0.4 Analytic geometry An Interesting Practical Application of Solid Analytic Geometry, W. K. Viertel, 9:5, 1978, 273-275 Geometry via Physics, Ross Honsberger, 10:4, 1979, 271-276 Distance from a Point to a Line, K. R. S. Sastry, 12:2, 1981, 146-147, C A Classroom Approach to x^2 + y^2 + z^2 = w^2, Norman Schaumberger, 12:5, 1981, 331-332, C An Application of Convex Coordinates, J. N. Boyd and P. N. Raychowdhury, 14:4, 1983, 348-349, C An Analytic Approach to the Euler Line, Johathan W. Lewin, 15:1, 1984, 52-53, C The Fractal Geometry of Mandelbrot, Anthony Barcellos, 15:2, 1984, 98-114, 9.8 A Geometrical Interpretation of the Weighted Mean, Larry Hoehn, 15:2, 1984, 135-139, 0.2, 7.3 On Problems with Solutions Attainable in More Than One Way, Jean Pedersen and George Polya, 15:3, 1984, 218-228, 0.2, 5.4.2 Proving Heron's Formula Tangentially, David E. Dobbs, 15:3, 1984, 252-253, C, 0.6 Pythagorean Systems of Numbers, Joseph Wiener, 15:4, 1984, 324-326, C, 0.2, 9.3 Distance From a Point to a Line, Abdus Sattar Gazdar, 15:4, 1984, 328-329, C Right Triangles with Perimeter and Area Equal, William Parsons, 15:5, 1984, 429, C, 0.2 A Nonstandard Solution to a Standard Problem, Florence S. Gordon, 17:1, 1986, 74, C Angling for Pythagorean Triples, Dan Kalman, 17:2, 1986, 167-168, C, 9.3 Geometric Parametrization of Pythagorean Triples, Alvin Tirman, 17:2, 1986, 168, C Three Ways to Maximize the Area of an Inscribed Quadrilateral, Leroy F. Meyers, 17:3, 1986, 238-239, 5.5 A Pretrigonometry Proof of the Reflection Property of the Ellipse, Zalman P. Usiskin, 17:5, 1986, 418, C Behold! The Pythagorean Theorem via Mean Proportions, Michael Hardy, 17:5, 1986, 422, C Drawing the Line Segment Connecting Two Points, Harley Flanders, 18:1, 1987, 53-57, 3.3, 8.1 Heron's Area Formula, Roger C. Alperin, 18:2, 1987, 137-138, C Equiangular Lattice Polygons and Semiregular Lattice Polyhedra, Paul R. Scott, 18:4, 1987, 300-306 A Rational Approach to Lattice Polygons, Warren Page, 18:4, 1987, 316-317, C Some Properties of Polygons Inside a Circle, Larry Hoehn, 18:5, 1987, 397-401 Newton's nth Root Method Without Derivatives, David A. Smith, 18:5, 1987, 403-406, C, 0.7 An Unexpected Appearance of the Golden Ratio, George Manuel and Amalia Santiago, 19:2, 1988, 168-170, C, 5.1.1 Behold! Two Extremum Problems and the Arithmetic-Geometric Mean Inequality, Paolo Montuchi and Warren Page, 19:4, 1988, 347, C, 5.1.4 The Generalized Polygonal Cycloid, Duane W. DeTemple, 19:5, 1988, 417-419, C Pythagorean Theorem: aa' + bb' = cc', Enzo R. Gentile, 20:1, 1989, 58, C FFF #3. Tangency by Double Roots, Ed Barbeau, 20:2, 1989, 132, F (also 20:3, 1989, 227) To View an Ellipse in Perspective, Charles G. Moore, 20:2, 1989, 134-136, C, 0.5 The Root Mean SquareÐArithmetic MeanÐGeometric MeanÐHarmonic Mean Inequality, Roger B. Nelsen, 20:3, 1989, 231, C, 9.5 On the Radial Packing of Circles in the Plane, P. D. Weidman and K. Pfendt, 21:2, 1990, 112-120, 9.7 Harmonic, Geometric, Arithmetic, Root Mean Inequality, Sidney Kung, 21:3, 1990, 227, C, 9.5 Triangles with Integer Sides and Sharing Barrels, David Singmaster, 21:4, 1990, 278-285, 9.3 Geometrical and Graphical Solutions of Quadratic Equations, E.John Hornsby, Jr., 21:5, 1990, 362-369, 0.2 China's 1989 National College Entrance Examination, Bart Braden, 21:5, 1990, 390-393, 0.2, 0.6, 1.2 Triquetras and Porisms, Dana N. Mackenzie, 23:2, 1992, 118-131 Optimal Locations, Bennett Eisenberg and Samir Khabbaz, 23:4, 1992, 282-289, 3.1, 9.9 Single Equations Can Draw Pictures, Keith M. Kendig, 22:2, 1991, 134-139, C, 0.5, 5.1.5, 5.6.1, 5.6.2 Investigating Spirolaterals Through LOGO, William Fisher and Richard Campbell, 22:2, 1991, 148-159 Triangles in a Lattice Parabola, K. R. S. Sastry, 22:4, 1991, 301-306 FFF #66. An Equilateral Property of Altitudes, Ed Barbeau, 24:4, 1993, 344, F The Geometer's Sketchpad and Cabri-Geometre (software review), Dennis DeTurck, 24:4, 1993, 370-376, 0.3, 0.10 Two Trisectrices for the Price of One Rolling Coin, Jack Eidswick, 24:5, 1993, 422-430, 0.3, 9.7 A Geometrical Exploration Concluded, James N. Boyd and P. N. Raychowdhury, 25:2, 1994, 155-156 Cutting Corners: A Four-gon Conclusion, S. C. Althoen