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1. On Polyzomal Curves, otherwise the Curves ![](https://static.cambridge.org/binary/version/id/urn:cambridge.org:id:binary:41966:20160525040456317-0335:S0370164600045818_inline1.gif?pub-status=live)
Published online by Cambridge University Press: 15 September 2014
Extract
If U, V, &c., are rational and integral functions (*) (x, y, z)r, all of the same degree r, in regard to the co-ordinates (x, y, z), then is a polyzome, and the curve
= 0 a polyzomal curve. Each of the curves
(or say the curves U = 0, V = 0, &c.), is on account of its relation of circumscription to the curve
, considered as a girdle thereto (ζωμα), and we have thence the term “zome” and the derived expressions “polyzome,” “zomal,” &c. If the number of the zomes
, then we have a v-zome, and corresponding thereto a v-zomal curve; the curves U = 0, V = 0, &c., are the zomal curves or zomals thereof. Then cases v = 1, v = 2, are not, for their own sake, worthy of consideration; it is in general assumed that v is = 3 at least.
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- Proceedings 1867-68
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- Copyright © Royal Society of Edinburgh 1869