Pentagramma mirificum (original) (raw)
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 Table of Logarithms) along with rules that link the values of trigonometric functions of five parts of a right spherical triangle (two angles and three sides). The properties of pentagramma mirificum were studied, among others, by Carl Friedrich Gauss.
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| dbo:abstract | 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 Table of Logarithms) along with rules that link the values of trigonometric functions of five parts of a right spherical triangle (two angles and three sides). The properties of pentagramma mirificum were studied, among others, by Carl Friedrich Gauss. (en) Pentagramma miracoloso (dal latino Pentagramma mirificum) è un poligono stellato su una sfera, composto da cinque grandi archi di cerchio, i cui sono tutti angoli retti. Questa forma è stata descritta da Nepero nel 1614 nel libro Mirifici Logarithmorum Canonis Descriptio (Descrizione della tabella Ammirabile di logaritmi) insieme alle regole che collegano i valori delle funzioni trigonometriche di cinque parti di un triangolo sferico rettangolo (due angoli e tre lati). Le proprietà del pentagramma miracoloso furono studiate, tra gli altri, da Carl Friedrich Gauss. (it) Pentagramma mirificum (łac. cudowny pentagram) – w geometrii sferycznej wielokąt gwiaździsty złożony z pięciu łuków kół wielkich, którego wszystkie kąty wewnętrzne są proste. Figurę tę opisał John Napier w pracy Mirifici Logarithmorum Canonis Descriptio (Opis cudownej tabeli logarytmów) z roku 1614 wraz z regułą Nepera, która wiąże wartości funkcji trygonometrycznych pięciu części trójkąta sferycznego prostokątnego (dwóch kątów i trzech boków). Własności pentagramma mirificum badał między innymi Carl Friedrich Gauss. (pl) |
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| dbp:title | Pentagramma mirificum (en) |
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| rdfs:comment | 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 Table of Logarithms) along with rules that link the values of trigonometric functions of five parts of a right spherical triangle (two angles and three sides). The properties of pentagramma mirificum were studied, among others, by Carl Friedrich Gauss. (en) Pentagramma miracoloso (dal latino Pentagramma mirificum) è un poligono stellato su una sfera, composto da cinque grandi archi di cerchio, i cui sono tutti angoli retti. Questa forma è stata descritta da Nepero nel 1614 nel libro Mirifici Logarithmorum Canonis Descriptio (Descrizione della tabella Ammirabile di logaritmi) insieme alle regole che collegano i valori delle funzioni trigonometriche di cinque parti di un triangolo sferico rettangolo (due angoli e tre lati). Le proprietà del pentagramma miracoloso furono studiate, tra gli altri, da Carl Friedrich Gauss. (it) Pentagramma mirificum (łac. cudowny pentagram) – w geometrii sferycznej wielokąt gwiaździsty złożony z pięciu łuków kół wielkich, którego wszystkie kąty wewnętrzne są proste. Figurę tę opisał John Napier w pracy Mirifici Logarithmorum Canonis Descriptio (Opis cudownej tabeli logarytmów) z roku 1614 wraz z regułą Nepera, która wiąże wartości funkcji trygonometrycznych pięciu części trójkąta sferycznego prostokątnego (dwóch kątów i trzech boków). Własności pentagramma mirificum badał między innymi Carl Friedrich Gauss. (pl) |
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