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Stereographic projection
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In mathematics, a stereographic projection is a perspective projection of the sphere, through a specific point on the sphere, onto a plane perpendicular to the diameter through the point. It is a smoo
Illustration by Rubens for "Opticorum libri sex philosophis juxta ac mathematicis utiles", by François d'Aguilon. It demonstrates the principle of a g
Illustration by Rubens for "Opticorum libri sex philosophis juxta ac mathematicis utiles", by François d'Aguilon. It demonstrates the principle of a general perspective projection, of which the stereographic projection is a special case.
The sphere, with various loxodromes shown in distinct colors
The sphere, with various loxodromes shown in distinct colors
Two points P1 and P2 are drawn on a transparent sheet tacked at the origin of a Wulff net.
Two points P1 and P2 are drawn on a transparent sheet tacked at the origin of a Wulff net.
The transparent sheet is rotated and the central angle is read along the common meridian to both points P1 and P2.
The transparent sheet is rotated and the central angle is read along the common meridian to both points P1 and P2.
Astrolabe
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An astrolabe is an astronomical instrument dating to ancient times. It serves as a star chart and physical model of the visible half-dome of the sky. Its various functions also make it an elaborate in
Stereographic projection
…described by Vitruvius (1st century BC). By the time of Theon of Alexandria (4th century), the planisphere had been combined with a dioptra to form the planispheric astrolabe ("star taker"), a capable portable device which could be used for measuring star positions and performing a wide variety of astronomical calculations…
North African, 9th century ce, planispheric astrolabe. Khalili Collection.
North African, 9th century ce, planispheric astrolabe. Khalili Collection.
A modern astrolabe made in 2013, in Tabriz, Iran.
A modern astrolabe made in 2013, in Tabriz, Iran.
16th-century woodcut of the measurement of a building's height with an astrolabe
16th-century woodcut of the measurement of a building's height with an astrolabe
A modern reconstruction of the spherical astrolabe of Ptolemy, 2nd C.E., in Kotsanas Museum of Ancient Greek Technology, Athens.
A modern reconstruction of the spherical astrolabe of Ptolemy, 2nd C.E., in Kotsanas Museum of Ancient Greek Technology, Athens.