Hubert Ludwig, Ball State University

Back to Geometry Bibliography: Contents

The Case of Trapezoidal Numbers Carol Feinberg-McBrian Activities for pattern investigations. (889, 1996) 16 - 24 Starting A Euclid Club Jeremiah J. Brodkey A student-faculty group discusses the Elements. (889, 1996) 386 - 388 Spiral Through Recursion Jeffrey M. Choppin Finding areas and perimeters of spirals created through recursive processes. (87, 1994) 504 - 508 Tournaments and Geometric Sequences Vincent P. Schielack, Jr. Relating the number of games in a tournament to the sum of a geometric sequence. (86, 1993) 127 - 129 Gary O's Fence Question David S. Daniels Ninth, tenth, eleventh, and twelfth-grade solutions for the problem of finding the amount of fence required for a baseball field. (86, 1993) 252 - 254 Mathematics in Baseball Michael T. Battista One section involves the geometry of baseball. (86, 1993) 336 - 342 The Shape of a Baseball Field Milton P. Eisner Determining the shape of an outfield fence utilizing conic sections, trigonometric functions, and polar coordinates. (86, 1993) 366 - 371 The Golden Ratio: A Golden Opportunity to Investigate Multiple Representations of a Problem Edwin M. Dickey Several ways of finding the value. (86, 1993) 554 - 557 Drilling Square Holes Scott G. Smith Using a Reuleaux triangle. (86, 1993) 579 - 583 Inflections on the Bedroom Floor Jack L. Weiner and G. R. Chapman Using the path of a folding door to illustrate the concept of a point of inflection. (This article would more appropriately be included in a calculus bibliography - however the end-of-year listing includes it under geometry.) (86, 1993) 598 - 601 The Silver Ratio: A Vehicle for Generalization Donald B. Coleman A discussion of a generalization of the golden ratio. (82, 1989) 54 - 59 Visualizing the Geometric Series Albert B. Bennett, Jr. Using regions in the plane to represent finite and infinite geometric series. (82, 1989) 130 - 136 The Peelle Triangle Alan Lipp Information which can be deduced from the triangle about points, lines, segments, squares, and cubes. A relation to Pascal's triangle. 80, (1987) 56 - 60. Periodic Pictures Ray S. Nowak Activities involving graphical symmetries produced by periodic decimals. BASIC program provided. 80, (1987) 126 - 137. Spheres in a Cone; or, Proving the Conic Sections David Atkinson Using Dandelin's spheres to prove that the conics are indeed sections of a cone. 80, (1987) 182 - 184. Finding the Area of Regular Polygons William M. Waters, Jr. Finding the ratio of the area of one regular polygon to that of another when they are inscribed in the same circle. 80, (1987) 278 - 280 Geometrical Adventures in Functionland Rina Hershkowitz, Abraham Arcavi, and Theodore Eisenberg Determining the change in area produced by making a change in some property of a particular figure. 80, (1987) 346 - 352. Tape Constructions Lisa Evered Using tape to do standard ruler-and-compass constructions. 80, (1987) 353 - 356. Crystals: Through the Looking Glass with Planes, Points, and Rotational Symmetries Carole J. Reesink Three-dimensional symmetry related to crystallographic analysis. Nets for constructing eight three-dimensional models are provided. 80, (1987) 377 - 389. Illustrating the Euler Line James M. Rubillo Finding the coordinates of the points on the line. 80, (1987) 389 - 393. Some Theorems Involving the Lengths of Segments in a Triangle Donald R. Byrkit and Timothy L. Dixon Proof of a theorem concerning the length of an internal angle bisector in a triangle. Other related results are included. 80, (1987) 576 - 579. Problem Solving in Geometry--a Sequence of Reuleaux Triangles James R. Smart Investigation of area relations for a sequence of Reuleaux triangles associated with an equilateral triangle and a sequence of medial triangles. 79, (1986) 11 - 14. Halley's Comet in the Classroom Peter Broughton Activities involved with the motion of the comet. Construction of a model showing the relation between the comet's orbit and the orbit of the earth. 79, (1986) 85 - 89. (see note Sept. 1986, p. 485) Reflection Patterns for Patchwork Quilts Duane DeTemple Forming patchwork quilt patterns by reflecting a single square back and forth between inner and outer rectangles. Investigating the periodic patterns formed. BASIC program included. 