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/
|
[Privacy Policy] [Terms of Use]

Home || The Math Library || Quick Reference || Search || Help

The Math Forum is a research and educational enterprise of the Drexel University School of Education.