Cavalier-Cabinet-Central-Projection xy-z(Φ=45°,α=63.43°)

classic oblique projections
In classic oblique projections two coordinate axes are not changed by the mapping and a shearing is applied to the third.[br]The projection direction of the third axis is given by two angles α and Φ [br]The angle Φ is preserved in the projection and corresponds to the angle between the projected y- and x-axis. The angle α controls the ratio:[br][br] Cavalier projection x:y=1:1, α = Φ = 45°[br] Cabinet projection: x:y=2:1, α = 63.435° and Φ=45° [br][br]In classic mathematical theorem the y axis is vertical alined. here we use the school based coordinate system by z axis vertical (the projection was made for plane y=0, but plotted to plane z=0)![br][table][tr][td][img]data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAg0AAAFPCAYAAADOYP1uAAAgAElEQVR4nO29eXRc9Z3m/Q1p5/ThzbHBSTrdPdPvTB/eTmaAEMhGtoZ0ZnqyvEnTkM4kARLWJGTBNpCFPi7CEhCW2TtLg1cWg40LsxhZJcsly1psbSVLtlZbm0tSlWSttjHYojV55o9bt+rWrXurblXdqnur6vmc8xwwWFJhC+nj+3u+v6+AEEIIIcQC4vQLIIQQQkhhQGkghBBCiCUoDYQQQgixBKWBEEIIIZagNBBCCCHEEpQGQgghhFiC0kAIIYQQS1AaCCGEEGIJSgMhhBBCLEFpIIQQQoglKA2EkASCwSCCwSD8fr/TL4UQ4iIoDYSQBILBIEQE5eXlTr8UQoiLoDQQQhLw+/0Q4ZcHQkg8/KpACIlDFQY+ZSCE6KE0EELi0EoDxYEQooXSQAiJogqDNoQQosKvCISQKJQGQkgy+BWBEAIgURg4bkkI0UNpIIQAQMITBkoDIUQPpYEQYngsweMJQogefkUghJgKA6WBEKKFXxEIKXHMnjKoxxPBYNDhV0gIcQuUBkJKHLMnDJQGQogeSgMhJUyyLgOPJwghevgVgZASJpUwUBoIIVr4FYGQEiXVUwaOXBJC9FAaCClRUj1hoDQQQvRQGggpQax0GSgPhBA9lAZCShCrwiAinJ4ghEShNBBSYlh9ysAnDIQQPZQGQkqMdI8l+KSBEKJCaSCkhEiny8AnDoQQPZQGQmymMdDo9EswJBgMpiUL5eXllAZCSByUBkJs5rr7rnP6JZjCqQlCSDZQGgixkYa2Blz7m2sROh5y+qUkxYo8UBoIIXooDYTYSENbA773m+/huarnnH4pSTE6qigvL48eSWiPJ8rLy51+uYQQl0BpIMRGvuv5Lr537/dw62O3Ov1SkmL0pEH/ZEEVC0oDIUSF0kCITYxPjMdJQ3gm7PRLMkX7RIGLqQghVuFXCkJsoqGtISoNNz58I7bUbHH6JZnCbZaEkEzgVwpCbOKZl5/Bdz3fxbX3XosbH74Rz+12Z6/BytGECo8nCCFaKA2E2MR3Pd9VnjTc8z3c8PAN+Mnvf+LKI4p0pYFPIQghKvxqQIgNqEcTUWkouwE/euJHrpSGdPsMvEaaEKJCaSDEBuKk4TeKNNy89mZs2eu+XgP7DISQTOFXC0JsQBWG794TLw23r7/d6ZcWRzpHEwCPJwgh8fCrAbGF0T4/jneWI1wnmD4gODvhx5/eLo3H2uqopVYafvDgDxRpWHe7q44o0pUG9SiDEEIASgOxgeFuP3orBPMtguP7BV07BQO7BeP7BDNNgoXJ4hYI7dGEVhpuKr8JP37qxymPKDY0bMBHPR/FR1Z/BOvr1+f0tfJ+BkJINvArBsmagzsUOTjZJlg4LKjZLKh/QdDmFXTvFAzuFoTqlJ/zbhEKhDpqqZYg9dJwx7N3mL5txaEKbG3dGv3xk/4n4evy5ey1ZtpnYBmSEAJQGkiW9NSVY6JBMN8qeKdDcCog2P+SoHqjwL85IhBbBIFXBN1vCoaqFYGYbVYEohiIPmWISMO1v7kW33/w+7ip/Cbc+titWLlhpekRxdqqtVhbtTb640d3P4pHdz+ak9eZ7tEEEHsyQWkghACUBpIFwT4/jtUoAnD6oODsIcFko2DXM4LKdQLfOsHuDYI9GxV52PusIhDtOwQ9FYKhPYJwveBUf3nBCkTc0YQqDffGS8OK9Svw0r6XDN/+vp33QW6VaM754Tm4f+f9OXmt2UgDIYQAlAaSIcPdfvREegynAoKzh5Xjh7khL4YOKfGtFwx0eDHY6Y0JxKaYQDREBKK3QjCsEYj/OF44ApEgDb9RpOH6316vSMOjt+K239+GLbXGvYaHKx/Gw5UP5+W1ss9ACMkWftUgGdGu6TG8ezhWglxcmDSNqUA8pxxpHHxV0LtLMOIXTDQIzoT9rhcIrTCoJcioNKy5Cbc8egtu+91tuPO5OxGeTTyiqDhUgZdaYk8hVm1bhQ0NG3LyWnk/AyEkW/hVg6RNtMfQEusxTB/yYHI0kFQaDAVivbFAdLwq6IsIxKSLBcJUGh64HjeuuRG3PHoLfvTkj3DH5jtMew3r6tfhI6s/gr+666/wwJsP5OR1ZnI0ob6d9q+EkNKG0kDSItgb32M4E+kxjPd6LQuDNr71gspnlP6DXiBqnxMc2CroeE3QXyk4VqN8rLMT7hAI/dFEMmlYscG812CEvusgtwru23lfxq81G2mw+nMJIcUPpYFYRu0xzBn0GDIRBjVDh7xo2+1RBGKdIhFV6wXVEYHYs1lQ+7yg+WVBZ0QggjWC4xGBWHRIIIxKkFFpuF8jDU/8CD9/5ue46/m7Mvo4D7z5AH7p/WVWrzWbowkeYxBCVPjVgFjGqMdwYjg7YUglEG0+jyIQGwV+9QnE84KWlwWHXhcc8QmCewVT+yMCMZU/gYh7yqAZt7z23mtx3QPXKdLwyC344RM/xE//+FPTXkMy7t5xty3TFHph4LprQkgmUBqIJbQ9hrc1PQY7hcFMIBYXJjHY6TUUiLoXBC3bBYffEBytEozWCqYO5F4g4q6O1o1bXntfRBoejknDbb+7DXc8e0daRxQrtq7AU/6nsn6tmR5NqG+r/SshpLShNJCUBHv9OOaP7zEcbxS8PW29+GhnBju9qFwncQLh36QIRGtEIAaqBGO1uduDkdBn0IxbXnffdbjufkUabn7k5qg0rNq4yrI02NlpyEYagsEgOw2EkCiUBpKU4W4/et6M9RgWbOox2JHZUCBRIDYrqYtcY52rPRjaq6P1JUhDafi327Byw0rc9fxdmJidsOF3xjrZjlqy00AIUeFXA5IUtcdwQu0xtCr9AaeFQZtogTJyC2XVBt011gZ7MGaz3IOhf8qgl4br778+Jg2PK9Lws6d/hjufuxMt/S02/y4lh30GQohdUBqIKd0GPYZQnbuEQY32Fkqja6yT7cE4meY11kZHE0bScMPDN+DmtYo0/PjffqxIw7N34qU6672GbMnmaAKILari8QQhBKA0EBP0PYazkR5DKMP7GJwUiLhbKDcmXmOdsAcjxQinYZ9BM2553X3X4foHrscNZfHS8NM//hR3bL4Dv9jyi7wdUdghDXw6QQhRoTSQBIa7/eh2aY8hE4FQ/z7VHoyDmj0YE/WCt0z2YCQ8ZdBLw/3x0nDr47cq0vCHn2LlxpW464X89RrsuDqa0kAIUaE0kAQCrwhmDsT3GOy+j8HpZLoHw2jUMu6OhvtMpOEpRRpWrF+Bu56/C1vrtubl95J9BkKInVAaSBzddeUI63oM4XrB4Zbikga9QFQaXGO99znBAd0ejIotVxpLg25y4voHrscPHvoBblqrrMdWpeH2dbfjzufuxC9fzO6GRytkezRBCCF6KA0kSrDHjxG1x9Ae6zE4dR9DPqN2INQ9GFVagXhW2YPRtE3w4CPfTFmCjJOG8pg0/OQPP8HPn/k57ng2P70Gu6SBGzEJISr8SkAAxHoMs82F32PIVh7M9mD4N4nhUwajyQlTaXj651i1aRV+8cIvcv57atcqbEoDIUSFXwkIAKXHMF3kPYZsBGKw04unHjE+mjCUht/GS8OPnvoRfvL7iDRsXIWWvtzf1WBnn0EdvSSElDaUBqL0GOpjPYa32pUeg9PftN2YuqYKS+OW3//t9+Ol4cmYNKzYsCLn0sA+AyEkF1AaSpxgjx+Du0uzx2CXOBiNW2ql4ZZHb0mQhlxjJA2ZPi0oLy/n8QQhBACloaQZ6mKPwQ5xMBq3jErDmpg0PL7hehx44zO278Ewwq4+A0BpIITE4FeCEsaoxzDTxGOJdOXhe/d8L24tdlQaHlRGLh/89+sNr7EejFxjPdssaV1jnQr1Fke772dgr4EQQmkoUcb7/YY9hq4ivo8hVzErR95QdgN++MQP8eAzNyTdg9GTxR4MI3LVZ6A0EEIoDSXIMZMeQ7iPwpATaVh3A3zrJfEWSpM9GMNp7MEwws4+AxA7nqA0EEIoDSXGUJcfXTtjPYaz7DHkXBqe8z2d8DbJ9mA0vmh9D4YRdvYZAEoDISQGpaHEaPPGegxnDwlO8D4GR6TBkkBo9mD0GezBMCJXfQZCCAEoDSWFWY/B6W+6hZ5spUGNeo210R6M2ucEB7YKOl4T9FUKjtUIJhsTBYL3MxBCcgmloUQ41uPHQKTH8JbaY9jP+xjcJA2LC8otlNE9GOuS78HofE3QHxGI442CsxN+7PaW29pnAGIiQvkghFAaSgCzHsM8jyVcJw16gdDuwWjzeZQ9GBuVPRj+zYLa5wXNLws6Xxcc8SV2Gey4X0GVBnYaCCGUhhIg2mNoFSxEegxzzTyWcLs0GAnE4sIkBju9CQJRs1mw7bFEYbjnJ8oTiMUpPiUghGQPpaHIGe/3I1wnmGOPoaClwSyDnV5URo4w1tyZKA3r7hccrRKM1irieHYid7dQEkKKH0pDEZPQYzis9Bgm+nksUSzSoGY2FMBzT3sSpOHFRwR1LwhavYKunYKB3YLxiEBYvcZanchgp4EQQmkoUox6DLNNgnC7x/FvssUWN0jD4sKkYZ8heoSxWUn9C4K2iEAM7hZLezBUaeDoJiGE0lCktHkFU7oeA+9jKF5pGB4IJAjDTVcrBUp1CmP3hphA5GsPBiGkuKA0FCFjJj2GnjZKQ7FKQ7XPmyAN1T5v3AjnrmfE8BrrmmcT92BEr7GmQBBCNFAaioxjPX4MVCX2GGYHKQylJg3DA/F3cKgCsbhgcAtlkj0YbV7eLEkIUaA0FBFDXX4cfiPWY1g4rPw972Mofmkw6jNYfdtU11jvekZ5f7++RbnGOp09GISQ4oLSUES0GvQY5ls4Xlns0mDUZ6j2ZSaKAx1ew2usVYHoSGMPBiGk+KA0FAlj/X6EeB9DSUqDWZ8h0/cXvcY63T0YExQIQoodSkMRcKzHj6O6HsMUewwlIw1ryhLvZ9D3GTKVB/UaaxHBjf9svAej2WQPxiIFgpCig9JQ4Jj1GCZ4H0Pe4rQ0ZNNnSPdj+NaL6TXW6h6MQ5E9GMG9SgmXAkFI8UBpKHBatxvcx9DGY4l8xklpsLPPYOVj6f+ZmUDUPS9oiQjEUZ9gdK/y9It7MAgpbCgNBUxcj+FgrMfQy/sY8honpcHuPkM20e7BiG7i3BS5xnq74PAbyh6MMe7BIKRgoTQUKNEeQxN7DE7HSWnIVZ/B7ONY+bmzoUD0Jkr9NdYJezAsXGNNCHEPlIYCZH4qiMNvKOOUvI/B+TgpDfnoMywupCcNiwuaCYx1YigQNUZ7MOooEIS4HUpDAdK6XXmqcKJVcPaQ0mE4MUJhcCpOSUM++wzqx0v3bbTXWHMPBiGFD6WhwDDqMUzwPgZH45Q0ONFnyOboQysQZtdYq3sw2rkHgxBXQmkoII71+HHUxx6D2+KUNOSrz6B+rMWF7KTBLKbXWGv2YPRG9mBEBYIjnIQ4AqWhQJifCuJQpMdwUtNjmDzI+xicjlPSkK8+w+JCTFByJSVqUu3BOPiqoJfXWBPiGJSGAqHFqMcQ4LGEG+KENDjRZ8illOijrvK2ugdjkgJBSF6gNBQA+h7DOx3Kn7L6AjyWcEOckAY33c+Qq8SVKJ9RCpTJ9mD0cw8GITmH0uByjvX4ccSnjKK91a48ZSjFHkO1b9jx12AWJ6Qhn32GxYVYl8EpMdHuwahcJ7FbKCMCsWdT4h6MYGQPxhleY02IbVAaXMz8VBCHXleeMJRyj2F4YAgi+1HtO+74azGKE9KQzz7D4kLsyYYbnmaoArG4YH6NtdEeDF5jTUj2UBpcTMvLysIfbY/h5IgXE8HcltHcFkUaKiHSjWrflOOvR598S0O++wxq8tlpyCSmezBeELRsFxyKXGM9Wqvsa6FAEJI+lAaXMtbvx7i2x9BZuj2GmDTUQCToOnHItzSUQp8h23APBiG5gdLgQthj0H+T7NRIQztEplDtm3b8danJtzQY9Rly/d/odKchkyS7xlrdg9HGPRiEpAWlwWXMaXsMbdwroXyj6oTILoj4IdIAkSMQmcaaslnHX9viQv6lId99hsWF2JGIeslToWQ2HDC