79, (1986) 138 - 143. Dirichlet Polygons--An Example of Geometry in Geography Thomas O'Shea Applications of Dirichlet polygons, including homestead boundaries and rainfall measurement. 79, (1986) 170 - 173. A Geometric Figure Relating the Golden Ratio and Pi Donald T. Seitz The ratio of a golden cuboid to that of the sphere which circumscribes it. 79, (1986) 340 - 341. An Interesting Solid Louis Shahin Can the sum of the edges, the surface, and the volume of a three-dimensional object be numerically equal? 79, (1986) 378 - 379. The Bank Shot Dan Byrne Geometry of similar triangles and reflections applied to pool. 79, (1986) 429 - 430, 487. Where Is the Ball Going? Jack A. Ott and Anthony Contento Examination of ball paths on a pool table. BASIC routine included. 79, (1986) 456 - 460. High Resolution Plots of Trigonometric Functions Marvin E. Stick and Michael J. Stick Some of the plots were part of a "mathematics in art" project in a high school geometry class. BASIC routines included. 78, (1985) 632 - 636. Chamelonic Cubes Gary Chartrand, Ratko Tosic, Vojislav Petrovic Cube coloring related to Instant Insanity and to Rubik's Cube. 76, (1983) 23 - 26. Enrichment Activities for Geometry Zalman Usiskin Four facets, 16 activities. 76, (1983) 264 - 266. The Teddy Bear That Stays Stranded Vernon Thomas Sarver, Jr. Given two boards try to retrieve a teddy bear from a circular island in a circular lake. 76, (1983) 496 - 497. A Student Run Geometry Contest Charles G. Ames Description and sample problems. 75, (1982) 142 - 143, 178. 1979 National Middle School Mathematics Olympiads In The People's Republic of China Jerry P. Becker There are some geometry problems provided. 75, (1982) 161 - 169. Some Applications Of The Circumference Formula Eugene F. Krause Looks at distances around various types of tracks and the effect of lane positions, finally comes to a consideration of the construction of train wheels. 75, (1982) 369 - 377. Geomegy or Geolotry: What Happens When Geology Visits Geometry Class? Carole J. Reesink Crystallography, axes, symmetry, activities, examples. 75, (1982) 454 - 461. Repeating Decimals, Geometric Patterns and Open-Ended Questions Robert L. McGinty and William Mutch Deals with geometric patterns derived using chords of a circle obtained utilizing the repeating decimal block for 1/p where p is a prime number. 75, (1982) 600 - 602. Some Strategy Games Using Desargues Theorem Andrew J. Salisbury Tic Tac Toe on a grid derived from the Desargues configuration. 75, (1982) 652 - 653. The Geometry Of Tennis Jay Graening The development of strategy (primarily ball placement) using triangle geometry. 75, (1982) 658 - 663. The Golden Ratio In Geometry Susan Martin Peeples Activities exploring Fibonacci numbers and the golden ratio. 75, (1982) 672 - 676, 685. Geometric Probability - A Source Of Interesting and Significant Applications Of High School Mathematics Richard Dahlke and Robert Fakler Probabilities related to area ratios. 75, (1982) 736 - 745. Mathematical Olympiad Competitions In The People's Republic of China Jerry P. Becker and Kathy C. Hsi There are several geometry problems presented and solved. 74, (1981) 421 - 433. Activities From "Activities": An Annotated Bibliography Christian A. Hirsch A list of articles from the "Activities" section. Geometry is on pages 47 - 49. 73, (1980) 46 - 50. Unsolved Problems In Geometry Lynn Arthur Steen A reprint from Science News. Lists and discusses several problems. 73, (1980) 366 - 369. A Student Presented Mathematics Club Program - Non-Euclidean Geometries Suggested program topics. 73, (1980) 451 - 452. Geometric Transformations and Music Composition Thomas O'Shea Relations between musical procedures (transposition, inversion, etc.) and transformations of the plane. 72, (1979) 523 - 528. Geometry Word Search Margaret M. Conway Word search game. 71, (1978) 269. Geodesic Domes In The Classroom Charles Lund Classroom activities related to the structure of geodesic domes. 