enow.com Web Search

Search results

1. Results from the WOW.Com Content Network

2. 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").

3. Intersecting chords theorem - Wikipedia

   en.wikipedia.org/wiki/Intersecting_chords_theorem

   In Euclidean geometry, the intersecting chords theorem, or just the chord theorem, is a statement that describes a relation of the four line segments created by two intersecting chords within a circle. It states that the products of the lengths of the line segments on each chord are equal. It is Proposition 35 of Book 3 of Euclid's Elements.

4. Constant chord theorem - Wikipedia

   en.wikipedia.org/wiki/Constant_chord_theorem

   The constant chord theorem is a statement in elementary geometry about a property of certain chords in two intersecting circles. The circles k 1 {\displaystyle k_{1}} and k 2 {\displaystyle k_{2}} intersect in the points P {\displaystyle P} and Q {\displaystyle Q} .

5. 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.

6. Ptolemy's table of chords - Wikipedia

   en.wikipedia.org/wiki/Ptolemy's_table_of_chords

   Thus, for the arc of ⁠ 1 / 2 ⁠ °, the chord length is slightly more than the arc angle in degrees. As the arc increases, the ratio of the chord to the arc decreases. When the arc reaches 60°, the chord length is exactly equal to the number of degrees in the arc, i.e. chord 60° = 60. For arcs of more than 60°, the chord is less than the ...

7. Holditch's theorem - Wikipedia

   en.wikipedia.org/wiki/Holditch's_theorem

   Broman [3] gives a more precise statement of the theorem, along with a generalization. The generalization allows, for example, consideration of the case in which the outer curve is a triangle, so that the conditions of the precise statement of Holditch's theorem do not hold because the paths of the endpoints of the chord have retrograde portions (portions that retrace themselves) whenever an ...