involves a point (the focus) and a line (the directrix). The focus does not lie on the directrix. The locus of points in that plane that are equidistant from both the directrix and the focus is the parabola. Another description of a parabola is as a conic section‚ created from the intersection of a right circular conical surface and a planewhich is parallel to another plane which is tangential to the conical surface.[a] A third description is algebraic. A parabola is a graph of a quadratic function‚ such
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Hypatia of Alexandria Hypatia was born in 370 A.D. in Alexandria‚ Egypt. From that day on her life was one enriched with a passion for knowledge. Theon‚ Hypatia’s father whom himself was a mathematician‚ raised Hypatia in an environment of thought. Both of them formed a strong bond as he taught her his own knowledge and shared his passion in the search of answers to the unknown. Under her fathers discipline he developed a physical routine for her to ensure a healthy body as well as a highly
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exhibits that allow the visitors to learn the basics of science through a process of interactivity and discovery. The exhibits here are Acrobatic stick‚ All roads lead to Rome‚ Analogy of solubility‚ Binary to decimal‚ Boy & girl‚ Cone runs up hill‚ Conic sliced cone‚ Dancing girl‚ Day & night‚ Decimal to binary‚ Elemental composition‚ Elements and ore‚ Floating ball‚ Forced diversion‚ Fun mirror‚ Galton board‚ Grand shuttle‚ Hand and brain coordination‚ Infinite image‚ Jumping disc‚ Logic gate‚ Loop
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Conics: Parabolas: Introduction (page 1 of 4) Sections: Introduction‚ Finding information from the equation‚ Finding the equation from information‚ Word problems & Calculators In algebra‚ dealing with parabolas usually means graphing quadratics or finding the max/min points (that is‚ the vertices) of parabolas for quadratic word problems. In the context of conics‚ however‚ there are some additional considerations. To form a parabola according to ancient Greek definitions‚ you would start
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The parabola has an electromagnetic signal reflection property. Four signals are shown in green and blue. These signals are shown with arrows on both ends to indicate the focus either collects the signals (coming in) or the focus generates the signals and they leave in parallel from the parabola. The inside of the parabola can be a mirror (for light) or another material (for non visible electromagnetic waves.) As light enters parallel to axis of symmetry it will strike the parabola and
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Chapter 11 CONIC SECTION CIRCLE: The equation of a circle with centre at (h‚ k) and radius r is ( ( ) Equation of a circle with centre at origin and radius r is PARABOLA( Symmetric about its axis) Right Equation Axis Figure y=0 Left y= 0 Upward x= 0 ) Downward x= 0 Focus (a‚ 0) (-a‚ 0) Vertex (0‚0) (0‚0) Latus 4a 4a Rectum Directrix x = -a x=a ELLIPSE ( Symmetric about both the axis) Equation Equation of the major axis Length of major axis Length of minor axis Vertices Foci Eccentricity Latus
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not be a person who sees himself larger than who he really is. Iva Rhiana C. Santiago LG 4218 APOLLONIUS OF PERGA As what I have researched‚ Apollonius of Perga was a Greek geometer and astronomer noted for his writings in the conic section. It was him who gave the ellipse‚ the parabola‚ and the hyperbola the names by which we know them. And these things are our lessons this term. The work of Apollonius of Perga has had such a great impact
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You may not recognize them at first but they are all around us. Conics can be found in architecture all around the world. I never thought it would be so easy to find conics in the real world. In my house there is one every two feet. Now I’ll be seeing conics everywhere‚ thanks. in the real Defintions Circle: a round plane figure that the circumference consists of points iuuuuequal distance from the center
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Name: Ernest Ng Class: 4G (23) Date: 2-7-06 Mathematics ACE: Ellipse Areas Before we embark on solving the problem‚ let us first explore the definition of ellipse. [pic] An ellipse is a curve that is the locus of all points in the plane the sum of whose distances [pic] and [pic] from two fixed points [pic] and [pic] (the foci) separated by a distance of [pic] is a given positive constant [pic] [pic] While [pic] is called the major axis‚ [pic] is the semi major axis‚ which is exactly
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Portfolio in Calculus Submitted by: Chloe Regina C. Paderanga Submitted to: Sir Ferdinand Corpuz Journal for the Month of June WHAT I LEARNED? I learned many things this month. It was good that our teacher repeated the topics in basic math to strengthen our foundation. Even if we had a hard time‚ I don’t see any reason why we should complain because I understand that our wanted to master these topics to be able to move to a higher math. The topics tackled this month are namely:
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