Definition of Center of curvature

1. Noun. The center of the circle of curvature.

Exact synonyms: Centre Of Curvature
Generic synonyms: Center, Centre, Midpoint

Definition of Center of curvature

1. Noun. (American English) The center of the osculating circle to a given curve at a given point. ¹

¹ Source: wiktionary.com

Lexicographical Neighbors of Center Of Curvature

center-board
center-boards
center-of-gravity
center back
center bit
center circle
center field
center fielder
center fielders
center forward
center line
center mark
center marks
center of attention
center of buoyancy
center of curvature (current term)
center of flotation
center of gravity
center of immersion
center of inertia
center of lift
center on
center punch
center punches
center spot
center spread
center stage
centeral
centerally

Literary usage of Center of curvature

Below you will find example usage of this term as found in modern and/or classical literature:

1. Elements of the Differential and Integral Calculus by William Anthony Granville (1904)
"center of curvature. If a circle be drawn through three points P0, ... The center of this circle is called the center of curvature. ..."

2. Projective Geometry by Oswald Veblen, John Wesley Young (1918)
"The center of curvature is transformed by this elation into the center of the involution on C2 in which the pairs of orthogonal lines at ..."

3. A Course in Mathematical Analysis by Édouard Goursat, Earle Raymond Hedrick (1904)
"R, cos 0, which shows that the center of curvature of ... is the projection of the center of curvature of the normal section through the same tangent line. ..."

4. Calculus by Herman William March, Henry Charles Wolff (1917)
"Center of Curvature. Through any point P of a curve infinitely many circles can be ... 111. radius of curvature, and its center the center of curvature ..."

5. The American Mathematical Monthly by Mathematical Association of America (1922)
"(1) cos 8 sin 8 To find the coordinates of the center of curvature, we solve (1) and its derivative with respect to 0, ax ain 6 , by cos B _ . cos1 B ..."

6. A Course in Mathematics: For Students of Engineering and Applied Science by Frederick Shenstone Woods, Frederick Harold Bailey (1907)
"Coordinates of center of curvature. The center of the circle described in § 191 is called the center of curvature corresponding to the point. ..."

7. The Calculus by Ellery Williams Davis, William Charles Brenke, Earle Raymond Hedrick (1912)
"the center of curvature; its coordinates are precisely the x and y of equations (1), § 154. The angle /3 which the normal makes with the ..."

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