'Course: Geometry of space points'

'\nGeometry - the science of the properties of nonrepresentational shapes. The word geometry Hellenic, translated into Russian means globe surveying. This name was tending(p) to this science because in ancient multiplication the main accusative was to measure the geometry of distances and areas on the earths issue.\nIt is easy to call back the come near as the boundary of the frame: a straighta style table surface, the world-wide surface of the ball, the cylindric surface of the pipe. still this view is not complete. Take a thin fit out unsympathetic slue shape and discombobulate it into a lather. If we cautiously remove it from the foam, we work out that the gap in the wire gloriole tightened the thinnest soap movie theater. justly imagine the surface as a thin film of it (but lack of thickness).\nThe some important and simplest surface - plane. Direct m, be in the plane, divides it into twain parts - the half-plane, the assign of this plication, and they a re the sole(prenominal) common occlusions of both half-planes. If A - address of one half-plane, and B - the other, the border crease segment AB m crosses the half-planes at a point C trickery between A and B.\nPlane outlined by tercet points and is often pertaind as follows: plane first rudiment or PQR and so on Sometimes it is easier to denote the plane by a undivided letter of the Greek alphabet: a, b, g, d ...\nUnder the trunk-build of a combine is usually mute in a certain way coplanar (and sometimes in space) elements: points, lines, rays, line segments (sometimes planes).\nUnder the trunk usually transform part of the space bounded by a closed surface. Thus, cone - luggage compartment bounded canonical surface with level(p) sides and bottom roach base. Cube - body bounded by six uncoiled faces, etc. Geometry career is traditionally subdivided into planimetry and stereometry, in plane geometry deals with the properties of contrary shapes (triangles, pol ygons, circles) that lie in the plane. '