单词 | Droz-Farny Circles |
释义 | Droz-Farny Circles![]() Draw a Circle with center ![]() Conversely, if equal Circles are drawn about the Vertices of a Triangle,they cut the lines joining the Midpoints of the corresponding sides in six points. These points lie on aCircle whose center is the Orthocenter. If ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() If the circles equal to the Circumcircle are drawn about the Vertices of a triangle, theycut the lines joining midpoints of the adjacent sides in points of a Circle ![]() ![]() It is equivalent to the circle obtained by drawing circles with centers at the feetof the altitudes and passing through the Circumcenter. These circles cut the corresponding sides in six points on acircle ![]() Furthermore, the circles about the midpoints of the sides and passing though
Goormaghtigh, R. ``Droz-Farny's Theorem.'' Scripta Math. 16, 268-271, 1950. Johnson, R. A. Modern Geometry: An Elementary Treatise on the Geometry of the Triangle and the Circle. Boston, MA: Houghton Mifflin, pp. 256-258, 1929. |
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