Hubert Ludwig, Ball State University

Back to Geometry Bibliography: Contents

Trap a Surprise in an Isosceles Trapezoid Margaret M. Housinger Isosceles trapezoids with integral sides in which a circle can be inscribed. (889, 1996) 12 - 14 Perimeters, Patterns, and Pi Sue Barnes Areas and perimeters of inscribed and circumscribed regular polygons. (889, 1996) 284 - 288 A Mean Solution to an Old Circle Standard Andrew J. Samide and Amanda M. Warfield A line is tangent to two tangent circles, find the length of the segment joining the two points of tangency. (889, 1996) 411 - 413 Geometry in English Wheatfields The geometry and diatonic ratios of crop circles. (88, 1995) 802 Pi Day Bruce C. Waldner Mathematically related contests held on March 14 (i.e. 3/14). (87, 1994) 86 - 87 Investigating Circles and Spirals with a Graphing Calculator Stuart Moskowitz Activities involving parametric equations. (87, 1994) 240 - 243 A Rapidly Converging Recursive Approach to Pi Joseph B. Dence and Thomas P. Dence An algorithm for estimating pi from a sequence of inscribed regular polygons. (86, 1993) 121 - 124 A Circle is a Rose Margaret M. Urban Area conjectures for a rose curve. (85, 1992) 114 - 115 Circles Revisited Maurice Burke Using three theorems about circles to demonstrate eighteen theorems. (85, 1992) 573 - 577 The Circle and Sphere as Great Equalizers Steven Schwartzman Relations between parts of figures and inscribed figures. (84, 1991) 666 - 672 A New Look at Circles Dan Bennett A locus problem from Calvin and Hobbes. (82, 1989) 90 - 93 Archimedes and Pi Thomas W. Shilgalis Developing Archimedes' recursion formulas. (82, 1989) 204 - 206 Not Just Any Three Points James M. Sconyers Sharing Teaching Ideas. Why must three points be noncollinear in order to determine a circle? (82, 1989) 436 - 437 Archimedes' Pi - An Introduction to Iteration Richard Lotspeich Using inscribed n-gons to develop approximations. (81, 1988) 208 - 210 Applying the Midpoint Theorem Richard J. Crouse Sharing Teaching Ideas. A circle which has as a diameter a segment with one endpoint on the x-axis and the other endpoint on the y-axis must pass through the origin. (81, 1988) 274 Lessons Learned While Approximating Pi James E. Beamer Approximations of pi. BASIC, FORTRAN, and TI55-II programs provided. 80, (1987) 154 - 159. 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 Circles and Star Polygons Clark Kimberling BASIC programs for producing the shapes. 78, (1985) 46 - 51. A Property of Inversion in Polar Coordinates James N. Boyd A demonstration of the fact that inversion preserves angle size. 78, (1985) 60 - 61. An "Ancient/Modern" Proof of Heron's Formula William Dunham Utilizing Heron's inscribed circle and some trigonometric results. 78, (1985) 258 - 259. The Shoemaker's Knife - an Approach of the Polya Type Shlomo Libeskind and Johnny W. Lott The arbelos and some circle geometry. The solution of a given problem by looking at a transformed problem. 77, (1984) 178 - 182. A Useful Old Theorem W. Vance Underhill Applications of Ptolemy's theorem. 76, (1983) 98 - 100. Inversion in a Circle: A Different Kind of Transformation Martin P. Cohen An analytic introduction to inversion. 76, (1983) 620 - 623. More Related Geometric Theorems Joseph V. Roberti Theorems related to the result on the lengths of segments formed when secants meet outside a circle. 75, (1982) 564 - 566. A Present From My Geometry Class Andy Pauker A look at the product of segments of secants of a circle. 73, (1980) 119 - 120. Getting The Most Out Of A Circle Joe Donegan and Jack Pricken Polygons determined by six equally spaced points on a circle. 73, (1980) 355 - 358. Are Circumscribable Polygons Always Inscribable? Joseph Shin Develops a condition under which they will be. 73, (1980) 371 - 372. 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. A Unification Of Two Famous Theorems From Classical Geometry Eli Maor Looks at the product of the lengths of segments of intersecting secants of a circle. 72, (1979) 363 - 367. On The Radii Of Inscribed and Escribed Circles Of Right Triangles David W. Hansen Develops relations between these radii and the area of a right triangle. 