lastly‚ is Hume’s theory on knowledge persuasive‚ or do his arguments crumble under greater scrutiny? In the section at hand‚ Hume
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