Table of Contents
- 1 Is straight line the shortest distance between 2 points?
- 2 When we say shortest between two points is it always mean straight line?
- 3 Why is the shortest distance between any two places always lie on great circle route?
- 4 What is the distance of a straight line?
- 5 How do you find the distance between two circles?
- 6 What is the distance from the node to the other node?
Is straight line the shortest distance between 2 points?
The popular definition of a “straight line” as “the shortest distance between two points” is one of the few pieces of mathematical jargon in general circulation in the English language.
When we say shortest between two points is it always mean straight line?
The shortest distance between two points on the sphere is not a straight line.
What is the shortest distance between two places on earth?
Great circle
Credit: US Geological Survey – Online Earthquake Glossary: Great circle. The shortest distance between any two points on the surface of a sphere is called the Great Circle, a part of which is shown in the diagram as a dashed line. This circle is concentric with the center of the sphere.
Why is the shortest distance between any two places always lie on great circle route?
Or why is it that when you see flight paths on a map they always take a curved route between 2 cities? It’s because planes travel along the shortest route in a 3-dimensional space. This route is called a geodesic or great circle route. They are common in navigation, sailing and aviation.
What is the distance of a straight line?
In Euclidean geometry, the distance from a point to a line is the shortest distance from a given point to any point on an infinite straight line. It is the perpendicular distance of the point to the line, the length of the line segment which joins the point to nearest point on the line.
Is a straight line always the shortest distance between two points?
No, a straight line isn’t always the shortest distance between two points. The shortest distance between two points depends on the geometry of the object/surface in question. For flat surfaces, a line is indeed the shortest distance but for spherical surfaces like our planet Earth, great-circle distances represent the true shortest distance.
How do you find the distance between two circles?
These points divide the circle into two arcs; the smaller arc represents the true shortest distance between the two points and is called the great-circle distance. In the below image, the points P and Q are two non-diametrical points and the arc PQ represents the shortest distance between the two (great circle distance).
What is the distance from the node to the other node?
3: There is no straight line distance from any node to any other node (like points on a sphere, but no calculus, don’t worry) 4: Every number on this line sees a different network from any other number, so to see the network from a numbers point of view you need to become that number (after all its distances are unique to it, remember!).
Is the hypotenuse of a right triangle always the shortest distance?
The hypotenuse of a right triangle is not always the shortest distance between the two points that define it