Hubert Ludwig, Ball State University

Back to Geometry Bibliography: Contents

Multiple Connections Rose Mary Zbiek Width-length-perimeter graphs and width-length-area graphs. (889, 1996) 628 - 634 A Geometric Approach to the Discriminant R. Daniel Hurwitz Characterizing the number of real solutions to a quadratic equation by investigating the intersections of a parabola and a line. (88, 1995) 323 - 325 Investigating Circles and Spirals with a Graphing Calculator Stuart Moskowitz Activities involving parametric equations. (87, 1994) 240 - 243 Geometric Transformations - Part 2 Susan K. Eddins, Evelyn O. Maxwell, and Floramma Stanislaus Activities. Coordinate approaches to transformations utilizing matrices. (87, 1994) 258 - 261, 268 - 270 A Quadrilateral Hierarchy to Facilitate Learning in Geometry Timothy V. Craine and Rheta N. Rubenstein Creating a "family tree" for quadrilaterals to enable generalization of results. Analytic proofs are also involved. (86,1993) 30 - 36 Using a Treasure Hunt to Teach Locus of Points Linda Hayek Sharing teaching ideas. Using geometric clues to find hidden objects. (86, 1993) 133 - 134 Physical Modeling of Basic Loci Patricia Frey-Mason Using students and groups of students to represent geometric objects. (86, 1993) 216 Square Circles Judith A. Silver Examining the set of all points equidistant from a fixed point using metrics different from the usual metric in a plane. (86, 1993) 408 - 410 Hidden Treasures in Students' Assumptions Monte Zerger Finding the distance between two points separated by an obstacle. Geometric and trigonometric approaches. (86, 1993) 567 - 569 Where is My Reference Angle? Joanne Staulonis A manipulative for demonstrating the concept of a reference angle. (85, 1992) 537 Folding Perpendiculars and Counting Slope Ann Blomquist Sharing Teaching Ideas. Folding activities to discover relations between slopes of perpendicular lines. (85, 1992) 538 - 539 Is the Graph of y = kx Straight? Alex Friedlander and Tommy Dreyfus Loci in non-Cartesian coordinate systems. (84, 1991) 526 - 531 Euclid and Descartes: A Partnership Dorothy Hoy Wasdovich Integrating coordinate and synthetic geometry. (84, 1991) 706 - 709 Coordinate Geometry: A Powerful Tool for Solving Problems Stanley F. Tabak Contrasting synthetic and analytic proofs for three theorems. (83, 1990) 264 - 268 Which Method Is Best? Edward J. Barbeau Synthetic, transformational, analytic, vector, and complex number proofs that an angle inscribed in a semicircle is a right angle. (81, 1988) 87 - 90 Interdimensional Relationships Joseph V. Roberti. A look at relationships suggested by the fact that the derivative of the area of a circle yields the circumference and the derivative of the volume of a sphere yields the surface area. (81, 1988) 96 - 100 Slope As Speed James Robert Metz Activities to develop the concept. (81, 1988) 285 - 289 Another Approach to the Ambiguous Case Bernard S. Levine Using the law of cosines to set up a quadratic equation. 80, (1987) 208 - 209. A Geometric Proof of the Sum-Product Identities for Trigonometric Functions Joscelyn Jarrett Utilizing points on a unit circle. 80, (1987) 240 - 244. Rethinking the Ambiguous Case Allen L. Peek Again relating the solution of the problem to the solution of a quadratic equation. 80, (1987) 372. Illustrating the Euler Line James M. Rubillo Finding the coordinates of the points on the line. 80, (1987) 389 - 393. Interpreting and Applying the Distance Formula Richard J. Hopkinson Applying the usual formula for the distance from a point to a line to the solution of several typical analytic geometry problems. 80, (1987) 572 - 575, 579. Distance From a Point to a Line Donna M. and Enrique A. Gonzalez-Velasco A derivation of the formula. 79, (1986) 710 - 711. A Property of Inversion in Polar Coordinates James N. Boyd A demonstration of the result that inversion preserves angle size. 78, (1985) 60 - 61. The Geometry of Microwave Antennas William R. Parzynski Reflective properties of parabolas and hyperbolas. An analytic approach. 