and K. E. Schilling and M. F. Wyneken, 25:4, 1994, 266-279, 0.5, 9.5 The Arithmetic Mean-Geometric Mean Inequality (Proof by Picture), Sidney H. Kung, 26:1, 1995, 38, C A Geometric Approach to Linear Functions, Jack E. Graver, 26:5, 1995, 389-394, C, 0.2, 6.3 How to Kick a Field Goal, Daniel C. Isaksen, 27:4, 1996, 267-271 An Application of Elementary Geometry in Functional Analysis, Ji Gao, 28:1, 1997, 39-42, 9.5 Area and Perimeter, Volume and Surface Area, Jingcheng Tong, 28:1, 1997, 57, C, 5.1.3 The Arithmetic Mean - Geometric Mean Inequality (proof by picture), Sidney H. Kung, 28:2, 1997, 88, C A Stronger Triangle Inequality, Herbert R. Bailey and Robert Bannister, 28:3, 1997, 182-186 Paths of Minimum Length in a Regular Tetrahedron, Richard A. Jacobson, 28:5, 1997, 394-397, C, 5.7.1 The Brahmagupta Triangles, Raymond A. Beauregard and E. R. Surynarayan, 29:1, 1998, 13-17, 9.3 A Sharp Triangle Inequality, Murray S. Klamkin, 29:1, 1998, 33, C Geometric Characterization of the Shortest Path in a Tetrahedron, Sergey Markelov, 29:2, 1998, 150-151, C Folding Stars, Yuanqian Chen and Charles Waiveris, 30:5, 1999, 370-378, 9.7 FFF #151. Going for the stars, Rick Mabry, 30:5, 1999, 383, F The Asymmetric Propeller Revisited, Gillian Saenz and Chris Jackson and Ryan Crumley, 31:5, 2000, 347-349, 9.7 Constructing the Root Mean Square (Mathematics Without Words), Juan-Bosco Romero Marquez, 32:2, 2001, 118, C A Property of Quadrilaterals, Joseph B. Dence and Thomas P. Dence, 32:4, 2001, 292-294, C The Volume of a Tetrahedron, Cho Jinsok, 32:4, 2001, 294-296, C, 0.6 Dipsticks for Cylindrical Storage Tanks Ð Exact and Approximate, Pam Littleton and David Sanchez, 32:5, 2001, 352-358, 5.2.7, 5.3.1 Centering, Jim Sauerberg and Alan Tarr, 33:1, 2002, 24-31, 3.3, 6.3 Constructing the Root Mean Square and an Inequality (Mathematics Without Words), Irving C. Tang and Ruma Falk, 33:2, 2002, 168-169, C Mathematics Without Words: A Property of Centroids, Norman Schaumberger, 33:4, 2002, 324, C EulerÕs Theorem for Generalized Quadrilaterals, Geoffrey A. Kandall, 33:5, 2002, 403-404, C FFF #213. When isosceles gives maximum area, Ed Barbeau, 34:3, 2003, 225-226, F Mathematics Without Words: Another Law of Sines, Rex H. Wu, 34:4, 2003, 279, C On Generalizing the Pythagorean Theorem, John F. Putz and Timothy A. Sipka, 34:4, 2003, 291-295 Predicting Sunrise and Sunset Times, Donald A. Teets, 34:4, 2003, 317-321, C, 0.6 A Serendipitous Proof, David Perkins, 34:5, 2003, 359-361 (see also Man Keung Siu, 35:5, 2004, 374) HeronÕs Area Formula: What About a Tetrahedron?, Reuben Hersh, 35:2, 2004, 112-114, 0.2, 9.7 FFF #221. Making a square out of a triangle, Ed Barbeau, 35:2, 2004, 121-122, F (see also Greg Frederickson, 35:4, 2004, 299) The Pythagorean Theorem and Beyond: a Classification of Shapes and Triangles, Guanshen Ren, 35:4, 2004, 305-307, C The Theorem of Cosines for Pyramids, Alexander Kheyfits, 35:5, 2004, 385-388, C, 0.6 FFF #237. The area of a cross section, Ed Barbeau, 36:2, 2005, 142-143, F Making a Bed, Anthony Wexler and Sherman Stein, 36:3, 2005, 213-221, 5.1.4 FFF #240. Clipping the corners off, Ed Barbeau, 36:4, 2005, 315, F FFF #241. A triangle condition, Ed Barbeau, 36:4, 2005, 315-316, F (see also Ken McCaffrey, 37:3, 2006, 215-216, F) Straw in a Box, Richard Jerrard, Joel Schneider, Ralph Smallberg, and John Wetzel, 37:2, 2006, 93-102, 9.10 How To View A Flatland Painting, Mark Schlatter, 37:2, 2006, 114-120, 9.7 As the Crow Flies?, Linda Greenhouse, 38:4, 2007, 271, C (see also 37:5, 343) The Normals to a Parabola and the Real Roots of a Cubic, Manjinder S. Bains and J. B. Thoo, 38:4, 2007, 272-277, 0.5, 9.7 FFF #270. Maximizing an area, Ed Barbeau, 38:5, 2007, 375, F, 5.1.4 Conic Sections from the Plane Point of View, Sidney H. Kung, 38:5, 2007, 383-384, C, 0.5 Hermit Points on a Box, Richard Hess, Charles Grinstead, Marshall Grinstead, and Deborah Bergstrand, 39:1, 2008, 12-23, 5.7.1, 9.2 Two Problems with Table Saws, William R. Vautaw, 39:2, 2008, 121-128, 0.6, 5.1.3 Squaring a Circular Segment, Russell A. Gordon, 39:3, 2008, 212-220, 5.4.2, 9.6 How to Measure Angles with a Ruler, Travis Kowalski, 39:4, 2008, 273-279, 5.1.4