Hubert Ludwig, Ball State University

Back to Geometry Bibliography: Contents

Using Interactive-Geometry Software for Right-Angle Trigonometry Charles Vonder Embse and Arne Englebretsen Directions for the exploration utilizing The Geometer's Sketchpad, Cabri Geometry II, and TI-92 Geometry. (889, 1996) 602 - 605 Bringing Pythagoras to Life Donna Ericksen, John Stasiuk, and Martha Frank Sharing Teaching Ideas. A pursuit game with path a right triangle. The questions are related to the theorem of Pythagoras. (88, 1995) 744 - 747 Using Similarity to Find Length and Area James T. Sandefur Similar figures and scaling factors. Constructing spirals in triangles and squares. Involvement with the theorem of Pythagoras. (87, 1994) 319 - 325 The Converse of the Pythagorean Theorem Jerome Rosenthal Three proofs. (87, 1994) 692 - 693 If Pythagoras Had a Geoboard Bishnu Naraine Activities for discovering the relationship among the areas of the four triangles determined by the squares constructed on the sides of a given triangle. (86, 1993) 137 - 140, 145 - 148 Pythagorean Dissection Puzzles William A. Miller and Linda Wagner Activities and puzzles involving a Pythagorean configuration. (86, 1993) 302 - 308, 313 - 314 A Geometrical Approach to the Six Trigonometric Ratios Martin V. Bonsangue Visualizing the trigonometric ratios graphically. (86, 1993) 496 - 498 A Pythagorean Party Philinda Stern Denson Sharing Teaching Ideas. Group presentations of different proofs of the theorem of Pythagoras. (85, 1992) 112 Mathematics in Weighting Richard L. Francis Using templates to investigate several concepts. Included are squaring problems and the theorem of Pythagoras. (85, 1992) 388 - 390 Preparing for Pythagoras Robert A. Laing Activities for discovering area relations for figures constructed on a right triangle. (82, 1989) 271 - 275 Pythagoras Meets Fibonacci William Boulger Pythagorean triples hidden among the Fibonacci numbers. (82, 1989) 277 - 282 Nearly Nice Right Triangles Bob Reid Side length ratios in 22.5-67.5-90, 18-72-90, and 15-75-90 triangles. (82, 1989) 296 - 298 Using Puzzles to Teach the Pythagorean Theorem James E. Beamer Gives some proofs of the Theorem based on puzzles. (82, 1989) 336 - 341 A Different Approach to Teaching the Midpoint Formula Beverly A. May Sharing Teaching Ideas. Using the fact that the midpoint of the hypotenuse of a right triangle is equidistant from the vertices. (82, 1989) 344 - 345 Interesting Area Ratios Within A Triangle Manfried Olson and Gerald White Activities for investigating areas of triangles formed when the sides of a original triangle are subdivided. (82, 1989) 630 - 636 An Application of the Criteria ASASA for Quadrilaterals Spencer P. Hurd A series of results leading to the Theorem of Pythagoras. (81, 1988) 124 - 126 Pythagorean Triples Using Double-angle Identities Mary Ann Weidl Any angle in standard position with integral coordinates for points on its terminal side will generate a Pythagorean triple by doubling the angle. (81, 1988) 374 - 375 A Property of Right Triangles and Some Classical Relations Angelo S. DiDomenico A Pythagorean triple relation which leads to other results including Heron's formula and the law of cosines. 79, (1986) 640 - 643. Nearly Isosceles Pythagorean Triples--Once More Hermann Hering A proof that every NIPT can be generated by the formula provided. 79, (1986) 724 - 725. Proof by Analogy: The Case of the Pythagorean Theorem Deborah R. Levine A proof of an area result involving triangles constructed on the sides of a right triangle. 76, (1983) 44 - 46. Nearly Isosceles Pythagorean Triples Robert Ryder Right triangles in which the lengths of the legs differ by a unit. 76, (1983) 52 - 56. Right Triangle Proportion James K. Rowe Several results obtained using the altitude to the hypotenuse. 74, (1981) 111 - 114. Pythagoras On Pyramids Aggie Azzolino Activities involving the use of the theorem of Pythagoras to find altitudes of pyramids. 74, (1981) 537 - 541. On The Radii Of Inscribed and Escribed Circles Of Right Triangles David W. Hansen Relations between these radii and the area of a right triangle. 72, (1979) 462 - 464. Pythagorean Theorem and Transformation Geometry Medhat H. Rahim A proof utilizing translations and rotations. 