Research Experience for Undergraduates

Bibliography for Curvature

Unabridged

 

  1. The Circle of Curvature: It's a Limit!  
    John Mathews  
    The AMATYC Review, Vol. 25, No. 1, Fall 2003    , pp. 57-63.  
  2. Measuring a curvature radius with directional wavelets
    Antoine, J.-P.; Jacques, L.
    Conference Series- Institute of Physics, 2003, vol. 173, pp. 899-904, Ingenta.   
  3. Defining the measurand in radius of curvature measurements
    Davies, A.; Schmitz, T. L.
    Proceedings- Spie the International Society for Optical Engineering, 2003, no. 5190, pp. 134-145, Ingenta.   
  4. Analysis on tooth surface curvature of equal-base-circle bevel gear
    Gong, Yun-Peng; Li, Wei-Ping; Zhang, Wei-Hua  
    Dongbei Daxue Xuebao/Journal of Northeastern University, v 24, n 9, September, 2003, p 858-861, Compendex.
  5. Traceable radius of curvature measurements on a micro-interferometer
    Karodkar, Devendra; Gardner, Neil; Bergner, Brent C.; Davies, Angela  
    Proceedings of SPIE - The International Society for Optical Engineering, v 5180, 2003, p 261-273, Compendex.
  6. The radius of curvature of a coupler curve of the single flier eight-bar linkage
    Pennock, Gordon R.; Kinzel, Edward C.  
    Proceedings of the ASME Design Engineering Technical Conference, v 2 B, 2003, p 1213-1219, Compendex.
  7. Radii of curvature of plane projections of convex bodies in Rn. (Russian)  
    Aramyan, R. G.
    Izv. Nats. Akad. Nauk Armenii Mat.  37  (2002),  no. 1, 7--18 (2003);  translation in  J. Contemp. Math. Anal.  37  (2002),  no. 1, 2--13, MathSciNet, MathSciNet.  
  8. Discrete Curvature Based on Osculating Circle Estimation
    Coeurjolly, D.; Miguet, S.; Tougne, L.
    Lecture Notes in Computer Science, 2001, no. 2059, pp. 303-312, Ingenta.  
  9. The mean radius of curvature of an exponential family
    Abdelhamid, H.; Afif, M.
    Statistics and Probability Letters, 2001, vol. 55, no. ER2, pp. 213-220, Ingenta.   
  10. Stability of n-covered circles for elastic rods with constant planar intrinsic curvature.
    Manning, Robert S.; Hoffman, Kathleen A.
    J. Elasticity 62 (2001), no. 1, 1--23, MathSciNet.  
  11. On the curvature of circles and curves in Hn.
    Czarnecki, Maciej
    Demonstratio Math. 34 (2001), no. 1, 181--186, MathSciNet.  
  12. Automatic measurements of the radius of curvature of the cornea in slit lamp
    Ventura, L.; Marcio, A.; Messias, V.; Sousa, S.J.F.  
    Annual International Conference of the IEEE Engineering in Medicine and Biology - Proceedings, v 2, 2000, p 864-867, Compendex.  
  13. Definition of Curvature Radius of Upper Guide Wedge Approximated by Arc Circle
    Koval, A. A.
    Izvestiia- Vysshie Uchebnye Zavedeniia Tekhnologiia Tekstil'noi Promyshlennosti, 2000, no. 5, pp. 78-81, Ingenta.  
  14. Circles of curvature for curves in space.
    Boehm, Wolfgang
    Dedicated to Paul de Faget de Casteljau. Comput. Aided Geom. Design 16 (1999), no. 7, 633--638, MathSciNet.  
  15. Euclidean circles of curvature for geodesics of conformal metrics.
    Minda, David
    Computational methods and function theory 1997 (Nicosia), 397--403, Ser. Approx. Decompos., 11, World Sci. Publishing, River Edge, NJ, 1999, MathSciNet.  
  16. The Bull and the Silo: An Application of Curvature (in Notes)  
    Michael E. Hoffman  
    The American Mathematical Monthly, Vol. 105, No. 1. (Jan., 1998), pp. 55-58, Jstor.  
  17. Curvature and Torsion of Infinitely Repeating DNA Sequences: A Geometric Investigation  
    M. A. El Hassan; C. R. Calladine  
    Proceedings: Mathematical, Physical and Engineering Sciences, Vol. 453, No. 1957. (Feb. 8, 1997), pp. 365-386, Jstor.  
