{"product_id":"9781041306757","title":"Perspective as Geometry and Design","description":"\u003ch1\u003ePerspective as Geometry and Design\u003c\/h1\u003e\u003ch3\u003eDhirgham T. Murran\u003c\/h3\u003e\u003cdiv\u003e\u003cb\u003eMathematics \/ Geometry \/ General\u003c\/b\u003e\u003c\/div\u003e\u003cbr\u003e\u003cdiv\u003e\n\u003cp\u003ePerspective as Geometry and Design redefines the foundations of perspective drawing through a unified and rigorously geometric approach. Designed for artists, architects, designers, and engineers, the book presents perspective not simply as a visual convention but as a flexible, mathematically structured system capable of handling both classical and complex spatial problems.\u003c\/p\u003e\n\u003cp\u003eThe text is organized into two parts across eleven chapters. The first part introduces four methods for one- and two-point perspectives, three of which break from the standard reliance on the station point found in traditional manuals. It also addresses situations where vanishing points fall outside the drawing area and introduces a unique miniature-construction procedure that replaces large, unwieldy plan views.\u003c\/p\u003e\n\u003cp\u003eThe second part offers major breakthroughs in three-point perspective. Four original construction methods and three height-determination procedures are presented, all using conventional plan geometry—avoiding the tilted plans, overlapping elevations, and complexity found in older systems. For the first time, the camera’s tilt angle becomes an integral part of the construction process, enabling systematic bird’s-eye and worm’s-eye views. Additional techniques handle extreme tilt angles where horizon lines or vertical vanishing points lie beyond the drawing board.\u003c\/p\u003e\n\u003cp\u003e\u003cb\u003eKey Features\u003c\/b\u003e\u003c\/p\u003e\n\u003cul\u003e \u003cli\u003eFour methods for one- and two-point perspectives, including three non–station-point constructions\u003c\/li\u003e \u003cli\u003eTechniques for handling vanishing points located far off the drawing board\u003c\/li\u003e \u003cli\u003eA miniature-construction method replacing large-scale plan views\u003c\/li\u003e \u003cli\u003eFour original methods for three-point perspective plus three height-determination procedures\u003c\/li\u003e \u003cli\u003eIntegration of camera tilt for accurate bird’s-eye and worm’s-eye perspectives\u003c\/li\u003e \u003cli\u003eSubstitution techniques for missing horizon lines or vertical vanishing points\u003c\/li\u003e \u003cli\u003eOriginal vector equations with Excel implementations for full 3D projection\u003c\/li\u003e \u003cli\u003eA patented mechanical method (UK Patent No. GB-2069938A, 1981) that constructs perspectives without vanishing points\u003c\/li\u003e \u003c\/ul\u003e\n\u003cp\u003eBlending geometry, mathematics, and design practice, this book is ideal for architects, engineers, industrial designers, interior designers, illustrators, visual-effects artists, fine artists, students, and educators seeking both precision and deeper conceptual understanding in perspective construction.\u003c\/p\u003e\n\u003c\/div\u003e\u003cdiv\u003e\u003cp\u003e\u003cb\u003eDhirgham T. Murran\u003c\/b\u003e is a researcher, designer, and inventor of a patented perspective-drawing apparatus (UK Patent No. GB-2069938A, 1981). He has developed multiple original methods that expand and simplify traditional approaches to perspective construction, combining geometry, mathematics, and design practice. His work bridges theory with practical application, offering valuable tools for architects, artists, engineers, and educators.\u003c\/p\u003e\u003c\/div\u003e\u003cbr\u003e\u003ctable\u003e\n\u003ctr\u003e\n\u003ctd\u003ePublication Date: \u003c\/td\u003e\n\u003ctd\u003e25 October 2026\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003ePublisher: \u003c\/td\u003e\n\u003ctd\u003eCRC Press\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eImprint: \u003c\/td\u003e\n\u003ctd\u003eChapman and Hall\/CRC\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eISBN-13: \u003c\/td\u003e\n\u003ctd\u003e9781041306757\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eFormat: \u003c\/td\u003e\n\u003ctd\u003eHardback\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003ePage Count: \u003c\/td\u003e\n\u003ctd\u003e172\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eWeight (oz): \u003c\/td\u003e\n\u003ctd\u003e18.75\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003c\/table\u003e","brand":"CRC Press","offers":[{"title":"Default Title","offer_id":63546973454476,"sku":"9781041306757","price":150.29,"currency_code":"USD","in_stock":true}],"url":"https:\/\/lateknightbooks.com\/products\/9781041306757","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}