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2. Seven-dimensional cross product - Wikipedia

   en.wikipedia.org/wiki/Seven-dimensional_cross...

   In two dimensions this is a rotation through a right angle. As a further generalization, we can loosen the requirements of multilinearity and magnitude, and consider a general continuous function V d → V (where V is R n endowed with the Euclidean inner product and d ≥ 2 ), which is only required to satisfy the following two properties:

3. Heptagon - Wikipedia

   en.wikipedia.org/wiki/Heptagon

   In geometry, a heptagon or septagon is a seven-sided polygon or 7-gon.. The heptagon is sometimes referred to as the septagon, using "sept-" (an elision of septua-, a Latin-derived numerical prefix, rather than hepta-, a Greek-derived numerical prefix; both are cognate) together with the Greek suffix "-agon" meaning angle.

4. Seven-dimensional space - Wikipedia

   en.wikipedia.org/wiki/Seven-dimensional_space

   A wider family are the uniform 7-polytopes, constructed from fundamental symmetry domains of reflection, each domain defined by a Coxeter group. Each uniform polytope is defined by a ringed Coxeter-Dynkin diagram. The 7-demicube is a unique polytope from the D 7 family, and 3 21, 2 31, and 1 32 polytopes from the E 7 family.

5. Thales's theorem - Wikipedia

   en.wikipedia.org/wiki/Thales's_theorem

   In geometry, Thales's theorem states that if A, B, and C are distinct points on a circle where the line AC is a diameter, the angle ∠ ABC is a right angle. Thales's theorem is a special case of the inscribed angle theorem and is mentioned and proved as part of the 31st proposition in the third book of Euclid 's Elements . [ 1 ]

6. Degree (angle) - Wikipedia

   en.wikipedia.org/wiki/Degree_(angle)

   With the invention of the metric system, based on powers of ten, there was an attempt to replace degrees by decimal "degrees" in France and nearby countries, [note 3] where the number in a right angle is equal to 100 gon with 400 gon in a full circle (1° = 10 ⁄ 9 gon). This was called grade (nouveau) or grad.

7. Foundations of geometry - Wikipedia

   en.wikipedia.org/wiki/Foundations_of_geometry

   The fourth angle of a Lambert quadrilateral is an obtuse angle in elliptic geometry. The summit angles of a Saccheri quadrilateral are obtuse in elliptic geometry. The sum of the measures of the angles of any triangle is greater than 180° if the geometry is elliptic. That is, the defect of a triangle is negative. [80]