geometry, a set of points are said to be concyclic (or cocyclic) if they lie on a common circle. A polygon whose vertices are concyclic is called a cyclic...
19 KB (2,505 words) - 08:56, 12 September 2024
can be circumscribed by a circle. The vertices of this polygon are concyclic points. All triangles are cyclic polygons. Cyclic quadrilateral, a special...
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Nine-point circle (redirect from Nine points circle)
because it passes through nine significant concyclic points defined from the triangle. These nine points are: The midpoint of each side of the triangle...
17 KB (2,114 words) - 17:57, 12 July 2024
Collinearity (redirect from Collinear points)
line segments joining the object points with their image points are all concurrent at the optical centre. Concyclic points Coplanarity Direction (geometry)...
18 KB (2,581 words) - 03:14, 9 September 2024
Ptolemy's inequality (section Four concyclic points)
distances determined by four points in the plane or in a higher-dimensional space. It states that, for any four points A, B, C, and D, the following...
11 KB (1,434 words) - 18:52, 9 November 2023
Regular polygon (section Points in the plane)
lie on a common circle (the circumscribed circle); i.e., they are concyclic points. That is, a regular polygon is a cyclic polygon. Together with the...
30 KB (3,196 words) - 03:47, 24 July 2024
Fermat point (redirect from Fermat points)
applied to the segment AF, the points ARBF are concyclic (they lie on a circle). Similarly, the points AFCQ are concyclic. ∠ARB = 60°, so ∠AFB = 120°, using...
20 KB (3,040 words) - 13:27, 17 July 2024
because it passes through nine significant concyclic points defined from the triangle. These nine points are: The midpoint of each side of the triangle...
35 KB (5,710 words) - 01:35, 12 September 2024
midpoints of the sides and the feet of the four maltitudes are eight concyclic points; the eight point circle. The center of this circle is the centroid...
15 KB (1,714 words) - 02:05, 23 November 2022
the circumcenter, the Lemoine point, and the first two Brocard points are concyclic—they all fall on the same circle, of which the segment connecting...
8 KB (1,193 words) - 05:39, 19 November 2023