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1918•Bulletin of the American Mathematical SocietyOpen access

Some algebraic curves

James H. Weaver

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Abstract

SOME ALGEBRAIC CURVES, 85Multiplying (15) by m, we haveSince aw 4= 0, C = 0. Likewise multiplying by n we see that B = 0. Hence equation ( 14) becomes duav Hence, the minimum surface is a surface of translation.The necessary and sufficient condition that a surface in hyperspace be a minimum surface is that the minimum lines on it are characteristics.

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SOME ALGEBRAIC CURVES, 85Multiplying (15) by m, we haveSince aw 4= 0, C = 0. Likewise multiplying by n we see that B = 0. Hence equation ( 14) becomes duav Hence, the minimum surface is a surface of translation.The necessary and sufficient condition that a surface in hyperspace be a minimum surface is that the minimum lines on it are characteristics.

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SOME ALGEBRAIC CURVES, 85Multiplying (15) by m, we haveSince aw 4= 0, C = 0. Likewise multiplying by n we see that B = 0. Hence equation ( 14) becomes duav Hence, the minimum surface is a surface of translation.The necessary and sufficient condition that a surface in hyperspace be a minimum surface is that the minimum lines on it are characteristics.

Key concepts: Mathematics, Algebraic number, Pure mathematics, Mathematical analysis

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