n. 1 solid figure whose two ends are equal parallel rectilinear figures, and whose sides are parallelograms. 2 transparent body in this form, usu. triangular with refracting surfaces at an acute angle with each other, which separates white light into a spectrum of colours. [Greek prisma -mat- thing sawn]
... . Δ a straight line parallel to the side edges Let ax be the segment of this line belonging to. the prism When the point X describes the triangle Δ, the segments . ax fill the triangular prism By ... ... the triangular prism By constructing such a prism for each triangle Δ, we . obtain a partition of this prism into triangles All these prisms have the same height , equal to the. height of the original prism ... (Stereometry)
... A prism is called oblique if its side edges are. not perpendicular to the bases The right prism faces - rectangles A prism is called correct if its bases are regular . polygons The ... ... is called correct if its bases are regular . polygons The area of the side surface of a prism is. the sum of the areas of the side faces The total surface of the prism is equal to the. sum ... (Stereometry)
... A prism is a polyhedron , which consists of two flat . polygons lying in different planes and aligned ... ... by parallel translation ,.and all segments connecting the corresponding points of these polygons Polygons are called prism bases , and the segments connecting the. corresponding vertices are called lateral edges of the prism . Prism ... (Stereometry)
... The side surface of a straight prism is equal . to the product of the base perimeter and the height .of the prism , i e on the length of the side edge Evidence The lateral faces of a straight prism are rectangles ... ... of a straight prism are rectangles . The bases of these rectangles are the sides of the. polygon lying at the base of the prism , and the.heights are equal to the length of the side edges Therefore , the lateral surface of the prism is where ... (Stereometry)
... A prism inscribed in a cylinder is a prism whose . base planes are the base planes of the cylinder , and.the side ... ... passing . through the generator of the cylinder and perpendicular to the.plane of axial section containing this generator A prism described near a cylinder is called a prism ., in which the planes of the bases are the planes .of the bases ... (Stereometry)
... a triangular prism and complement it to the parallelepiped . Point O is the center of symmetry of the parallelepiped . Therefore , the completed prism is symmetric to the initial one . with respect to the point O, therefore , it has a.volume equal to the volume ... ... to the initial one . with respect to the point O, therefore , it has a.volume equal to the volume of the initial prism Thus , the volume of the parallelepiped constructed is equal to. twice the volume of this prism The volume ... (Stereometry)
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