AO and OC are both radii of the circle. Length AO = Length OC Draw the line OB. It creates two triangles OCB and OAB. These share the length OB. The hypotenuse OB is common to both triangles ...
The second shape is not a cyclic quadrilateral. One corner does not touch the circumference. The opposite angles in a cyclic quadrilateral add up to 180°.
I was disappointed by all the explanations of Godel's theorems I've seen on the web, all of them being either too basic or far too complex. So I made my own, in which the actual means by which the ...
If you can create two different triangles with the same parts, then those parts do not prove congruence. Can you prove all the theorems? Each triangle congruence theorem uses three elements (sides and ...
My area of research is operator algebras and applications to geometry, with particular emphasis on commutative and non-commutative orbifolds and their C*-algebras. In particular, I established index ...
Schubert calculus is a collection of theorems in enumerative geometry for answering such questions ... I'll explain how to use certain combinatorial tableaux to understand the probabilities in the ...
Rigidity theorems prove that a group’s geometry determines its algebra, typically up to virtual isomorphism. Motivated by rigidity problems, we study graphically discrete groups, which impose a ...
Levi turns math and physics upside down, revealing how physics can simplify proofs and lead to quicker solutions and new theorems, and how physical solutions can illustrate ... More than half the ...
Abstract: To make the geometrical basis for soft matters with curved surfaces such as biomembranes as simple as possible, a symmetrical analytical system was developed in conventional differential ...