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  2. Secant line - Wikipedia

    en.wikipedia.org/wiki/Secant_line

    In geometry, a secant is a line that intersects a curve at a minimum of two distinct points. [1] The word secant comes from the Latin word secare, ... For example, if ...

  3. Secant variety - Wikipedia

    en.wikipedia.org/wiki/Secant_variety

    A secant variety can be used to show the fact that a smooth projective curve can be embedded into the projective 3-space as follows. [2] Let be a smooth curve. Since the dimension of the secant variety S to C has dimension at most 3, if >, then there is a point p on that is not on S and so we have the projection from p to a hyperplane H, which gives the embedding :.

  4. Circular segment - Wikipedia

    en.wikipedia.org/wiki/Circular_segment

    A circular segment (in green) is enclosed between a secant/chord (the dashed line) and the arc whose endpoints equal the chord's (the arc shown above the green area). In geometry , a circular segment or disk segment (symbol: ⌓ ) is a region of a disk [ 1 ] which is "cut off" from the rest of the disk by a straight line.

  5. Secant - Wikipedia

    en.wikipedia.org/wiki/Secant

    Secant is a term in mathematics derived from the Latin secare ("to cut"). It may refer to: a secant line, in geometry; the secant variety, in algebraic geometry; secant (trigonometry) (Latin: secans), the multiplicative inverse (or reciprocal) trigonometric function of the cosine

  6. Chord (geometry) - Wikipedia

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

    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"). More generally, a chord is a line segment joining two points on any curve, for instance, on an ellipse.

  7. Power of a point - Wikipedia

    en.wikipedia.org/wiki/Power_of_a_point

    Secant-, chord-theorem. For the intersecting secants theorem and chord theorem the power of a point plays the role of an invariant: . Intersecting secants theorem: For a point outside a circle and the intersection points , of a secant line with the following statement is true: | | | | = (), hence the product is independent of line .

  8. Intersecting secants theorem - Wikipedia

    en.wikipedia.org/wiki/Intersecting_secants_theorem

    In Euclidean geometry, the intersecting secants theorem or just secant theorem describes the relation of line segments created by two intersecting secants and the ...

  9. Tangent lines to circles - Wikipedia

    en.wikipedia.org/wiki/Tangent_lines_to_circles

    By the secant-tangent theorem, the square of this tangent length equals the power of the point P in the circle C. This power equals the product of distances from P to any two intersection points of the circle with a secant line passing through P. The angle θ between a chord and a tangent is half the arc belonging to the chord.

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