71, (1978) 578 - 581. Geodesic Domes By Euclidean Construction M.J. Wenninger, O.S.B. The use of Euclidean constructions to determine chord factors, etc. 71, (1978) 582 - 587. Curve-Stitching The Cardioid and Related Curves Peter Catranides Some theory and instructions. 71, (1978) 726 - 732. A Mathematics Club Project From Omar Khyyam Beatrice Lumpkin Conics and a cubic equation. 71, (1978) 740 - 744. Finding Chord Factors Of Geodesic Domes Fred Blaisdell and Art Indelicato Some of the mathematics encountered in building a dome. 70, (1977) 117 - 124. The Orthotetrakaidecahedron - A Cell Model For Biology Classes M. Stroessel Wahl An application of geometry to biology. 70, (1977) 244 - 247. Maps: Geometry in Geography Thomas W. Shilgalis Projections from a sphere to a plane. 70, (1977) 400 - 404. Student Projects In Geometry Andrew A. Zucker Eighteen suggestions and a bibliography. 70, (1977) 567 - 700. Dual Concepts - Graphing With Lines (Points) Deloyd E. Steretz and Joseph D. Teeters An exhibition of duality. 70, (1977) 726 - 731. Discovery In One, Two, and Three Dimensions Lyle R. Smith Relationships involving segments, squares, and cubes. 70, (1977) 733 - 738. The Nine-Point Circle On A Geoboard Robert L. Jones Locating the nine points and the center. 69, (1976) 141 - 142. Minimal Surfaces Rediscovered Sister Rita M. Ehrmann Soap bubble experiments for Plateau's problem (find the surface of smallest area with a given boundary.) Soap film experiments for Steiner's problem (minimal linear linkage of points in a plane.) 69, (1976) 146 - 152. Coordinates For Lines: An Enrichment Activity Alan R. Osbourne Developing a system of coordinates for lines in a plane. 69, (1976) 264 - 267. Circles, Chords, Secants, Tangents, and Quadratic Equations Alton T. Olson Using geometric techniques to solve quadratic equations. 69, (1976) 641 - 645. The Design, Proof, and Placement Of An Inclined Gnomon Sundial Accurate For Your Locality Charles T. Wolf Title tells all. 68, (1975) 438 - 441. Paper Folds and Proofs Joan E. Fehlen Geometric results by paper folding. 68, (1975) 608 - 611. Rolling Curves Stanley A. Smith Activities involving curves of constant width. 67, (1974) 239 - 242. How To Draw Tessellations Of The Escher Type Joseph L. Teeters Methods for students to use in the creation of tessellations. 67, (1974) 307 - 310. Spirolaterals Frank C. Odds Figures derived from a logically constructed set of rules. 66, (1973) 121 - 124. On The Occasional Incompatibility Of Algebra and Geometry Margaret A. Farrell and Ernest R. Ranucci Situations in which geometric analysis indicates that an initial algebraic solution is incomplete. 66, (1973) 491 - 497. Fun With Flips Evan M. Maletsky Activities for introducing the concept of a locus as the path of a point moving under certain conditions. 66, (1973) 531 - 534. The Wheel Of Aristotle David W. Ballew A look at mathematical paradoxes. 65, (1972) 507 - 509. What? A Roller With Corners? John A. Dossey Closed curves of constant width. 65, (1972) 720 - 724. Mathematics On A Pool Table Nicholas Grant The use of geometric techniques for predicting into which pocket a ball will fall. 64, (1971) 255 -257. A Construction Of and Physical Model For Finite Euclidean and Projective Geometries William A. Miller Models utilizing squares and tori. Some development of theory. 63, (1970) 301 - 306. The Crossnumber Puzzle Solves A Teaching Problem Sheila Moskowitz A crossnumber puzzle involving geometric concepts. 62, (1969) 200 - 204. Modern Mathematics Or Traditional Mathematics Werner E. Buker Fagnano's problem and Dandelin's ellipse. 62, (1969) 665 - 669. In The Name Of Geometry Thomas P. Hillman and Barbara Sirois A crossword puzzle involving puns. 61, (1968) 264 - 265. Six Nontrivial Equivalent Problems Zalman Usiskin Two of the problems are geometric in nature. 61, (1968) 388 - 390. A Christmas Tree For 1968 Lucille Groenke An exercise in graphing. 61, (1968) 764. A Christmas Puzzle Sister Anne Agnes von Steger, C.S.J. Geometrically based. 60, (1967) 848 - 849. The Relation Between Distance and Sight Area Chew Chi-Ming The apparent length of an object related to its distance from the viewer. 