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  2. Jacobi's theorem (geometry) - Wikipedia

    en.wikipedia.org/wiki/Jacobi's_theorem_(geometry)

    Adjacent colored angles are equal in measure. The point N is the Jacobi point for triangle ABC and these angles. In plane geometry, a Jacobi point is a point in the Euclidean plane determined by a triangle ABC and a triple of angles α, β, γ.

  3. Sternal angle - Wikipedia

    en.wikipedia.org/wiki/Sternal_angle

    The sternal angle (also known as the angle of Lewis, [1] angle of Louis, [2]: 297 angle of Ludovic, or manubriosternal junction [citation needed]) is the projecting [2]: 297 angle formed between the manubrium and body of a sternum at their junction at the manubriosternal joint. [2]: 297 [3]

  4. Hilbert's theorem (differential geometry) - Wikipedia

    en.wikipedia.org/wiki/Hilbert's_theorem...

    In differential geometry, Hilbert's theorem (1901) states that there exists no complete regular surface of constant negative gaussian curvature immersed in . This theorem answers the question for the negative case of which surfaces in R 3 {\displaystyle \mathbb {R} ^{3}} can be obtained by isometrically immersing complete manifolds with ...

  5. Lie group - Wikipedia

    en.wikipedia.org/wiki/Lie_group

    The literature is not entirely uniform in its terminology as to exactly which properties of infinite-dimensional groups qualify the group for the prefix Lie in Lie group. On the Lie algebra side of affairs, things are simpler since the qualifying criteria for the prefix Lie in Lie algebra are purely algebraic. For example, an infinite ...

  6. Unit circle - Wikipedia

    en.wikipedia.org/wiki/Unit_circle

    The trigonometric functions cosine and sine of angle θ may be defined on the unit circle as follows: If (x, y) is a point on the unit circle, and if the ray from the origin (0, 0) to (x, y) makes an angle θ from the positive x-axis, (where counterclockwise turning is positive), then ⁡ = ⁡ =.

  7. Cyclic quadrilateral - Wikipedia

    en.wikipedia.org/wiki/Cyclic_quadrilateral

    Any square, rectangle, isosceles trapezoid, or antiparallelogram is cyclic. A kite is cyclic if and only if it has two right angles – a right kite.A bicentric quadrilateral is a cyclic quadrilateral that is also tangential and an ex-bicentric quadrilateral is a cyclic quadrilateral that is also ex-tangential.

  8. Transversal (geometry) - Wikipedia

    en.wikipedia.org/wiki/Transversal_(geometry)

    A transversal produces 8 angles, as shown in the graph at the above left: 4 with each of the two lines, namely α, β, γ and δ and then α 1, β 1, γ 1 and δ 1; and; 4 of which are interior (between the two lines), namely α, β, γ 1 and δ 1 and 4 of which are exterior, namely α 1, β 1, γ and δ.

  9. Handkerchief code - Wikipedia

    en.wikipedia.org/wiki/Handkerchief_code

    The handkerchief code (also known as the hanky code, the bandana code, and flagging) [1] is a system of color-coded cloth handkerchief or bandanas for non-verbally communicating one's interests in sexual activities and fetishes. The color of the handkerchief identifies a particular activity, and the pocket it is worn in (left or right ...