Spieker circle of △ABC (incircle of the medial triangle; centered at the Spieker center X10)
Cleavers of the triangle (concurrent at the Spieker center)
In geometry, the incircle of the medial triangle of a triangle is the Spieker circle, named after 19th-century German geometer Theodor Spieker.[1] Its center, the Spieker center, in addition to being the incenter of the medial triangle, is the center of mass of the uniform-density boundary of triangle.[1] The Spieker center is also the point where all three cleavers of the triangle (perimeter bisectors with an endpoint at a side's midpoint) intersect each other.[1]
^ abcCite error: The named reference :05 was invoked but never defined (see the help page).
triangle of a triangle is the Spiekercircle, named after 19th-century German geometer Theodor Spieker. Its center, the Spieker center, in addition to being...
of the circle and the centre is called the radius. The circle has been known since before the beginning of recorded history. Natural circles are common...
cleavers concur at the center of the Spiekercircle, which is the incircle of the medial triangle; the Spieker center is the center of mass of all the...
perimeter), and the center of the Spiekercircle are collinear in a line called a cleaver of the triangle. (The Spiekercircle is the incircle of the medial...
△ABC is the center of the circle inscribed in the medial triangle of △ABC. This circle is known as the Spiekercircle. The Spieker center is also located...
circle Schoch circlesSpiekercircle Tangent circles Taylor circle Twin circles Unit circle Van Lamoen circle Villarceau circles Woo circlesCircle-derived...
mathematics. Spieker is the namesake of the Spiekercircle of a triangle (the circle inscribed in its medial triangle) and the Spieker center (the center...
The three cleavers concur at (all pass through) the center of the Spiekercircle, which is the incircle of the medial triangle. The cleavers are parallel...
of the three sides. The three cleavers concur at the center of the Spiekercircle, which is the incircle of the medial triangle. A splitter of a triangle...
point X(9) Mittenpunkt symmedian point of the triangle formed by the centers of the three excircles X(10) Spieker center center of the Spiekercircle...
"Nagel Point". MathWorld. Spieker Conic and generalization of Nagel line at Dynamic Geometry Sketches Generalizes Spiekercircle and associated Nagel line...
Similarity system of triangles Simson line Special right triangles Spieker center Spiekercircle Spiral of Theodorus Splitter (geometry) Steiner circumellipse...
a triangle all intersect each other at the triangle's Spieker center. The perimeter of a circle, often called the circumference, is proportional to its...
Publications 1963). Commandino's theorem Projective range Screw theory Spiekercircle O'Connor, John J.; Robertson, Edmund F. "Julian Coolidge". MacTutor...
perimeter, with uniform linear density, then the center of mass lies at the Spieker center (the incenter of the medial triangle), which does not (in general)...
1908 – Marborn, Steinau an der Strasse, Main-Kinzig, Germany Wilhelm Spieker (Arkadius Maria) Born: November 10, 1910 – Kassel, Germany Joseph Hastreiter...
It has respective centers such as incenter, circumcenter, excenters, Spieker center and points such as a centroid. However, there is generally no orthocenter...
components are equal so all centers coincide with the centroid. So, like a circle, an equilateral triangle has a unique center. Let f ( a , b , c ) = { −...
Herbert Lom Drama Italian-West German co-production Drücker Franz-Josef Spieker Frithjof Vierock [de], Margarethe von Trotta, Renate Roland [de], Rosemarie...
main buildings, Mullin, Cornell, Entrepreneurs, and Gold, form an inner circle at the corner of Sunset Boulevard and Westwood Plaza, which is the extension...
On the other hand, the proposed move to Houston was considered in some circles to be little more than a ploy to win concessions from the NFL, which presumably...
Walddörfer-Gymnasium (designed by the architect Fritz Schumacher[citation needed]) De Spieker. Gesellschaft für Heimatpflege und Heimatforschung in den Hamburgischen...
Global Information