  18. A Front Dynamics Approach to Curvature-Dependent Flow  
    D. W. Schwendeman  
    SIAM Journal on Applied Mathematics, Vol. 56, No. 6. (Dec., 1996), pp. 1523-1538, Jstor.  
  19. Curvature and Frustration in Cellular Systems  
    Nicolas Rivier; Tomaso Aste  
    Philosophical Transactions: Mathematical, Physical and Engineering Sciences, Vol. 354, No. 1715, Curved Surfaces in Chemical Structure. (Sep. 16, 1996), pp. 2055-2069, Jstor.  
  20. Radius of Curvature and Entraining Velocity of Cam Follower Mechanisms.
    Matthews, J.; Sadeghi, F.; Cipra, R.J.
    Tribology transactions, 1996, vol. 39, no. 4, pp. 899-907, Ingenta.   
  21. Searching for curvature center of moving points path by using the inflection circle
    Wu, Paifang  
    Jixie Kexue Yu Jishu/Mechanical Science and Technology, v 15, n 2, Mar, 1996, p 255 Language: Chinese, English, Compendex.
  22. Curvature Induced Dynamical Symmetry Restoration in Einstein Universe (R crossed circle SD-1)
    Ishikawa, K.; Inagaki, T.; Muta, T.  
    Modern Physics Letter A, v 11, n 11, 1996, p 939, Compendex.
  23. New method of measuring radius of curvature of laser resonator reflector
    Shan, Juhai   
    Jiguang Zazhi/Laser Journal, v 17, n 3, June, 1996, p 132-133, Compendex.
  24. Convergence of a Crystalline Algorithm for the Motion of a Simple Closed Convex Curve by Weighted Curvature  
    Pedro Martins Girao  
    SIAM Journal on Numerical Analysis, Vol. 32, No. 3. (Jun., 1995), pp. 886-899, Jstor.  
  25. Recursive Algorithm in Radius of Curvature Measurement.
    Dich, L.Z.
    Measurement techniques, 1995, vol. 38, no. 4, pp. 411, Ingenta.   
  26. The Mohr circle for curvature and its application to fold description
    Lisle, R.J.; Robinson, J.M.  
    Journal of Structural Geology, v 17, n 5, May, 1995, p 739, Compendex.
  27. Total radius of curvature.  
    Krawczyk, Jerzy
    Zesz. Nauk. Uniw. Opol. Mat.  29  (1995), 95--96, MathSciNet.  
  28. On Length and Curvature (in Notes)  
    Hao Jiang; Jeffrey Nunemacher  
    Mathematics Magazine, Vol. 67, No. 5. (Dec., 1994), pp. 375-376, Jstor.  
  29. On the curvature radius of boundaries of constant width sets.  
    Stefani, Oscar
    Atti Sem. Mat. Fis. Univ. Modena  42  (1994),  no. 1, 183--188, MathSciNet.  
  30. Radius of curvature of a sound beam in an inhomogeneous moving medium
    Abramov, N.G.  
    Atmospheric and Oceanic Optics(English Edition of the Journal Optika Atmosfery i Okeana), v 7, n 7, Jul, 1994, p 499, Compendex.
  31. Regular Simplices in Spaces of Constant Curvature (in Notes)  
    Horst Martini  
    The American Mathematical Monthly, Vol. 100, No. 2. (Feb., 1993), pp. 169-171, Jstor.  
  32. Estimation of the curvature of the images of circles under their mapping by convex functions that are univalent in the disk. (Russian)
    Yugai, S. M.
    Mat. Zametki 53 (1993), no. 1, 133--137, 157; translation in Math. Notes 53 (1993), no. 1-2, 92--95, MathSciNet.  
  33. A Regularized Equation for Anisotropic Motion-by-Curvature  
    Antonio Di Carlo; Morton E. Gurtin; Paolo Podio-Guidugli  
    SIAM Journal on Applied Mathematics, Vol. 52, No. 4. (Aug., 1992), pp. 1111-1119, Jstor.  
  34. On estimates for the curvature and deviation of images of circles under univalent conformal mappings. (Russian)
    Yugai, S. M.
    External problems of the theory of functions, 7 (Russian), 3--10, 117, Tomsk. Gos. Univ., Tomsk, 1992, MathSciNet.  
  35. Algorithms for the approximation of corneal contour and radius of curvature.  
    Karpouzas, Ioanis
    Cybernetica  34  (1991),  no. 3, 147--171, MathSciNet.  
