• Title/Summary/Keyword: 7th Century's Plane

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Mathematician Taylor's Linear Perspective Theory and Painter Kirby's Handbook (수학자 테일러의 선 원근법과 화가 커비의 해설서)

  • Cho, Eun-Jung
    • The Journal of Art Theory & Practice
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    • no.7
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    • pp.165-188
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    • 2009
  • In the development of linear perspective, Brook Taylor's theory has achieved a special position. With his method described in Linear Perspective(1715) and New Principles of Linear Perspective(1719), the subject of linear perspective became a generalized and abstract theory rather than a practical method for painters. He is known to be the first who used the term 'vanishing point'. Although a similar concept has been used form the early stage of Renaissance linear perspective, he developed a new method of British perspective technique of measure points based on the concept of 'vanishing points'. In the 15th and 16th century linear perspective, pictorial space is considered as independent space detached from the outer world. Albertian method of linear perspective is to construct a pavement on the picture in accordance with the centric point where the centric ray of the visual pyramid strikes the picture plane. Comparison to this traditional method, Taylor established the concent of a vanishing point (and a vanishing line), namely, the point (and the line) where a line (and a plane) through the eye point parallel to the considered line (and the plane) meets the picture plane. In the traditional situation like in Albertian method, the picture plane was assumed to be vertical and the center of the picture usually corresponded with the vanishing point. On the other hand, Taylor emphasized the role of vanishing points, and as a result, his method entered the domain of projective geometry rather than Euclidean geometry. For Taylor's theory was highly abstract and difficult to apply for the practitioners, there appeared many perspective treatises based on his theory in England since 1740s. Joshua Kirby's Dr. Brook Taylor's Method of Perspective Made Easy, Both in Theory and Practice(1754) was one of the most popular treatises among these posterior writings. As a well-known painter of the 18th century English society and perspective professor of the St. Martin's Lane Academy, Kirby tried to bridge the gap between the practice of the artists and the mathematical theory of Taylor. Trying to ease the common readers into Taylor's method, Kirby somehow abbreviated and even omitted several crucial parts of Taylor's ideas, especially concerning to the inverse problems of perspective projection. Taylor's theory and Kirby's handbook reveal us that the development of linear perspective in European society entered a transitional phase in the 18th century. In the European tradition, linear perspective means a representational system to indicated the three-dimensional nature of space and the image of objects on the two-dimensional surface, using the central projection method. However, Taylor and following scholars converted linear perspective as a complete mathematical and abstract theory. Such a development was also due to concern and interest of contemporary artists toward new visions of infinite space and kaleidoscopic phenomena of visual perception.

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A Study on the period of the Mireuk Temple stone pagoda plane type (미륵사지석탑(彌勒寺址石塔) 평면형식(平面形式) 시대위치(時代位置))

  • Kim, Duk-Mun
    • Korean Journal of Heritage: History & Science
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    • v.37
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    • pp.151-168
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    • 2004
  • The Mireuk Temple Stone pagoda is the largest scale of the existing Stone Pagoda in Korea. A research until now postulates that the Stone pagoda at Mireuk Temple site is composed of nine stories total. However it does not have any records of the detail, dimension, and related methods, etc, even though it is a tectonically large scale building. Only one source of the description is based upon a story which is a sort of Korean myth or traditional story (Samkukyousa, Mu dynasty), although a historical description from a myth or a story is a polemical issue and still needed research in order to prove the truth. One of the ways to make a proof of the truth is an architectural research from the typology of the plane. The types of the plane are differentiated from each era. Therefore, the typology of the plane presents a reason or a proof for the age of the pagoda. Furthermore, the typology of the plane is crucial part in the research of the historical style and it could help the historical style of the Mireuk temple stone pagoda. Research until now shows that the Mireuk temple stone pagoda is the genesis of the stone pagoda shaped after wooden one. It is impossible to find any previous one from the stone pagoda at Mireuk Temple site in Korea. So it is easier to find any previous example from the history of China because Buddhist pagoda-most pagodas are something to do with Buddhism-in Korea is introduced by India via China. This research presents the periodical variation of stone and brick pagoda in both countries. It concludes that the Mireuk temple stone pagoda has $7^{th}$ century's plane type.

