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  2. Bisection - Wikipedia

    en.wikipedia.org/wiki/Bisection

    The circle meets the angle at two points: one on each leg. Using each of these points as a center, draw two circles of the same size. The intersection of the circles (two points) determines a line that is the angle bisector. The proof of the correctness of this construction is fairly intuitive, relying on the symmetry of the problem.

  3. Dividing a circle into areas - Wikipedia

    en.wikipedia.org/wiki/Dividing_a_circle_into_areas

    The number of points (n), chords (c) and regions (r G) for first 6 terms of Moser's circle problem. In geometry, the problem of dividing a circle into areas by means of an inscribed polygon with n sides in such a way as to maximise the number of areas created by the edges and diagonals, sometimes called Moser's circle problem (named after Leo Moser), has a solution by an inductive method.

  4. Projective harmonic conjugate - Wikipedia

    en.wikipedia.org/wiki/Projective_harmonic_conjugate

    So the division ratio criterion is that they be additive inverses. Harmonic division of a line segment is a special case of Apollonius' definition of the circle. In some school studies the configuration of a harmonic range is called harmonic division.

  5. Straightedge and compass construction - Wikipedia

    en.wikipedia.org/wiki/Straightedge_and_compass...

    It can only be used to draw a line segment between two points, or to extend an existing line segment. The compass can have an arbitrarily large radius with no markings on it (unlike certain real-world compasses). Circles and circular arcs can be drawn starting from two given points: the centre and a point on the circle. The compass may or may ...

  6. Line segment - Wikipedia

    en.wikipedia.org/wiki/Line_segment

    A closed line segment includes both endpoints, while an open line segment excludes both endpoints; a half-open line segment includes exactly one of the endpoints. In geometry , a line segment is often denoted using an overline ( vinculum ) above the symbols for the two endpoints, such as in AB .

  7. Napoleon's problem - Wikipedia

    en.wikipedia.org/wiki/Napoleon's_problem

    Two circles (C2) centered at B and B', with radius AB, cross again at point C. A circle (C3) centered at C with radius AC meets (C1) at D and D'. Two circles (C4) centered at D and D' with radius AD meet at A, and at O, the sought center of (C). Note: for this to work the radius of circle (C1) must be neither too small nor too large.

  8. Tangential quadrilateral - Wikipedia

    en.wikipedia.org/wiki/Tangential_quadrilateral

    If the incircle is tangent to the sides AB, BC, CD, DA at T 1, T 2, T 3, T 4 respectively, and if N 1, N 2, N 3, N 4 are the isotomic conjugates of these points with respect to the corresponding sides (that is, AT 1 = BN 1 and so on), then the Nagel point of the tangential quadrilateral is defined as the intersection of the lines N 1 N 3 and N ...

  9. Chord (geometry) - Wikipedia

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

    Common lines and line segments on a circle, including a chord in blue. 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.

  1. Related searches division of line segment calculator with two circles side by side and 4

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