  36. Unified Spherical Curvature Theory of Point-, Plane-, and Circle-Paths.
    Ting, Kwun-Lon; Bunduwongse, Ruj
    Journal of Mechanisms, Transmissions, and Automation in Design, v 113, n 2, Jun, 1991, p 142-149, Compendex.  
  37. Defining the Effective Radius of Curvature for a Nonideal Optical Beam.
    Siegman, A.E.
    IEEE journal of quantum electronics, 1991, vol. 27, no. 5, pp. 1146, Ingenta.  
  38. On the effect of curvature on the nodal circles of bell modes
    Murra, I.A.; Gladwell, G.M.L.  
    Journal of Sound and Vibration, v 150, n 2, Oct 22, 1991, p 317-321, Compendex.
  39. Method of operative control of the radius of curvature and reflection losses of optical cavity mirrors
    Pinayev, I.V.; Sokolov, A.S.; Vinokurov, N.A.  
    Nuclear Instruments & Methods in Physics Research, Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, v 304, n 1-3, Jul 1, 1991, p 786, Compendex.
  40. Curvature in the Eighties  
    Robert Osserman  
    The American Mathematical Monthly, Vol. 97, No. 8, Special Geometry Issue. (Oct., 1990), pp. 731-756, Jstor.  
  41. Good approximation of circles by curvature-continuous Bézier curves.
    Dokken, Tor; Dæhlen, Morten; Lyche, Tom; Mørken, Knut
    Curves and surfaces in CAGD '89 (Oberwolfach, 1989). Comput. Aided Geom. Design 7 (1990), no. 1-4, 33--41, MathSciNet.  
  42. Geodesic circles and total curvature.
    Maeda, Masao
    Yokohama Math. J. 36 (1989), no. 2, 91--103, MathSciNet.  
  43. A new method using the circles of curvature for solving equations in R1.
    Park, Bong-kyu; Hitotumatu, Sin
    Publ. Res. Inst. Math. Sci. 24 (1988), no. 2, 249--252, MathSciNet.  
  44. Curvature, Circles, and Conformal Maps (in Notes)  
    Alan F. Beardon  
    The American Mathematical Monthly, Vol. 94, No. 1. (Jan., 1987), pp. 48-53, Jstor.  
  45. Some Plane Curvature Approximations  
    R. C. Mjolsness; Blair Swartz  
    Mathematics of Computation, Vol. 49, No. 179. (Jul., 1987), pp. 215-230, Jstor.  
  46. Parallel Translation of Curvature Along Geodesics  
    James J. Hebda  
    Transactions of the American Mathematical Society, Vol. 299, No. 2. (Feb., 1987), pp. 559-572, Jstor.  
  47. Marginal Curvatures and Their Usefulness in the Analysis of Nonlinear Regression Models (in Theory and Methods)  
    G. P. Y. Clarke
    Journal of the American Statistical Association, Vol. 82, No. 399. (Sep., 1987), pp. 844-850, Jstor.  
  48. Principal Lines on Surfaces Immersed With Constant Mean Curvature  
    C. Gutierrez; J. Sotomayor  
    Transactions of the American Mathematical Society, Vol. 293, No. 2. (Feb., 1986), pp. 751-766, Jstor.  
  49. The Principal Curvatures of the Monkey Saddle (in Notes)  
    Thomas E. Cecil; Patrick J. Ryan  
    The American Mathematical Monthly, Vol. 93, No. 5. (May, 1986), pp. 380-382, Jstor.  
  50. Curvatures for Parameter Subsets in Nonlinear Regression  
    R. Dennis Cook; Miriam L. Goldberg  
    The Annals of Statistics, Vol. 14, No. 4. (Dec., 1986), pp. 1399-1418, Jstor.  
  51. Cut locus and parallel circles of a closed curve on a Riemannian plane admitting total curvature.  
    Shiohama, Katsuhiro
    Comment. Math. Helv.  60  (1985),  no. 1, 125--138, MathSciNet.  
  52. On the representation by a parametric cubic spline of a curve with given inclinations of tangents and with radii of curvature at the ends. (Russian)  
    Isaev, V. K.; Grigor'ev, E. A.
    Vychisl. Sistemy  No. 108 (1985), 63--77, 129, MathSciNet.  
  53. Krümmungsabhängige Schrittweitensteuerung ohne höhere als erste Ableitung durch Nutzung eines kreisnahen Polygonstreifenmodells. (German)
    [Curvature-dependent step-size control by a derivative no higher than the first, using circle-like polygonal strip models]
    Geise, Gerhard; Harms, Susanne; Stammler, Ludwig; Uhlig, Andreas
    Beiträge Algebra Geom. No. 17 (1984), 83--109, MathSciNet.  
