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- W2313396945 abstract "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 √ U + √ V + &c. is a polyzome, and the curve √ U + √ V + &c. = 0 a polyzomal curve. Each of the curves √ U = 0, √ V = 0, &c. (or say the curves U = 0, V = 0, &c.) is, on account of its relation of circumscription to the curve √ U + √ V + &c. = 0, considered as a girdle thereto (ζῶμα) and we have thence the term “zome” and the derived expressions “polyzome,” “zomal,” &c. If the number of the zomes √ U , √ V , &c. be = ν , then we have a ν -zome, and corresponding thereto a ν -zomal curve; the curves U = 0, V = 0, &c., are the zomal curves or zomals thereof." @default.
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- W2313396945 date "1868-01-01" @default.
- W2313396945 modified "2023-09-24" @default.
- W2313396945 title "I.—On Polyzomal Curves, otherwise the Curves √U + √V + &c. = 0" @default.
- W2313396945 doi "https://doi.org/10.1017/s0080456800028118" @default.
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