Harper's New Monthly Magazine Volume 109 June to November 1904 . y attending to the possibilities whichsuch a new direction gives we can gainthe means of putting the question ration-ally as to whether it exists or not. I will now briefly describe three cases inwhich an attempt has been made to findevidence for the reality of a fourth di-mension. Cases 1 and 2 are such aswould obviously suggest themselves to anyinquirer. Case 3 I shall also merely touch upon,as its generala rgumenthas been pub-lished (seeBulletin ofthe Philo-sophical So-ciety of Wash-ington, April, 1902), whileTriangles which,
Harper's New Monthly Magazine Volume 109 June to November 1904 . y attending to the possibilities whichsuch a new direction gives we can gainthe means of putting the question ration-ally as to whether it exists or not. I will now briefly describe three cases inwhich an attempt has been made to findevidence for the reality of a fourth di-mension. Cases 1 and 2 are such aswould obviously suggest themselves to anyinquirer. Case 3 I shall also merely touch upon,as its generala rgumenthas been pub-lished (seeBulletin ofthe Philo-sophical So-ciety of Wash-ington, April, 1902), whileTriangles which, if kept +1 +] , AGAINST THE SHEET, CANNOT ^ niatHemat- be moved so that one ical method WILL OCCUPY THE SPACE OF used wag eX-THE OTHER t_p i • emplined m apaper printedin the Proceedings of the Eoyal IrishAcademy, November, 1902. Case 1 depends on the properties ofconfiguration. In a plane three pointscan be found equally distant from oneanother, such as the vertices of an equi-lateral triangle. In our space four suchpoints can be found, such as the vertices.
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