  54. Two notes on the circle-curvature method of fairing. (Chinese)
    Xu, Pei Jun
    Zhejiang Daxue Xuebao 1983, no. 1, 120--125, MathSciNet.  
  55. Zur Konstruktion des Krümmungskreises einer Ellipse in einem allgemeinen Ellipsenpunkt. (German)
    [On the construction of the circle of curvature of an ellipse in a general ellipse point]
    Sieber, Helmut
    Praxis Math. 25 (1983), no. 8, 237--244, MathSciNet.  
  56. Mean Curvature, The Laplacian, and Soap Bubbles  
    Robert C. Reilly  
    The American Mathematical Monthly, Vol. 89, No. 3. (Mar., 1982), pp. 180-188+197-198, Jstor.  
  57. Probabilistic Version of a Curvature Formula (in Short Communications)  
    Vladimir Drobot  
    The Annals of Probability, Vol. 10, No. 3. (Aug., 1982), pp. 860-862, Jstor.  
  58. The Length of a Curve in a Space of Curvature < K  
    B. V. Dekster  
    Proceedings of the American Mathematical Society, Vol. 79, No. 2. (Jun., 1980), pp. 271-278, Jstor.  
  59. Formulae for the Curvatures of Circles in Chains  
    M. D. Fox  
    The American Mathematical Monthly, Vol. 87, No. 9. (Nov., 1980), pp. 708-715, Jstor.  
  60. A Curvature Formula  
    Andrew M. Gleason  
    American Journal of Mathematics, Vol. 101, No. 1. (Feb., 1979), pp. 86-93, Jstor.  
  61. A Geometric Inequality for Plane Curves with Restricted Curvature  
    G. D. Chakerian; H. H. Johnson; A. Vogt  
    Proceedings of the American Mathematical Society, Vol. 57, No. 1. (May, 1976), pp. 122-126, Jstor.  
  62. The Curvature of Level Curves  
    Dorothy Browne Shaffer  
    Transactions of the American Mathematical Society, Vol. 158, No. 1. (Jul., 1971), pp. 143-150, Jstor.  
  63. Critical Points and Curvature for Embedded Polyhedral Surfaces  
    T. F. Banchoff  
    The American Mathematical Monthly, Vol. 77, No. 5. (May, 1970), pp. 475-485, Jstor.  
  64. On the radius of curvature for convex analytic functions.  
    Eenigenburg, Paul
    Canad. J. Math.  22  1970 486--491, MathSciNet.  
  65. Curvature and Arclength  
    H. G. Robertson  
    SIAM Journal on Applied Mathematics, Vol. 19, No. 4. (Dec., 1970), pp. 697-699, Jstor.  
  66. Hyperspheres in Spaces of Constant Curvature (in Mathematical Notes)  
    C. M. Fulton  
    The American Mathematical Monthly, Vol. 76, No. 1. (Jan., 1969), pp. 43-44, Jstor.  
  67. A Note on Curvatures Associated with a Vector Field (in Brief Versions)  
    R. N. Kaul  
    The American Mathematical Monthly, Vol. 75, No. 1. (Jan., 1968), pp. 49-50, Jstor.  
  68. A Theorem on Spaces of Constant Curvature (in Mathematical Notes)  
    C. M. Fulton  
    The American Mathematical Monthly, Vol. 74, No. 5. (May, 1967), pp. 565-566, Jstor.  
  69. Higher Curvatures of Curves in Euclidean Space, II  
    Herman Gluck  
    The American Mathematical Monthly, Vol. 74, No. 9. (Nov., 1967), pp. 1049-1056, Jstor.  
  70. Constructions for Certain Circles of Curvature and Related Extreme Problems  
    Herta Taussig Freitag; Arthur H. Freitag  
    Mathematics Magazine, Vol. 40, No. 3. (May, 1967), pp. 145-150, Jstor.  
  71. Plane Pursuit with Curvature Constraints  
    Ernest Cockayne  
    SIAM Journal on Applied Mathematics, Vol. 15, No. 6. (Nov., 1967), pp. 1511-1516, Jstor.  
  72. Curvature by Normal Line Convergence  
    Jerome A. Seiner  
    Mathematics Magazine, Vol. 39, No. 3. (May, 1966), pp. 147-148, Jstor.  
