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1.9. The diagonal of a square produces double the area [of the square]. [...] 1.12. The areas [of the squares] produced separately by the lengths of the breadth of a rectangle together equal the area [of the square] produced by the diagonal. 1.13. This is observed in rectangles having sides 3 and 4, 12 and 5, 15 and 8, 7 and 24, 12 and 35, 15 ...
Anthony Sawyer Horton Jr. (born July 2, 1958), [1] known professionally as Tony Horton, is an American personal trainer, author, and former actor. He is best known as the creator of the commercial home exercise regimen P90X.
I am okay with the statement "P90X claims to blablabla" if there is also content written about the hundreds of videos on Youtube by actual people using P90X. Before/after pictures. Honestly to me, this is unprecedented in an infomercial product. Most infomercial products show an actor who's like super ripped with extreme low body fat.
Examples of cyclic quadrilaterals. In Euclidean geometry, a cyclic quadrilateral (a.k.a. concyclic quadrilateral, inscribed quadrilateral), is a quadrilateral (four-sided figure) whose four vertices are concyclic (all lying on a single enclosing circle, called the circumcircle).
[10] Other theorems include: diagonals of rectangle bisect each other, diagonals of rhombus bisect at right angles, area of a square formed by joining the middle points of a square is half of original, the midpoints of a rectangle joined forms a rhombus whose area is half the rectangle, etc.
A closed subvariety of a complete variety is complete. A complex variety is complete if and only if it is compact as a complex-analytic variety. [1] The most common example of a complete variety is a projective variety, but there do exist complete non-projective varieties in dimensions 2 and higher.
In the years at Chapel Hill Bose made important discoveries on coding theory (with D.K. Ray-Chaudhuri) and constructed (with S. S. Shrikhande and E. T. Parker) a Graeco-Latin square of size 10, a counterexample to Euler's conjecture that no Graeco-Latin square of size 4k + 2 exists. In 1971, he retired at the age of 70.
A complete quadrangle (at left) and a complete quadrilateral (at right).. In mathematics, specifically in incidence geometry and especially in projective geometry, a complete quadrangle is a system of geometric objects consisting of any four points in a plane, no three of which are on a common line, and of the six lines connecting the six pairs of points.