Equidistant meaning in Hindi revolves around the concept of “समान दूरी” (samaan doori), which literally translates to “equal distance.” Understanding equidistant points, lines, and shapes is crucial in various fields, from mathematics and geography to architecture and design. This article will delve into the meaning of equidistant in Hindi, explore its practical applications, and provide clear examples to solidify your understanding.
What Does Equidistant Mean?
Equidistant describes the state of being at the same distance from a point, line, or plane. Imagine a circle: all points on the circumference are equidistant from the center. This principle extends to numerous scenarios in our daily lives and various academic disciplines. Whether you’re calculating distances on a map or designing a symmetrical building, the concept of equidistant plays a vital role.
Equidistant in Geometry: Lines, Points, and Shapes
In geometry, the concept of equidistant is fundamental. Equidistant points form the basis for defining various geometric shapes. For example, a circle is defined as the set of all points equidistant from a given point (the center). Similarly, the perpendicular bisector of a line segment is the locus of all points equidistant from the endpoints of the segment.
Understanding Equidistant Lines
Equidistant lines maintain the same distance between each other throughout their length. Parallel lines are a prime example of equidistant lines. They never intersect and remain a constant distance apart. This property is essential in various geometric constructions and proofs.
Equidistant Points and their Applications
Understanding equidistant points is crucial for various geometric calculations and constructions. For instance, finding the circumcenter of a triangle involves identifying the point equidistant from all three vertices. This point is the center of the circle that passes through all the vertices of the triangle.
Equidistant in Real-World Applications
The concept of equidistant extends beyond theoretical geometry and finds practical applications in various fields.
- Mapping and Navigation: Determining equidistant points on a map helps in identifying locations that are an equal distance from a central point, like a distribution center or a landmark.
- Architecture and Design: Creating symmetrical and balanced designs often relies on the principle of equidistance. For example, placing columns equidistant from each other in a building ensures structural stability and aesthetic appeal.
- Urban Planning: Equidistant zoning regulations can be used to ensure adequate space between buildings, parks, and other urban elements.
Equidistant and the Perpendicular Bisector
The perpendicular bisector of a line segment is a line that divides the segment into two equal parts and is perpendicular to it. Every point on the perpendicular bisector is equidistant from the endpoints of the segment. This concept is essential in geometric constructions and proofs.
Equidistant: समान दूरी (samaan doori) in Daily Life
While we may not consciously think about it, the concept of equidistant is present in numerous aspects of our daily lives. From arranging furniture symmetrically in a room to determining the optimal location for a community center accessible to all residents, equidistance plays a subtle yet significant role.
Conclusion: Embracing the Concept of Equidistant
Equidistant, or समान दूरी (samaan doori) in Hindi, is a fundamental concept with wide-ranging applications. From geometric constructions to real-world scenarios, understanding equidistance allows us to appreciate the balance and symmetry in the world around us. Whether you’re a student, a professional, or simply curious about the world, grasping this concept can enhance your understanding of various fields and improve your problem-solving skills.
FAQs
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What is the Hindi word for equidistant?
The Hindi word for equidistant is समान दूरी (samaan doori). -
What are some real-world examples of equidistant?
Examples include points on a circle, parallel lines, and the arrangement of furniture in a symmetrical layout. -
How is equidistant used in mapping?
Equidistant helps in finding locations at equal distances from a central point on a map. -
What is the significance of equidistant in geometry?
It’s crucial for defining shapes like circles and understanding concepts like perpendicular bisectors. -
How does equidistant relate to symmetry?
Equidistance often underlies symmetrical designs and arrangements.
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