Astronomical Instruments with Two Scales Drawn on Their Common Circumference of Rings in the Joseon Dynasty

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Astronomical Instruments with Two Scales Drawn on Their Common Circumference of Rings in the Joseon Dynasty Research Paper J. Astron. Space Sci. 34(1), 45-54 (2017) https://doi.org/10.5140/JASS.2017.34.1.45 Astronomical Instruments with Two Scales Drawn on Their Common Circumference of Rings in the Joseon Dynasty Byeong-Hee Mihn1,2†, Goeun Choi1,2, Yong Sam Lee3 1Korea Astronomy and Space Science Institute, Daejeon 34055, Korea 2Korea University of Science and Technology, Daejeon 34113, Korea 3Department of Astronomy and Space Science, Chungbuk National University, Cheongju 28644, Korea This study examines the scale unique instruments used for astronomical observation during the Joseon dynasty. The Small Simplified Armillary Sphere (小簡儀, So-ganui) and the Sun-and-Stars Time-Determining Instrument (日星定時儀, Ilseong-jeongsi-ui) are minimized astronomical instruments, which can be characterized, respectively, as an observational instrument and a clock, and were influenced by the Simplified Armilla (簡儀, Jianyi) of the Yuan dynasty. These two instruments were equipped with several rings, and the rings of one were similar both in size and in scale to those of the other. Using the classic method of drawing the scale on the circumference of a ring, we analyze the scales of the Small Simplified Armillary Sphere and the Sun-and-Stars Time-Determining Instrument. Like the scale feature of the Simplified Armilla, we find that these two instruments selected the specific circumference which can be drawn by two kinds of scales. If Joseon’s astronomical instruments is applied by the dual scale drawing on one circumference, we suggest that 3.14 was used as the ratio of the circumference of circle, not 3 like China, when the ring’s size was calculated in that time. From the size of Hundred-interval disk of the extant Simplified Sundial in Korea, we make a conclusion that the three rings’ diameter of the Sun-and-Stars Time-Determining Instrument described in the Sejiong Sillok (世宗實錄, Veritable Records of the King Sejong) refers to that of the middle circle of every ring, not the outer circle. As analyzing the degree of 28 lunar lodges (lunar mansions) in the equator written by Chiljeongsan-naepyeon (七政算內篇, the Inner Volume of Calculation of the Motions of the Seven Celestial Determinants), we also obtain the result that the scale of the Celestial-circumference-degree in the Small Simplified Armillary Sphere was made with a scale error about 0.1 du in root mean square (RMS). Keywords: astronomical instrument, ring’s scale, ratio of the circumference of a circle, Celestial-circumference-degree ring, Hundred-interval ring, Joseon 1. INTRODUCTION (日星定時儀, Ilseong-jeongsi-ui) are the representative ones in the Joseon dynasty. During a 5.5 year period that started in 1432, King Sejong The parts structurally integrated in the Small Simplified (r. 1418-1450) and his officials made 15 kinds of astronomical Armillary Sphere and the Sun-and-Stars Time-Determining and timekeeping instruments. Some instruments were Instrument and how to use them has been previously described reconstructions of instruments that had previously been based on records in the Sejong Sillok (世宗實錄, Veritable made in China, and others were created by using designs that Records of the King Sejong) (Needham et al. 1986). It has been blended various functional parts and applied them toward a pointed out that the major parts and its function of these two specific aim (Mihn et al. 2015). Among the newly-developed instruments originated from the Simplified Armilla (簡儀, Jianyi) instruments, the Small Simplified Armillary Sphere (小簡儀, So- of the Yuan dynasty (Kim et al. 2012). Nha et al. (1994) and Lee ganui) and the Sun-and-Stars Time-Determining Instrument (1996) have investigated the Simplified Armilla remained in This is an Open Access article distributed under the terms of the Received 27 SEP 2016 Revised 20 DEC 2016 Accepted 22 DEC 2016 Creative Commons Attribution Non-Commercial License (https:// †Corresponding Author creativecommons.org/licenses/by-nc/3.0/) which permits unrestricted non-commercial use, distribution, and reproduction in any medium, Tel: +82-42-865-2044, E-mail: [email protected] provided the original work is properly cited. ORCID: https://orcid.org/0000-0002-1603-3769 Copyright © The Korean Space Science Society 45 http://janss.kr plSSN: 2093-5587 elSSN: 2093-1409 J. Astron. Space Sci. 34(1), 45-54 (2017) China and suggested a Joseon period reconstruction model of the observation instrument and clock, respectively, by extracting Simplified Armilla. Lee & Kim (2002) gathered records about the the corresponding function from the Simplified Armilla (Kim et Small Simplified Armillary Sphere and analyzed its structure. al. 2012). Lee et al. (1995) reviewed the function and specifications of Mihn et