KR820002329Y1 - The circular protractor for analysis and drawing of the tai geuk flag - Google Patents

Abstract

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Description

Protractor for interpretation of national flag system and Taegeuk pattern

1 is a configuration diagram of the present invention.

2 is an explanatory diagram of the national flag system.

3 and 4 show the description frame of the dynamic envelope Taegeuk of the present invention.

Less than 5 relates to an example of the use of the present invention,

5 is a dynamic envelope Taegeukdo.

5a is an explanatory diagram of an elliptic partial system of a dynamic Taijiquan.

6 is Taegukdo of Da.

7 is a comparative explanatory diagram of the sesame system.

8 is an analysis of the forces of dynamic Taijiquan.

9 is an analysis of the envelope Taegeuk.

Figure 10 is an explanatory diagram of four flags.

Fig. 11 is Taegeukdo inscribed in the rule.

12th degree is 7 urethra.

Figure 13 is a traditional taiji pattern.

The present invention facilitates the establishment of the national flag according to Nos. 2 and 3 of the Ministry of Education, and analyzes the dynamic Taegeuk, and helps to interpret the concise mathematical relations contained therein. It is a protractor that can angle a fairy tale.

Conventional drawings for drawing regularities are merely boring holes for shapes needed for transparent boards, and are not suitable for drawing or analyzing shapes related to Taijiquan. It was not enough to interpret one or the repairs contained therein or to assimilate the shipwreck. Considering the above points, the present invention can easily draw a regular flag, help to analyze the mathematical relations by analyzing the dynamic Taegeuk Taegeuk, and make the inner wave line as a fairy tale and explain it in detail according to the accompanying drawings. Is as follows.

Quadrant (2) of origin (1), in which a main hole (8) for drawing a green light ferrule and a semicircle hole are formed in a known transparent disc having a minute scale (12) and holes of circles and other figures. 1/2 of the origin (1) inscribed in the origin (1) with a scale (14 ') (14 ″) in the vertical and horizontal radius and a quarter scale (14) in the quarter circumference. Diameter (hereafter “diameter” means diameter of origin (1) and number means size when origin diameter is 1) Semi-circle hole (3) and 1/3 diameter hole (41), 1/4 1/6 diameter circle inscribed to diameter circle hole (4), 1/6 diameter circle hole (42), 1/8 diameter circle hole (5) and concentric circle 6 of origin (1) which is 1/2 diameter (7) the radiation (3 ') (41') (4 ') (5') (7 ') from the center of origin (0) through the center of each hole is 5 ° of the division scale (12) of origin or Arranged to coincide with a scale of 10 ° and around the circle hole 41, 4, 42, 5, and 7 each of the above radiations origins (1) and Protractor when drafting 360 ° / 5 ° n or 360 ° / 10 ° n (where 5 ° and 10 ° are special curves), starting from the point of intersection with the concentric circle (6) of 1/2 diameter origin. N is the unit frequency for rotating, n is 3 for a 1/3 diameter hole, and for a 1/4 diameter hole, the ratio is equal to the value of the diameter of the synchronization circle (1) and the diameter of each inscribed hole). In addition, the clock hands are given the required number of scales 641, 604, 642, 605, 607 in the opposite direction of the direction. Therefore, 360 ° / (10 ° × 3) = 12 in the 1/3 diameter circle hole 41, i.e., 360 ° / (5 ° × 6) = 12 in the 12 divisions 1/6 diameter circle hole 42,7. That is, the 12 division 1/4 diameter circle hole 4 has 360 ° / (10 ° × 4) = 9, that is, 9 divisions. On the line of the wick circumference (11) of origin (1), which is divided into six parts between the origin (1) and the outer periphery of the 1.5 diameter disc (9), the diameter of the origin (1) and the circumference of the origin (6) and the holes inscribed therein ( Circumference 11 and angular radiation 41 in the radial angles 541, 504, 542, 505, and 507 divided by 360 ° by the ratio of the diameters of 41, 4, 42, 5, and 7. Corresponding to the circular holes 41, 4, 42, 5, 7 in the opposite direction of the clockwise direction, starting from the point where the 4 ', 42', and 7 'intersect. 1/12 diameter circle holes inscribed at intervals of 5 degrees or 10 degrees of protractors and inscribed in numbers 1,2,3 ... and inscribed in the concentric circumference 11 of the margin and having a constant diameter ratio ( 43) and the hole having the diameter of the required diameter, the orthogonal effect hole 44 orthogonal scale of the sound effect which is orthogonal to the extension line of the vertical radius, and the index (1/4 and 1/8 diameter distance from this hole) 447 and 448 are indicated on the line. The front and back of the semi-circle plate 22 having five minute insertion holes 10 with the same diameter as the origin (1), with five penetrating holes (10) on the concentric circumference (11) line between the disc rim (9) and the origin (1). The half-diameter semicircle plate 23 having the minute scale 24 on either side is attached with a screw for detachment so that the strings coincide and inscribe. The holes 24 ', 24 "in the semicircle 23 are fixing nail holes. Describe the effect.

