891 books
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Geometry
Geometry (from the Ancient Greek: 纬蔚蠅渭蔚蟿蟻委伪; geo- "earth", -metron "measurement") is a branch of mathematics concerned with questions of shape, size, relative position of figures, and the properties of space. A mathematician who works in the field of geometry is called a geometer.
Geometry arose independently in a number of early cultures as a practical way for dealing with lengths, areas, and volumes. Geometry began to see elements of formal mathematical science emerging in the West as early as the 6th century BC. By the 3rd century BC, geometry was put into an axiomatic form by Euclid, whose ...more
Geometry arose independently in a number of early cultures as a practical way for dealing with lengths, areas, and volumes. Geometry began to see elements of formal mathematical science emerging in the West as early as the 6th century BC. By the 3rd century BC, geometry was put into an axiomatic form by Euclid, whose ...more
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“
[Euclid's] second postulate, for example, says that any line segment may be extended indefinitely. That is difficult for even the most querulous to argue with. The fifth, on the other hand, states that if two lines are drawn which intersect a third in such a way that the sum of the inner angles on one side (labelled a and b in the diagram below) is less than two right angles (i.e. 180掳), then the two lines inevitably must intersect each other on that side if extended far enough. If, on the other
...more
”
― The Man from the Future: The Visionary Ideas of John von Neumann
― The Man from the Future: The Visionary Ideas of John von Neumann

“
a constellation is formed by points of light that are not connected to each other by anything other than the observer
”
― Singer Distance
― Singer Distance
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Starting in Summer of 2019, the Fields Institute's MathEd Forum is organizing a book club which …more
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