Excerpt from Lectures on the Theory of Plane Curves, Vol. 2: Delivered to Post-Graduate Students in the University of Calcutta The subject of quartic curves is too extensive to be adequately considered in a small work like this. I have therefore confined the discussion chie y to the most prominent characteristics of these curves. One chapter has been devoted to the consideration of bicircular quartics with special reference to their mode of generation. In fact, this chapter, together with a note in Appendix I, is mainly ...
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Excerpt from Lectures on the Theory of Plane Curves, Vol. 2: Delivered to Post-Graduate Students in the University of Calcutta The subject of quartic curves is too extensive to be adequately considered in a small work like this. I have therefore confined the discussion chie y to the most prominent characteristics of these curves. One chapter has been devoted to the consideration of bicircular quartics with special reference to their mode of generation. In fact, this chapter, together with a note in Appendix I, is mainly based on the well-known Memoir on bicircular quartics by Dr. Casey, published in the Transactions of the Royal Irish Academy 1869. Circular cubics have been studied with much advantage, regarded as degenerate bicircular quartics. In the last chapter are considered some well known quartic curves, most of which are bicir cular or are cartesians. A similar consideration, as in the case of cubic curves, has led me to restrict my discourse only to the general properties of these curves. I have intentionally avoided the discussion of Roulettes, Cycloids, etc. Reserving the topics for a future occasion. The reader who desires to study the subject from a higher stand point cau conveniently consult the following works Clebsch - Lecons sur la G???om???trie Chasles - Histoire de la G???om???trie. In Appendix II, a note on Trinodal Quartics has been inserted. This was communicated to me by Rai A. C. Bose, Bahadur, m.a Controller of Examinations, University of Calcutta. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at ... This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
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