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  2. Parallelogram - Wikipedia

    en.wikipedia.org/wiki/Parallelogram

    The area of the parallelogram is the area of the blue region, which is the interior of the parallelogram. The base × height area formula can also be derived using the figure to the right. The area K of the parallelogram to the right (the blue area) is the total area of the rectangle less the area of the two orange triangles. The area of the ...

  3. Area - Wikipedia

    en.wikipedia.org/wiki/Area

    It follows that the area of the parallelogram is the same as the area of the rectangle: [2] A = bh (parallelogram). A parallelogram split into two equal triangles.

  4. Hooper's paradox - Wikipedia

    en.wikipedia.org/wiki/Hooper's_paradox

    The length of the shorter side at the right angle measures 2 units in the original shape but only 1.8 units in the rectangle. This means, the real triangles of the original shape overlap in the rectangle. The overlapping area is a parallelogram, the diagonals and sides of which can be computed via the Pythagorean theorem.

  5. Pappus's area theorem - Wikipedia

    en.wikipedia.org/wiki/Pappus's_area_theorem

    Pappus's area theorem describes the relationship between the areas of three parallelograms attached to three sides of an arbitrary triangle. The theorem, which can also be thought of as a generalization of the Pythagorean theorem , is named after the Greek mathematician Pappus of Alexandria (4th century AD), who discovered it.

  6. Signed area - Wikipedia

    en.wikipedia.org/wiki/Signed_area

    The propositions in Book I concern the properties of triangles and parallelograms, including for example that parallelograms with the same base and in the same parallels are equal and that any triangle with the same base and in the same parallels has half the area of these parallelograms, and a construction for a parallelogram of the same area ...

  7. Quadrilateral - Wikipedia

    en.wikipedia.org/wiki/Quadrilateral

    The area of the Varignon parallelogram equals half the area of the original quadrilateral. This is true in convex, concave and crossed quadrilaterals provided the area of the latter is defined to be the difference of the areas of the two triangles it is composed of.

  8. Could an innovative nasal spray delay Alzheimer’s by 10 years ...

    www.aol.com/could-innovative-nasal-spray-delay...

    An experimental nasal spray has helped clear toxic protein buildups in the brains of mouse models of Alzheimer's. Its developers believe the spray may help delay Alzheimer's by at least a decade.

  9. Parallelepiped - Wikipedia

    en.wikipedia.org/wiki/Parallelepiped

    4 parallelograms The parallelepiped with O h symmetry is known as a cube , which has six congruent square faces. The parallelepiped with D 4h symmetry is known as a square cuboid , which has two square faces and four congruent rectangular faces.