Euclidian geometry is a mathematical system attributed to Alexandrian Greek Mathematician Euclid
The Greek mathematicians of Euclid?s time thought of geometry as an abstract model of the world in which they lived. The notions of point, line, plane (or surface) and so on were derived from what was seen around them. From studies of the space and solids in the space around them, an abstract geometrical notion of a solid object was developed. A solid has shape, size, position, and can be moved from one place to another. Its boundaries are called surfaces. They separate one part of the space from another and are said to have no thickness. The boundaries of the surfaces are curved or straight lines. These lines end in points.
A straight line segment may be drawn from any given point to any other.
A straight line may be extended to any finite length.
A circle may be described with any given point as its center and any distance as its radius.
All right angles are congruent.
If a straight line intersects two other straight lines, and so makes the two interior angles on one side of it together less than two right angles, then the other straight lines will meet at a point if extended far enough on the side on which the angles are less than two right angles. (Proof could be a triangle because it has to be 180 degrees)
Euclidean geometry includes the study of points, lines, planes, angles, triangles, congruence, similarity, solid figures, circles, and analytic geometry. Euclidean geometry has applications practical applications in computer science, crystallography, and various branches of modern mathematics
" />Euclidian geometry is a mathematical system attributed to Alexandrian Greek Mathematician Euclid
The Greek mathematicians of Euclid?s time thought of geometry as an abstract model of the world in which they lived. The notions of point, line, plane (or surface) and so on were derived from what was seen around them. From studies of the space and solids in the space around them, an abstract geometrical notion of a solid object was developed. A solid has shape, size, position, and can be moved from one place to another. Its boundaries are called surfaces. They separate one part of the space from another and are said to have no thickness. The boundaries of the surfaces are curved or straight lines. These lines end in points.
A straight line segment may be drawn from any given point to any other.
A straight line may be extended to any finite length.
A circle may be described with any given point as its center and any distance as its radius.
All right angles are congruent.
If a straight line intersects two other straight lines, and so makes the two interior angles on one side of it together less than two right angles, then the other straight lines will meet at a point if extended far enough on the side on which the angles are less than two right angles. (Proof could be a triangle because it has to be 180 degrees)
Euclidean geometry includes the study of points, lines, planes, angles, triangles, congruence, similarity, solid figures, circles, and analytic geometry. Euclidean geometry has applications practical applications in computer science, crystallography, and various branches of modern mathematics
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