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4 by a view looking along line CO of Fig. 3. Each vertical line of lattice points in Fig. 3 is perpendicular to the projection plane, and one line would intersect it at C of Fig. 4. The plane of Fig. 3 is the horizontal line Cuvwx of Fig. 4. The locations of poles u, v, w, . . is still valid when the a axis of the lattice is perpendicular to the plane of axes b and c of Fig. 3, that is, perpendicular to the plane of Fig. 3. This holds for monoclinic crystals, illustrated in Fig. 4i. In general, however, a is not perpendicular to this plane; this more general relation is indicated in Fig.

35(1901) 1-24. 10. S. L. Penfield. On the solution of problems in crystallography by means of graphical methods, based upon spherical and plane trigonometry. Am. J. Sei. 14 (1902) 249-284. U . E . von Fedorow. Ueber die Anwendung des Dreispitzzirkels für krystallographische Zwecke. Z. Kristallogr. 37 (1903) 138-142, especially 142. 12. A. H u t chin son. On a protractor for use in constructing stereographic and gnomonic projection of the sphere. Mineralog. Mag. 15 (1908) 93-112, especially "Historical appendix," 105-111.

24- Ruler for drawing circular curves of large radius. [From Wulff5, pp. ] 37 The stereographic projection w (/) Fig. 25. Device for drawing circular curves of large radius, (i) Diagram of the geometry, (w) A simple device for applying (i). of a pole p from the north pole of the projection as a function of the angle p between the pole and the north pole. This is simply a graphical solution of (7) but enlarged by a factor equal to the radius of the fundamental circle in whatever linear units are used.

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