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  2. Mathematical discussion of rangekeeping - Wikipedia

    en.wikipedia.org/wiki/Mathematical_discussion_of...

    Rangekeeping is an excellent example of the application of analog computing to a real-world mathematical modeling problem. Because nations had so much money invested in their capital ships , they were willing to invest enormous amounts of money in the development of rangekeeping hardware to ensure that the guns of these ships could put their ...

  3. Langley's Adventitious Angles - Wikipedia

    en.wikipedia.org/wiki/Langley's_Adventitious_Angles

    A quadrilateral such as BCEF is called an adventitious quadrangle when the angles between its diagonals and sides are all rational angles, angles that give rational numbers when measured in degrees or other units for which the whole circle is a rational number. Numerous adventitious quadrangles beyond the one appearing in Langley's puzzle have ...

  4. List of trigonometric identities - Wikipedia

    en.wikipedia.org/wiki/List_of_trigonometric...

    A formula for computing the trigonometric identities for the one-third angle exists, but it requires finding the zeroes of the cubic equation 4x 3 − 3x + d = 0, where is the value of the cosine function at the one-third angle and d is the known value of the cosine function at the full angle.

  5. Outline of trigonometry - Wikipedia

    en.wikipedia.org/wiki/Outline_of_trigonometry

    Angle – the angle is the figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle. Angles formed by two rays lie in a plane, but this plane does not have to be a Euclidean plane. Ratio – a ratio indicates how many times one number contains another

  6. Angle - Wikipedia

    en.wikipedia.org/wiki/Angle

    A green angle formed by two red rays on the Cartesian coordinate system. In Euclidean geometry, an angle is the figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle. [1] Angles formed by two rays are also known as plane angles as they lie in the plane that contains the rays

  7. US Supreme Court declines to let RFK Jr drop off ballot in ...

    www.aol.com/news/us-supreme-court-declines-let...

    (Reuters) -The U.S. Supreme Court denied on Tuesday a bid by former independent presidential candidate Robert F. Kennedy Jr., who has endorsed Republican Donald Trump, to be removed from the ...

  8. Proofs of trigonometric identities - Wikipedia

    en.wikipedia.org/wiki/Proofs_of_trigonometric...

    For example, the sine of angle θ is defined as being the length of the opposite side divided by the length of the hypotenuse. The six trigonometric functions are defined for every real number, except, for some of them, for angles that differ from 0 by a multiple of the right angle (90°). Referring to the diagram at the right, the six ...

  9. Forget the dealership: You can now buy a Hyundai on Amazon

    www.aol.com/finance/forget-dealership-now-buy...

    After nearly a year of waiting, Amazon users can now buy a Hyundai vehicle through the online retailer.Starting today, Amazon car shoppers in 48 cities, including New York, Los Angeles, and ...