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cubical parabola

Parabola Pa*rab"o*la, n.; pl. Parabolas. [NL., fr. Gr. ?; -- so called because its axis is parallel to the side of the cone. See Parable, and cf. Parabole.] (Geom.) (a) A kind of curve; one of the conic sections formed by the intersection of the surface of a cone with a plane parallel to one of its sides. It is a curve, any point of which is equally distant from a fixed point, called the focus, and a fixed straight line, called the directrix. See Focus. (b) One of a group of curves defined by the equation y = ax^n where n is a positive whole number or a positive fraction. For the cubical parabola n = 3; for the semicubical parabola n = 3/2. See under Cubical, and Semicubical. The parabolas have infinite branches, but no rectilineal asymptotes.

Parabola Pa*rab"o*la, n.; pl. Parabolas. [NL., fr. Gr. ?; -- so called because its axis is parallel to the side of the cone. See Parable, and cf. Parabole.] (Geom.) (a) A kind of curve; one of the conic sections formed by the intersection of the surface of a cone with a plane parallel to one of its sides. It is a curve, any point of which is equally distant from a fixed point, called the focus, and a fixed straight line, called the directrix. See Focus. (b) One of a group of curves defined by the equation y = ax^n where n is a positive whole number or a positive fraction. For the cubical parabola n = 3; for the semicubical parabola n = 3/2. See under Cubical, and Semicubical. The parabolas have infinite branches, but no rectilineal asymptotes.

Cubical parabola

Cubic Cu"bic (k?"b?k), Cubical Cu"bic*al (-b?-kal), a. [L. cubicus, Gr. ?????: cf. F. cubique. See Cube.] 1. Having the form or properties of a cube; contained, or capable of being contained, in a cube. 2. (Crystallog.) Isometric or monometric; as, cubic cleavage. See Crystallization. Cubic equation, an equation in which the highest power of the unknown quantity is a cube. Cubic foot, a volume equivalent to a cubical solid which measures a foot in each of its dimensions. Cubic number, a number produced by multiplying a number into itself, and that product again by the same number. See Cube. Cubical parabola (Geom.), two curves of the third degree, one plane, and one on space of three dimensions.

Cubic Cu"bic (k?"b?k), Cubical Cu"bic*al (-b?-kal), a. [L. cubicus, Gr. ?????: cf. F. cubique. See Cube.] 1. Having the form or properties of a cube; contained, or capable of being contained, in a cube. 2. (Crystallog.) Isometric or monometric; as, cubic cleavage. See Crystallization. Cubic equation, an equation in which the highest power of the unknown quantity is a cube. Cubic foot, a volume equivalent to a cubical solid which measures a foot in each of its dimensions. Cubic number, a number produced by multiplying a number into itself, and that product again by the same number. See Cube. Cubical parabola (Geom.), two curves of the third degree, one plane, and one on space of three dimensions.

- The Length of Neile's Semicubical Parabola O'Connor, John J.; Robertson, Edmund F., "Neile's Semi-cubical Parabola", MacTutor History of Mathematics Archive...

- construct algebraic curves including the conic sections, the conchoid, the cubical parabola, the witch of Agnesi, the cissoid of Diocles, and the C****ini ovals...

- ball model) 1867 vortex theory of the atom (knot model) 1902 Lewis model (cubical atom model) 1904 Nagaoka model (Saturnian model) 1904 plum pudding model...

- cubic equation x3 + m2x = n where n > 0, Omar Khayyám constructed the parabola y = x2/m, the circle that has as a diameter the line segment [0, n/m2]...

- 3-Manifolds, Right-Angled Artin Groups, and Cubical Geometry: 3-manifolds, Right-angled Artin Groups, and Cubical Geometry. American Mathematical Soc....

- construct algebraic curves including the conic sections, the conchoid, the cubical parabola, the witch of Agnesi, the cissoid of Diocles, and the C****ini ovals...

- ball model) 1867 vortex theory of the atom (knot model) 1902 Lewis model (cubical atom model) 1904 Nagaoka model (Saturnian model) 1904 plum pudding model...

- cubic equation x3 + m2x = n where n > 0, Omar Khayyám constructed the parabola y = x2/m, the circle that has as a diameter the line segment [0, n/m2]...

- 3-Manifolds, Right-Angled Artin Groups, and Cubical Geometry: 3-manifolds, Right-angled Artin Groups, and Cubical Geometry. American Mathematical Soc....

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