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Sample text

E. ) before being inserted in the Napier diagram to give the corresponding "part" of the triangle. Further examples of the use of spherical trigonometry in calculating unit cell parameters will be found in the next chapter. Problems 1. Draw on tracing paper a circle of the same size as the Wulff net in Fig. 9. Superimpose it on the net and draw a sterographic projection of the earth showing the positions of London (51 °N 0°W), Mexico City 19°N 99°W), Delhi (29°N 77°E) and Sydney (34°S 15ΓΕ), plotting the last within the primitive by projection to the N-pole.

5. (a) Construction to find the radii of the stereographic projection of circles of latitude at 60° N, 30° N and 30° S. (b) The corresponding stereographic projection, including the meridians at 30° intervals. Use of the Stereographic Projection (a) 41 (b) FIG. 6. (a) Vertical section of the sphere through P. (b) Stereographic projection of a small circle of radius Θ around P. point F opposite to it (its "antipodes"), the problem is solved by finding p', the projection of P'. 7(a) shows a vertical section of the sphere through P, which therefore also contains F.

Remember that you can rotate the tracing paper over the net to make the measurements that you want. 2. The ill-formed crystal shown in the diagrams has the following interfacial angles: between adjacent faces in each of the zones a c e g a , a j e m a , and c j g m c every angle is 90°; between adjacent faces in each of the zones s j t u m v s , w j x y m z w , z a s x e u z , w a v y e t w , the angles are 55°, 55°, 70°, 55°, 55°, 70°, respectively. Plot a stereogram of the crystal on tracing paper with the help of the Wulff net in Fig.

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