Space and geometry in the light of physiological, psychological and physical inquiry (1906)
Mach, Ernst, 1838-1916, McCormack, Thomas Joseph, 1865-1932 · Chicago The Open court publishing company; [etc., etc.] · leaf 66
and to stand in need of modification whenthe facts are to be represented with great exactness,the law of the lever and the theorem regarding theangle-sum of a triangle have remained in as exactaccord with the facts as the inevitable errors of ex-perimenting would lead us to expect; and the… … Fig. 8. the same straight line must also have led to a veryimportant piece of geometrical knowledge. (Fig.8.) If a triangle be displaced in a plane along astraight line (without rotation), all its points, in- 60 SPACE AND GEOMETRY. eluding those of its bounding lines, will describeequal paths. The…
Geometry -- Foundations · Space perception
Internet Archive · Gerstein Library, University of Toronto · Public Domain Mark 1.0. Free to use for anything.
