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An Elementary Introduction to Line Geometry
The Mathematical Gazette, 1935The study of line geometry by analytical methods involving the use of tangential coordinates and tangential equations is often found difficult by the junior Honours student. In the writer’s view the reason for this is to be found in the fact that, according to the course followed by a good many textbooks, the student finds himself, so to speak ...
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Lines and Boxes: The Geometry of Thought
2019Lines simplify and abstract; they also focus attention, leading a body or a mind from place to place. The eye creates lines where there are none, connecting occluded fragments to perceive objects. The body creates lines in the world on paths, on bookshelves, and on streets. The hand creates lines on the page to represent things and ideas, organized and
Barbara Tversky, Barbara Tversky
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The Geometry of Chains on a Complex Line
The Annals of Mathematics, 1909Introduction. This paper forms an elementary chapter in the projective geometry on a complex line, i. e., of a line whose points are isomorphic with the system of ordinary complex numbers and infinity. It furnishes a synthetic treatment of certain well-known topics in the theory of functions of a complex variable; it has close contact with recent work ...
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Geometry and Scaling of Vortex Lines
2016Many geometrical properties can be be used to characterise space curves, and for random filaments such as the vortices in wave chaos may take particular statistical values. In this Chapter we introduce and apply several of these standard measures, relating the statistics of the vortices to those of random walks, and comparing with other systems of ...
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Programmable interactions and emergent geometry in an array of atom clouds
Nature, 2021Avikar Periwal +2 more
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Study of Virtual Reality Immersive Technology Enhanced Mathematics Geometry Learning
Frontiers in Psychology, 2022Yu-sheng Su, Chin-feng Lai
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Spacetime Algebra and Line Geometry
1996The hidden universal Clifford algebra structure of M4(R) is ambiguous in the sense that this matrix algebra is the universal geometric algebra belonging to each of the real four-dimensional quadratic vector spaces R1,3 and R2,2. As a non-universal Clifford algebra, however, M4(R) is a geometric algebra of the unique five-dimensional quadratic vector ...
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The Geometry of Abstraction in the Hippocampus and Prefrontal Cortex
Cell, 2020Silvia Bernardi +2 more
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