Plane and solid geometry . oints meet in a point which is equidistant from the four ver-tices of the tetrahedron. Ex. 1506. The four lines perpendicular to the faces of a tetrahedron,and erected at their centers, meet in a point which is equidistant from thefour vertices of the tetrahedron. Ex. 1507. Circumscribe a sphere about a given cube. Ex. 1508. Circumscribe a sphere about a given rectangular paral-lelopiped. Can a sphere be inscribed in any rectangular parallelopiped ?Explain. Ex. 1509. Find a point equidistant from four points in space not allin the same plane. SPHEEICAL POLYGO:^S 934.
Plane and solid geometry . oints meet in a point which is equidistant from the four ver-tices of the tetrahedron. Ex. 1506. The four lines perpendicular to the faces of a tetrahedron,and erected at their centers, meet in a point which is equidistant from thefour vertices of the tetrahedron. Ex. 1507. Circumscribe a sphere about a given cube. Ex. 1508. Circumscribe a sphere about a given rectangular paral-lelopiped. Can a sphere be inscribed in any rectangular parallelopiped ?Explain. Ex. 1509. Find a point equidistant from four points in space not allin the same plane. SPHEEICAL POLYGO:^S 934. Def. A line on the surface of a sphere is said to beclosed if it separates a portion of the surface from the remain-ing portion. 935. Def. A closed figure on the surface of a sphere is afigure composed of a portion of the surface of the sphere andits bounding line or lines. 936. Defs. A spherical polygon is a closed figure on thesurface of a sphere whose boundary is composed of three ormore arcs of great circles, as
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Keywords: ., bookcentury1900, bookdecade1910, booksubjectgeometr, bookyear1912
