Information om | Engelska ordet EXCIRCLES

Exempel på hur man kan använda EXCIRCLES i en mening

• He also gave a new proof of Feuerbach's theorem that the nine-point circle is tangent to the incircle and excircles of a triangle.
• The latter property also holds for the tangency point of any of the excircles with the nine–point circle: the greatest distance from this tangency to one of the original triangle's side midpoints equals the sum of the distances to the other two side midpoints.
• Since there are two such bisectors at every intersection point of the three given lines, there are four solutions to the general LLL problem (the incircle and excircles of the triangle formed by the three lines).
• In geometry, the Mandart inellipse of a triangle is an ellipse that is inscribed within the triangle, tangent to its sides at the contact points of its excircles (which are also the vertices of the extouch triangle and the endpoints of the splitters).
• Feuerbach's theorem on the tangency of the nine-point circle of a triangle with its incircle and excircles.
• It is defined as the point of concurrence of the three line segments joining each vertex of the triangle to the points of tangency formed by the opposing excircle and a larger circle that is tangent to all three excircles.
• The excircles of a triangle, as well as the triangle's inconics that are not inellipses, are externally tangent to one side and to the other two extended sides.
• Their points of tangency lie on the lines through the sides of the triangle, with each triple of circles having tangencies at the points where one of the three excircles is tangent to these lines.

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