Search results
Results from the WOW.Com Content Network
In geometry, the Brocard circle (or seven-point circle) is a circle derived from a given triangle. It passes through the circumcenter and symmedian point of the triangle, and is centered at the midpoint of the line segment joining them (so that this segment is a diameter ).
Brocard's most well-known contributions to mathematics are the Brocard points, the Brocard circle, and the Brocard triangle. The positive Brocard point (sometimes known as the first Brocard point) of a Euclidean plane triangle is the interior point of the triangle for which the three angles formed by two of the vertices and the point are equal.
Moreover, 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 the circumcenter and the Lemoine point is a diameter.
Dividing engine at the Museo Galileo in Florence.. There has always been a need for accurate measuring instruments. Whether it is a linear device such as a ruler or vernier or a circular device such as a protractor, astrolabe, sextant, theodolite, or setting circles for astronomical telescopes, the desire for ever greater precision has always existed.
Henri Brocard (1845–1922) – Brocard points; William Kingdon Clifford (1845–1879) – geometric algebra; Pieter Hendrik Schoute (1846–1923) Felix Klein (1849–1925) Sofia Vasilyevna Kovalevskaya (1850–1891) Evgraf Fedorov (1853–1919) Henri Poincaré (1854–1912) Luigi Bianchi (1856–1928) – differential geometry; Alicia Boole ...
The Five-Pointed Star Surrounded By A Circle, Located On The Southern Shore Of The Upper Tobol Reservoir, Shows Up Vividly On Google Maps. Image credits: Dipak Kumar Ghosh.
First, look for a circle in the square, which tells you it’s okay to dry the item in the dryer. If your square has both a circle in its center and an X through it, do not put the item in the dryer.
The line through O perpendicular to the line BC intersects the Brocard circle at another point A'. The line through O perpendicular to the line CA intersects the Brocard circle at another point B'. The line through O perpendicular to the line AB intersects the Brocard circle at another point C'. (The triangle A'B'C' is the Brocard triangle of ...