To draw the national flag, as shown in Fig. 2, the length and the width by the Ministry of Education's Notices No. 2 and No. 3 are drawn in a semicircle on the pin 113 inserted diagonally on the non-invisible screen 111 of 3 and 2 and inserted into the intersection 112. Place one end of the hole (3) and place a pencil on one end of the other string and turn it to the origin (114) and under the arc of the semicircle hole (3) where the string is aligned with the inclination of the diagonal oblique line through the gun and gon. Draw a right circle and rotate the semicircle hole 3 by 180 degrees to form a right circle on the diagonal direction with the same tips.

To draw the rule, align the index (447) of the 1/4 diameter distance to the outside of the origin (114) so that the vertical radius extension line coincides with the diagonal line, and draw a line along the hole 44 of the hyo and the intercalation of the sound effect. After moving the surface of 1/8 diameter distance to the inner line of the filial piety drawn one by one, draw the rule along the hole 44 to draw the next filth, and the ferrule uses the bone hole 8 for Mugunghwa peak drafting. Draw

The dynamic envelope Taegeuk is a dynamic representation of the Taeguk, which is the same as the fourth figure extending four rods 118 equal to one-half diameter on both ends of the half-diameter semicircle 117. As shown in FIG. 1, the shafts 119, 120, 121, and 122 are combined to form a frame, and the axes 119 and 121 are coordinated with the Y, Y ′ axes. When moving simultaneously along the x, x 'axis of the four semicircle 117 strings, the enveloping mesh 123 asteroids of FIG. 5, the sphere has four orthogonal members 124 and eight beaks 125, and Eight rods 118 form an envelope that forms eight quarter ellipses, forming a positive taiji and four taiji.

However, because of structural defects, they are not suitable for actual institution of dynamic envelope taegeuk.

The present invention is a protractor that features both functions of the Taegeuk system and the geometrical analysis of the various curves contained in the Taegeuk.

In order to draw this Taegeuk, the quadrant (2) is fixed on the screen on which Cartesian coordinates are drawn and the semicircle (23) separated from the semicircle (22) is rotated 90 degrees in the quadrant (2), and a line is drawn along the strings and the circumference. After drawing 1/4 of the envelope Taegeuk and the same 3/4 degrees, the ellipse part is folded in half (111 ') on the screen as shown in Figure 5a, and the center and center of origin (1) Align the fold line 15 in line with the vertical axis of the quadrant (2), superimpose the semicircle (28), which is superimposed on the origin (1) and protruded into the semicircle (22) on the horizontal axis in the quadrant (2) cutout. The semi-circle plate is rotated 90 degrees while the minute scale 24 of the semi-circle plate 23 is aligned with the circumferential scale 14 of the quadrant 2 or the end of the string of the semi-circle plate 22 is aligned with the scale 14 '(14 ″). On the screen of (22), the envelope (126 ') is drawn on the outside of the origin according to the overlapping string (126') to form a quarter ellipse. The remaining seven quarter ellipses can be drawn with the same technique.

