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relations of the circles, figures, and other magnitudes of a sphere, produced by planes intersecting it; spherical geometry and trigonometry.

A nonplane curve formed by the intersection of the surface of an oblique cone with the surface of a sphere whose center is at the vertex of the cone.

solid block of houses; also, an open place or area for public use, as at the meeting or intersection of two or more streets. The statue of Alexander VII. stands in the large square of the town. Addison.

uminous spot occasionally seen a few degrees from the sun, supposed to be formed by the intersection of two or more halos, or in a manner similar to that of halos.

n ellipse or hyperbola, any two chords drawn through the extremities of a diameter, and intersecting on the curve.

es, a rule. Not theories, but theorems (Coleridge. By the theorems, Which your polite and terser gallants practice, I re-refine the court, and civilize Their barbarous natures. Massinger.

The intersection of a plane of projection, or an original plane, with a coordinate plane.

A circular plate or a cross, with two or more cross grooves intersecting at the center, used on the end of a shaft to transmit motion to another shaft not in line with the first.

A straight line which traverses or intersects any system of other lines, as a line intersecting the three sides of a triangle or the sides produced.

Having, or characterized by, three unequal axes intersecting at oblique angles. See the Note under crystallization.

Same as Unguis, 3. Spherical ungula (Geom.), a part of a sphere bounded by two planes intersecting in a diameter and by a line of the surface of the sphere.

etween ranges of hills or mountains; the strip of land at the bottom of the depressions intersecting a country, including usually the bed of a stream, with frequently broad alluvial plains on one or both sides of the stream. Also used figuratively. The valley of the shadow of death. Ps. xxiii. 4. Sweet interchange Of h…

th.), a fraction which reduces to the form Math. Dict. -- Vanishing line (Persp.), the intersection of the parallel of any original plane and picture; one of the lines converging to the vanishing point. -- Vanishing point (Persp.), the point to which all parallel lines in the same plane tend in the representation. Gw…

A narrow mass of rock intersecting other rocks, and filling inclined or vertical fissures not corresponding with the stratification; a lode; a dike; -- often limited, in the language of miners, to a mineral vein or lode, that is, to a vein which contains useful minerals or ores.

-- Spherical wedge (Geom.), the portion of a sphere included between two planes which intersect in a diameter.

Clay intersecting a vein. Weale.

Parallel lines that are made to appear convergent or divergent by means of oblique intersections.

A series of planes having mutually parallel intersections.