Non-Euclidean geometry; a critical and historical study of its development (1912)
Bonola, Roberto, 1874-1911, Carslaw, H. S. (Horatio Scott), 1870-1954 · LaSalle, Ill. : Open Court Publishing Co. · leaf 269
cle C3,cutting C at right-angles. Hence its centre lies outside C.We thus obtain a triangle, in which the sum of the anglesis less than two right-angles, and since these angles are equalto the angles of the Ideal Triangle, this result holds also forthe Ideal Triangle. 2^4 Appendix V. Impossibility… … Fig. 93- non-intersecting Ideal Lines have a common perpendicular.All these results must be true in the Hyperbolic Geometry. § IO. Ideal Lengths and Ideal Displacements. Before we can proceed to the discussion of the metricalproperties of this geometry, we must define the Ideal Lengthof an Ideal…
Geometry, Non-Euclidean
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