To draw a taegeuk like in Figure 6, insert a pin on the screen, place one end of the semicircle hole (3) on the pin, and divide it according to the number of the Taegeuk that you want to get the prayer. Rotate 3) and draw the arc to draw various kinds of Taegeuk desired.

As shown in Fig. 7, the astronomical girdle (asteroid) 123 is a trajectory that draws one vertex on the mobilization circle when the circumference of 1/4 diameter is inscribed in origin. That's quite complicated. However, the present invention can be simply drawn as follows. That is, the pin 113 is drawn so that the disk can be rotated in two places, which draw the Cartesian coordinates on the screen and align the center line 4 'of the quarter-hole hole 4 with the coordinate axis 127 and contact the outer periphery of the disc 9. After fixing the circumferential circle (2) to be drawn out, divide the division scale of the disc (9) by dividing it into 9 equal parts by 10 degrees according to 12 and assigning the numbers 1 to 9 and using the 1/4 diameter circle hole (4) to the circle (128). Then, the disk is rotated by 10 degrees from the coordinate axis 127 by 9 degrees each time to draw the circle 129, and the dots are sequentially scored according to the number of the circumferential scale 604 of the hole 4 corresponding to the assigned number. Since the center line 4 'is aligned with the coordinate axis 127 and the scale in the radial angle 504 is sequentially aligned with the coordinate axis 127, a dot is formed in the hole 4 and the circumferential scale 604 in this order. This makes it easier to get the desired mesh type 1/4 (123 '). It is intuitive to know that the enveloping mesh type 123 of the above envelope is the same, in the same diameter as the one-third diameter hole (41) inscribed in the origin (1) and the concentric circle (6) of the half-diameter origin. Using a 1/6 diameter circle hole (7) and 120 degree coordinates, a 1/3 array of Terra Caspide inscribed to a concentric circle (6) of origin (1) or 1/2 diameter origin, a 1/8 diameter circle hole 1/8 of the 8 cubic inscribed to the origin (1) using (5) and 45 degree coordinates, and 1/6 of the 6 cubic shape using the 1/6 diameter circle hole 42 and 60 degree coordinates. And the same trick can complete the above polymorphic form and another polymorphic figure is a circle, such as a concentric circumference (11) using a pencil insertion hole (10) and using a hole 43 inscribed in the concentric circumference If you look closely at the dynamic envelope Taegeuk in Fig. 5, it is a trellispid (tricuspid) between orthogonal staff (124) and Seongmangyeong (123) The 2/3 (130) curve is shown, which is approximated by moving the end 1/3 of the Terraid Speed 130 in the connected orthogonal member 124 and fitting the end to the upper 2/3 part. Obtain a Terra Caspide. Two-thirds territories of orthogonal staff are compared to the territories of description above. In addition, the ellipse outside the dynamic Taegeuk Taegeuk indicates the force required for the dynamic Taegeukgeuk in origin. When analyzing the change of force according to FIG. 8, the middle point (134) of the prefecture is the long axis (133). When pulled in the direction, the string 132 is moved while drawing an isosceles triangle and both sides at the midpoint of the long axis 133 coincide.

The envelope drawn by both sides forms half of the screen.

Looking at the change in the semicircle 131 until this is the same as the picture shown in the beak (125), the ultimate is a half diameter circle (131 ').

The points extending the half of the isosceles triangle formed by the upper string 132 are on the ellipse 135 line, and the triangles connecting the dots 136 and 136 'correspond to the change of the string 132. Is always symmetrical and therefore its height (line segment 134,134 ', line segment 137,134') is always the same.

The magnitude of this height represents the magnitude of the force required to deform the semicircle 131 and the direction of the force from the midpoint 134 of the string 132 toward the long axis 133 is the string ( 134 ") faces the direction of force to return to string 132.

You can see the dynamic state of the envelope Taegeuk by forming the completed envelope Taeguk by drawing the remaining three figures as shown in FIG.

In addition, a pattern like FIG. 9 can be obtained by fixing a half-diameter semicircle (25) to the screen with a pin and inserting a quadrant (2) and rotating it 90 degrees while drawing an envelope along the vertical axis, the horizontal axis, and the circumference. Is 1-Sinθ and 1-Cosθ varying according to the rotation angles of the semicircle 140 and the beak 141 and the quadrant 2 formed by the line circumferential angle 139 on the 1/2 diameter semicircle diameter 138.

