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To the definition of an oval in a projective plane To the definition of an ovoid. In a projective plane a set Ω of points is called an oval, if: Any line l meets Ω in at most two points, and; For any point P ∈ Ω there exists exactly one tangent line t through P, i.e., t ∩ Ω = {P}.
To the definition of an ovoid: t tangent, s secant line. In projective geometry an ovoid is a sphere like pointset (surface) in a projective space of dimension d ≥ 3. Simple examples in a real projective space are hyperspheres . The essential geometric properties of an ovoid are:
To the definition of an oval: e: exterior (passing) line, t: tangent, s: secant. In projective geometry an oval is a point set in a plane that is defined by incidence properties. The standard examples are the nondegenerate conics. However, a conic is only defined in a pappian plane, whereas an oval may exist in any type of projective plane. In ...
Concretions are often ovoid or spherical in shape, although irregular shapes also occur. The word concretion is borrowed from Latin concretio ' (act of) compacting, condensing, congealing, uniting ' , itself derived from concrescere ' to thicken, condense, congeal ' , from con- ' together ' and crescere ' to grow ' .
A foreign service worker whose pregnant wife allegedly was denied emergency medical transport while stationed abroad has filed an affidavit in federal court against the Trump administration ...
An ovoid is a quadratic set and bears the same geometric properties as a sphere in a projective 3-space: 1) a line intersects an ovoid in none, one or two points and 2) at any point of the ovoid the set of the tangent lines form a plane, the tangent plane. A simple ovoid in real 3-space can be constructed by glueing together two suitable halves ...
It was noted by the Spanish that the macuahuitl was so cleverly constructed that the blades could be neither pulled out nor broken. The macuahuitl was made with either a one-handed or two-handed grip, as well as in rectangular, ovoid, or pointed forms. Two-handed macuahuitl have been described as being "as tall as a man". [13]
The years-long road that led to last week’s “SNL50” events was more than a complex programming campaign for NBCUniversal. It was a test of the company’s pipes. The Feb. 14 “SNL50: The ...