Views Orthographicprojection or orthogonal projection is a means of representing a Three dimensional space three dimensional object in Two dimensional two dimensions . It is a form of parallel projection , where all the projection lines are orthogonal to the projection plane, ref name maynard Cite book ... into multiview orthographic projections and axonometric projection s . A lens providing an orthographicprojection is known as an Telecentric lens Object space telecentric lenses object space telecentric lens . The term orthographic is also sometimes reserved specifically for depictions of objects where the axis or plane of the object is also parallel with the projection plane, ref name maynard as in multiview orthographic projections . Image Convention placement vues dessin technique.svg thumb right 200px Symbols used to define whether a projection is either Third Angle right or First Angle left . Origin The orthographicprojection has been known since antiquity, with its cartographic uses being well documented. Hipparchus used the projection in the 2nd century B.C. to determine the places ... orthographic from the Greek orthos straight and graph drawing for the projection. However, the name ... main Multiview orthographicprojection With multiview orthographic projections, up to six ... view, top view and right side view. Pictorials main Axonometric projection Within orthographicprojection ... projection to measure along axes . See also multicol commonscat Orthographic projections multicol break Graphical projection Multiview orthographicprojectionOrthographicprojection cartography multicol break Telecentric lens Telephoto lens Orthographicprojection geometry multicol end References ... OrthographicProjection Video and mathematics visualization Category Infographics Category ... es Proyecci n ortogonal ko nl Orthografische projectie ja simple Orthographicprojection sr ... the projection to construct sundials and to compute sun positions. ref name Snyder16 Snyder, John ... more details
Image OrthographicProjection 30W 150E.png thumb 300px Orthographicprojection equatorial aspect of the hemisphere 30W&ndash 150E An orthographicprojection is a map projection of cartography . Like the stereographic projection and gnomonic projection , orthographicprojection is a perspective projection perspective or azimuthal projection , in which the sphere is projected onto a tangent plane or secant plane . The point of perspective for the orthographicprojection is at infinite distance. It depicts ... The orthographicprojection has been known since antiquity, with its cartographic uses being well documented. Hipparchus used the projection in the 2nd century B.C. to determine the places of star rise and star set. In about 14 B.C., Roman engineer Vitruvius Marcus Vitruvius Pollio used the projection ... devised the term orthographic from the Greek orthos straight and graph drawing for the projection ... renewed interest in the orthographicprojection in astronomy and planetary science . Mathematics The formulas for the orthographicprojection are derived using trigonometry . They are written in terms ... math R math and the center Point geometry point and Origin mathematics origin of the projection math lambda 0, , phi 1 math . The equations for the orthographicprojection onto the math x,y math ... the distance math c math from the center of the orthographicprojection. This ensures that points ... grid onto a rectilinear grid in math x, y math . Direct application of the orthographicprojection yields ... projection. Orthographic projections onto cylinders In a wide sense, all projections ... angles and areas close to the poles. An example of an orthographicprojection onto a cylinder is the Lambert cylindrical equal area projection . See also Orthographicprojection References Reflist External links http mathworld.wolfram.com OrthographicProjection.html OrthographicProjection from ... The earliest surviving maps on the projection appear as woodcut drawings of terrestrial globes of 1509 ... more details
a projection is either Third Angle right or First Angle left . With multiview orthographic projections , up to six pictures of an object are produced, with each projection plane parallel to one ... left Gaspard Monge s four quadrants and two planes. Modern orthographicprojection is derived from ... orthographicprojection with three views corresponds more precisely to an octant of 3D space. First angle projection In first angle projection , the object is conceptually located in quadrant I , i.e. .... Multiviews without rotation Orthographic multiview projection is derived from the principles ... direction of space. Orthographicprojection is distinguished by parallel projectors emanating from ... of these principles in third angle projection. Image One thru Nine Step by Step Orthographic Auxillary ... to the third plane of projection. Image Ten through Seventeen Step by Step Orthographic Auxillary Projection.png ... of an orthographic multiview projection and which includes an Auxiliary view showing the true ... drawing s and technical drawing s. Elevations are the most common