Chapter 6: Hyperbolic Analytic Geometry
... 4. eu = cosh w is an equation of the horocycle with radius OX. Thus, a line does not have a linear equation in Lobachevsky coordinates, and a linear equation does not necessarily describe a line. Every point has a unique ordered pair of axial coordinates. However, not every ordered pair of real numb ...
... 4. eu = cosh w is an equation of the horocycle with radius OX. Thus, a line does not have a linear equation in Lobachevsky coordinates, and a linear equation does not necessarily describe a line. Every point has a unique ordered pair of axial coordinates. However, not every ordered pair of real numb ...
8th Grade – 100 Word List
... Concave polygon – A polygon in which at least one interior angle has a measure that is greater than 180. Congruent polygon – Two polygons in which the corresponding sides have equal lengths and the corresponding angles have equal measures. Convex polygon – A polygon in which all interior angles ha ...
... Concave polygon – A polygon in which at least one interior angle has a measure that is greater than 180. Congruent polygon – Two polygons in which the corresponding sides have equal lengths and the corresponding angles have equal measures. Convex polygon – A polygon in which all interior angles ha ...
Geometry I in 2012/13
... The first postulate is B1. Given any line `, there is a bijection f : ` → R that measures distances. The existence of a such a map f allows us to label each point of a line unambiguously with a real number. We can choose to put 0 where we want, but distances along the line must coincide with distanc ...
... The first postulate is B1. Given any line `, there is a bijection f : ` → R that measures distances. The existence of a such a map f allows us to label each point of a line unambiguously with a real number. We can choose to put 0 where we want, but distances along the line must coincide with distanc ...
