Hyperbolic geometry for dummies
Hyperbolas come from inversions ( x y = 1 or y = 1 x ). The area under an inversion grows logarithmically, and the corresponding coordinates grow exponentially. If we rotate the
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Hyperbolas come from inversions ( x y = 1 or y = 1 x ). The area under an inversion grows logarithmically, and the corresponding coordinates grow exponentially. If we rotate the
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Point-slope form: y – y1 = m ( x – x1 ), where m is the slope and ( x1, y1) is a point on the line. Horizontal line: y = b, where b is the y -intercept. Vertical line: x = a, where a is the x -intercept.
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If x = \cosh t x = cosht and y = \sinh t y = sinht are the parametric coordinates of a curve, the locus of all such points gives rise to the equation
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Basics of Hyperbolic Geometry Rich Schwartz October 8, 2007 The purpose of this handout is to explain some of the basics of hyperbolic geometry. I’ll talk entirely about the hyperbolic plane.
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