Question

QUESTIONS Do you think that notion of a square unit" can be used to measure area in hyperbolic geometry? Explain why or why not :..-74T TT T쫑 Paragraph v Arial 3(12pt) v Masups

Answer 1

"Given data Geometry: Do you think that notation of a ""square unit"" can be used to measure are in ""hyperbolic geometry"". Hyperbolic Area: In Euclidean geometry, the notation of area is based on the area of a rectangle the area of parallelograms and triangles follows Easily from this definition. the area of other regions is determined by a limiting process by an approximation by Rectangles. In hyperbolic geometry we do not have figures analogous to rectangles. Hence \r\n region of a square unit cannot be used to measure area in Hyperbolic geometry. A hyperbolic Quadrilateral has angle sum less than 2 pi. So, cannot have four right angles. Instead we use triangles as basis figures the gauss - bannet formula If the hyperbolic triangle ABC has triangles alpha, beta, gamma then its area is pi - (alpha + beta + gamma) for the moment, we shall regions regard this as the definition of the hyperbolic area \r\n Note: if we divide delta "