English-Finnish translations for imaginary geometry

Definition of imaginary geometry

• Absolute geometry, an axiomatised geometry in which the parallel postulate is absent and not replaced by an alternative, and of which Euclidean geometry and some non-Euclidean geometry|non-Euclidean geometries are subtypes
• 2012, Norbert A'Campo, Athanase Papadopoulos, ''Notes on non-Euclidean geometry'', Athanase Papadopoulos , ''Strasbourg Master Class on Geometry'', [https://books.google.com.au/books?id=f6yZeVMqhNEC&pg=PA4&dq=%22imaginary+geometry%22%7C%22imaginary+geometries%22&hl=en&sa=X&ved=0ahUKEwjU3a6ExcbdAhXng1QKHX0QDMUQ6AEIswEwGw#v=onepage&q=%22imaginary%20geometry%22%7C%22imaginary%20geometries%22&f=false page 4]
• Lobachevsky, Pangeometry, English translation, notes and commentary by A. Papadopoulos, Heritage of European Mathematics, Vol. 4, European Mathematics Publishing House, 322 pages, 2010

Examples

• Lobachevsky used the words imaginary geometry for neutral geometry, and pangeometry for hyperbolic geometry, see the comments on the use of these words and others in [59], p. 230-233

Related words

• imaginary
• imaginary number
• imaginary unit
• imaginary world
• imaginary friend
• imaginary part
• imaginary axis
• pure imaginary number
• social imaginary