Why is the shortest distance between 2 points a curved line?

Question

can u disprove it?

Answer 1

Two points in spacetime, spacetime is curved by presence of mass. You can only move in curves in this theoretical construct.

Answer 2

i imagine the conception of it truly is that area is inherently curved (as said through yet another responder) and so what we locate as a immediately line, isn't. in spite of the indisputable fact that, you will see a illustration of this variety of behaviour through creating use of the exterior of the earth. once you've a map of the USA, you would imagine that the shortest route that a plane ought to take from ny to l. a. will be represented through a immediately line connecting them. in spite of the indisputable fact that, this isn't unavoidably so. The shortest route actually lies on the 'large circle' which connects those 2 factors. The 'large circle' is will be considered because the rim of a disc that is going through both factors and likewise the centre of the earth. The diameter of the disc is for this reason the diameter of the earth. For the lines of decision, only the equator is an impressive circle. in case you flow further north, the shortest distance between 2 factors on an identical decision will surely look a curved line if plotted on a flat map, which commonly has horizontal, parallel lines of decision. the finished circle line would gently curve above the decision line, and then lower go into reverse again. wish this enables.

Answer 3

According to classical physics, the shortest distance between two points in space should be a straight line joining them. But later the discovery of relativity by Einstein and hence according to modern physics, space-time is not straight but curved. Everything can move in this curved space-time ONLY and no other path. Thats why the shortest distance between two points is a curved line (or simply a curve). It is not significant at short distances like metres or kilometres. But its effect becomes important at celectial level.
Hope that answers yr question. :)

Answer 4

It isn't, it's a straight line segment. But the shortest distance between two points on the surface of a sphere is a great circle curve. Stretch a string between New York and London on a globe and see where it goes. You're just not allowed to cut the globe to find the true shortest path.

Answer 5

the shortest distance is a straigh line. since the begining.now if you draw 2 points and draw a straight line connecting these two points you will get length X. try to make a samll curved line connecting these two points. pick a single poion (anywhere) on the cerved line and connected it with the ather two point

dada you have a triangle if you draw a line from the point ofn the curve to the straight line connecting the original two points perpendicula to it you will have two traingles with right angles.

therefore,

if x is the distance between the two points.
a is the distance from the 1st point to the one on the curved line
b is the distance from the 2nd point to the one on the curved line
and c the distance from the point on the curve perpendicular to the X then we prove as pithagoras said


X = x1 + x2 = sqrt ( a^2-c2) + sqrt( b^2 - c^2)

in order to minimize X c must be zero meaning that X is a straight line and a + b =X

Answer 6

If you're on a flat plane, the shortest distance is a straight line. But, if you're on a curved surface, the very concept of 'straight' has no meaning.


Doug

Answer 7

Make a curved and a straight line between two points and measure the length of each. That will prof something!

Answer 8

the shortest distance between two points is putting the points together...

Answer 9

com'on this statement is truly false. it is a universal fact that the shortest distance between two points is a straight line and this path is called displacement. pata nahin tum kahaan se padhke aate ho yeh sab.

Answer 10

DUH! Every body knowes the shortest distance between two points is a straight line thats always under costruction.