HISTOLOGICAL CHANGES IN THE ELONGATED BONE AFFECTED BY OSTEODISTRACTION OF THE MANDIBLE IN THE DOG (성견 하악골 절단 후 기계적 골 견인에 의해 형성된 골 신장부에 대한 시기별 조직학적 변화)

  • Baek, Sun-Ho;Ahn, Byoung-Keun;Park, Young-Ju;Park, Hee-Geon;Park, Jun-Woo;Rhee, Gun-Joo;Lee, Yong-Chan;Cho, Byoung-Ouck
    • Journal of the Korean Association of Oral and Maxillofacial Surgeons
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    • v.27 no.5
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    • pp.404-416
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    • 2001
  • Purpose : Traditionally, the treatement of choice has been a bone grafting procedure to increase the length of bone in case of actual length discrepancy. But, bone grafting procedure has many disadvantages, for example, graft resorption, donor site morbidity, and so on. So, many trials have been performed to avert the use of autogenous bone graft via introducing new materials or methods. And, one of those trials has been realized by the development of a technique inducing bone lengthening by osteotomy (or corticotomy) and slow gradual distraction of the osteotomized segments. This new technique of bone lengthening dates back to the early 20th century. But, the majority of information concerning the biology of new bone formation during bone lengthening and technical details of the procedure were produced by extensive clinical and experimental studies performed by Ilizarov, a Russian surgeon. According to Ilizarov, with adequate blood supply, preservation of periosteum, rigid fixation of the osteotomized segments, and proper rate and rhythm of distraction, intramembranous bone rapidly develops within the distraction gap in the limb lengthening procedure. In the limb lengthening, many orthopedic surgeons try to observe the biologic and clinical principles recommended by Ilizarov. In the oral and maxillofacial region, however, not a few studies must be performed to apply this surgical technique in the clinical cases. Besides, the mechanism of bone formation in the distraction gap is not clear, yet. The purpose of this experiment was to scrutinize serially the histological changes in the elongated bone affected by osteodistraction of the mandibular body in an adult canine model. In addition, it was performed to confirm the presence of specific region(s) which was important in the bone formation in the gap through the observation of the expression pattern of osteocalcin and osteonectin with the immunohistochemical examination. Materials and Methods : The experimental and control specimens were obtained from seven adult male mongrel dogs weighing over 20kg. The distractors were custom-made linear extraoral devices and bicortical fixation screws were 2.3mm in diameter, 50mm in total length, 15mm in screw length. The distractors were devised to produce a linear gap of 0.75mm between two bony segments every $360^{\circ}$ turn of the rotation rod of the device. The mandibular body of the right side of each animal was corticotomized perpendicular to the occlusal plane and then two bony segments were separated completely by careful manipulation of the segments with bone forceps. The left side of each animal was left intact. This side was served as control. At sixth day after osteotomy and fixation of the segments were performed, distraction of the segments was commenced with a rate of 1.1mm/day and a rhythm of two/day for ensuing 7 days. The animals were euthanized at the 16th. 29th, and 44th day after the osteotomy. The bony specimens were decalcified, embedded in paraffin, sectioned $5{\mu}m$ thick and stained with H&E. The prepared specimens were examined under the light microscope. And, immunohistochemical examinations using anti-osteocalcin antibody (OC1, Biodesign, USA) and anti-osteonectin antibody (Haematologic Technologies Inc., Essex, VT) to locate the expressions of osteocalcin and osteonectin, respectively, were performed. Results : 1. New bone was observed already at the 16th. day after osteotomy. This suggests that new bone formation in osteodistraction was commenced at an early stage of the regenerative process. But, radiologically and microscopically, bony union was not completed in the distraction gap at the 44th. day after osteotomy. Therefore, rigid fixation must be maintained between the bony fragments till the complete bony union is confirmed clinically rather than one month or so after the completion of distraction.

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