58, (1965) 298 - 302. What To Do In A Mathematics Club Dolores Granito Some of the activities could be used for geometric enrichment. 57, (1964) 35 - 39. Approximating An Angle Division By A Sequence of Bisections Lyle E. Pursell Utilizes binary fractions. 57, (1964) 529 - 532. A Christmas Graph John D. Holcomb Graphing a snowman. 57, (1964) 560 - 561. Enrichment: A Geometry Laboratory Peter Dunn-Rankin and Raymond Sweet A discussion of possible activities. 56, (1963) 134 - 140. Christmas At Palm Beach High School - "The Geome Tree" Josephine M. Chaney Polyhedral tree ornaments. 55, (1962) 600 - 602. Construction and Evaluation Of Trigonometric Functions Of Some Special Angles James D. Bristol Applied geometry. 54, (1961) 4 - 7. The Cardioid Robert C. Yates Properties. 52, (1959) 10 - 14. Review Tests Can Be Different Louise Hazzard A crossnumber puzzle review test on area. 52, (1959) 133. Mobile Geometric Figures Alvin E. Ross Construction of mobiles to demonstrate geometric principles. 51, (1958) 375 - 376. Another Approach To The Nine-Point Circle John Satterly Also includes a proof of Feuerbach's theorem. 50, (1957) 53 - 54. An Unusual Application Of A Simple Geometric Principle Laura Guggenbuhl The law of cosines and plastic surgery. 50, (1957) 322 - 324. Fun With Graphs Paul S. Jorgensen Pictures by graphing. 50, (1957) 524 - 525. A Geometric Approach To Field-Goal Kicking Gerald R. Rosing On taking a five-yard penalty to obtain a "better angle". 47, (1954) 463 - 466. A Method Of Exhibiting The Theorem Of Pappus In The Classroom Norman Anning The construction of a device. 46, (1953) 50. Applications Sheldon S. Myers The height of a room, the law of lenses, the inverse squares law for light. 44, (1951) 141 - 143. Projects For Plane Geometry Marie L. Bauer Suggested projects for dealing with applications. 44, (1951) 235 - 239. Flying Saucers - A Project In Circles Nina Oliver Using geometric techniques and principles to decorate paper plates. 44, (1951) 355 - 357. Mathematics and Art William L. Schaff A bibliography which contains many entries which might be of use to geometry teachers. 43, (1950) 423 - 426. A Lesson In Appreciation: The Nine-Point Circle Robert E. Pingry A construction approach. 41, (1948) 314 - 316. The Mathematical Foundations Of Architecture Mary E. Craver Applications, constructions, ratios, examples. 32, (1939) 147 - 155. Art In Geometry Lorella Ahern Geometric enrichment through art applications. 32, (1939) 156 - 162. Paper Folding In Plane Geometry Sarah Louise Britton Finding the perpendicular bisector of a segment. 32, (1939) 227 - 228. Calculus Versus Geometry Claire Fisher Adler Geometric and calculus solutions of three extremum problems. 31, (1938) 19 - 23. The Mathematics Of The Sundial LaVergne Wood and Frances M. Lewis Applications of geometric principles. 29, (1936) 295 - 303. The Incommensurables Of Geometry E. T. Browne Irrational numbers and geometry. 27, (1934) 181 - 189. Constructing A Transit As A Project In Geometry T. L. Engle How to do it. 24, (1931) 444 - 447. Sources Of Program Material and Some Types Of Program Work Which Might Be Undertaken By High School Mathematics Clubs Ruth Hoag Suggested topics and bibliography. (Geometry 495 - 497.) 24, (1931) 492 - 502. Recreations For The Mathematics Club Byron Bently Contains some interesting geometric puzzles and fallacies. 23, (1930) 95 - 103. Geometric Proofs For Trigonometric Formulas Arthur Haas Functions of the sum and difference of angles. 23, (1930) 321 - 326. Geometry Humanized Erma Scott A play in one act. 21, (1928) 92 - 101. Applications Of Indeterminate Equations To Geometry M.O. Tripp Methods for finding integer sides for polygons. 21, (1928) 268 - 272. Stewart's Theorem, With Applications Richard Morris Three proofs. Applications. 21, (1928) 465 - 478. Note On The Fallacy Walter H. Carnahan Part of the segment equals the whole. 19, (1926) 496 - 498. Magic Circles Vera Sanford An example of 1920's Japanese mathematics. 16, (1923) 348 - 349. Japanese Problems Shige Hiyama From an 1818 manuscript. 16, (1923) 359 - 365. H.J.L. 07/15/97 email: 00hjludwig@bsu.edu home page: http://www.cs.bsu.edu/~hjludwig/ |

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