power of a point sentence in Hindi
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- The power of a point is used in many geometrical definitions and proofs.
- The \ textstyle n-th power of a point process \ textstyle { N } can be equivalently defined as:
- The fundamental purpose of this weapon seems to have been to develop a sling shot with the penetrative power of a point.
- As another example, the inscribed angle theorem is the basis for several theorems related to the power of a point with respect to a circle.
- For some integer \ textstyle n = 1, 2, \ dots, the \ textstyle n-th power of a point process \ textstyle { N } is defined as:
- In elementary plane geometry, the "'power of a point "'is a real number " h " that reflects the relative distance of a given point from a given circle.
- The power of a point is also known as the point's "'circle power "'or the "'power of a circle "'with respect to the point.
- This definition can be contrasted with the definition of the " n "-factorial power of a point process for which each " n "-tuples consists of " n " points.
- For some positive integer \ textstyle n = 1, 2, \ ldots, the \ textstyle n-th factorial power of a point process \ textstyle { N } on \ textstyle \ textbf { R } ^ d is defined as:
- In the case when the algebraic curve is a circle this is not quite the same as the power of a point with respect to a circle defined in the rest of this article, but differs from it by a factor of " d " 2.
- Using the intersecting chords theorem ( also known as power of a point or secant tangent theorem ) it is possible to calculate the radius " r " of a circle given the height " H " and the width " W " of an arc:
- The summation in the above expression is performed over all \ textstyle n-tuples of distinct points, including permutations, which can be contrasted with the definition of the multiplication while the existence of various point process notation means that the " n "-th factorial power of a point process is sometimes defined using other notation.
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