Dividing the Sides of a Triangle in Proportional Parts
Paulus Gerdes (2003)
Visual Mathematics
Similarity:
Displaying similar documents to “Pascal like triangles and Sierpinski like gaskets”
Dividing the Sides of a Triangle in Proportional Parts
Cutting circles and the Morley theorem.
Stammler, Ludwig (1997)
Beiträge zur Algebra und Geometrie
Similarity:
On the existence of triangle with given angle and opposite angle bisectors length.
Bukor, József (2008)
Annales Mathematicae et Informaticae
Similarity:
Two Remarkable Families of Equilateral Triangles within the Pascal Hexagon - A Triumph for Symmetry
Peter Hilton, Jean Pedersen (1999)
Visual Mathematics
Similarity:
Hyperbolas and orthologic triangles.
Čerin, Z. (1997)
Mathematica Pannonica
Similarity:
Tilings of the sphere with right triangles. II: The , subfamily.
Dawson, Robert J. MacG., Doyle, Blair (2006)
The Electronic Journal of Combinatorics [electronic only]
Similarity:
Circumcenter, Circumcircle and Centroid of a Triangle
Roland Coghetto (2016)
Formalized Mathematics
Similarity:
We introduce, using the Mizar system [1], some basic concepts of Euclidean geometry: the half length and the midpoint of a segment, the perpendicular bisector of a segment, the medians (the cevians that join the vertices of a triangle to the midpoints of the opposite sides) of a triangle. We prove the existence and uniqueness of the circumcenter of a triangle (the intersection of the three perpendicular bisectors of the sides of the triangle). The extended law of sines and the formula...
Cevians as sides of triangles.
Čerin, Zvonko (2000)
Mathematica Pannonica
Similarity:
Some remarks on the triangle inequality for norms.
Maligranda, Lech (2008)
Banach Journal of Mathematical Analysis [electronic only]
Similarity:
Tilings of the sphere with right triangles. III: The asymptotically obtuse families.
Dawson, Robert J.Macg., Doyle, Blair (2007)
The Electronic Journal of Combinatorics [electronic only]
Similarity:
The envelope of the Wallace-Simpson lines of a triangle. A simple proof of the Steiner problem on the deltoid.
Miguel de Guzmán (2001)
RACSAM
Similarity:
A simple proof is presented of a famous, and difficult, theorem by Jakob Steiner. By means of a straightforward transformation of the triangle, the proof of the theorem is reduced to the case of the equilateral triangle. Several relations of the Steiner deltoid with the Feuerbach circle and the Morley triangle appear then as obvious.
Altitude, Orthocenter of a Triangle and Triangulation
Roland Coghetto (2016)
Formalized Mathematics
Similarity:
We introduce the altitudes of a triangle (the cevians perpendicular to the opposite sides). Using the generalized Ceva’s Theorem, we prove the existence and uniqueness of the orthocenter of a triangle [7]. Finally, we formalize in Mizar [1] some formulas [2] to calculate distance using triangulation.
Symmetries in Steinhaus triangles and in generalized Pascal triangles.
Brunat, Josep M., Maureso, Montserrat (2011)
Integers
Similarity: