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US 11,687,685 B2Granted
CAD plotting method of equally dividing an angle
OwnerKimiji Gotoinventor
Life of this patent
Estimating the term…
Abstract
A CAD plotting method of equally dividing an optional angle which is capable of reducing a plotting error so as to be fitted for a practical use with a simple plotting procedure, as compared to a conventional plotting method.
Claims4
A CAD plotting method of equally dividing an angle XOY between a line OX and a line OY into three sections, comprising:
- providing a CAD system, the CAD system executing:
- a step of seeking points A1, B1 on the line OX and the line OY, respectively, so as to form a relation OA1=OB1,
- a step of forming a triangle A1OB1 by connecting a point A1 on the line OX and a point B1 on the line OY,
- a step of forming an equilateral triangle A1B1O′ whose one side is defined by a line A1B1,
- a step of drawing a line which passes a center O11 of a circle which circumscribes said equilateral triangle A1B1O′ in parallel with said side A1B1, seeking points A2, B2 at which said parallel line intersects the line AO′ and BO′, respectively, and seeking a point O12 which is a central point of said side A1B1,
- a step of seeking points C′1 and C1 at which A2B1, A1B1, A1B2 intersects B2O12, A2O12, respectively,
- a step of seeking points E′1 and E1 at which extension lines of O′C1, O′C′1 intersect A1B1, whereby said side A1B1 is trisected by said points E′1 and E1,
- a step of seeking a point F1 at which a line A2B2 intersects said line O′C1, and a point F′1 at which a line A2B2 intersects said line O′C′1
- a step of seeking points a, b on the circumscribed circle so as to be separated from A, B with a distance corresponding to F1E′1, or F′1E1, respectively,
- a step of seeking points I, J at which the lines aO′, bO′ intersect the side A1, B1, respectively, and
- a step of drawing lines OI, OJ, whereby each of angles XOI, IOJ, and JOY corresponds to the trisection angle of XOY.
8 more elements
A CAD plotting method of equally dividing an angle XOY between a line OX and a line OY into N sections, comprising:
- providing a CAD system, the CAD system executing:
- a step of seeking points A1, B1 on the line OX and the line OY, respectively, so as to form a relation OA1=OB1,
- a step of forming a triangle A1OB1 by connecting a point A1 on the line OX and a point B11 on the line OY,
- a step of forming an equilateral triangle A1B1O′ whose one side is defined by a line A1B1,
- a step of drawing a line which passes a center O11 of a circle which circumscribes said equilateral triangle A1B1O′ in parallel with said side A1B1, seeking points A2, B2 at which said parallel line intersects the line AO′ and BO′, respectively, and seeking a point O12 which is a central point of said side A1B1,
- a step of seeking points C′1 and C1 at which A2B1, A1B1, A1B2 intersects B2O12, A2O12, respectively,
- a step of seeking points E′1 and E1 at which extension lines of O′C1, O′C′1 intersect A1B1, whereby said side A1B1 is trisected by said points E′1 and E1,
- a step of seeking a point F1 at which a line A2B2 intersects said line O′C1, and a point F′1 at which a line A2B2 intersects said line O′C′1
- a step of seeking a point O13 at which the line O′O12 intersects the side A1B2 or the side A2B1, and seeking G1, G′1 at which a line passing the point O13 in parallel with the side A1B1 intersects O′E, O′E′, respectively,
- a step of extracting O21C1, O13F1, O13E1, O12E1, O13G1 and C′1C1 as a second group of diagonal lines relative to the side A1B1, in said equilateral triangle A1B1O′,
- a step of determining n for the equilateral triangle AnBnO′, in accordance with predetermined division number N, and plotting the equilateral triangles A1B1O′ to AnBnO′,
- a step of selecting either of the first group of straight lines or the second group of straight lines and selecting either of straight lines in the selected group to determine the reference line L,
- a step of dividing an arc of said circumscribed circle within said triangle A1OB1 into N parts by using said determined reference line L from A1 or B1, and
- a step of connecting between each of divided points on the arc of the circumscribed circle, and said point O, whereby said angle XOY is equally divided into N parts.
11 more elements
Dependencies are inferred from the claim text.