Lectures on fundamental concepts of algebra and geometry (1911)
Young, John Wesley, 1879-1932, Denton, William Wells, Mitchell, Ulysses Grant · New York : Macmillan · leaf 33
he line I, they would have acircle I, meeting the boundaryof the world at right angles(Fig. 4). Through a point P,not on I, they would constructanother shortest line intersect-ing I at a point Q, then let Qtravel off in either directionalong I. For each position ofQ there would be a definitecircle… … Fio. 4 LECTURE II 21 sects it. But since their world would seem infinite tothem, and no material object could ever reach its boundary,it would seem to them that the point Q could never reach72. They would consider PR a limiting position of PQ.By allowing Q to travel in the opposite direction,…
Algebra · Geometry
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