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  2. Apex (geometry) - Wikipedia

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

    The term apex may used in different contexts: In an isosceles triangle, the apex is the vertex where the two sides of equal length meet, opposite the unequal third side. [1] Here the point A is the apex. In a pyramid or cone, the apex is the vertex at the "top" (opposite the base). In a pyramid, the vertex is the point that is part of all the ...

  3. Straightedge and compass construction - Wikipedia

    en.wikipedia.org/wiki/Straightedge_and_compass...

    Twelve key lengths of a triangle are the three side lengths, the three altitudes, the three medians, and the three angle bisectors. Together with the three angles, these give 95 distinct combinations, 63 of which give rise to a constructible triangle, 30 of which do not, and two of which are underdefined. [13]: pp. 201–203

  4. Cavalieri's principle - Wikipedia

    en.wikipedia.org/wiki/Cavalieri's_principle

    Within the cylinder is the cone whose apex is at the center of one base of the cylinder and whose base is the other base of the cylinder. By the Pythagorean theorem , the plane located y {\displaystyle y} units above the "equator" intersects the sphere in a circle of radius r 2 − y 2 {\textstyle {\sqrt {r^{2}-y^{2}}}} and area π ( r 2 − y ...

  5. Triangle - Wikipedia

    en.wikipedia.org/wiki/Triangle

    The locus of their apex C is a line (dashed green) parallel to the base. This is the Euclidean version of Lexell's theorem . Because the ratios between areas of shapes in the same plane are preserved by affine transformations , the relative areas of triangles in any affine plane can be defined without reference to a notion of distance or squares.

  6. Base (geometry) - Wikipedia

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

    This term is commonly applied in plane geometry to triangles, parallelograms, trapezoids, and in solid geometry to cylinders, cones, pyramids, parallelepipeds, prisms, and frustums. The side or point opposite the base is often called the apex or summit of the shape.

  7. Altitude (triangle) - Wikipedia

    en.wikipedia.org/wiki/Altitude_(triangle)

    In geometry, an altitude of a triangle is a line segment through a given vertex (called apex) and perpendicular to a line containing the side or edge opposite the apex. This (finite) edge and (infinite) line extension are called, respectively, the base and extended base of the altitude.

  8. Ex-Google CEO Eric Schmidt says human operators need to ... - AOL

    www.aol.com/ex-google-ceo-eric-schmidt-163658792...

    Having a human operator is key to preventing a "Dr. Strangelove situation," Schmidt said, where "you have an automatic weapon which makes the decision on its own." "That would be terrible," he said.

  9. Spherical sector - Wikipedia

    en.wikipedia.org/wiki/Spherical_sector

    In geometry, a spherical sector, [1] also known as a spherical cone, [2] is a portion of a sphere or of a ball defined by a conical boundary with apex at the center of the sphere. It can be described as the union of a spherical cap and the cone formed by the center of the sphere and the base of the cap.