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ssrs barcode font free Area(^ABD) Area(^BCD) 5. Area of ABCD in ObjectiveC
4. Area(^ABD) Area(^BCD) 5. Area of ABCD Scan QR Code 2d Barcode In ObjectiveC Using Barcode Control SDK for iPhone Control to generate, create, read, scan barcode image in iPhone applications. Generating QR Code In ObjectiveC Using Barcode creator for iPhone Control to generate, create QR Code ISO/IEC18004 image in iPhone applications. 1 2 h(b
Read QR In ObjectiveC Using Barcode reader for iPhone Control to read, scan read, scan image in iPhone applications. Drawing Barcode In ObjectiveC Using Barcode maker for iPhone Control to generate, create barcode image in iPhone applications. CHAPTER 16 Proofs of Important Theorems
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4. If equals are added to equals, the sums are equal.
... . . .) 5. The whole equals the sum of its parts.
1 2 rp
5. p 6. Area of ABCDE . . .
6. Substitution Postulate
Extending Plane Geometry into Solid Geometry
17.1 Solids
A solid is an enclosed portion of space bounded by plane and curved surfaces. Thus, the pyramid , the cube , the cone , the cylinder , and the sphere are solids. A solid has three dimensions: length, width, and thickness. Practical illustrations of solids include a box, a brick, a block, and a ball. These are not, however, the pure or ideal solids that are the concern of solid geometry. In solid geometry we study the geometric properties of perfect solids, such as their shape, their size, the relationships of their parts, and the relationships along solids; physical properties such as their color, weight, or smoothness are disregarded. 17.1A Kinds of Solids
Polyhedra A polyhedron is a solid bounded by plane (flat) surfaces only. Thus, the pyramid and cube are polyhedrons. The cone, cylinder, and sphere are not polyhedra, since each has a curved surface. The bounding surfaces of the polyhedron are its faces; the lines of intersection of the faces are its edges, and the points of intersection of its edges are its vertices. A diagonal of a polyhedron joins two vertices not in the same face. Thus, the polyhedron shown in Fig. 171 has six faces. Two of them are triangles (ABC and CFG), and the other four are quadrilaterals. Note AF is a diagonal of the polyhedron. The shaded polygon HJKL is a section of the polyhedron formed by the intersection of the solid and a plane passing through it. Fig. 171 The angle between any two intersecting faces is a dihedral angle. The angle between the covers of an open book is a dihedral angle. As the book is opened wider, the dihedral angle grows from one that is acute to one that is right, obtuse, and then straight. The dihedral angle can be measured by measuring the plane angle between two lines, one in each face, and in a plane perpendicular to the intersection between the faces. CHAPTER 17 Extending Plane Geometry into Solid Geometry
Prisms
A prism (Fig. 172) is a polyhedron two of whose faces are parallel polygons, and whose remaining faces are parallelograms. The bases of a prism are its parallel polygons. These may have any number of sides. The lateral (sides) faces are the parallelograms. The distance between the two bases is h; it is measured along a line at right angles to both bases. A right prism is a prism whose lateral faces are rectangles. The distance h is the height of any of the lateral faces. Fig. 172 Fig. 173 A rectangular solid (box) is a prism bounded by six rectangles. The solid can be formed from a pattern of six rectangles, as shown in Fig. 173, folded along the dashed lines. The length l, width w, and height h are its dimensions. A cube is a rectangular solid bounded by six squares. The cube can be formed from a pattern of six squares, as shown in Fig. 174, folded along the dashed lines. Each equal dimension is represented by e in the diagram.

