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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.
What else can I help you with?
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.
How did fractal geometry impact technology?
Fractal geometry has significantly influenced technology by providing tools for modeling complex, irregular structures found in nature, such as coastlines, clouds, and mountains. This has enhanced fields like computer graphics, where fractal algorithms are used to create realistic textures and landscapes in video games and simulations. Additionally, fractals have applications in telecommunications, improving signal processing and antenna design by optimizing bandwidth and efficiency. Overall, the principles of fractal geometry have led to advances in various technological domains, enabling more efficient and innovative solutions.
Which area of the mathematics do you think led aryabhata to conclude that is a sphere?
Aryabhata's conclusion about the Earth being a sphere was likely influenced by his work in geometry and astronomical observations. His understanding of spherical shapes and their properties, combined with the need to explain celestial phenomena, would have led him to this conclusion. Additionally, the mathematical principles of trigonometry and the study of circular motion in astronomy would have reinforced the idea of a spherical Earth.
How many months did it take the Corps of Discovery to travel 3000 miles?
The Corps of Discovery, led by Meriwether Lewis and William Clark, took approximately 2 years to complete their journey, which covered around 3,000 miles. They embarked on their expedition in May 1804 and returned in September 1806. This means it took them about 29 months to travel that distance, averaging roughly 100 miles per month.
What was significant about the discovery of galium?
Gallium, discovered in 1875 by French chemist Paul-Émile Lecoq de Boisbaudran, was significant because it was the first element predicted by Mendeleev's periodic table before its discovery. Its existence confirmed the validity of the periodic law and the predictive power of the periodic table. Additionally, gallium's unique properties, such as its low melting point and ability to remain liquid just above room temperature, have led to various applications in electronics and thermometers.
How did the discovery of electrons make it necessary to change one of Dalton's postulates?
The discovery of electrons showed that atoms were not indivisible as Dalton had proposed, but instead contained subatomic particles. This led to a revision of Dalton's postulate that atoms were the smallest, indivisible particles, as it became clear that atoms could be divided into even smaller components such as electrons.
Alpha particles led to what discovery of what?
discovery of the atom's structure
The study of Euclidean geometry has led to the development and acceptance of other non-Euclidean types of geometry?
true
Who started a school that led to the development of geometry?
Euclid
What discovery led to the exact absolute dating in geology?
The discovery of radioactivity
What observations led to the discovery of the ozone hole?
The UV rays were entering the surface of earth. This led to discovery of ozone hole.
Events the led to the discovery of DNA?
Watson and crick and the discovery of the double helix
Who led the corpse of discovery?
The main People involved in the corpse of Discovery are Lewis and Clark.
What led to the mining boom?
The discovery of gold.
Which of these was not a factor that led to the ending of the?
Discovery of Gold
Did Thompson's experiments led to the discovery of the neutron?
no
Who led the discovery of magnetism?
thomas edison.
