Angol Matematika

Mathematics definitions and rules (to 11.a)

Geometry

Basic concepts:

         Basic concepts aren’t defined, however, they can be described.

         Geometry has three basic concepts: point, line and plane.

Point, line, plane:

         A point has no size. It is represented with a dot and named with capital letters.

         A line has length but neither width not thickness. It may be straight, curved or broken. It extends infinitely far in both directions. Lines can be named with small letters. If A and B are two points on a line, the line can also be named AB (line AB).

         A flat surface may be called a plane. A plane extends infinitely far in all directions and has no thickness. Planes can be represented with four-sided figures and are named with capital letters.

Collinear, non-collinear points:

         Def: collinear points are points which are contained in one line.

         Def: those points which aren’t contained in one line are said to be non-collinear.

Coplanar points or lines:

         Def: coplanar points (or lines) are points (or lines) which are contained in one plane.

         Def: points of lines which are not contained in the same plane are non-coplanar.

Lines:

         Def: if two straight lines intersect, then the intersection is exactly one point.

         Def: two straight lines are said to be parallel if they lie in the same plane and do not have a common point or all points are in common.

         Def: two straight lines are perpendicular to each other when the angles at which they intersect are all equal.




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Oldal: Geometry
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