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The Construction of Crystallographic Projections

Published online by Cambridge University Press:  14 March 2018

Harold Hilton
Harold Hilton*
Affiliation:
Magdalen College, Oxford
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Extract

§ 1. It is proposed in this paper to describe some simple graphical constructions of theoretical or practical interest. They may be easily performed with ruler and compasses, though the stereographic and gnomonic nets will often save labour. To economize space the proofs of the constructions are left to the reader.

§ 2. First take the case of the gnomonie projection. Given the projections A, B, C, Q (fig. 1) of the poles of the faces (100), (010), (001) (111); find the projection of the pole of any other face (hkl).

Type
Research Article
Information
Mineralogical magazine and journal of the Mineralogical Society , Volume 14 , Issue 64 , May 1905 , pp. 99 - 103
Copyright
Copyright © The Mineralogical Society of Great Britain and Ireland 1905

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References

Page 99 note 1 See Zeits. Kryst. Min., 1902, vol. xxxvi, p. 14 ; Min. Mag., 1904, vol. xiv, p. 18.

Page 99 note 2 See p. 104.

Page 102 note 1 This construction solves the problem : ‘Draw a circle through two given points bisecting the circumference of a given circle.’

Page 102 note 2 See Phil Mag., 1905, ser. 6, vol. ix, p. 87.