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 255
ne the straight line AB. 240 Appendix V. Impossibility of proving Euclids Postulate. As the angle between the circles in the one plane isequal to the angle between the corresponding straight linesin the other, we define the angle between tivo Ideal Lines asthe angle between the corresponding… … Let AM be the perpendicular to BC, and AM^, AM^,AAf,, . . . different positions of the line AM, as it revolvesfrom the perpendicular position through two right angles. The lines begin by cutting BC on the one side of Af,and there is one line separating the lines which intersectBC on the one side,…
Geometry, Non-Euclidean
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