Zobrazeno 1 - 9 of 9 pro vyhledávání: '"W. G. Welchman"'
1
Incidence scrolls
Autor: W. G. Welchman
Publikováno v: Mathematical Proceedings of the Cambridge Philosophical Society. 29:235-244
1. The work of this paper was undertaken with a view to finding out what ruled surfaces can be determined by incidences, i.e. generated by the lines which meet a certain set of spaces which I shall call a base. Such ruled surfaces I shall call incide
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::6ed117e5c1b28b63ea4f26be9f975a98
https://doi.org/10.1017/s0305004100011038
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3
Bisecant curves of ruled surfaces
Autor: W. G. Welchman
Publikováno v: Mathematical Proceedings of the Cambridge Philosophical Society. 29:382-388
The bisecant curves of a ruled surface, that is to say the curves on the surface which meet each generator in two points, are fundamental in the consideration of the normal space of the ruled surface. It is well known that if is a bisecant curve of o
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::38b05cbc06313b748171dc6c8f0d2313
https://doi.org/10.1017/s030500410001642x
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4
Planar threefolds in space of four dimensions
Autor: W. G. Welchman
Publikováno v: Mathematical Proceedings of the Cambridge Philosophical Society. 29:103-115
1. It is known that, in [3], a ruled surface of order n and genus p has in general a double curve of order ½ (n − 1) (n − 2) − p and genus ½ (n − 5) (n + 2p − 2) + 1, 2(n + 2p − 2) torsal generators, 2(n − 2)(n − 3) − 2(n − 6)p
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::175ab64c6eeafda4f5dcef903e2d6db3
https://doi.org/10.1017/s0305004100011361
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5
Some enumerative results for curves
Autor: W. G. Welchman
Publikováno v: Mathematical Proceedings of the Cambridge Philosophical Society. 28:18-22
1. The problem of finding the number of space cubic curves which pass through p given points and have 6 – p given lines as chords has been solved by several different methods. The similar problem, in space of four dimensions, of the number of ratio
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::464a89d2eba2673a8e094cbf63d0ec70
https://doi.org/10.1017/s0305004100010446
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7
Plane congruences of the second order in space of four dimensions and fifth incidence theorems
Autor: W. G. Welchman
Publikováno v: Mathematical Proceedings of the Cambridge Philosophical Society. 28:275-284
It is well known that the planes which meet four given lines in a space of four dimensions meet a fifth line, determined by the first four. Also the trisecant planes of a rational quartic curve in [4] which meet a line meet another rational quartic c
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::958f5c5a6e63c8ed99e6251b7b4a7317
https://doi.org/10.1017/s0305004100010136
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8
Note on the trisecants and quadrisecants of a space curve
Autor: W. G. Welchman
Publikováno v: Mathematical Proceedings of the Cambridge Philosophical Society. 28:206-208
1. Formulae obtained by enumerative methods are always liable to break down owing to the appearance of an infinity of degenerate solutions, and when this happens it is usually necessary to make a fresh start. Enumerative arguments have been used to p
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::da54fea87d7c18a786bac6d7c19ef0e4
https://doi.org/10.1017/s0305004100010872
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