Hubert Ludwig, Ball State University

Back to Geometry Bibliography: Contents

Two Egyptian Construction Tools John F. Lamb Jr. A level and a plumb level. (86, 1993) 166 - 167 Constructions with Obstructions Involving Arcs Dick A. Wood Five constructions (with solutions). (86, 1993) 360 - 363 Geographic Constructions Art Johnson and Laurie Boswell Integrating geography and constructions. (85, 1992) 184 - 187 The Toothpick Problem and Beyond Charalampos Toumasis Activities involving building geometric figures with toothpicks. (85, 1992) 543 - 545, 555 - 556 Geometric Patterns for Exponents Frances M. Thompson Construction of a series of shapes leading to meaning for exponents. (85, 1992) 746 - 749 Inscribing an "Approximate" Nonagon in a Circle John F. Lamb, Jr., Farhad Aslan, Ramona Chance, and Jerry D. Lowe A method discovered by an industrial designer. (84, 1991) 396 - 398 Two Geometry Applications Jan List Boal Problems which arise in the construction of a shuttle returner for a loom. (83, 1990) 655 - 658 Equilateral Triangles on an Isometric Grid Mark A. Spikell How many equilateral triangles of different sizes can be constructed on an isometric grid? (83, 1990) 740 - 743 Simple Constructions for the Regular Pentagon and Heptadecagon Duane W. DeTemple Two new constructions. (82, 1989) 361 - 365 Napoleon's Waterloo Wasn't Mathematics Jacquelyn Maynard Solutions for some of Bonaparte's favorite construction problems. (82, 1989) 648 - 653 Trisecting an Angle - Almost John F. Lamb, Jr. A discussion of the method of d'Ocagne. (81, 1988) 220 - 222 Dropping Perpendiculars the Easy Way Lindsay Anne Tartre An alternative technique for obtaining the perpendicular from a point to a line. 80, (1987) 30 - 31. Tape Constructions Lisa Evered Using tape to do standard ruler-and-compass constructions. 80, (1987) 353 - 356. Some Challenging Constructions Joseph V. Roberti Nine triangle construction problems. 79, (1986) 283 - 287. Geometric Constructions Using Hinged Mirrors Jack M. Robertson Seven constructions which can be accomplished using a hinged mirror. 79, (1986) 380 - 386. Star Trek: A Construction Problem Using Compass and Straightedge Bee Ellington Spock is lost! Perform the indicated constructions in order to find him. 76, (1983) 329 - 332. Some Quick Constructions William M. Waters, Jr. Given angle ABC, construct a family of angles whose measures are one-half that of ABC. 75, (1982) 286 - 287. A New Angle For Constructing Pentagons John Benson and Debra Berkowitz Three problems leading to the construction of a regular pentagon. 75, (1982) 288 - 290. Constructions With An Unmarked Protractor Joe Dan Austin Six problems leading to the construction of segment AB given points A and B. 75, (1982) 291 - 295. Giving Geometry Students An Added Edge In Constructions Allan A. Gibb Ten tasks using an unmarked straightedge with parallel edges. 75, (1982) 296 - 301. An Improvement Of A Historic Construction Kim Iles and Lester J. Wilson Five means (geometric, arithmetic, etc.) included in one figure. 73, (1980) 32 - 34. Beyond The Usual Constructions Melfried Olson Activities leading to the Fermat point, Simpson line, etc. 73, (1980) 361 - 364. Duplicating The Cube With A Mira George E. Martin A method for solving the Delian problem with a Mira and a proof that it works. 72, (1979) 204 - 208. Constructing and Trisecting Angles With Integer Angle Measures Joe Dan Austin and Kathleen Ann Austin Which angles having integer measures can be constructed? Which of them can be trisected? Construction of regular polygons. 72, (1979) 290 - 293. Squaring The Circle - For Fun and Profit Arthur E. Hallerberg Eight problems leading to approximations of pi. 71, (1978) 247 - 255. From Polygons To Pi James E. Sconyers Activities for approximating pi. 71, (1978) 514. Completing The Problem Of Constructing A Unit Segment From SQR(x) Joe Dan Austin The final step in the solution of the problem. 71, (1978) 664 - 666. Using The Compass and The Carpenter's Square: Construct the Cube Root of 2 Jack R. Westwood Method and proof. 