  73. Higher Curvatures of Curves in Euclidean Space  
    Herman Gluck  
    The American Mathematical Monthly, Vol. 73, No. 7. (Aug. - Sep., 1966), pp. 699-704, Jstor.  
  74. On the Curvature of the Level Lines of a Harmonic Function  
    R. P. Jerrard; L. A. Rubel  
    Proceedings of the American Mathematical Society, Vol. 14, No. 1. (Feb., 1963), pp. 29-32, Jstor.  
  75. The Circles of Curvature of the Curves of Steepest Descent of Green's Function  
    J. L. Walsh  
    The American Mathematical Monthly, Vol. 68, No. 4. (Apr., 1961), pp. 323-329, Jstor.  
  76. Plane Motion with Curvature Limitations  
    Z. A. Melzak  
    Journal of the Society for Industrial and Applied Mathematics, Vol. 9, No. 3. (Sep., 1961), pp. 422-432, Jstor.  
  77. Curvatures of rn = cos nt (in Classroom Notes)  
    Robert C. Yates  
    The American Mathematical Monthly, Vol. 67, No. 3. (Mar., 1960), pp. 275-278, Jstor.  
  78. Angle of Inclination and Curvature (in Teaching of Mathematics)  
    David Gans  
    Mathematics Magazine, Vol. 31, No. 1. (Sep. - Oct., 1957), pp. 31-32, Jstor.  
  79. On Curves of Minimal Length with a Constraint on Average Curvature, and with Prescribed Initial and Terminal Positions and Tangents  
    L. E. Dubins  
    American Journal of Mathematics, Vol. 79, No. 3. (Jul., 1957), pp. 497-516, Jstor.  
  80. Centers of Curvatures of a Vector Field  
    T. K. Pan  
    Proceedings of the American Mathematical Society, Vol. 7, No. 2. (Apr., 1956), pp. 292-298, Jstor.  
  81. On the Curvatures of a Surface  
    Aurel Wintner  
    American Journal of Mathematics, Vol. 78, No. 1. (Jan., 1956), pp. 117-136, Jstor.  
  82. A Generalized Theorem of Center of Geodesic Curvature (in Mathematical Notes)  
    T. K. Pan  
    The American Mathematical Monthly, Vol. 62, No. 10. (Dec., 1955), pp. 717-718, Jstor.  
  83. On a new trigonometric series for the radius of curvature of a normal section of the terrestrial ellipsoid. (Russian)  
    Lyapin, N. M.
    Rostov. Gos. Ped. Inst. U\v c. Zap.  1955  (1955), no. 3, 89--94, MathSciNet.  
  84. On the possiblity to determine the radius of curvature of intergalactic space and the rate of increase of this radius by astronomical observation.  
    Kooy, J. M. J.
    Simon Stevin  30,  (1955), MathSciNet.
  85. On the Curvatures of a Surface  
    Philip Hartman; Aurel Wintner  
    American Journal of Mathematics, Vol. 75, No. 1. (Jan., 1953), pp. 127-141, Jstor.  
  86. Relation between the principal radii of curvature and the unit normal of a surface. (Greek)  
    Sakellariou, Neilos
    Prakt. Akad. Athenon  28  (1953), 392--395 (1954), MathSciNet.  
  87. The Unsatisfactory Story of Curvature  
    J. L. Coolidge  
    The American Mathematical Monthly, Vol. 59, No. 6. (Jun. - Jul., 1952), pp. 375-379, Jstor.  
  88. On the Total Curvature of Knots  
    J. W. Milnor  
    The Annals of Mathematics, 2nd Ser., Vol. 52, No. 2. (Sep., 1950), pp. 248-257, Jstor.  
  89. Some Convexity Properties of Surfaces of Negative Curvature  
    E. F. Beckenbach  
    The American Mathematical Monthly, Vol. 55, No. 5. (May, 1948), pp. 285-301, Jstor.  
  90. The Curvatures of the Polar Curves of a General Algebraic Curve  
    Edward Kasner; John De Cicco  
    The American Mathematical Monthly, Vol. 54, No. 5. (May, 1947), pp. 263-268, Jstor.  
  91. Theorems on geodesic circles and the Gaussian curvature. (Spanish)
    Vázquez García, Roberto; Barros Sierra, Javier
    Bol. Soc. Mat. Mexicana 3, (1946). 45--56, MathSciNet.  
