The Essentials of GeometryD.C. Heath & Company, 1899 - 395 pagina's |
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ABCD altitude approaches the limit area ABC axis bisecting centre circle circular cone circular cylinder circumference circumscribed coincide cone of revolution conical surface convex polyedron cube cylinder of revolution diameter diedral angle distance Draw lines entire surface equal parts occur equal spheres equally distant Find the area Find the lateral Find the volume frustum Given line given point Hence homologous inscribed intersection lateral area lateral edges lateral faces lateral surface line drawn lune O-ABC parallel planes Pass planes perimeter perpendicular plane determined plane MN polyedral angle proof is left PROP Prove radii radius rectangular parallelopiped regular polygon respectively sector sides slant height solid spherical angle spherical polygon spherical pyramid spherical triangle straight line symmetrical tangent THEOREM total surface tri-rectangular triangular prism triedral unit of measure vertex vertices Whence
Populaire passages
Pagina 371 - A zone is a portion of the surface of a sphere included between two parallel planes.
Pagina 261 - The projection of a point on a plane is the foot of the perpendicular drawn from the point to the plane.
Pagina 336 - A spherical polygon is a portion of the surface of a sphere bounded by three or more arcs of great circles. The...
Pagina 328 - A sphere is a solid bounded by a surface all points of which are equally distant from a point within called the centre.
Pagina 237 - ... the three sides of one are equal, respectively, to the three sides of the other. 2. Two right triangles are congruent if...
Pagina 243 - The perpendicular is the shortest line that can be drawn from a point to a straight line.
Pagina 353 - The area of a lune is to the surface of the sphere as the angle of the lune is to four right angles, or as the arc which measures that angle is to the circumference.
Pagina 375 - S7rR = 4WR1. (789) Therefore, the area of the surface of a sphere is equal to the area of four great circles. 791. COR. 2. TJie areas of the surfaces of two spheres are to each other as the squares of their radii, or as the squares of their diameters.
Pagina 297 - Pyramids are to each other as the products of their bases by their altitudes.
Pagina 347 - If two angles of a spherical triangle are unequal, the sides opposite are unequal,, and the greater side is opposite the greater angle...