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The concept of the invertibility of a chord is primarily associated with the work of mathematicians in the field of algebraic topology and functional analysis. A significant contribution came from the mathematician Henri Poincaré, who explored the properties of chords in relation to topological spaces. However, specific references to "invertibility of a chord" may vary based on the context, as it could relate to different areas in mathematics. For a precise identification, more context is needed regarding the specific mathematical framework being discussed.
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Prove that angle subtended by chord at a point?
The question cannot be answered because it is not clear what is to be proved.
When is a Chord a diameter?
The longest chord of a circle is its diameter
What is another name for an i chord?
Another name for an i chord is the tonic minor chord. In music theory, the "i" represents the root of the minor scale, which is the first degree of the scale, and the chord is built on that note. For example, in the key of A minor, the i chord would be an A minor chord (A, C, E).
In a circle whose diameter is 20in and a chord is 6in from the center what is the length of the chord?
the chord is 4in long
Does a diameter that is perpendicular to the chord bisect the chord?
yes
Prove that angle subtended by chord at a point?
The question cannot be answered because it is not clear what is to be proved.
Does a diameter that is perpendicular to a chord bisect the chord?
Yes, any diameter which is perpendicular to a chord bisects said chord. This can be proved most easily with a picture, but is proved using a congruent triangle proof. Both triangles include the points at the center of the circle and the intersection of the diameter and chord. The other points should be the endpoints of the chord. They are congruent by hypotenuse leg; it was given that they are right triangle by the "perpendicular", the "leg" is the segment between the center of the circle and the intersection, and it is equal in both triangles because it is the same segment in both triangles. The hypotenuses are equal because both are radii of the circle. Because the triangles are congruent, their sides must be so the two halves of the chord are congruent, and therefore the chord is bisected by the diameter.
What is the property of addition?
Addition isassociative: a + (b + c) = (a + b) + c and so both can be written as a + b + c without ambiguity,commutative: a + b = b + aThere are other properties, such as closure, identity and invertibility which depend on the domain over which addition is defined. For example, over the set of positive integers, there is no identity nor invertibility. If 0 is included, then there is an identity but still no invertibility.
What is an alternative chord for the Cm ukulele chord?
An alternative chord for the Cm ukulele chord is the A major chord.
What is a chord congruent to chord ZT?
Name a chord congruent to chord ZT.
What is a good alternative chord for the B ukulele chord?
A good alternative chord for the B ukulele chord is the B7 chord.
What ukulele chord is the open chord?
It is the C6 chord.
What chord is typically considered an "open" chord on the guitar?
The chord typically considered an "open" chord on the guitar is the E major chord.
Which chord is lighter a major chord or a minor chord?
Generally, a minor chord has a darker sound.
If a radius of a circle intersects a chord then it bisects that chord?
If radius of a circle intersects a chord then it bisects the chord only if radius is perpendicular to the chord.
What is the homonym for chord?
The homonym for chord is cord.
If a radius of a circle is perpendicular to a chord at what point does it intersect the chord?
The radius of the circle that is perpendicular to a chord intersects the chord at its midpoint, so it is said to bisect the chord.
