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Adding to what Anand Mehta said, the negation of that statement has two interpretations.
(i) there are zero lines through that point that are parallel to the given line (this is called Elliptic or Reimannian Geometry)
(ii) there is an infinite number of lines that pass through the point and parallel to a given line (this is called Hyperbolic or Lobachevskian Geometry)
I might add that the study of non-Euclidean Geometries are absolutely fascinating.
Euclid's fifth postulate stated that
If a line segment intersects two straight lines forming two interior angles on the same side that sum to less than two right angles, then the two lines, if extended indefinitely, meet on that side on which the angles sum to less than two right angles.
This postulate is also known as the Parallel postulate which states that
Given a line and a point which is not on that line, there is at most one line parallel to the the given line which is coplanar with the given line and passes through the given point.
Non-Euclidean geometries are obtained from the negation of this postulate.
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How did Thomas Edison invent the phonograph?
This was a tin foil phonograph. The phonograph played cylinders and not disks which led to his discovery that he could playback messages via this invention.
Why was Robert hooke's discovery so important?
His discovery led to this improvement in science. He studied a dead cork [cell] and saw that it had many similar compartments that looked like holding cells, therefore the name Cells came to be. Robert Hooke saw the compartments with a special microscope that he built and invented. This microscope, however, was no where near as strong as the microscopes that we have today in our modern day technological lives.This is pretty much all that I can think of off of the top of my head, so BYE!!!
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what clues led tippington to the thief
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Euclid
The study of Euclidean geometry has led to the development and acceptance of other non-Euclidean types of geometry?
true
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The discovery of radioactivity
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Watson and crick and the discovery of the double helix
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The discovery of gold.
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thomas edison.
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neutrons A+
Which of these was not a factor that led to the ending of the?
Discovery of Gold