orthographicprojection for conveying ... www.ul.ie rynnet orthographicprojection fyp webpages home.html Educational website describing the principles ... visualization DEFAULTSORT Multiview OrthographicProjection Category Graphical projections ca Sistema ... according to either of two schemes first angle or third angle projection. In each, the appearances ... in box, with views of object projected in the direction of sight onto walls using first angle projection .... Image first angle unfolded.png Image showing orthographic views located relative to each other in accordance with first angle projection. gallery Third angle projection Image Orthographic example.gif thumb 200px right An example of a multiview orthographic drawing from a US Patent 1913 , showing two views of the same object. Third angle projection is used. In third angle projection , the object ... unfolding.png Image third angle unfolded.png gallery Additional information First angle projection ... more details
Unreferenced date December 2009 In Euclidean geometry , an orthographicprojection is an orthogonal projection . In particular, in 3D it is an affine transformation affine , parallel geometry parallel Projection linear algebra projection of an object onto a perpendicular plane mathematics plane . A simple orthographicprojection linear algebra projection onto the Plane mathematics plane z 0 can be defined by the following matrix math P begin bmatrix 1 & 0 & 0 0 & 1 & 0 0 & 0 & 0 end bmatrix math For each point v v sub x sub , v sub y sub , v sub z sub , the transformed point would be math Pv begin bmatrix 1 & 0 & 0 0 & 1 & 0 0 & 0 & 0 end bmatrix begin bmatrix v x v y v z end bmatrix begin bmatrix v x v y 0 end bmatrix math Often, it is more useful to use homogeneous coordinates , since translation geometry translation cannot be accomplished with a 3 by 3 matrix. The transformation above can be represented for homogeneous coordinates as math P begin bmatrix 1 & 0 & 0 & 0 0 & 1 & 0 & 0 0 & 0 & 0 & 0 0 & 0 & 0 & 1 end bmatrix math For each homogeneous vector v v sub x sub , v sub y sub , v sub z sub , 1 , the transformed vector would be math Pv begin bmatrix 1 & 0 & 0 & 0 0 & 1 & 0 & 0 0 & 0 & 0 & 0 0 & 0 & 0 & 1 end bmatrix begin bmatrix v x v y v z 1 end bmatrix begin bmatrix v x v y 0 1 end bmatrix math In computer graphics , one of the most common matrices used for orthographicprojection linear algebra projection can be defined by a n tuple 6 tuple , left , right , bottom , top , near , far , which defines the Clipping computer graphics clipping planes. These planes form a box with the minimum corner at left , bottom , near and the maximum corner at right , top , far . The box ... end bmatrix math DEFAULTSORT OrthographicProjection Geometry Category Euclidean geometry Category ... is defined by having a minimum corner at 1, 1, 1 and a maximum corner at 1,1,1 . The orthographic transform ... 2 0 & 0 & 0 & 1 end bmatrix math The inversion of the Projection Matrix, which can be used as the Unprojection ... more details
Summary Orthographicprojection over Grise Fjord coord 76 25 34 N 082 54 33 W type airport . Created by User Geo Swan . Licensing cc by sa 2.5 ... more details
Summary Orthographicprojection centred over Sisimiut coord 66 54 N 54 20 W Created by User Geo Swan Licensing self2 GFDL with disclaimers cc by sa 2.5,2.0,1.0 migration relicense ... more details
Summary Information Description Arab League orthographicProjection map Source File Arab League orthographicprojection .svg 150xp Date 23 59, 12 April 2010 UTC Author user Shadi.kabajah User Arab League Arab League User User talk Arab League talk 23 59, 12 April 2010 UTC other versions Licensing PD self date April 2010 ... more details
Move to commons Information Description en 1 Orthographic map of Oceania in its broadest common conception of the Malay Archipelago, Austronesia, and the islands of the tropical Pacific Source Commons, based on File Australia orthographicprojection .svg Date 2009 06 25, updated 2010 10 19 Author User Ch1902 Ch1902 , updated by User Kwamikagami kwami Permission self cc by sa 3.0 GFDL other versions Commons ... more details
Information Description en 1 Orthographic map of Oceania in its narrowest common conception of the non continental islands of the tropical Pacific island Melanesia, Micronesia, and Polynesia less New Zealand Source Commons, based on File Oceania, broad orthographicprojection .svg Date 07 20, 29 December 2010 UTC Author User Kwamikagami kwami User talk Kwamikagami talk Permission self cc by sa 3.0 GFDL other versions ... more details
Summary Information Description Bangladesh orthographicprojection Source I have created this work entirely by myself with photoshop Date October 3rd,2009 Author Shahid Parvez other versions Licensing self cc by sa 3.0 GFDL migration redundant ... more details
Summary Orthographicprojection centred over Gongga Shan. coord 29 45 N 101 50 E . Licensing cc by sa 2.5 Image Orthographicprojection centred over Gongga Shan 2.png thumb left Orthographicprojection centred over Gongga Shan 2 Image Orthographicprojection centred over Gongga Shan 3.png thumb left Orthographicprojection centred over Gongga Shan 3 ... more details
