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A new stereographic protractor1

Published online by Cambridge University Press:  14 March 2018

G. F. Herbert Smith
G. F. Herbert Smith*
Affiliation:
Mineral Department of the British Museum
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Extract

In the stereographic projection (fig. 1) ABA'B" is the primitive circle, having the same radius a as the corresponding sphere ; ATA'T" is the circle representing a great circle on the sphere inclined at an angle θ to the plane of the projection ; O and C are the centres of the primitive circle and the circle ATA'T' respectively. CO are joined and projected both ways to meet the circles as shown.

Type
Research Article
Information
Mineralogical magazine and journal of the Mineralogical Society , Volume 17 , Issue 78 , December 1913 , pp. 46 - 50
Copyright
Copyright © The Mineralogical Society of Great Britain and Ireland 1913

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Footnotes

1

Communicated by permission of the Trustees of the British Museum.

References

page 46 note 2 Cf. Hutchinson, A., 'On a protractor for use in constructing stereographic and gnomonic projections of the sphere.' Min. Mag., 1908, vol. xv, pp. 93–112 CrossRefGoogle Scholar.

page 46 note 3 Penfield, S. L., Amer. Journ. Sci., 1902, ser. 4, vol. xiv, p. 251 Google Scholar.

page 47 note 1 A. Hutchinson, loc. cit., p. 94.

page 47 note 2 Fedorov, E. S., Zeita. Kryst. Min., 1893, vol. xxi, p. 622 Google Scholar.

page 47 note 3 Fedorov, E. S., Zeits. Kryst. Min., 1893, vol. xxi, p. 618 Google Scholar. G. Wulff, ibid., p. 258. Vide also Penfield, S. L., Amer. Journ. Sci., 1901, ser. 4, vol. xi, p. 138 Google Scholar.

page 47 note 4 Fedorov, E. S., Zeits. Kryst. Min., 1902, vol. xxxvii, p. 142 Google Scholar.

page 48 note 1 Bernoulli, J., ‘Sur la force et la courbure des lames élastiques.’ Mém. Acad. Berlin, 1766 Google Scholar.