72, (1979) 519 - 522. Preparing For Pythagoras Robert A. Laing Activities preliminary to the theorem of Pythagoras. 72, (1979) 599 - 602. Problem Posing and Problem Solving: An Illustration Of Their Interdependence Marion I. Walter and Stephen I. Brown Given two equilateral triangles find a third equilateral triangle whose area is the sum of the areas of the given triangles. The Pythagorean theorem and a generalization. 70, (1977) 4 - 13. A Two-Square One-Square Puzzle: The Pythagorean Theorem Revisited Jessie Ann Engle A puzzle for use in constructing squares. 69, (1976) 112 - 113. President Garfield and The Pythagorean Theorem Malcolm Graham Garfield's proof. 69, (1976) 686 - 687. Pythagorean Puzzles Raymond E. Spaulding Activities for the demonstration of the theorem. 67, (1974) 143 - 146, 159. Are Triangles That Have The Same Area and The Same Perimeter Congruent? Robert W. Prielipp Some theorems about right triangles and a counterexample. 67, (1974) 157 - 159. If Pythagoras Had A Geoboard William A. Ewbank The theorem of Pythagoras and some variations on a geoboard. 66, (1973) 215 - 221. Helping Students To See The Patterns J. Edwin Eagle Some problems related to the theorem of Pythagoras. 64, (1971) 315 - 322. Two Incorrect Solutions Explored Correctly Merle C. Allen Converse of Pythagoras, area of a triangle. 63, (1970) 257 - 258. The Area Of A Pythagorean Triangle and The Number Six Robert W. Prielipp The area of such a triangle is a multiple of six. 62, (1969) 547 - 548. Introducing Number Theory In High School Algebra and Geometry, Part 2, Geometry I. A. Barnett Pythagorean triangles, constructions, unsolvable problems. 58, (1965) 89 - 101. Application Of The Theorem Of Pythagoras In The Figure Cutting Problem Frank Piwnicki Dissection of squares and triangles. 55, (1962) 44 - 51. Pythagorean Converse Martin Hirsch Six proofs. 54, (1961) 632 - 634. Right Triangle Construction Nelson S. Gray Pythagorean triangles. 53, (1960) 533 - 536. Primitive Pythagorean Triples Ben Moshan Geometric approaches to the problem. 52, (1959) 541 - 545. Pappus's Extension Of The Pythagorean Theorem Howard Eves History and proof. 51, (1958) 544 - 546. A Model For Visualizing The Pythagorean Theorem Emil J. Berger How to construct it. 48, (1955) 246 - 247. A Model For Visualizing The Pythagorean Theorem Clarence Clander How to construct it. 48, (1955) 331. Note On "Model For Visualizing The Pythagorean Theorem" E. Eagle See above. {Berger 48, (1955) 246-247} 48, (1955) 475 - 476. The Pythagorean Theorem - Proof Number One Thousand J. C. Eaves Demonstration devices and a proof. 47, (1954) 346 - 347. Company For Pythagoras Adrian Struyk Seven geometrical situations satisfying a(nth) + b(nth) = c(nth). 47, (1954) 411. A Third Note On The Pythagorean Theorem Victor Thebault 3,4,5 right triangles. 46, (1953) 188 - 189. Note On Pythagoras' Theorem C. Gattegno Areas and the theorem. 45, (1952) 6 - 9. Pythagorean Theorem Model Isadore Chertoff How to construct it. 45, (1952) 371 - 372. A Second Note On The Pythagorean Theorem Victor Thebault A proof of the converse which is independent of the theorem. 44, (1951) 396. Right Triangle Models Isadore Chertoff For use in demonstrating five theorems. 44, (1951) 563 - 565. The Theorem Of Pythagoras William L. Schaff A bibliography. 44, (1951) 585 - 588. The Pythagorean Theorem Phillip S. Jones Historical comments. 43, (1950) 162 - 163. A Note On The Pythagorean Theorem Victor Thebault The particular 3,4,5 case. 43, (1950) 278. Generalization As A Method In Teaching Mathematics R. M. Winger Geometrically the article considers generalizations of the theorem of Pythagoras. 29, (1936) 241 - 250. Proof Of The Theorem Of Pythagoras Alvin Knoer Another. 18, (1925) 496 - 497. A Proof Of The Theorem Of Pythagoras George W. Evans Another. 16, (1923) 440. Some Angles Of The Right Triangle Alfred L. Booth Constructing some special right triangles. 11, (1918-1919) 177 - 181. Editorial (Proofs Of The Pythagorean Theorem) Comments on a collection of proofs by Arthur R. Coburn. 4, (1911-1912) 45 - 48. H.J.L. 07/15/97 email: 00hjludwig@bsu.edu home page: http://www.cs.bsu.edu/~hjludwig/ |

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