In their non-Euclidean geometry the part is always greater than the whole.
"The Open Secret of Ireland" by T. M. Kettle
Non-Euclidean geometry, II, 83.
"A Budget of Paradoxes, Volume II (of II)" by Augustus de Morgan
The history of non-Euclidean geometry has been aptly divided by Felix Klein into three very distinct periods.
"Encyclopaedia Britannica, 11th Edition, Volume 11, Slice 6" by Various
Some years before, during the second half of the XIX century, mathematicians saw the birth of non-Euclidean Geometries.
Higher-Order Theories of Gravitation
We then extend the classical ring model to this case and show that its natural framework is the non-Euclidean hyperbolic geometry.
Hyperbolic planforms in relation to visual edges and textures perception
Rylov, Non-Euclidean method of the generalized geometry construction and its application to space-time geometry in Pure and Applied Differential geometry pp.238-246. eds.
General relativity extended to non-Riemannian space-time geometry
Given that we have found that a ﬁnite temperature characterizes the quantum geometry with non-zero mass, it would be desirable to continue to the Euclidean theory to implement the ﬁnite temperature partition function as a path integral in Euclidean quantum gravity.
Newtonian gravity in loop quantum gravity
However, in the non-Euclidean geometry one succeeds to agree properties of different fundamental quantities not always.
Monistic conception of geometry