See also:

• CONOID (Gr. KWvor, cone, and el os, form)

CONOID (Gr. KWvor, See also:

• CONE (Gr. Kwvos)

cone, and el os, See also:

• FORM (Lat. forma)

form)  , in See also:

• GEOMETRY

geometry, the solids (or surfaces) formed by the revolution of a conic See also:

• SECTION
• SECTION (Lat. sectio, cutting, secare, to cut)

section about one of its See also:

• PRINCIPAL

principal axes . If the conic be a circle the See also:

• CONOID (Gr. KWvor, cone, and el os, form)

conoid is a See also:

• SPHERE (Gr. vclsa?pa, a ball or globe)

sphere (q.v.); if an See also:

• ELLIPSE (adapted from Gr. EXkei 'tc, a deficiency, iXXeirely, to fall behind)

ellipse a See also:

• SPHEROID (Gr. c4aipa-etbis, like a sphere)

spheroid (q.v.); if a See also:

• PARABOLA

parabola a paraboloid; if a See also:

• HYPERBOLA

hyperbola the See also:

• SURFACE

surface is a hyperboloid of either one or two sheets according as the revolution takes See also:

• PLACE (through Fr. from Lat. platea, street; Gr. IrAar6s, wide)

place about the conjugate or transverse See also:

• AXIS (Lat. for " axle ")

axis, and the surface generated by the asymptotes is called the " asymptotic See also:

• CONE (Gr. Kwvos)

cone." If two intersecting straight lines be regarded as a conic, then the principal axes are the bisectors of the angles between the lines; consequently the corresponding conoid is a right circular cone . It is to be noted that all these surfaces are surfaces of revolution; and they, therefore, differ from the surfaces discussed under the same names in the See also:

• ARTICLE (from Lat. articulus, a joint)

article GEOMETRY: See also:

• ANALYTICAL

Analytical . The spheroid has for its cartesian See also:

• EQUATION (from Lat. aequatio, aequare, to equalize)

equation(x2+y2)/See also:

• A2(z)

a2+z2/b2 = 1; the hyperboloid of one See also:

• SHEET

sheet(of revolution)is(x2+y2)/a2-z2/b2=1; the hyperboloid of two sheets is z2/c2-(x2+y2)/a2=1; and the paraboloid of revolution is x2+y2=4az .