This pattern is centered on the common part that occurs when two origins are centered on each other, and the waterline 143 established at the midpoint 142 of the prefecture has a path that divides the circumference of the origin into approximately seven equal parts.

Further, when the intersection 144 of both ends of the diameter and the beak 144 is connected to each other, an equilateral triangle is formed, and when the two vertices 145 and 145 'of 1-Sinθ are connected to each other, a square is formed. Match the midpoint to the lower intersection point of origin (146), draw a semicircle (147) to obtain the two points (148) (148 ') that intersect the origin, and obtain the semicircular vertices (149), then the two points (148) (148') and vertices. Extends the line connecting (149) to the point of origin (150) (150 ') that intersects the enemy of origin, connects both ends of this point with the half-origin diameter (138) and again at points (150) (150'). The point 151 that meets the 1/2 diameter constitutes an approximate pentagon, and the diameter 138 is one side, and an infinite number of regular polygons can be drawn using the degree of origin.

In addition, as shown in FIG. 10, the semicircular hole 3 and the quarter diameter circle hole 4 are formed into a half circle circle 152, a quarter circle 153 and a quarter circle 154. 1/8 diameter circle holes 5, beak 155 is semicircle plate 3, beak 156 is 1/4 diameter circle hole 4, and beak 157 is 1/8 diameter Each of the circular holes 5 is drawn and then divided into 1s and 0s according to the principle of Boolean algebra to obtain 4 ruled (158) (159) (160) (161).

The seven urethra as shown in FIG. 12 are semicircular holes 3 and 1/8 diameter hole 5, and the size of the urethra is inscribed in the above mesh.

This pattern is a traditional pattern deeply related to light. Also, the positive taegeuk inscribed in the rule shown in Fig. 11 can be drawn by the 1/3 diameter circle hole 41 and the 1/6 diameter circle hole 42.

Also, as shown in FIG. 13, if the traditional Taegeuk pattern is examined, the outer surface of the transparent disc (9) is superimposed on the traditional pattern, and a pen writing is inserted into the pencil insertion hole (10) to draw a concentric circle as the reference or through the insertion hole (10). Based on (11), the change of the Taegeuk pattern can be observed.

As above, the present invention can not only easily prepare the national flag, but also assimilate the dynamic envelope Taegeuk and implosion lines and help them to interpret the mathematical relations by analyzing them geometrically and recognize the flag to the general public. It is to provide a protractor that makes the meaning of the Taeguk pattern easier to understand.

Claims (1)

As shown in the figure, the main hole 8 and the semicircle hole for forming the fertilized ferrule are formed on a known transparent disc on which a minute scale 12 and a circle and other figure holes are formed. Cut the quadrant of the origin (1) and the half-diameter semicircle hole (3) with the scale (14) (14 ') (14 ″) and cut the origin (1) and the half-diameter concentric circles. 1/3, 1/4, 1/8, 1/6 diameter circle holes inscribed in (6), each with circumferential divisions 641, 604, 642, 605, 607 (41) (4) (42) (5) (7) Lines of concentric circumferences (11) with pencil insertion holes (10) from their centerlines (41 ') (4') (42 ') (7') Radial angles 541, 504, 542 (360) divided by the ratio of the diameter of the origin (1) and concentric circles (6) and the inscribed apertures (41) (4) (42) (5) (7) 505) and 507, and a scale and number corresponding to the circumferential dividing scale and number of each hole, and erecting hole 44 for orthogonal drawing perpendicular to the vertical radius extension line. Either side of front and back of semicircular plate 22 with intercalary divisions of filial piety and indicators 447 (448) of 1/4 and 1/8 diameter distances of origin and with a separate division (1) and a division scale of the same diameter. A flag system and a taeguk pattern analysis protractor attached to the 1/2 diameter semi-circle plate 23 having a birth scale 24 on the inner side of the band.