8xrpKf411RCC6I3swQpE9GO9SIAiJg9LgMlpeVhrfao/hZJvgZLu7z5JzHUUaKiCyByL1EGmByChEZrCmbM7x15dPaXDyaKIQpUEb7Qjnrmck4Rproz0YQ5E9GCd5jTUhACgNrmK0z7jH4PQXW6djLA29EJmCyCzWlM1jeMC544pSkYZiiioQiwsGt1BujF1jXR+5xrqnQjDEa6wJoTS4hRGjHsOB0u0xaBOThmqI1EGkGSIdEDkKkWmIzEHkFIYHZhx5ffmUBif6DIsLudk54cakuwfjrf5yXiJFSgpKgwuYmwqiU9djmGsWHO8o3EfBdmZNWUNEGnZDZB9EmiByECI9EAlBZAYi8xB5yxFxyKc0ONFnWFwo3E5DNhno8Mat8uYeDEIoDa6g2aDHMNUkJXcfg1mSS8MgRI5DZBYiJyFyGtW+E3l9ffmSBqePJkpNGhYXJuM6EGZ7MA5wDwYpISgNDjPa58f4vsQeQ387jyXUxKShCiK1EDkQGb3shsgARMYj/QblmELkbVT7Tubt9ZWKNJRyUu7BeFa5xrppW+IejLPcg0GKCEqDg4z0+NFfmdhjmGOPIS6KMFRAxAeRvRDZD5EARLoivYYgRIYgcix6TCFyJm/ikC9pcKrPwMRHuwcj7hZKdQ+G5hrrztcF/ZFrrI9HBIJ7MEghQ2lwiLmpIDpfS+wxlPJ9DGaJSUOlThoCkR9X6NIDkT6IHM+LOORLGpzqM+g/vtOfD26KOoGxuJB8D0YL92CQIoHS4BBqj2Fe22Po9LDHYJB4aaiJ9BqqDWTBONW+zpy+vnxIgxuOJigN1jPY6UVblfkejMPcg0EKFEqDA2h7DKd5H0PKxARgV0QcrMmCNrl8faUiDUxmSbjG2mAPxgD3YJACgdKQZxJ6DIeVLxTsMRhHWVaVviTk82lDPqSBfYbCjf4aa+7BIIUMpSGPRHsMzfE9hqnO0hpjSyfWpKEWIociXYbmvD9tyIc0ON1nWFyIiYvTnxOFGst7MLYI2l6J34Mxyz0YxCVQGvJIf0N5Yo+hmV+EkyW5NOyCcq20esnTHETeifw1f08bci0NbjmaoDTYF+0Ip9E11tyDQdwKpSFPjPb5MbpXebKg7TEc4X0MSZP6SUMdRDohMgzlSum3IPIuRFrz9rShVKSByX2S7cFo4B4M4gIoDXlgpJs9hkwT2zthFn9EEPohMgHlnoYzEJnH+899Becv3RbNh5ZvyclrzLU0uK3PUCp7KJxOqj0YBzV7MCa4B4PkCUpDjpmbCqLjNcGstsfQwh6D1Wil4X1LXo8mfgyzESKHoVzyNAuR0xD5Pzh/6Wv40PIt0VT7WnPyGnMtDXphcOoqZ1VeKA35T/Qa6yR7MPq4B4PkAUpDjunT9Bje6eB9DOlmeOBo9CmBNjFxeBPKBU/tUK6UPg5lB8UC3rdkNO5tcvUacykNbjqaoDQ4F/011qZ7MLYq11hH92A0UiCIvVAacshonx9BXY9hskFwlD2GtLKmrCpBGs5fuk3ztKEKyhKrHih7KNRC5J9y/pRhcaF0pIFxR4z2YFSZ7MHo1OzB4DXWxA4oDTlipNuPvl3sMdiR4YGjCdIQ/7RBLUR2aAqRpyDyLs5fuq+gpcENo5aJvx980uCWqHswFhcmE/Zg+DcpUxjaPRjqNdbH91MgSGZQGnJAQo+hS+kxcK9E5kn9tGGPYSHyfUtmcioMiwv5lQYnV1OrTz34pMP9sboHY5R7MEiaUBpyQF9DOSb1PYYW5/+EWMgxe9pgXIg8FleIrPZ15fS15Uoa3HY0QWkozAx2ehOusTbbgzHNPRgkBZQGm9H3GM50KD0Gp79wFEOMnjYkFiIDCYXINWW53XRZKtLAFG6sXGOt3YMxHhEIXmNN9FAabIQ9htxneOAoqn2tUYGIP6LwGRQi34bIn3L6mnIlDW7sMzCFG6NrrI0Eop57MEgSKA02MTcVRMeriT0Gbq/MbYYHjmJNWYNBIXIorhA5PDCXs9eQL2lwss+g/FoHXPE6mOyTzh4M9Rrrwcg11rPNwmusSxhKg0301et6DAHB9CEPJnkfQ84Tf9X0Hoi0JBQi15S9m7OPnwtpcOPRBKWhOKOOcC4umF9jrRWIHu7BKGkoDTZg1mMYOMhjiXwlfomVUSFyEcMDozn52KUiDYsLHLcspVjdgzHMPRglBaUhS7Q9hlMB9hicSuyIQluIPKopRJ7FmrJTOfnYuZAG9hkYN2Wgw2t8jfWzgsYXdXswGrgHo5ihNGTB3FQQB19Vdt3zPgZnE39E4YPIgUghciznhch8SIMbjgSGBwJYU+ZxxWth8h+1A8E9GKUNpSELeuvLMdkQ6zGcivQYnP6fu1RjXoicymkh0m5pcPPRhFsEhnEuVvZg1Gr3YESusZ5sFJyZoEAUOpSGDBnt8+OYvsfQKDg9zTNfp2JciOzLeSGyVKRB+TXm5zcTi3qNtW+9YLDTi6FOr+EejGbuwSgaKA0ZMNLtRy97DK5MfCGywaAQ+R+2FyLtlgb2GZhCjDqBsbhgfI0192AUB5SGNFF7DDO6HsNkI7+wuyHJC5EnIoXIt2z9mLmWBjcdB7jpqQdTGDHbg1HHPRgFCaUhTQx7DK0UBrfEuBDZHSlEzuakEGmnNLj5aGJxYZJPPpisknAL5SYl2mus9XsweAulu6A0pMFonx/HapQb0U4fFJzpVJ4wjPe454s6oy9E7st5ITLX0uC2HoGbJIYprFi5xrruBUGr9hrrWsE0r7F2DZQGi4x0+9FbYdBjGOIXULfFvBAZ1hQiF2z7eHZKg5N9hrlHN2P4v/4vDH7o7zH6pRvj/l3o6hUY/PAVGPzwlQh/566U7yt4+bUIXXV73D8b/9ptGPzgF6NR//38H7Zi+IKvYviCr2H+j9sc//xhcp9M9mAMcg+GK6A0WOTgDk2P4bBgvkVwgvcxuDaJhchDmkLkW5FC5JgtH8suaVBHGp3qM4Sv+3X078e+dBMmblyNxYVJTN56L0avuCH6Gkf//gc4/pMHTN/P1B1rMfSXVyZIQ+hbqzB9z+8Sfn7o6hUY+/LNGPvyzQhdvcLxzx0mv9EKxGwoEHcLJfdguA9KgwV668sxYXAfw+Soux4bM7HEFyJrTAqRp235WHZJQ7p9htBVt2PoL6/E6BU3YPzrt+H4zx/K+L9hatUahL/3Swu/rh6Erl6R9Jt76JqVptJg9PPn/7gNwxd8DcMXfBXzf9jq+OcO41y0EximezCeTdyDEb3GmgKRcygNKQia9Bh4H4O7Y16IHLW9EJlLaTDrM0yvfgrjX78NU3esxbFLrsHIf/tmws8JXXV73HGA/lgg7ud+axVGLroKIxddhcEPX2H6DV590jD9r08a/vupO9Yi9K1VCccT06ufwshHv4Ghv/qScsRx7a8c/xxhCifcg+EeKA1JGI70GOZbND2GJvYYCiWJhciDOSlE2iUN6fQZQt++M/qNffwbP8Po567N6r8hdNXtGP7br0T/pB/+zl2Y/tXj8T/nX+7A4Ae/iGOX/YupzISuWYmpVWsQuur2OGkIX/drjH3ppuiPJ25cjalfPOr45whTeLFyjXXvLsGwn3swcgGlIQntmh7Du+wxFFzinzbsNihEvmNLIdIOaUi3z6D9phy66naMf/NnWf03hK5egdA/x44cQt9aZfi0odrnxegXvh/Xf1CjPmXQvz7Dj3fNSoSuWen45whTeNFeY73L5BprVSA6NHswJrkHwxYoDSb01EV6DC2aHkMb59MLLcaFyBFdIXI8q49hhzSk3Wf49p3Rb7pmTxrSOZ6YvOU3mLj+7tjbmkhDsk6D0cczE4fQt+9E6Nt3Ov75wRR29HswfCn2YPRzD0bWUBoMCPbG9xjOHlI+yd5mj6HgkliIbIsUIic1hci3s/oYuZKGZPczzNz3R4x/82eYWvGw0kX46Dey+m+Yf/rluFHK8HW/xsx9f8TiwiQmbvJg/P//CRYXlCcioWtWYuqOtUnfn/5Jw8RNnrgfT61ag7nyjY5/fjDFE3UPxuKC7hZK7sGwFUqDjuFuP3p0PYYZ9hgKNvFHFJU5KUTaIQ2Z3M8Quup2DH74Chy77F8wesUNWU1PLC5MYvruJzD0n76Mob+8MjpuqWb867dh8C+uUP7dTZ6412BYrDT45+Nf/bHyPv76HzB1e5njnxtMacTsGmt1D8YhzR4MXmOdGkqDDqMew/H9PJbIVzZsAD76UeAjHwHWr4ct7zP+aYNaiBy0rRCZrTQY9Rnuet9/wnjZQzjuexWnBg46/vuiRj0y4a2QTCFmsNOLymfEeA/GdkUgjvqUa6wpEMZQGjRoewxva+5jONzML5D5SEUFsHVrTBSefBLw+bIXh8RCZLOthchspcHoaOKpc/8OzcsvR/sHPoveD3weAx/8IiZ9rzr+e6S+VkoDU8jR3kSZag/GGPdgxEFpiBDs9eOYX3MfwyHlrCvUyy+O+cratcDatTFJePRR4NFH7XnaEJOGCojUawqRM1kXInMhDU/+Px/B9mWX4PXzLkXV+Z9A3fmfRuADn8WM7zXHf5+4sIop9Fi9xjphDwavsaY0AJEew5vKiutTAeWaaPYY8p/77gNEYjnnHOD++3NxRKEWIo/oCpHvZPS+s5UGoz7DmckQOr3bcdC7HeuXXogXl30MO8+7FLXnfwr9H/wC5l10ZMEwhRwrAlFjtAejTvk+8W6JCQSlAbEewwnex+BoHn4YePhheyRBn8RC5H6IdCUUIocHjqX9vrORBqM+Q6V3G85MhuLS6d2OdUsvxNZlH4Pv/E+gdfnleMcBcVAnOty2eZNh7Ig6wrm4MMk9GCaUvDSY9Ric/uQtxVRUAC+9FJOGVauADRvsk4j4pw21BoXIBVT70i9EZiMNRkcTRtJwZjKEUEZ539YAACAASURBVHsbqu65F5uWXYSd512GZgfEQZWcfC7SYhink2oPRvuO0tmDUdLSYNZj4H0MzmXjhtP4+CWnccHfnsbDD9mzUEqNcSGyFyIhiMxlXIjMRhrWlHkSpOFooNVQGtRU3XMvNi69CG+cdyn6yx7M++8RpYEp5Qx0eI2vsdbswegt4j0YJSsN7DEUTl54dhKPPxL78eOPTOL5zZm9r/h9FPUQ6cy6EJmNNJj1GVKl6p57sWnpRXjzvMsw6IA4MEwpJ+Ea6xR7MEYiezCK4RrrkpWGwCu6HkOrYOoAW+FuzWNrJ+GrmES1bxJPPJr5+6n2dWqOKPy2FCIzlQarfQazo4oNSy/E88suRvX5n8TbeTqmYJeBYWIpxT0YJSkN3QY9hnAdhcHN+f2Tijg8smYS//Z45u/HvBAZ1BQi/09ahchMpSGdPoNR1HLk9mWXoCdPTxvYaWAY4+j3YAx1eotyD0bJSUOw148RtcfQruyVON4oCPXxWMLN2btnEj++dRI33zCJ3ZXZva/EQmS7phB5Mu1CZKbSkEmfweiYYsPSC/HmeZfhdJ6eNlAaGCZ51AmMxQXjPRh7NifuwQhG9mCccfkejJKShuFuP7rfFMw1s8dQiPnXX03irlXZv5/4pw1VWRciM5WGTPsMRscUW5ZdjC52GxjG1Um2B6OlQPZglJQ0BF5RrgPV9hh4H0Ph5NHySWxab8/7Mi5EDusKkSFL7ysTacimz6DP7nvuxfrI04Z8dBvYa2CY7FO5Toz3YLwQ2YMRucZ6tFbp27lFIEpGGrrryhGu1/UY6gVdLZSGQsjjj0zipz+27/3FCpEVkUJkq0Eh8oyl95WJNGTbZ9B3GzYsvRDbll2C3hw9bRgeCKDa58WaMg/3TjCMDVH7D1b3YAy4ZA9GSUhDsMe4x8D7GEo3qQuRpyOFyGDK95WJNNjRZ9AfUWxcehGqzv+kjb9GAQwPBOJeK7sMDGNv0tmD0eaCPRhFLw1DXUqPYZY9BkYX40LkgK4QOZ/y/WQiDXb0GfRHFOuWXojXzrs060KkXhS04VMGhsldtAKhvca6Sn+NdUQguiN7MEJ53INR9NJg1GOYaeJ4JWNUiGzKqBCZrjTY2WfQP214YdnFGR1RJBMFCgPD5D/aCQyja6yN9mAMRfZgnMzhNdZFLQ3j/f64HsNb7UqPwelPBsY9MS9ETlsuRKYrDXb2GYyOKPZYPKKwIgpq3reE/98wjBtitgdjr3YPRoVgKEfXWBetNBzr8WNwd2KPIcz7GBhNjAuR/ZpC5JmUTxvSlQY7+wzabFx6IdYtvRBvnHcZzpgcUaiiYFUW+JSBYdwb02usDfZgTNQL3uovz/oSqaKUhqEuP7p3xnoMZ9ljYJIkvhDZqClEzlgqRKYrDXb3GbS9hg1LL8Qr533ctNeQjihQGBjG3TG8xjrHezCKUhravLEew9lDSo9hlj0GxiTmhcjj0ULkmrITpm+fjjTkos+gH718YdnF6DPoNRgdi1gJ72VgGPfH6h6MA1nuwSg6aTDrMXS38k9LjHGMC5E9cYVIkT+Zvn060pCLPoO+17Bp6UU4VPbbhNfJpwwMUxpRBWJxYRKDHd7EPRjPKtdYN2musVb3YJxNcY11UUnDsR4/BiI9hrfUHsN+9hiY1IkvRNYZFCLfxfCA8T6KdKTBqEtghzCo0rBx6YVYv/RCtOukYXgggPefK3j/udaF4f3n8ukcwxRT9Hsw/OoejOcFzS8LAjuUpw+z3eWm32eLRhqGuvzoMugxzPOaaMZC4p82aAuRExCZT1qITEcactVn0Jch3zzvsoTXuabMg/OX8ikDwzCKQKjXWO/ZpBxXzDYpR/uzTUpp0oiikYZoj6FVecJwgnslmDSTWIg8jMQbIkcT3s6qNOTyaEJbhnxm6X/HjvM+njBBkazT8L4lFAaGKbXMhQPo2ql875w+EPmDdovy96O1gndOJF4UVRTSwPsYGDsSX4jca1KIPJnwdm6Thg1LL8SO8z4et7wqmTAMDwTwoeWCDy2X6BGG078XDMPkLrPhAAYbPZjSycJMk2Bsn3LLZE+F4NRsEUqDWY+BeyWYdGNeiBxPWoi0Kg257DPopeHlZZdExy7N7mR43xLB+UslKgxq+JSBYYozM6EA+us9mGxQNmeqsjDbLBivU26U7N0laNsuGOkxLkMWtDQY9RhmmwThdi7VYTJLYiGyQ1OIPGVYiLQqDbnuM5yZjI1dbll2MTp9ryQ9jtDLghqnfw8YhrE/4z1ejO+LPVGYbRbMtShP5Yf3CPoqlSLkQX85ZqfM91cUtDRoewwLkR7DXAu/6DGZJ/5pwx6TQuS7cW9jRRrycTShlYbnl12M35/7EdOpiDVlHkNh4FMGhimujHZ7EawRzDVHSo7NijhMNCiTEkerlIufOveWYy6JLKgUrDSM9/sRrlMkQdtj6GnjFz0muxgXIo+ZFiLdKg3/du7fGQqDVgzU9ddqnP61ZxjGnsxPBBBu98RNRMy3CKb2C4I1giM+waHXBYdrrcmCSkFKw7EePwaqND2Gw0qPYaKfwsBkn8RCZMCgEHkq+vOtSEM++gxaaXh22cV4SicNFIPSywmfF+/w97ykMhcOYLzNEz8R0RqZiNirPFno3qnsphjqKoFrpIe6/Oh6Q9djaGaPgbEv8UcUPoNC5NtxhUgr0pCPPsNDntX48/ecAxHBv/zZB6IfZ00Z/98oxQz6vDgggpMimBPBjAjmyzyYK/PglM+Lkz4vpaKIMhsOYHC/J2F8cqZJMFYrGIhMRDRvEwx3Z760quCkodWrtD61PQbex8DYHeNC5JBhITKVNNxQdkNOjyaOBlqx7D3vjQqDmn/98/8C//mfxITvVdOtl0zxZtDnRYUIQiJ4S5O3Izmt+WcnImIxX+bBbJkHJyNS8c5AgFLh8syEAjhS78Fko8FExL7YRETLdkFgTzlmj1s/ijCioKRhjD0GJk9JLES2mBYinZSGSu82LHvPe/Fn8p6Ej7H9nnuweelF2LzsIniXfRzjvlcx63vN8V9bJj9RpWF/RApO6nJKl7d0UaXilPbtyjx4JyIUlArnM97jRUg/EdEsCNVpJiJeST0RkQ4FIw3Hevw4qusxTO0XzA5SGJjcJCYNu0wKkYsYHhjNSBrsEob3v+ecBGFY8p5zcDTQirOTIZydDOGwdzs2nX8hNi67CFuXfQwNyz+NGcpD0aelzIMKEVREniKomdflhC7pyIX645ORtz1d5sGCz4u3efSR0xhNRMwZTUTUpFdytEJBSMNQlx+HNT2GhUiPgXslmFzGuBB5VFOIPIs1ZacckYaHPKvxft1xhIjgz885B2We1VFh0EaVh81LL8KLEXlI58lD6KrbEbrqdtt/nYOXX5vwfse/dhsGP/jFaNR/P/+HrRi+4KsYvuBrmP/jNsc/R9wcrTSMRDoN2szqMie5kwv1358u8+Csz4sFnxenfV6coVSklehEhG58crJR2VKZ6UREOhSENLRuN+gxtPE+Bia3SSxEHogUIsciTxuUQmS60mDH0USld1viOOU578XDJsJgJA+bll6El5Z9DL1lD+JEEnmYvud3GP7br0S/gQ/9v/+I6bufsOXXeOqOtRj6yysTpCH0rVWYvud3CT8/dPUKjH35Zox9+WaErl7h+OeI0zk1EMBbkUz7vJjxeREu82CqzIOwCCZF0CCCYREcj2RKl2ldrMiF0b+b1r2/SYOMiWBwiWCgzMOnEGkkOhHRZD4R0bVTUL9FMJ8jWVBxvTSM9fsRUnsMB7lXgslv4guR+zSFyKloITLf0rDpnnsShGHZe98Ln3dbSmEwkod1Sy/EzvMuw6Tv1YT//um7n0Dw09/B3GPPYvybP8P4P/0c879/CWP/4xbMlW/M+tc3dM1KU2kw+vnzf9yG4Qu+huELvor5P2x1/PMj1zETgukyDyYMRGBCBGFRyo8hEYyLoF0E9ZF/p436jVz/z8MGGdNkVJegLsd0ObJEcPhcwdEyD04MBHCCsmA5ZhMR09qJiDcFTVlORKSDq6Uh2mNoYo+BcSbGhci+uEJkutKQzZTEQ57Vce/rIc9qLP+zJWkLQ4I8LFOOLerO/zTmNE8dQt9ahfFv/kz5e83xROialQh/5664X6vQVbfHHSnojxb0mbpjLULfWpVwPDG9+imMfPQbGPqrL2Hww1cifO2vHP88yEXUpwSnBwKY8XkRMhAC7RMBIyEY130j137jHomkRwR1Bt/wU32zH9FlWJchTQY16Vsi6DxX0LJU0LBc0FXmwTxFIa2oExHHk01EVEQmIqqNV1jnCtdKw6BJj2HiIGfOmfwmvhDZAJFDcYXIdKThIc/qjIVB/3ThochRxICm9JhNOr3bsS6yIXMq8tQh9M8rEPpn5RggThquXpH18UDompWYWrUmoSsRvu7XGPvSTdEfT9y4GlO/eNTxz4N0kqkQqFJgVQi038DVb9oDIjgayRER9Itgn8k3e/03/AFdjupyRJd+EXQvEXQtETRHJKF+ueAwRSHjjPd4EapTjh9STkRkOT6ZCa6VhtbtylOFE63K5soTbewxMM4keSHyRFrSkM7RhPpkQX//gvp+7BAFs6cOzy+7GP1lDyL8nbuiRwXab+7ha3+FievvzvjXVH3KoH+/RgldsxKha1Y6/nmgRi8E42UeTGQoBKoUpCME6jdz9Zt2X+RpQrcIukRwWASdIugQwUFRjicqDL7Z92veXpteXXp0ObRE0KmThDqKQtYZ7fZidK9yFD+tWSg1Ua9MRBypEhzckZuJiHRwpTQY9Rgm6gW9AR5LMPmPcSGyGyKjEJnNiTSYXdiUS2HQRlmxfRHmHt2MsX+8FfO/fwnj//RzjP/Tz7G4oDxpmHvi+bhfp3SOJ4x+rpk4hL59J0LfvjMvv9d6IdAXC42KhFohUKXATAhUKdD/qT+ZEPTphOCQTggCImgVQYsImkXQJMrdDI2ilCDrI9LQrUuXJod1OaTJwSWC9iWCpqWCA0tjklC3XLBvuaCTspBVjCYi5loEkw2xiYjO1wWHLC6UyjWukwb2GBg3JlkhMh1pyPbCpqM2HUVYPa54ZumFmP7V4xj6m/8Zm574L/+I6d/83rZfW/2ThombPHE/nlq1xpbS5eKCebFQnTSwUizUFwL1QqBKgZkQHNUJQY9OCDp1QtCmE4IDOiGoE0GtCPaKoEYEfhHsEcFuEVQtEfiWCHZJ7OmDNgc1adekbYkiCKok1GskoZaiYEvmwgGE2jyY0U9E7BcE8zwRkQ6ukob5qSAOv6EUPk7yPgbGRYl/2lCtKUSGLUuDlT6D1Qub8pVD3u3496UXoub8T+bsngaj9zv+1R9j8C+uwNBf/wOmbi+z9H7eylGxMJUQGPUItELQrROCDp0QtOqEYL9OCPaZCEGgzIO2SCrPFVQuVbJrqcC3PD6V5yrvW/142rSIoHmJYP9SQaOJJFAU7Et0IqLJfCKiO88TEengKmloMeoxjFAYGHfEuBA5YlkaUh1NZHJhU77E4emlF2Lf+Z/COw7tsHBbsVDfI9AKwUGdELTohKBRJwS1OiGoltgTgrYyDwZ9Xgz4vJgdCGDG5Ju2XhKMUh95DQdEsH+JoPHc5JKwd7mgZrngYJkHc5SFrDMbCuBogzIRMW0wETGoTkS8LBhxoSyouEYa9D2GdzqUKzGd/o1mGDXxhcgaiLRB5Kht0pDNhU35EId1Sy9E0/LP2L78qhCLhVohaNYJQYNOCPbqhGC3KEJQuUR5AqA+Jdhl8JTA6q/hUEQq1Kj/vK3ME31ftecKGnTlxX0aUVAlgaJgf8Z7vAjXCebbYscQcRMRuwRtrwjabVgolWtcIQ3Hevw44tP0GA6xx8C4L/FHFJXRQqRVacjHhU257jhsWnYxBsoetPxrpheCWZ8XE7oeQb6Lhb0phMBKsVArBDU6IVCPDVojTwnUJwTapwSpngqoxw7Zfs7ODgRi0pBEEvzLBe0UBdtjNhERViciKpWJiA6HJyLSwXFpmJ8K4tDriT2GSd7HwLgwiYXIg5akwazPkKsLm3KV3ffci+3LLonurEhVLExXCIx6BKmEQF8sTDVpkEmxUBUC9dgg+pRA1yOw+nmkSsGQzxv3lMDuz1etNOzViIJ/uWDPckE1ZSEnmZ8IYOKgbkdEa2wior9S0PmaeyYi0sFxaWh5WXBc12M4GeCxBOPOxD9t2A2RZkvSYHQ0kY8Lm7LJfKAVJwKtOO7dhinvNoQ8q3Hcsxq9f3a+5SuM7SgWppo0yEWxcFDzjVx9QmClN+D056dR1COKPRSFnGcuHEAokHoiomtfuasmItLBUWkY6/dj3KDH0Mf7GBgXJyYNFRBpSEsanLiwKZkQqFIwHhGCKc9qW68wtjJpoO8R6IXAzmKh+oRgl6ZHYPX3XXtsoD4lMOoRuC2zAwG0lXkQoCjk7tc4HMDQAQ+m9DsiDsRPRBzYJhjucm/J0QqOSYPaY5hhj4EpsOgLkVakIZ8XNumFYMyzGpMWhCBfxcJUQpBJsVD7hEB9SmA0elgoTwcSsvkxLH76/8Pipy7A4qbCulK7mGM2ETHTFD8R0ezyiYh0cEQa5iI9hjn2GJgCjL4QmUoaNr/x77Zd2DQfaI07NhjzrEZIIwT6HkG6QmDUI0glBKmKhamEIFWxsEo3aWBULDSKUbGwkJ4QRFOxBYvbn479+He/xaLvJedfV4mnf58H4XrNQinNRMSQOhHhLYyJiHRwRBr0PYaTbYKTI15MBAvgf2CGWYh/2mDlSYPZhU0fXLLEVAi0PQKnJg3suMJYLwTaYqF+0iDZBUXpPhkoCCGwkid+o0T98ZP3KXH6dZVoxrq9GK1V/tA7YzIR0b5D0OEvvJKjFfIuDaN9uh5Dp9Jj6GePgSmgaJ82WB25XCWCO0SwSQTPiaDxPeck9AiK8QrjyiViWCw0SrLxQ3XSwOnf+7yn7BdYXC6xfOAcLD78S+dfV4llfiKAYb8U5UREOuRVGkbYY2CKKFal4emyGwr6CmOjYqH6hMBs9DCTpwMFd2yQrzy2WonTr6NEo5+ImNVPRPgEh99QJiKKWRZU8iYNcT2GNu6VYAo/1b5OXHDBmpTS8NQvvu3qK4ytFguNnhBYuaDIjkuKSjoVW7D48r/HfvyrH2Fx82POv64iT7KJiNFawUBVZCJiq2CowCci0iFv0tD8suB4Y3yPYaqpQJrLDGOQ4YEhXHrppfjKDV/B1SuvNpWGa+++1lVXGOuLhUZXGFv9NSjIYmEhZuMjyuTEf/sLLK75lfOvp4gzGwpgoNGD4/tNJiJ2C3qKbCIiHfIiDaN9fozvS+wxOP3JwTDZZGSwHZdeeikuvfRSXPGNK/DVG7+Kr930NXz9pq/jmlXX4Cv/+yu44oorcO/ll+e0WJjqCuN0Lyjik4ECyc7nsfjIv8Z+/Pg9WKza6vzrKuD015XmREQ65FwaRnr86K/U9RgOCObYY2AKPP7dO6LScNlll+ETn/gEPvWpT+Ezn/kMPvvZz+Lzn/88vvjFL+KKK65A5d/8jSuuMDYqFvIJQQHn6YexuPL7ypHFS793/vUUaNSJiPkSnYhIh5xKw9xUEJ26HsNcs+B4J/8kwxR+tE8atPKgF4cvfOEL2PGf/3PGVxhbeTpQMJcUMfbnp9/F4i9/5PzrKMDMTwQwop+IaFGehJfSREQ65FQaDHsMnR7ex8AURY4NtuOzn7nEUBw++clP4tOf/jQuv/xyfO5zn8MLf/PXCVcYp7qcSE1RXFDE5CYv/g6LK3+AxRXXK3/v9OspkMxNBBBuN5+IOFJiExHpkDNp0PYYTmt6DEfaeSzBFE+efOx+fPYzl+Czn7kEn/rkx+PE4fLPfAKf/9yn8OUrP4Etf/chPhlg7E3FFiw+rnlqu/ZuLO560fnX5eLMhQMYa0sxEbGz9CYi0iEn0sAeA1MqOTbYjiu/eLFh/uGKj+HLV16C//GlSwyfEDj92hmmVDIbCmCw0YMpg4mIMU5EpIXt0jA3FUTna4k9Bt7HwBRrkonDl/7+Yzg22O74a2SYUsxMKID+Og8mGuInImbViYhqQS8nItLCdmlo3qb0GOZ1PQanP3kYJtfZW70De6t34MnH7seTj91PWWAYBzPW48XYvviJiPnIRMTwnthExEF/OWbZW7CMrdIw2ufH6N7EHoPTnzwMwzBMaSTY7cWxmuQTER2ciMgY26QhocdwWPkNY4+BYRiGyXXmjSYiWpT9RnETEbWUhWywRRrmpoLoeE0xumiPoYXHEgzDMExuMxcOYLzNg2mTiYijVYKunYKGFzkRYQe2SENfQ3m0x/BOR6TH0MxjCYZhGCY3mQ1HJiIOpJiI2CYY5kSEbWQtDdEeQ3OsxzDJ+xgYhmGYHGQmFEB/vQeTqSYitnMiIhdkJQ0j3X70scfAMAzD5CFjPV6M7zPeEcGJiPyQsTSY9Rh4HwPDMAxjZ0aTTESM+CMTEa9yIiIfZCwNfQ3lmNT3GA5xrwTDMAxjT9SJiFmjiYgaZSLi0BuCw5yIyBsZScNonx9BbY+hQ+kxOP0JxjAMwxR+kk5E7NVMRGzhRES+SVsaRrr96NvFHgPDMAxjb5JORNRyIsINpCUNc1NBdLyq6TF0scfAMAzDZBfDiYgW5XvNOCciXEVa0tBXr+sxBATTLTyWYBiGYTLLeIqJiL5KQeAVTkS4BcvSoO8xnGGPgWEYhskwo91eBGuU7ylGExFHqwQHXxV01rDk6CYsSQN7DAzDMIwdMZuImGxUFkod8QkOvc6JCLeSUhrMegzcXskwDMNYjeFERCsnIgoNS08apof9GNqjnDGp5ZRJ3sfAMAzDpMhsOIDB/Ynjk+pExEBkIqKJExEFgSVp2