77, (1984) 294 - 296. General Equations for a Reflection in a Line J. Taylor Hollist An analytic development. 77, (1984) 352 - 353. Inversion in a Circle: A Different Kind of Transformation Martin P. Cohen An analytic introduction to inversion. 76, (1983) 620 - 623. Two Derivations Of A Formula For Finding The Distance From a Point to A Line George P. Evanovich A circle-radius method and a trigonometric method. 72, (1979) 196 - 198. Writing Equations For Intersecting Circles Richard J. Hopkinson A method for guaranteeing that two circles will meet at points having integer coordinates. 72, (1979) 296 - 298. Computer Classification Of Triangles and Quadrilaterals - A Challenging Application J. Richard Dennis Computer application, uses coordinates of vertices. 71, (1978) 452 - 458. Dual Concepts - Graphing With Lines (Points) Deloyd E. Steretz and Joseph L. Teeters Point and line coordinates. 70, (1977) 726 - 731. Coordinates For Lines: An Enrichment Activity Alan R. Osbourne Line coordinates in a plane. 69, (1976) 264 - 267. Equations Of Geometric Figures Carl S. Johnson, M.M. Ahuja and Leonard Palmer The relation of the graphs of the union and the intersection of the figures F and G to the graphs of F and G. Extended to writing equations for polygons and to higher dimensions. 67, (1974) 741 - 743. Mission - Tangrams Charles E. Allen Activities dealing with coordinate systems, shape, congruence, similarity and congruence. 66, (1973) 143 - 146. A Mathematical Vignette Courtney D. Young, Jr. A look at some analytic proofs. 65, (1972) 349 - 353. Circular Coordinates: A Strange New System Of Coordinates Frederick K. Trask III A system in which points are represented as the intersection of circles. Applied mainly to curves which are best represented in polar form. 64, (1971) 402 - 408. What Points Are Equidistant From Two Skew Lines? Alexandra Forsythe An analytic approach. 62, (1969) 97 - 101. Geometric Techniques For Graphing Glen Haddock and Donald W. Hight Graphs of f , g , f + g , f - g , etc. 59, (1966) 2 - 5. Discovery-Type Investigation For Coordinate Geometry Students Mary Ellen Schaff System derived from a circle and a line. 59, (1966) 458 - 460. The Use Of Transformations In Deriving Equations Of Common Geometric Figures Clarence R. Perisho Equations of figures having sharp corners. 58, (1965) 386 - 392. Coordinate Geometry With An Affine Approach Harry Sitomer A brief overview. 57, (1964) 404 - 405. A Note On Curve Fitting Joseph F. Santer Writing an equation for an angle. 56, (1963) 218 - 221. A Second Note On Curve Fitting Joseph F. Santer Writing an equation for a broken line curve. 56, (1963) 307 - 310. Curves With Corners Clarence R. Perisho Equations involving absolute values. 55, (1962) 326 - 329. Graphing Pictures Margaret L. Carver Coordinates presented. 52, (1959) 41 - 43. Teaching Loci With Wire and Paint Donald A. Williams Teaching aids for locus problems. 51, (1958) 562 - 563. The Functional Approach To Elementary and Secondary Mathematics William A. Gager Some geometrical examples. 50, (1957) 30 - 34. Equations and Geometric Loci: A Logical Synthesis W. Servais Relations, some set theory. 50, (1957) 114 - 122. Notes On Analytic Geometry William L. Schaff Bibliography. 46, (1953) 28 - 30. Using Algebra In Teaching Geometry Howard F. Fehr An analytic approach to geometry. 45, (1952) 561 - 566. Analytic Geometry: The Discovery Of Fermat and Descartes Carl B. Boyer History and bibliography. 37, (1944) 99 - 105. A Lesson On The Parabola, With Emphasis On Its Importance In Modern Life Chester C. Camp Analytic approach. Applications. 35, (1942) 59 - 63. Analytic Geometry In The High School Arthur F. Leary Material being taught at the time. 33, (1940) 60 - 68. A Geometric Representation E. D. Roe, Jr. Analytic geometry in space. 10, (1917-1918) 205 - 210. H.J.L. 07/15/97 email: 00hjludwig@bsu.edu home page: http://www.cs.bsu.edu/~hjludwig/ |

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