What is the best match?

hyperbolic space

    { 1 } - through a point outside a given line, at least two lines can be drawn parallel to the given line
    { 2 } - Riemannian space
    { 3 } - one cannot construct a figure with two straight lines

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Directions: Click on a number from 1 to 3.
























 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 

























1 is correct!

hyperbolic space

hyperbolic space <=> through a point outside a given line, at least two lines can be drawn parallel to the given line

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Before continuing, you might try some wrong answers.
























 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 

























2 is wrong. Please try again.

hyperbolic space

    { 1 } - through a point outside a given line, at least two lines can be drawn parallel to the given line
    { 2 } - Riemannian space
    { 3 } - one cannot construct a figure with two straight lines

elliptic space <=> Riemannian space

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3 is wrong. Please try again.

hyperbolic space

    { 1 } - through a point outside a given line, at least two lines can be drawn parallel to the given line
    { 2 } - Riemannian space
    { 3 } - one cannot construct a figure with two straight lines

Euclidean space <=> one cannot construct a figure with two straight lines

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