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  2. Lill's method - Wikipedia

    en.wikipedia.org/wiki/Lill's_method

    Finding roots −1/2, −1/ √ 2, and 1/ √ 2 of the cubic 4x 3 +2x 2 −2x−1 showing how negative coefficients and extended segments are handled. Each number shown on a colored line is the negative of its slope and hence a real root of the polynomial. To employ the method, a diagram is drawn starting at the origin.

  3. Nine dots puzzle - Wikipedia

    en.wikipedia.org/wiki/Nine_dots_puzzle

    Thus a single line can be drawn connecting all nine dots—which would appear as three lines in parallel on the paper, when flattened out. [18] It is also possible to fold the paper flat, or to cut the paper into pieces and rearrange it, in such a way that the nine dots lie on a single line in the plane (see fold-and-cut theorem). [17]

  4. Line segment - Wikipedia

    en.wikipedia.org/wiki/Line_segment

    Analogous to straight line segments above, one can also define arcs as segments of a curve. In one-dimensional space, a ball is a line segment. An oriented plane segment or bivector generalizes the directed line segment. Beyond Euclidean geometry, geodesic segments play the role of line segments.

  5. Chord (geometry) - Wikipedia

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

    A chord (from the Latin chorda, meaning "bowstring") of a circle is a straight line segment whose endpoints both lie on a circular arc. If a chord were to be extended infinitely on both directions into a line, the object is a secant line. The perpendicular line passing through the chord's midpoint is called sagitta (Latin for "arrow").

  6. Intercept theorem - Wikipedia

    en.wikipedia.org/wiki/Intercept_theorem

    In particular it is important to assure that for two given line segments, a new line segment can be constructed, such that its length equals the product of lengths of the other two. Similarly one needs to be able to construct, for a line segment of length , a new line segment of length . The intercept theorem can be used to show that for both ...

  7. Piecewise linear function - Wikipedia

    en.wikipedia.org/wiki/Piecewise_linear_function

    The graph is made using the method of least squares to find the two segments with the best fit. The graph on the right reveals that crop yields tolerate a soil salinity up to ECe = 8 dS/m (ECe is the electric conductivity of an extract of a saturated soil sample), while beyond that value the crop production reduces.

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