71, (1978) 763 - 764. Anyone Can Trisect An Angle Hardy C. Ryerson Using the trisectrix or the cissoid. 70, (1977) 319 - 321. There Are More Ways Than One To Bisect An Angle Allan A. Gibb Six methods for angle bisection. 70, (1977) 390 - 393. What Can Be Done With A Mira? Johnny W, Lott Euclidean constructions with a Mira. 70, (1977) 394 - 399. Constructions With Obstructions Shmuel Avital and Larry Sowder Eight familiar constructions with constraints. 70, (1977) 584 - 588. Given A Length SQR(x), Construct The Unit Segment - An Unfinished Problem For Geometry Students Edward J. Davis and Thomas Smith Compass and straightedge techniques. Suggestions for further research. 69, (1976) 15 - 17. Given A Length SQR(x), Construct The Unit Segment - A Response The collected results of many submissions to the Editor. Solutions to some aspects of the problem. 69, (1976) 485 - 490. Of Shoes - and Ships - and Sealing Wax - Of Barber Poles and Things Ernest R. Ranucci Construction and uses of helical designs. 68, (1975) 261 - 264. Geometric Generalizations Leslie H. Miller and Bert K. Waite Given the midpoints of the sides to construct a polygon, generalized to a situation in which points dividing the sides in certain ratios are given. One transformational proof. 67, (1974) 676 - 681. A Student's Construction Donald W. Stover Construction of the parallel through a point. 66, (1973) 172. The Shoemaker's Knife Brother L. Raphael, F.S.C. Properties of an arbelos. 66, (1973) 319 - 323. A Note Concerning A Common Angle "Trisection" Donald R. Byrkit and William M. Waters, Jr. "Trisection" by trisecting the base of an isosceles triangle. 65, (1972) 523 - 524. Mission - Construction Charles E. Allen Activities for a unit on construction. 65, (1972) 631 - 634. Geometric Construction: The Double Straightedge William Wernick Euclidean constructions using a two-edged straightedge. 64, (1971) 697 - 704. The Five-Pointed Star Lee E. Boyer Construction of the figure. 61, (1968) 276 - 277. A New Approach To The Teaching Of Construction Zalman Usiskin A postulational development. 61, (1968) 749 - 757. Geometrical Solutions Of A Quadratic Equation Amos Nannini Some classical constructions involved. 59, (1966) 647 - 649. Introducing Number Theory In High School Algebra and Geometry Part 2, Geometry I. A. Barnett Pythagorean triangles, constructions, unsolvable problems. 58, (1965) 89 - 101. On Solutions Of Geometrical Constructions Utilizing The Compasses Alone Jerry P. Becker A demonstration that the Euclidean constructions can be accomplished using compasses alone. 57, (1964) 398 - 403. Trisection Of An Angle By Optical Means A. E. Hochstein A device which utilizes a semi-transparent mirror. 56, (1963) 522 - 524. A Triangle Construction N. C. Scholomiti and R. C. Hill Given the lengths of the perpendicular bisectors of the sides, construct the triangle. 56, (1963) 323 - 324. Trammel Method Construction Of The Ellipse C.I. Lubin and D. Mazkewitsch Method and theory. 54, (1961) 609 - 612. A Problem With Touching Circles John Satterly Construction of sets of tangent circles. 53, (1960) 90 - 95. George Mohr and Euclides Curiosi Arthur E. Hallerberg History and some fixed compass constructions. 53, (1960) 127 - 132. Graphing Pictures Frances Gross Sets of equations and inequalities to produce figures. 53, (1960) 295 - 296. Right Triangle Construction Nelson S. Gray Pythagorean triangles. 53, (1960) 533 - 536. Graphical Construction Of A Circle Tangent To Two Given Lines and A Circle D. Mazkewitsch Title tells all. 52, (1959) 119 - 120. A Heart For Valentines Day Mae Howell Kieber Straightedge and compass construction. 52, (1959) 132. The Geometry Of The Fixed Compass Arthur E. Hallerberg History and constructions. 52, (1959) 230 - 244. Trisecting Any Angle Alex J. Mock A central angle of a circle cannot be trisected by trisecting the arc. 52, (1959) 245 - 246. Angle Trisection - An Example Of "Undepartmentalized" Mathematics Rev. Brother Leo, O.S.F. A method for angle trisection. 52, (1959) 354 - 355. Trisecting An Angle C. Carl Robusto Several methods. 