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Octant projection : ウィキペディア英語版
Octant projection

The octant projection〔(Octant-projection (art of geography) )〕〔(Progonos-map-projections )〕〔(Csiss.org-map-projections )〕 or octants projection, it's a type of projection proposed the first time, in 1508, by Leonardo da Vinci in his Codex Atlanticus.〔 Leonardo's authorship would be demonstrated by Christoher Tyler paper,(''"..For those projections dated later than 1508, his drawings should be effectively considered the original precursors.."'') in fact, there is a sketch of it on a page in the Codex Atlanticus manuscrips, made from the very hand of Leonardo, being Leonardo's sketch, the first known description of the ''octant projection''.〔
The same page of the Codex contains sketches of eight other projections of the globe (those known in the late fifteenth century), being studied by Leonardo, ranging from the Ptolemy's conical planisphere projection to the one proposed by Rosselli,〔
==Description==

It's a projection neither conformal nor equal-area,〔(conformal projection has the following properties: the scale at any point is the same in all directions.. and the angle between any two lines on the map must be the same as on the earth. An equal area projection preserves relationships between corresponding areas.. )〕 bound by circular arcs, with no meridians and no parallels, in which the spherical surface of the earth is divided into eight octants, each flattened into the shape of a Reuleaux triangle. If transferred to an elastic support, it would be possible to cover with them the surface of a model of the earth's globe.〔.〕
The eight triangles are oriented in a similar way as per two four leaf clovers〔(Proiezioni a ottanti )〕 side by side, being the earth poles in the center of each clove. One of the sides of the eight triangles, (the one opposite to the center of the pseudo clover), is one fourth of the equator, the remaining two (those that converge to the center of the pseudo clover), are part of the two meridien that with the equator dissect the globe in the eight octants.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
ウィキペディアで「Octant projection」の詳細全文を読む



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