concyclic การใช้

• A polygon is defined to be cyclic if its vertices are all concyclic.
• Because " BFC and " BPC add up to 180? BPCF is also concyclic.
• It is so named because it passes through nine significant concyclic points defined from the triangle.
• For example, all the vertices of a regular polygon of any number of sides are concyclic.
• The cross-ratio is collinear or concyclic, reflecting the fact that every M鯾ius transformation maps generalized circles to generalized circles.
• Most of the other results discussed in the paper pertained to various concyclic points that could be constructed from the Lemoine point.
• In geometry, a plane that do not all fall on a straight line are concyclic, but four or more such points in the plane are not necessarily concyclic.
• In geometry, a plane that do not all fall on a straight line are concyclic, but four or more such points in the plane are not necessarily concyclic.
• A triangle's circumcenter, its Lemoine point, and its first two Brocard points are concyclic, with the segment from the circumcenter to the Lemoine point being a diameter.
• If parallel to the sides of a triangle, then the six points of intersection of the lines and the sides of the triangle are concyclic, in what is called the Lemoine circle.
• It states that when a convex quadrilateral is divided into four nonoverlapping triangles by its two diagonals, then the incenters of the four triangles are concyclic if and only if the quadrilateral is tangential.
• A polygon which has a circumscribed circle is called a "'cyclic polygon "'( sometimes a "'concyclic polygon "', because the vertices are concyclic ).
• A polygon which has a circumscribed circle is called a "'cyclic polygon "'( sometimes a "'concyclic polygon "', because the vertices are concyclic ).
• Lemoine also proved that if parallel to the sides of the triangle, then the six points of intersection of the lines and the sides of the triangle are concyclic, or that they lie on a circle.
• A convex quadrilateral is orthodiagonal ( has perpendicular diagonals ) if and only if the midpoints of the sides and the feet of the four altitudes are eight concyclic points, on what is called the "'eight-point circle " '.
• In any triangle all of the following nine points are concyclic on what is called the nine-point circle : the midpoints of the three edges, the feet of the three altitudes, and the points halfway between the orthocenter and each of the three vertices.
• The triangles RAC and BAQ are congruent because the second is a 60?rotation of the first about A . Hence " ARF = " ABF and " AQF = " ACF . By converse of angle in the same segment, ARBF and AFCQ are both concyclic.
• Extend all sides until they meet in five points F, G, H, I, K and draw the circumcircles of the five triangles CFD, DGE, EHA, AIB and BKC . Then the second intersection points ( other than A, B, C, D, E ), namely the new points M, N, P, R and Q are concyclic ( lie on a circle ).