PusYn/tOwS9FUo5JVwvONXnwUKIRxQMwzBMfGZCARyp92Cy0WAiYl9sIqJluyCwpzzX3+uITaSUhhPTQezeINizSVCzWbD3OcH+l5SCSu8upbAy0SB4Z8xLgWAYhmEw3uNFSD8REVkoxYmIwialNMxPB1HxtGDXMwLfejEUiI5XBX0RgZiMCMS7FAiGYZiSitFExJxmIuIIJyIKHkvHE8Pdfgx3+1HxtBgLxLOC2ucEB7YKOl5Tloccq1HasO+MefFumALBMAxTrIlOROjGJxMmIrhQquBJ+xrp4W4/WneXRwWi8hlB1XpBdUQg9mwW1D4vaH5Z0BkRiOBewfFGwRkKBMMwTNFEnYiYaUo+EVG/RTBPWSgKMt5yCSQRiI0Cf+QIo/Z5QcvLimUe8SkCMbVfEYj/oEAwDMMUXMwmIqa1ExFvciKiGMlKGrRYEYi6F5Sm7OE3FAMdrVVatWfGKRAMwzBujzoRcdxkImKwWpmwa9kuCFRzIqIYsU0aVOang3H9h4qnBZXr4gXCv0kRiNaIQAxUKXY6HRGIxRO8A4JhGMZNGe/xIlSnHD8YTkTs0kxEcKFU0WK7NGhJKRCbldS9IGjzKmdfA7sVY51pokAwDMM4ndFuL0b3KlMQ05qFUhP1momIHYIOTkSUBDmVBi16gdj1tMC3TlC1ISYQNZuVwkzbK4Luncru9FCdcjf5WY5wMgzD5C2GExGtyli9OhHR+brgECciSoq8SYOWhBHOiEDs3iDYoxOIwCuC7jeV28NCdYKTvR4KBMMwTI4yFw4gZDQRsV8psqsTEV37yjkRUYI4Ig1aDO+A0AhEzWaJu8a6p0KiezBO9vIaa4ZhGDsyGw5g8IAH003mExHdnIgoeRyXBi1JBWJTvEAc1OzBmOAeDIZhmIwyGwrgaIMyETGdbCLiZcEIZaHkcZU0aLEkEJo9GH3cg8EwDJNWQj1ehOsE822xYwj9RETbK4L2PZyIIAqulQYtKa+xjgjEAe7BYBiGSRmziYiwOhFRyYkIYkxBSIMWI4GoMtiD0bQtdo31sRrlGmvuwWAYppQzPxHAxEHziYj+SuXrJiciiBkFJw1aUt1C6dfuwdBcY318P/dgMAxTOpkLBxAKcCKCZE9BS4OWTPZgjKp7MHiNNcMwRZjZcABDBzyY0u+IOKBc469ORBzYJhjqYsmRpKZopEFLwi2UFvdgTHMPBsMwRZDZUAADBhMRM03xExHNnIggaVKU0qCSzjXW2j0Y49yDwTBMgaa/zoNwvWahlGYiYkidiPByIoJkRlFLgxaja6yNBKKeezAYhinAjHV7MVqrTEHMmExEtO8QdPhZciSZUzLSoMVsD8Zugz0Y6jXWg5FrrGebuQeDYRj3ZH4igBG/JExETHAiguSAkpQGLan2YNToBKJHtweDl0gxDONE9BMRs/qJCJ9y5Nq1j7JA7KPkpUFLJnswhrkHg2GYPGY2HMBwU5KJiKrIRMRWTkQQ+6E0mGB1D0bji9yDwTBM7jMbCmCg0YPj+00mInYrf5DhRATJJZQGC1i9xtpsDwavsWYYJpsYTUTMciKCOAClIU2sCETtc8qjwY7XBH2Ra6wnGykQDMOkl7FuL8ZqY08UtBMRw5qJiIOciCB5gtKQBfpbKM32YDRzDwbDMGlkfiKAkRrdREQLJyKI81AabIJ7MBiGyTZzEwGE280nIo5wIoI4DKUhB1jZg7GPezAYholkLhzAWFuKiYidSvGaExHESSgNOSbpNdaaPRitJnsweAslwxRvZkMBDDZ6MGUwETGmm4gY5kQEcQGUhjyR1h4M7TXWtYJpXmPNMEWVmVAA/fUeTDaYTERUC3o5EUFcCKXBATLZgzHIPRgMUxQZ6/FibF/8RMS8OhGxJ34iYpa9BeIyKA0Owz0YDFMaCXZ7ccxsIsKvTER0cCKCuBxKg4uwtAfj2cQ9GLzGmmHcm/nIRMSsdiKiRSk+x01E1FIWiPuhNLgU7sFgmMLOXDiA8TYPpk0mIo5WKUePDZyIIAUEpaEAsLQHQ3ONde8u5bY49RprCgTD5C+z4chExIEUExHbOBFBCg9KQ4GRzh6Mn6UoKAAABy1JREFUDs0ejEnuwWCYnMbyRMR2TkSQwoXSUMCkuwejX78Hg5dIMYwtGevxYnyfyY4ITkSQIoLSUCSY3kLJPRgMk7OMRiYi5gwmIkYiExEHXxV0ciKCFAmUhiLEyjXW6h6MQ5o9GFORPRi8xpphkifpRESN8v/UoTcEhzkRQYoMSkORY0Ug6p4XtGxXBOKoT2l2cw8GwyTGcCKiNTIRsVeZiOh+U5lq4kQEKUYoDSVEqj0Y/k2JezDGuAeDYZJPRNRyIoKUDpSGEiSdPRht2j0YvMaaKbEYTkS0KN2Fcc1ERCsnIkiJQGkocazswagx2oNRp3wBPUuBYIo040YTEc2xiYi+SuVmVk5EkFKC0kCiJLvGmnswmFLJaLcXQd1ExJxmIuJoVWQiooYlR1J6UBqIIVausVb3YLTv4B4MpvBjNhEx2aiMJx/xKWVhTkSQUobSQFJi6RprzR6MXu0ejD4KBOPuWJmI6NqpfH7PUxZIiUNpIGmRyR6MEe7BYFyY2XAAg/sTF0qpExEDu5UnaE2ciCAkCqWBZAz3YDCFmJlQAEfqPZhsNJiI2BebiGjZLghUlzv9vxkhroLSQGyBezCYQsh4jxchg4mIUB0nIgixAqWB2E6qPRh7NifuwQhyDwaTw4x2exHcq0xBxE1E1CtPv45UCQ7u4EQEIamgNJCcYnUPRgv3YDA5SHQiQrdQSjsR0fm64BAXShFiCUoDyRuW9mC8ENmDEbnGerRWOXfmHgwmnagTETNNySci6jkRQUhaUBpI3kl5jbXBHowB7sFgLMRsImKaExGE2AKlgTgK92AwdmQmFMDRBg+Om0xEDFYr94e0vMyJCEKygdJAXIPRHgzfOkGV/hrriEB0R/ZghLgHo6Qz3uNFqE45flCPIeImInZpJiK4UIqQrKA0EFeSbA/GHpM9GEORPRgnez3cg1ECGe32YlSdiGgymIjwKRMRHZyIIMQ2KA3E9VjZg7FXuwejQjC0h3swijXzEwFM6CciWpVLw6ITEa9xIoKQXEBpIAVFpnswJuoFp7gHo6AzFw4gZDQRsV8Z01UnIrr2lXMigpAcQWkgBQv3YJRGZsMBDB3wYLrJfCKimxMRhOQFSgMpCqzuwTjAPRgFk1nNRMR0komI5pcFI5QFQvICpYEUHUYCUaUViGeVa6ybNNdYcw+GuxLq8SJcJ5hvM5+IaHtF0L6HExGE5BNKAylqku3B8Kt7MJ5X/rTaqbnG+njkGmsKRH6jnYiY0UxEhNWJiEqlq8KJCEKcgdJASoZM9mCMcg9GXjI/EcCwX0wnIvorORFBiBugNJCSJOEWyiR7MA5r9mBMcw+GrZkLBxAKJJmI8HEighA3QWkgJY2la6y5B8P2qBMRU/odEQcUOVMnIg5sFQx1seRIiFugNBASweoejHruwchcFkIBDDQmTkTMNMUmIno4EUGIa6E0EGKA5T0YmmusByPXWM82C6+xNkh/nQfhes1CKc1ExJA6EeHlRAQhbobSQEgKuAcju4x1ezFaa2Eiws+SIyFuh9JASBpY3YPRwD0YmJ8IYMRgImKCExGEFCyUBkIyxOoejMYXlW2LpbIHY24ifiJiVjcRccSnFEq79lEWCCk0KA2E2EC6ezD6inAPxlw4gOGmJBMRVZyIIKTQoTQQYjOW92BsFXS8JujTX2NdYAKhTkRM7TeZiNjNiQhCigVKAyE5RH8LpdU9GMcLZA9Gf50HEw3xExGznIggpGihNBCSJ1JdY+0voD0YY91ejNXGnihoJyKGNRMRB/3lmGVvgZCigdJAiANY2YOxz2wPhoPXWAe7vRip0U1EtMRPRHRwIoKQooXSQIjDJL2FUrMHo9VkD0Y+bqGcnwgg3K6biGjhRAQhpQalgRCXYPUa67oXBK1eQVdkD8Z4DgViLhzAWJsH08kmInYqY6WciCCk+KE0EOJCjK6xTrUHY9DGPRiz4QAGTSYixrQTEdsEw5yIIKRkoDQQ4nLM9mDszsEejJlQAP31HkyaTURUC3o5EUFIyUJpIKSASLUHo2azMsapCkRPZA+GlWusx3q8GNsXPxExr05E7OFEBCGE0kBIwZLJHoxhgz0Yo91eHDOZiBjxcyKCEBKD0kBIEWD1GuvGyDXW0T0YDcokhHYiYko3EXG4lrJACFGgNBBSZFi9xnr/S4KJfi/OzgXiJiKOVinFygZORBBCdFAaCCliUgnEnxZP409/ehdTh8s5EUEISQmlgZASQX8LZdvu8ui/e3s+iLbtnIgghCSH0kBICaI+gVA5MR3kRAQhJCWUBkIIIYRYgtJACCGEEEtQGgghhBBiCUoDIYQQQixBaSCEEEKIJSgNhBBCCLEEpYEQQgghlqA0EEIIIcQSlAZCCCGEWILSQAghhBBLUBoIIYQQYglKAyGEEEIsQWkghBBCiCUoDYQQQgixBKWBEEIIIZagNBBCCCHEEv8X03O+WBpBxckAAAAASUVORK5CYII=[/img][/td][td]used projection matrix[br][br][math]\left(\begin{array}{rrr}1&\frac{\operatorname{cos} \left( \Phi \right)}{\operatorname{tan} \left( \alpha \right)}&0\\0&\frac{\operatorname{sin} \left( \Phi \right)}{\operatorname{tan} \left( \alpha \right)}&1\\\end{array}\right)[/math][br][br][br]Standard projection matrix[br][br][math]\left(\begin{array}{rrr}1&0&\frac{\operatorname{cos} \left( \Phi \right)}{\operatorname{tan} \left( \alpha \right)}\\0&1&\frac{\operatorname{sin} \left( \Phi \right)}{\operatorname{tan} \left( \alpha \right)}\\\end{array}\right)[/math][/td][/tr][/table][br] [br][url=https://www.mathematik.uni-marburg.de/~thormae/lectures/graphics1/graphics_6_2_eng_web.html#1]Graphics Programming ( [/url][url=https://www.mathematik.uni-marburg.de/~thormae/lectures/graphics1/graphics_6_2_eng_web.html#1]Torsten Thormählen[/url])[math]\nearrow[/math][br][url=https://www.inf.tu-dresden.de/content/institutes/smt/cg/teaching/lectures/CG2WS0203/secure/mathematik_script.pdf][br]Affine und projektive Räume (Oliver Deussen)[/url][math]\nearrow[/math][br][br] Grid models defined by [color=#ff0000]Edges-varaibles[/color][br][br]Fig[color=#0000ff]n[/color]A - Pointlist 3D Figur[br][color=#ff0000]FignEdges [/color]- Polyline 3D Figur [br]Fig[color=#0000ff]n[/color]Edges_V - Polygon 3D Figur[br]Fig[color=#0000ff]n[/color]A_P - Pointlist 2D Projection Figur[br][color=#ff0000]FignEdges_P[/color] - Polyline 2D Projection Figur [br][color=#ff0000]FignEdges_Z[/color] - Polyline 2D Central Projection Figur [br][br]Making Figur 2 Pyramid (Tetrahedron) higher a/3->a/2[br][img]data:image/png;base64,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[/img][br]
Oblique and Central Projection
Example Fig2A - Fig4A
switch visibility of figures by Algebra View [ o ] [br]Fig2 und Fig4 rotation by angle φ about zAxis
Fig3 Cabinet Projection
addition visible cube Fig1Edges und Fig1Edges_P
Fig4 central projection
Visible Fig4A, Fig4Edges; Fig4Edges_Z [br]and CAM - select CAM and move CAM with key board 0.5 steps φ=45° Zoom[br]CAM effects only by central projection
Fig5 Central Projection
CAM Position (7.5,-13.5,3.5 ) φ=0° Zoom
Projektion App
Construction of a matrix in homogeneous coordinates for a central projection

Information: Cavalier-Cabinet-Central-Projection xy-z(Φ=45°,α=63.43°)