Orthographicprojection centred over Gongga Shan. coord 29 45 N 101 50 E . Licensing cc by sa 2.5 Image Orthographicprojection centred over Gongga Shan 1.png thumb left Orthographicprojection centred over Gongga Shan 1 Image Orthographicprojection centred over Gongga Shan 3.png thumb left Orthographicprojection centred over Gongga Shan 3 ... more details
Orthographicprojection centred over Gongga Shan. coord 29 45 N 101 50 E . Licensing cc by sa 2.5 Image Orthographicprojection centred over Gongga Shan 1.png thumb left Orthographicprojection centred over Gongga Shan 1 Image Orthographicprojection centred over Gongga Shan 2.png thumb left Orthographicprojection centred over Gongga Shan 2 ... more details
int filedesc Information Description en 1 Amazon Cooperation Treaty Organization Source Derivative, Inkscape br http www.aquarius.geomar.de omc make map.html Aquarius.geomar.de br GFDL GMT migration redundant Author User Ssolbergj Ssolbergj Date 2008 11 03 Permission other versions DerivativeVersions LocationBrazil orthographic .svg Category SVG Orthographic projections User Ssolbergj orthographic ImageUpload full pategory Maps with orthographic projection zategory Locator maps of countries of South America int license self cc by 3.0 ... more details
en Orthographicprojection centred over en Gwadar , en Pakistan . GFDL migration relicense cc by sa 2.5 I used this http www.aquarius.geomar.de omc online map tool . User Geo Swan Geo Swan User talk Geo Swan talk 23 34, 29 November 2007 UTC Category Ports and harbours of Pakistan Category Maps of Pakistan ... more details
en Orthographicprojection centred over en Karachi , en Pakistan . GFDL migration relicense cc by sa 2.5 I used this http www.aquarius.geomar.de omc online map tool . User Geo Swan Geo Swan User talk Geo Swan talk 23 34, 29 November 2007 UTC Category Ports and harbours of Pakistan Category Maps of Pakistan ... more details
en Orthographicprojection centred over en Port Qasim , en Pakistan . GFDL migration relicense cc by sa 2.5 I used this http www.aquarius.geomar.de omc online map tool . User Geo Swan Geo Swan User talk Geo Swan talk 23 34, 29 November 2007 UTC Category Ports and harbours of Pakistan Qasim Category Maps of Pakistan Qasim ... more details
Summary Information Description Orthographicprojection centered over Nanisivik, Nunavut, the future site of a base for Canadian patrol vessels. Source I created this work entirely by myself. Date 2008 08 10 Author User Geo Swan Geo Swan User talk Geo Swan talk other versions Licensing self cc by sa 3.0 GFDL ... more details
Summary Information Description Orthographicprojection centred over Cocos Islands, Indian Ocean. Source self made Date May 23, 2005 Author User Geo Swan Geo Swan User talk Geo Swan talk other versions Category Indian Ocean Licensing self cc by sa 3.0,2.5,2.0,1.0 GFDL ... more details
Wiktionarypar orthographicOrthographic may refer to OrthographicprojectionOrthographicprojection geometry Orthographicprojection cartography Orthography disambig ... more details
wiktionary projection projector projective tocright Projection , projector , or projective may refer to The display of an image by devices such as Movie projector Video projector Overhead projector Slide projector Camera obscura Map projection , reduces a three dimensional planet to a flat map geography Graphical projection , the production of a two dimensional image of a three dimensional object Parallel projectionOrthographicprojection , including Plan view Plan , or floor plan view Elevation view Elevation , usually a side view of an exterior Cross section geometry Section , a view of the interior at a particular cutting plane Axonometric projection , including Isometric projection Dimetric projection Trimetric projection Oblique projection , including Cabinet projection Cavalier projection Perspective projection anchor chemistry Chemistry Fischer projection Haworth projection Newman projection Mathematics Projection mathematics , any of several different types of functions, mappings, operations, or transformations 3D projectionProjection relational algebra Projection linear algebra Vector projectionProjection method fluid dynamics Projection set theory Projective geometry is a non Euclidean geometry that involves projective spaces. In another direction, projective module s and projective object s generalize free modules Other Projection alchemy , process in Alchemy Military power projection , the capacity of a state to implement policy by means of force, or the threat thereof, in an area distant from its own territory Psychological projection , or Freudian projection ... or emotions Projection fibers , in neuroscience, white matter fibers that connect the cortex to the lower ... on current statistics and trends See also lookfrom intitle Project disambiguation Projection effect disambiguation disambig de Projektion eo Projekcio fr Projection ko it Proiezione he nl Projectie ja no Projeksjon pl Projekcja pt Proje o ru simple Projection sl Projekcija fi ... more details
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