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  2. Bretschneider's formula - Wikipedia

    en.wikipedia.org/wiki/Bretschneider's_formula

    Bretschneider's formula generalizes Brahmagupta's formula for the area of a cyclic quadrilateral, which in turn generalizes Heron's formula for the area of a triangle.. The trigonometric adjustment in Bretschneider's formula for non-cyclicality of the quadrilateral can be rewritten non-trigonometrically in terms of the sides and the diagonals e and f to give [2] [3]

  3. List of theorems - Wikipedia

    en.wikipedia.org/wiki/List_of_theorems

    Newton's theorem (quadrilateral) Nicomachus's theorem (number theory) Nielsen fixed-point theorem (fixed points) Nielsen–Ninomiya theorem (quantum field theory) Nielsen realization problem (geometric topology) Nielsen–Schreier theorem (free groups) Niven's theorem (number theory) No-broadcasting theorem (quantum information theory)

  4. Carl Anton Bretschneider - Wikipedia

    en.wikipedia.org/wiki/Carl_Anton_Bretschneider

    Bretschneider's formula allows for the calculation of the area of a general quadrilateral if the lengths of all sides are known. Carl Anton Bretschneider (27 May 1808 – 6 November 1878) was a mathematician from Gotha, Germany. Bretschneider worked in geometry, number theory, and history of geometry.

  5. Category:Theorems about quadrilaterals - Wikipedia

    en.wikipedia.org/wiki/Category:Theorems_about...

    Theorems about quadrilaterals and circles (6 P) Pages in category "Theorems about quadrilaterals" The following 11 pages are in this category, out of 11 total.

  6. Category:Theorems about quadrilaterals and circles - Wikipedia

    en.wikipedia.org/wiki/Category:Theorems_about...

    Download as PDF; Printable version ... Pages in category "Theorems about quadrilaterals and circles" The following 6 pages are in this category, out of 6 total ...

  7. Quadrilateral - Wikipedia

    en.wikipedia.org/wiki/Quadrilateral

    A quadric quadrilateral is a convex quadrilateral whose four vertices all lie on the perimeter of a square. [7] A diametric quadrilateral is a cyclic quadrilateral having one of its sides as a diameter of the circumcircle. [8] A Hjelmslev quadrilateral is a quadrilateral with two right angles at opposite vertices. [9]

  8. List of mathematical logic topics - Wikipedia

    en.wikipedia.org/wiki/List_of_mathematical_logic...

    Soundness theorem; Gödel's completeness theorem. Original proof of Gödel's completeness theorem; Compactness theorem; Löwenheim–Skolem theorem. Skolem's paradox; Gödel's incompleteness theorems; Structure (mathematical logic) Interpretation (logic) Substructure (mathematics) Elementary substructure. Skolem hull; Non-standard model; Atomic ...

  9. Brahmagupta's formula - Wikipedia

    en.wikipedia.org/wiki/Brahmagupta's_formula

    This formula generalizes Heron's formula for the area of a triangle. A triangle may be regarded as a quadrilateral with one side of length zero. From this perspective, as d approaches zero, a cyclic quadrilateral converges into a cyclic triangle (all triangles are cyclic), and Brahmagupta's formula simplifies to Heron's formula.

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