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 258
al Line might alwaysbe determined by two different points. It is also needed forthe idea of between-ness. On the straight line AB we. cansay that C lies between line A and B if, as we proceed along Ideal Lengths. 243 AB from A to B^ we pass through C. On the Ideal Line AB(cf. Fig. 85) the points G… … Fig 85. On this understanding, and still speaking of plane geo-metry, we can say that two Ideal Lines are parallel when theydo not meet, however far they are produced. To obtain an expression for the Ideal Length of anIdeal Segment we may take the radius of inversion—k—tobe unity. Consider the…
Geometry, Non-Euclidean
Internet Archive · California Digital Library · Public Domain Mark 1.0. Free to use for anything.