  92. Notes on Curvature of Curves and Surfaces  
    H. J. Hamilton  
    The American Mathematical Monthly, Vol. 47, No. 9. (Nov., 1940), pp. 613-620, Jstor.  
  93. We Discover the Meaning of Curvature (in The Teacher's Department)  
    Edwin G. Olds  
    National Mathematics Magazine, Vol. 14, No. 8. (May, 1940), pp. 469-471, Jstor.  
  94. On the Circles of Curvature of the Images of Circles under a Conformal Map  
    J. L. Walsh  
    The American Mathematical Monthly, Vol. 46, No. 8. (Oct., 1939), pp. 472-485, Jstor.  
  95. Solution of Numerical Equations by Use of the Circle of Curvature  
    Richard J. Wells  
    National Mathematics Magazine, Vol. 13, No. 2. (Nov., 1938), pp. 67-72, Jstor.  
  96. Repeating Designs in Surfaces of Negative Curvature (in Questions, Discussions, and Notes)  
    C. A. Richmond  
    The American Mathematical Monthly, Vol. 44, No. 1. (Jan., 1937), pp. 33-35, Jstor.  
  97. Curvature Trajectories  
    George Comenetz  
    American Journal of Mathematics, Vol. 58, No. 1. (Jan., 1936), pp. 225-235, Jstor.  
  98. The Description of a Surface of Constant Curvature  
    Robert C. Yates  
    The American Mathematical Monthly, Vol. 38, No. 10. (Dec., 1931), pp. 573-574, Jstor.  
  99. Optics in Space of Constant Non-Vanishing Curvature  
    James Pierpont  
    American Journal of Mathematics, Vol. 49, No. 3. (Jul., 1927), pp. 343-354, Jstor.  
  100. The Curve Whose Curvature is Everywhere the Same as that of its Pedal  
    A. R. Williams  
    The American Mathematical Monthly, Vol. 32, No. 3. (Mar., 1925), pp. 121-125, Jstor.  
  101. The Effect of Change of Scale on Curvature  
    James K. Whittemore  
    The American Mathematical Monthly, Vol. 30, No. 1. (Jan., 1923), pp. 22-26, Jstor.  
  102. A One-to-One Representation of Geodesics on a Surface of Negative Curvature  
    Harold Marston Morse  
    American Journal of Mathematics, Vol. 43, No. 1. (Jan., 1921), pp. 33-51, Jstor.  
  103. Discussions: The Existence of Cusps on the Evolute at Points of Maximum and Minimum Curvature on the Base Curve (in Questions and Discussions)  
    G. H. Light  
    The American Mathematical Monthly, Vol. 26, No. 4. (Apr., 1919), pp. 151-154, Jstor.  
  104. Conjugate Systems of Curves on a Surface Both of Whose Laplace Transforms are Lines of Curvature   
    J. M. Stetson  
    The Annals of Mathematics, 2nd Ser., Vol. 19, No. 2. (Dec., 1917), pp. 106-126, Jstor.  
  105. Determination of the Radius of Curvature of the Cycloid without the Aid of the Calculus  
    Frederic R. Honey  
    The American Mathematical Monthly, Vol. 12, No. 5. (May, 1905), pp. 103-104, Jstor.  
  106. Lines of Curvature on Minimum Developables  
    Frederick S. Woods  
    The Annals of Mathematics, 2nd Ser., Vol. 5, No. 1. (Oct., 1903), pp. 46-50, Jstor.  
  107. Note on Center of Curvature (in Solutions of Problems; Calculus)  
    George R. Dean  
    The American Mathematical Monthly, Vol. 8, No. 2. (Feb., 1901), pp. 45-46, Jstor.  
  108. Note on Radius of Curvature (in Solutions of Problems; Calculus)  
    George R. Dean  
    The American Mathematical Monthly, Vol. 8, No. 1. (Jan., 1901), pp. 17-18, Jstor.  
  109. On the Chord Common to a Parabola and the Circle of Curvature at any Point  
    R. H. Graves  
    The Annals of Mathematics, Vol. 3, No. 2. (Apr., 1887), p. 50, Jstor.  
  110. On the Singularities of Curves of Double Curvature  
    Henry B. Fine  
    American Journal of Mathematics, Vol. 8, No. 2. (Feb., 1886), pp. 156-177, Jstor.  
  111. On Curvature and Orthogonal Surfaces  
    A. Cayley  
    Philosophical Transactions of the Royal Society of London, Vol. 163. (1873), pp. 229-251, Jstor.  

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

(c) John H. Mathews 2004