Introduction to definitions of geometry:
"Earth-measuring" is a part of mathematics concerned with questions of size, shape, relative position of figures, and the properties of space. Geometry is one of the oldest sciences. Initially a body of practical knowledge concerning lengths, areas, and volumes, in the 3rd century BC geometry was put into an axiomatic form by Euclid, whose treatment—Euclidean geometry—set a standard for many centuries to follow. A mathematician who works in the field of geometry is called a geometer. Source – wikipedia.
Importants definitions of Geometry :
There are various terms and definitions involved in geometry. Some of them are listed below:
Lines:
In geometry if A and B are the two points in the plane. There is only one line AB containing the points. The region where two points connects via the shortest path and continues indefinitely in both the directions is referred as a line.
Line segments:
Line segment is a part of line between two points. The line Segments that intersect at an angle of 90° is called Perpendicular line segments and the line segments that never intersect are known as parallel line segments.
Angles:
An angle is an inclination between two rays with the same initial point.
Right angle:
Angle that measures 90° is referred as right angle
Acute angle:
Angle that measures less than 90° is referred as Acute angle
Obtuse angle:
An angle that measures more than 90° is referred as Obtuse angle.
Scalene triangle:
A triangle in which all three sides has different lengths is known as Scalene Triangles.
Isosceles triangle:
A triangle with two equal length sides and also with two equal internal angles is referred as an isosceles triangle.
Equilateral triangle:
In geometry if a triangle has the equal length on all three sides, then it is referred as Equilateral triangle.
Axioms:
Certain statements are assumed as being true without proof apart from the theorems. Such assumptions are called axioms.
Complementary angles:
Two angles are said to be complementary if their sum is 90° and each is called the complement of the other.
Supplementary angles:
Two angles are said to be supplementary if their sum is 180° and each is called the supplement of the other.
Important definitions of geometry: Circles
The followings are some of the important definitions of geometry in circles.
Circles:
A and B are two concentric circles with radii r and R respectively and O is the center of the circle.
Circumference:
The distance around a circle is called the circumference of a circle.
Radius:
It is the distance from center of a circle to any point on that circle's circumference.
Chord:
Chord is a line segment joining two points on a curve.
Arc:
Part of a curve is referred as an arc.
Concentric circles:
Circles having the same center but different radii are called concentric circles.
Intersecting circles:
Two circles are said to be intersecting when they cut at two different points.
Touching circles:
In geometry two circles are said to touch one another if they meet only at one point. The point at which they touch one another is called the point of contact.
"Earth-measuring" is a part of mathematics concerned with questions of size, shape, relative position of figures, and the properties of space. Geometry is one of the oldest sciences. Initially a body of practical knowledge concerning lengths, areas, and volumes, in the 3rd century BC geometry was put into an axiomatic form by Euclid, whose treatment—Euclidean geometry—set a standard for many centuries to follow. A mathematician who works in the field of geometry is called a geometer. Source – wikipedia.
Importants definitions of Geometry :
There are various terms and definitions involved in geometry. Some of them are listed below:
Lines:
In geometry if A and B are the two points in the plane. There is only one line AB containing the points. The region where two points connects via the shortest path and continues indefinitely in both the directions is referred as a line.
Line segments:
Line segment is a part of line between two points. The line Segments that intersect at an angle of 90° is called Perpendicular line segments and the line segments that never intersect are known as parallel line segments.
Angles:
An angle is an inclination between two rays with the same initial point.
Right angle:
Angle that measures 90° is referred as right angle
Acute angle:
Angle that measures less than 90° is referred as Acute angle
Obtuse angle:
An angle that measures more than 90° is referred as Obtuse angle.
Scalene triangle:
A triangle in which all three sides has different lengths is known as Scalene Triangles.
Isosceles triangle:
A triangle with two equal length sides and also with two equal internal angles is referred as an isosceles triangle.
Equilateral triangle:
In geometry if a triangle has the equal length on all three sides, then it is referred as Equilateral triangle.
Axioms:
Certain statements are assumed as being true without proof apart from the theorems. Such assumptions are called axioms.
Complementary angles:
Two angles are said to be complementary if their sum is 90° and each is called the complement of the other.
Supplementary angles:
Two angles are said to be supplementary if their sum is 180° and each is called the supplement of the other.
Important definitions of geometry: Circles
The followings are some of the important definitions of geometry in circles.
Circles:
A and B are two concentric circles with radii r and R respectively and O is the center of the circle.
Circumference:
The distance around a circle is called the circumference of a circle.
Radius:
It is the distance from center of a circle to any point on that circle's circumference.
Chord:
Chord is a line segment joining two points on a curve.
Arc:
Part of a curve is referred as an arc.
Concentric circles:
Circles having the same center but different radii are called concentric circles.
Intersecting circles:
Two circles are said to be intersecting when they cut at two different points.
Touching circles:
In geometry two circles are said to touch one another if they meet only at one point. The point at which they touch one another is called the point of contact.
