First of all‚ we must ask: is the existence of God an analytic statement‚ or is it synthetic. An analytic statement is one which is impossible to think of as false. For example‚ a triangle having three internal angles which total 180 degrees is an analytic statement because it it impossible to think of a triangle in any other way. This therefore means that the proposition is logically necessary and it would be incoherent to be considered to be false. However‚ a synthetic statement is one in which
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The Golden Ratio By : Kaavya.K In mathematics and the arts‚ two quantities are in the golden ratio if the ratio of the sum of the quantities to the larger quantity is equal to the ratio of the larger quantity to the smaller one. The golden ratio is an irrational mathematical constant‚ approximately 1.6180339887. Other names frequently used for the golden ratio are the golden section and golden mean. Other terms encountered include extreme and mean ratio‚ medial section‚ divine
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Abstract This paper will explain Maslow’s triangle and its application to interpersonal communications. An explanation will be given how the interpersonal communications‚ based off of Maslow’s triangle‚ can be used as an interview and interrogation tool. Examples will be provided of a personal experience that directly relates to the vertical progression through Maslow’s triangle. When Maslow’s hierarchy of needs (Maslow’s triangle) is understood‚ it is easier to understand another
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case the theorem is derived using similar triangles. By using the similar triangles formed between chords‚ or tangents and chords‚ an equation can be formed in order to determine the relationship between certain lengths on the diagram. An example of this for each theorem is: Example 1 Two Chords Intersecting Externally By using similar triangles the connection between chord lengths can be seen. Triangle ACE is similar to Triangle BDE (equal angles) Example
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Module Two Activity Lesson for specific directions** Step 1: Translations and SSS Identify and label three points on the coordinate plane that are a translation of the original triangle. Next‚ use the coordinates of your translation along with the distance formula to show that the two triangles are congruent by the SSS postulate. You must show all work with the distance formula and each corresponding pair of sides to receive full credit. Video: How to find the distance of two points
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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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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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