72, (1979) 462 - 464. A Different Look At pi r*r William D. Jamski Dividing a circle into n congruent sectors, then reassembling into a "quadrilateral". 71, (1978) 273 - 274. The Three Coin Problem: Tangents, Areas and Ratios Bonnie H. Litwiller and David R. Duncan Finding the area of the "triangle" formed by three mutually tangent circles. 69, (1976) 567 - 569. Discovering A Congruence Theorem: A Project Of A Geometry For Teachers Class Malcolm Smith Demonstrating that corresponding chords of homothetic circles are parallel. 65, (1972) 750 - 751. Are Circles Similar? Paul B. Johnson Circles in a plane and on a sphere. 59, (1966) 9 - 13. The Circle Of Unit Diameter J. Garfunkel and B. Leeds The use of a circle having diameter one in establishing geometric results. There is also some trigonometry. 59, (1966) 124 - 127. Radii Of The Apollonius Contact Circles C. N. Mills Development of formula for the radii. 59, (1966) 574 - 576. How Ptolemy Constructed Trigonometry Tables Brother T. Brendan Contains some geometry of the circle. 58, (1965) 141 - 149. A Deceptively Easy Problem Jack M. Elkin Deals with chords of a circle. 58, (1965) 195 - 199. Some Remarks Concerning Families Of Circles and Radical Axes James A. Bradley, Jr. Systems of circles determined by two circles. 57, (1964) 533 - 536. How To Find The Center Of A Circle Kardy Tan Four constructions. 56, (1963) 554 - 556. A Chain Of Circles Rodney T. Hood An application of inversion. 54, (1961) 134 - 137. Some Related Theorems On Triangles and Circles J. D. Wiseman, Jr. Medians of isosceles triangles and chords of circles. 54, (1961) 14 - 16. The Problem Of Apollonius N. A. Court History, solutions, recent developments. 54, (1961) 444 - 452. A Problem With Touching Circles John Satterly Construction of sets of tangent circles. 53, (1960) 90 - 95. Lengths Of Chords and Their Distances From The Center Hale Pickett A theorem and a construction. 50, (1957) 325 - 326. Teaching The Formula For Circle Area Jen Jenkins A suggested method. 49, (1956) 548 - 549. A Model For Visualizing The Formula For The Area Of A Circle Clarence Olander How to construct it. 48, (1955) 245 - 246. The Problem Of Napoleon C. N. Mills Finding the center and radius of a circle. 46, (1953) 344 - 345. A Circle Device For Demonstrating Facts Which Relate To Inscribed Angles Emil J. Berger Construction and use. 46, (1953) 579 - 581. A Teaching Device For Geometry Related To The Circle M.H. Ahrendt A device for working with inscribed polygons. 45, (1952) 67 - 68. Relations For Radii Of Circles Associated With The Triangle Herta Taussig Freitag Inradius, circumradius, etc. 45, (1952) 357 - 360. Incenter Demonstrator Emil J. Berger Its construction and use. 44, (1951) 416 - 417. Escribed Circles Joseph Nyberg Some trigonometric results and geometry of the circle. 40, (1947) 68 - 70. Dynamic Geometry John F. Schact and John J. Kinsella The use of triangle and quadrilateral linkages as teaching devices. Contains some geometry of the circle. 40, (1947) 151 - 157. The Hyperbolic Analogues Of Three Theorems On The Circle Joseph B. Reynolds Deals with the product of segments formed by two intersecting lines which meet a circle. 37, (1944) 301 - 303. The Principle Of Continuity Francis P. Hennessey Some results on polygons and circles. 24, (1931) 32 - 40. Circles Through Notable Points Of The Triangle Richard Morris Circles through three, four, five, and six points. A general theorem. 21, (1928) 63 - 71. Original Solution In Plane Geometry Robert A. Laird The points of intersection of external tangents drawn between any two three circles of different sizes, in turn, lie on a straight line. 15, (1922) 361 - 364. Inscribing Regular Pentagons and Decagons Joseph Bowden Analytic proof of the construction proposed. 8, (1915-1916) 89 - 91. Approximate Values Of pi Wilfred H. Sherk Six approaches. 2, (1909-1910) 87 - 930 H.J.L. 07/15/97 email: 00hjludwig@bsu.edu home page: http://www.cs.bsu.edu/~hjludwig/ |

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