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On a protractor for use in constructing stereographic and gnomonie projections of the sphere. (With Plates III, IV, IV a and V.)

Published online by Cambridge University Press:  14 March 2018

A. Hutchinson
A. Hutchinson*
Affiliation:
University of Cambridge
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Extract

The protractor of which an account is given in the following pages is intended to facilitate the construction of stereographic and gnomonie projections of the sphere, especially on the part of students of crystallography. The fundamental properties of these projections, on which its design depends, have long been known, and have been the basis in the past of methods somewhat similar to those about to be described. Any novelty there may be in the device is to be sought therefore in the convenient arrangement of its parts, and in the ease with which it may be constructed and used, rather than in the principles which it embodies. We will consider first the construction of the protractor, then its application in tile case of the stereographic and gnomonic projections, and in conclusion will deal with a few points of interest in the history of these projections.

Type
Research Article
Information
Mineralogical magazine and journal of the Mineralogical Society , Volume 15 , Issue 69 , November 1908 , pp. 93 - 112
Copyright
Copyright © The Mineralogical Society of Great Britain and Ireland 1908

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References

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Page 101 note 1 The point N' is the ‘Winkelpunkt’ of V. Goldschmidt, and may be termed the ‘angle-point’ of N.

Page 103 note 1 This construction may also be utilized to find the angle between two given points. For let H and D be the two points. Find F the pole of the zone HD and join DF. Then find E and proceed as above. Another construction, due to E. S. Fedorov, is given on page 105.

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