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See all on WikipediaPentagramma mirificum - Wikipedia
Pentagramma mirificum (Latin for "miraculous pentagram") is a star polygon on a sphere, composed of five great circle arcs, all of whose internal angles are right angles. This shape was described by John Napier in his 1614 book Mirifici Logarithmorum Canonis Descriptio (Description of the Admirable … See more
Gauss introduced the notation
$${\displaystyle (\alpha ,\beta ,\gamma ,\delta ,\varepsilon )=(\tan ^{2}TP,\tan ^{2}PQ,\tan ^{2}QR,\tan ^{2}RS,\tan ^{2}ST).}$$ See more• Media related to Pentagramma mirificum at Wikimedia Commons
• Pentagramma mirificum on YouTube See moreWikipedia text under CC-BY-SA license What are the modern connections of the Pentagramma …
The Pentagramma Mirificum is a spherical figure formed by a series of five great circle arcs, each orthogonal to the next, and it probably does deserve a …
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Pentagramma Mirificum - Uni Bielefeld
Pentagramma Mirificum Here are historical roots of the Pentagramma Mirificum. It was discovered by Napier around 1600, and fully explained by Gauss more than two centuries later, see below.
Mirifici Logarithmorum Canonis Descriptio - Wikipedia
Napier's Descriptio is divided into two books. The first describes his invention and some applications and includes the tables. The second discusses applications to trigonometry.
Chapter 1 contains a series of definitions and propositions that explains Napier's conception of logarithms. He conceived logarithms in terms of two models of motion. In the first, a particle starts at a point and moves along a straight line at a constant speed. In the second, a particle moves …Wikipedia · Text under CC-BY-SA license- Estimated Reading Time: 8 mins
Pentagram - Wikipedia
A pentagram (sometimes known as a pentalpha, pentangle, or star pentagon) is a regular five-pointed star polygon, formed from the diagonal line segments of a convex (or simple, or non-self-intersecting) regular pentagon.
"Pentagramma Mirificum". Hirzebruch lecture by Sergey Fomin on …
Pentagramma Mirificum (the miraculous pentagram) is a beautiful geometric construction studied by Napier and Gauss. Its algebraic description yields the simplest instance of cluster …
Global Psychosocial Implication in the Pentagramma Mirificum
The 2-part Pentagramma Mirificum could be considered as indicative of a form of minimal cognitive system to enable global cognitive circumnavigation. It recalls the cybernetic …
[1106.3633] Pentagramma Mirificum and elliptic functions - arXiv.org
Jun 18, 2011 · We give an exposition of fragments from Gauss [G] where he discovered, with the help of some work of Jacobi, a remarkable connection between Napier pentagons on the …
Category:Pentagramma mirificum - Wikimedia Commons
a star polygon on a sphere, composed of five great circle arcs, whose all internal angles are right angles. The following 2 files are in this category, out of 2 total.
Embedding the quintuple helix in a spherical dodecahedron and a ...
In the light of the spherical geometry of the Pentagramma Mirificum, and its seminal role in global navigation, the relevance of both a great circle and polyhedral framing for a dynamic...
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