52, (1959) 358 - 360. Similar Polygons and A Puzzle Don Wallin Construction problems and similar polygons. 52, (1959) 372 - 373. Trisecting An Angle Hale Pickett Trisecting an arc does not trisect the angle. 51, (1958) 12 - 13. Mascheroni Constructions N. A. Court History and bibliography. 51, (1958) 370 - 372. Squaring A Circle Juan E. Sornito A method. 50, (1957) 51 - 52. Mascheroni Constructions Julius H. Hlavaty An approach to compass alone constructions. 50, (1957) 482 - 487. The Tomahawk Bertram S. Sachman An angle trisection device. 49, (1956) 280 - 281. Curves Of Constant Breadth William J. Hazard Constructions based on an equilateral triangle and a regular pentagon. 48, (1955) 89 - 90. Involution Operated Geometrically Juan E. Sornito Constructing a segment of length a to the nth. 48, (1955) 243 - 244. An Individual Laboratory Kit For The Mathematics Student Nona Mae Allard The construction of an angle bisector and an angle trisector. 47, (1954) 100 - 101. Euclidean Constructions Robert C. Yates Four compass and straightedge constructions. 47, (1954) 231 - 233. Golden Section Compasses Margaret Joseph Construction of a device for the construction of the golden ratio. 47, (1954) 338 - 339. Tangible Arithmetic II: The Sector Compasses Florence Wood Uses for a scaled compass. 47, (1954) 535 - 542. Inscribing A Square In A Triangle Martin Hirsch Construction and proof. 46, (1953) 107 - 108. Can We Outdo Mascheroni? Wm. Fitch Cheney, Jr. Compass only constructions. 46, (1953) 152 - 156. A New Solution To An Old Problem William H. Kruse Inscribing a square in a semi-circle. 46, (1953) 189 - 190. Trisection H. F. Jamison A discussion of two approximate trisections. 46, (1953) 342 - 344. Swale's Construction Adrian Struyk Finding the center and the radius of a circle. 46, (1953) 507 - 508, 524. A Novel Linear Trisection Adrian Struyk Segment trisection method. 46, (1953) 524. A Trisection Device Based On The Instrument Of Pascal The Mathematics Laboratory (Monroe High School) Construction and proof. 45, (1952) 287, 293. The Number pi H. v. Baravalle Contains some material on squaring the circle. 45, (1952) 340 - 348. Drawing A Circle With A Carpenter's Square Sheldon S. Myers How to accomplish the construction. 45, (1952) 367. A Method For Constructing A Triangle When The Three Medians Are Given John Satterly Title tells all. 45, (1952) 602 - 605. A Trisection Device Emil J. Berger An adaptation of the tomahawk. 44, (1951) 34. Euclidean Constructions With Well-Defined Intersections Howard Eves and Vern Hogatt A point of intersection of two loci is well-defined if the angle of intersection is larger than some specified angle. Four constructions, and their relations to Euclidean constructions are given. 44, (1951) 261 - 263. A Simple Trisection Device Emil J. Berger Construction and proof. 44, (1951) 319 - 320. An Angle Bisector Device Emil J. Berger Construction and proof. 44, (1951) 415. Let's Teach Angle Trisection Bruce E. Meserve Some approaches to the problem. 44, (1951) 547 - 550. Trisecting Any Angle Werner S. Todd A technique. 43, (1950) 278 - 279. A Graphimeter Howard Eves A locus problem and the uses of the resulting curve in constructions. 41, (1948) 311 - 313. A General Method For The Construction Of A Mechanical Inversor M. H. Ahrendt Peaucellier cells. 37, (1944) 75 - 80. The Trisector Of Amadori Marian E. Daniells An instrument for angle trisection. 33, (1940) 80 - 81. Laboratory Work In Geometry R. M. McDill Using square, protractor, compass, rule, scissors, etc. 24, (1931) 14 - 21. Why It Is Impossible To Trisect An Angle Or To Construct A Regular Polygon Of 7 or 9 Sides By Ruler and Compass Leonard Eugene Dickson Relation of the constructions to the solutions of cubic equations. 14, (1921) 217 - 223. Approximate Values Of pi Wilfred H. Sherk Six approaches. 2, (1909-1910) 87 - 93.) Interesting Work Of Young Geometers J. T. Rorer Three triangle theorems and an approximate trisection. 1, (1908-1909) 147 - 149. H.J.L. 07/15/97 email: 00hjludwig@bsu.edu home page: http://www.cs.bsu.edu/~hjludwig/ |

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