al. (2015) summarized the specifications of the parts of the Sun-and-Stars Time-Determining Instrument, Small Simplified Armillary Sphere and the Sun-and Star while Lee & Nam (1998) proposed its reconstruction model and Time-Determining Instrument in detail. The Sun-and Star explained the possibility of the association with the Automatic- Time-Determining Instrument has three concentric rings striking Clepsydra (自擊漏, Jagyeok-ru). Nam (2002) has asserted which are placed on the equator; the Celestial-circumference that the Sun-and-Stars Time-Determining Instrument was used degree-and-fraction ring, the Sundial Hundred-interval to adjust time of the Automatic-striking. Rufus (1936) has first ring, and the Star-dial Hundred-interval ring. The outermost introduced two instruments that are similar to the Sun-and- ring is 2.00 ja (41.4 cm) in diameter and is also engraved by Stars Time-Determining Instrument, and Song et al. (1994) has graduations of the Celestial-circumference degree, which reported their specifications. is 365.25 du in a turn. The middle and the inner ring have It has been contended that the ring’s size of Joseon period Hundred-interval graduations with 1.84 ja (38.1 cm) and 1.68 astronomical instruments was appropriately selected to ja (43.8 cm) in diameter respectively (Mihn et al. 2015). The draw the scale on the ring’s circumference (Mihn et al. 2015). scale of the Hundred-interval comes from 12 double-hours Though several cases have been studied, there have been no and 100 intervals per day in Chinese astronomy. conclusions reached about the association between a ring’s The Small Simplified Armillary Sphere also has concentric size and its scale of the Small Simplified Armillary Sphere rings; two concentric rings and the other ring perpendicular and the Sun-and-Stars Time-Determining Instrument. The to them. On the equatorial plane, the Hundred-interval ring diameters of the Small Simplified Armillary Sphere are ring is fixed within the equatorial ring. The former is 1.84 ja analogous to those of the Sun-and-Stars Time-Determining in diameter and the latter is 2.00 ja (Mihn et al. 2015). It is Instrument, and the scale reveals such similarity. These different from that the fixed Hundred-interval ring of the points enable us to grasp the characteristics of the ring’s size Simplified Armilla is out of its equatorial ring (Lee 1996). of those instruments as well as their scales. The specifications The declination ring of the Small Simplified Armillary of the Sun-and-Stars Time-Determining Instrument are Sphere is perpendicular to the equatorial plane but identical confirmed in the Sejong Sillok, while those of the Small to the equatorial ring in terms of the size and the scale. Simplified Armillary Sphere are established in the Gukjo- The equatorial ring has the scale of 28 lunar lodges as well Ryeoksang-Go (國朝曆象考, Reference for Astronomy and its as Celestial-circumference degree, while the declination Calendar of Our Country) (Lee & Moon 2004). The type of the ring has a half of the Celestial-circumference degree scale ring scale can be seen from the ring’s name described in the on each of the two semicircles, which is divided by the inscription and the memoir of the Sejong Sillok (Needham et two poles; the North pole and South pole. The analysis of al. 1986). the connection between a ring’s size and its scale is made We explain the scale drawn on the ring in Section 2, and only with those of the Sun-and Star Time-Determining analyze the scale’s characteristics and error of the Small Instrument, which is greatly similar to aspects of the Small Simplified Armillary Sphere and the Sun-and Star Time- Simplified Armillary Sphere. Determining Instrument in Section 3. In Section 4, we make some conclusions on the three rings featured on these two 2.2 Shape instruments of the Joseon dynasty. There are two shapes of rings historically employed in astronomical instruments of Korea and China; one is a thin 2. RING’S SIZE AND SCALE flat ring which resembles a washer like Fig. 1(a) and the other is a thin band ring like Fig. 1(b). Because the ticks for scale 2.1 Specification and Graduations were drawn on the circumference of the ring (Mihn et al. 2015), a thin flat ring has at least two circumferences of an The Small Simplified Armillary Sphere and the Sun-and- outer diameter and an inner diameter on which t scales can Stars Time-Determining Instrument were first made in 1433 be marked (see the Fig. 1). In this paper, the inner, the middle, and 1437, respectively, under the reign of King Sejong of and the outer circumference of a thin flat ring are considered. Joseon. Both two instruments have all three rings, with the scale The specifications of a ring are expressed as diameter, engraved on each. The instruments can be characterized as width and thickness. In the Chinese literature, the diameter https://doi.org/10.5140/JASS.2017.34.1.45 46 Byeong-Hee Mihn et al.
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