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  2. Playfair's axiom - Wikipedia

    en.wikipedia.org/wiki/Playfair's_axiom

    Two straight lines which intersect one another cannot be both parallel to the same straight line. Playfair acknowledged Ludlam and others for simplifying the Euclidean assertion. In later developments the point of intersection of the two lines came first, and the denial of two parallels became expressed as a unique parallel through the given point.

  3. Intercept method - Wikipedia

    en.wikipedia.org/wiki/Intercept_method

    The method yields a line of position (LOP) on which the observer is situated. The intersection of two or more such lines will define the observer's position, called a "fix". Sights may be taken at short intervals, usually during hours of twilight, or they may be taken at an interval of an hour or more (as in observing the Sun during the day).

  4. Line–line intersection - Wikipedia

    en.wikipedia.org/wiki/Lineline_intersection

    Assume that we want to find intersection of two infinite lines in 2-dimensional space, defined as a 1 x + b 1 y + c 1 = 0 and a 2 x + b 2 y + c 2 = 0. We can represent these two lines in line coordinates as U 1 = (a 1, b 1, c 1) and U 2 = (a 2, b 2, c 2). The intersection P′ of two lines is then simply given by [4]

  5. Nisqually Glacier - Wikipedia

    en.wikipedia.org/wiki/Nisqually_Glacier

    Perhaps the longest studied glacier on Mount Rainier, Nisqually's terminal point has been measured annually since 1918. [2] In May 1970, the glacier was measured to be moving at an average of 29 inches (740 mm) per day. [3] Between 1896 and 2021, the glacier shrank from 3.871 square miles (10.03 km 2) to 1.584 square miles (4.10 km 2). [4]

  6. Cayley–Bacharach theorem - Wikipedia

    en.wikipedia.org/wiki/Cayley–Bacharach_theorem

    d = 1: 2 and 1: two points determine a line, two lines intersect in a point, d = 2: 5 and 4: five points determine a conic, two conics intersect in four points, d = 3: 9 and 9: nine points determine a cubic, two cubics intersect in nine points, d = 4: 14 and 16. Thus these first agree for 3, and the number of intersections is larger when d > 3.

  7. Parallel postulate - Wikipedia

    en.wikipedia.org/wiki/Parallel_postulate

    If the sum of the interior angles α and β is less than 180°, the two straight lines, produced indefinitely, meet on that side. In geometry, the parallel postulate, also called Euclid's fifth postulate because it is the fifth postulate in Euclid's Elements, is a distinctive axiom in Euclidean geometry.

  8. U.S. Navy wreckage found, two crew members still missing ...

    www.aol.com/u-navy-wreckage-found-two-020600070.html

    Oct. 16—Aerial search crews located the wreckage of a U.S. Navy aircraft after a full day of combing the mountains and forests east of Mount Rainier. Two crew members piloting the EA-18G Growler ...

  9. Projective geometry - Wikipedia

    en.wikipedia.org/wiki/Projective_geometry

    There are two types, points and lines, and one "incidence" relation between points and lines. The three axioms are: G1: Every line contains at least 3 points; G2: Every two distinct points, A and B, lie on a unique line, AB. G3: If lines AB and CD intersect, then so do lines AC and BD (where it is assumed that A and D are distinct from B and C).