Geometry and Topology
http://www.maa.org/taxonomy/term/41782/0
enLearning Geometry in Georgian England
http://www.maa.org/press/periodicals/convergence/learning-geometry-in-georgian-england
<div class="field field-name-body field-type-text-with-summary field-label-hidden"><div class="field-items"><div class="field-item even"><p>The copybooks of two young men reveal very different purposes in learning geometry.</p>
</div></div></div>Fri, 25 Jan 2013 21:57:52 +0000jorgeh117936 at http://www.maa.orgA Geometric Proof of Machin's Formula
http://www.maa.org/programs/faculty-and-departments/classroom-capsules-and-notes/a-geometric-proof-of-machins-formula
<div class="field field-name-body field-type-text-with-summary field-label-hidden"><div class="field-items"><div class="field-item even"><p><em>The author presents a geometric proof of Machin's formula, which expresses \(\frac {\pi}{4}\) as the difference of two inverse tangent functions.</em></p>
</div></div></div>Fri, 12 Jul 2013 15:03:25 +0000newton_admin95675 at http://www.maa.orgThe Classification of Similarities: A New Approach
http://www.maa.org/programs/faculty-and-departments/classroom-capsules-and-notes/the-classification-of-similarities-a-new-approach
<div class="field field-name-body field-type-text-with-summary field-label-hidden"><div class="field-items"><div class="field-item even"><p><em>In plane geometry, if a similarity is not an isometry, it is either a dilative rotation or a dilative reflection. A new proof is given based on Apollonius circles.</em></p>
</div></div></div>Fri, 12 Jul 2013 15:03:25 +0000newton_admin95697 at http://www.maa.orgProof Without Words: Area of a Parabolic Segment
http://www.maa.org/programs/faculty-and-departments/classroom-capsules-and-notes/proof-without-words-area-of-a-parabolic-segment
<div class="field field-name-body field-type-text-with-summary field-label-hidden"><div class="field-items"><div class="field-item even"><p><em>The area under the segment of a parabola is found via the volume of a pyramid.</em></p>
</div></div></div>Fri, 12 Jul 2013 15:03:25 +0000newton_admin95716 at http://www.maa.orgThe Utility of Catenaries to Electric Utilities
http://www.maa.org/programs/faculty-and-departments/course-communities/the-utility-of-catenaries-to-electric-utilities
Fri, 12 Jul 2013 15:06:16 +0000newton_admin114753 at http://www.maa.orgMaya Geometry in the Classroom
http://www.maa.org/press/periodicals/convergence/maya-geometry-in-the-classroom
<div class="field field-name-body field-type-text-with-summary field-label-hidden"><div class="field-items"><div class="field-item even"><p>How Classic Maya people probably used knotted ropes to form desired geometric shapes in art and architecture</p>
</div></div></div>Tue, 20 Aug 2013 06:02:38 +0000janet_beery158976 at http://www.maa.orgA Political Redistricting Tool for the Rest of Us
http://www.maa.org/press/periodicals/a-political-redistricting-tool-for-the-rest-of-us
<div class="field field-name-body field-type-text-with-summary field-label-hidden"><div class="field-items"><div class="field-item even"><p>In the United States, congressional districts are redrawn every ten years based on changes in population revealed by the census. Individual states are responsible for redrawing their congressional districts. Often sophisticated (and expensive) software packages are used to guide redistricting committees when drawing the new boundaries. Much of the cost is due to the fact that redistricting is a fantastically complicated problem. We do not propose to give a definitive way of building political districts.</p></div></div></div>Tue, 29 Oct 2013 16:16:06 +0000lang220484 at http://www.maa.orgThe Japanese Theorem for Nonconvex Polygons
http://www.maa.org/press/periodicals/loci/the-japanese-theorem-for-nonconvex-polygons
<div class="field field-name-body field-type-text-with-summary field-label-hidden"><div class="field-items"><div class="field-item even"><p><strong>Abstract</strong>. The so-called "Japanese theorem" dates back over 200 years; in its original form it states that given a quadrilateral inscribed in a circle, the sum of the inradii of the two triangles formed by the addition of a diagonal does not depend on the choice of diagonal. Later it was shown that this invariance holds for any cyclic polygon that is triangulated by diagonals. In this article we examine this theorem closely, discuss some of its consequences, and generalize it further.</p></div></div></div>Tue, 10 Dec 2013 15:29:56 +0000lang254805 at http://www.maa.orgCubes, Conic Sections, and Crockett Johnson
http://www.maa.org/press/periodicals/convergence/cubes-conic-sections-and-crockett-johnson
<div class="field field-name-body field-type-text-with-summary field-label-hidden"><div class="field-items"><div class="field-item even"><p>Children’s book author and painter's interest in doubling the cube</p>
</div></div></div>Sat, 15 Mar 2014 07:03:17 +0000janet_beery361708 at http://www.maa.orgA Pair of Articles on the Parallelogram Theorem of Pierre Varignon
http://www.maa.org/press/periodicals/convergence/a-pair-of-articles-on-the-parallelogram-theorem-of-pierre-varignon
<div class="field field-name-body field-type-text-with-summary field-label-hidden"><div class="field-items"><div class="field-item even"><p>Varignon and his theorem in your classroom</p>
</div></div></div>Mon, 28 Jul 2014 08:16:23 +0000janet_beery450127 at http://www.maa.orgUnreasonable Effectiveness of Knot Theory
http://www.maa.org/press/periodicals/convergence/unreasonable-effectiveness-of-knot-theory
<div class="field field-name-body field-type-text-with-summary field-label-hidden"><div class="field-items"><div class="field-item even"><p>Knot theory's surprising applications in physics.</p>
</div></div></div>Sun, 07 Sep 2014 03:06:58 +0000janet_beery472722 at http://www.maa.orgEuclid21: Euclid's Elements for the 21st Century
http://www.maa.org/press/periodicals/convergence/euclid21-euclids-elements-for-the-21st-century
<div class="field field-name-body field-type-text-with-summary field-label-hidden"><div class="field-items"><div class="field-item even"><p>The classic text presented dynamically and interactively via its logical dependencies</p>
</div></div></div>Sun, 28 Dec 2014 02:59:07 +0000janet_beery590371 at http://www.maa.orgLed Astray by a Right Triangle: Misconception, Epiphany, and Redemption
http://www.maa.org/press/periodicals/convergence/led-astray-by-a-right-triangle-misconception-epiphany-and-redemption
<div class="field field-name-body field-type-text-with-summary field-label-hidden"><div class="field-items"><div class="field-item even"><p>An error in the study of ancient Chinese mathematics</p>
</div></div></div>Mon, 29 Dec 2014 00:55:55 +0000janet_beery591352 at http://www.maa.orgProblems for Journey Through Genius: The Great Theorems of Mathematics
http://www.maa.org/press/periodicals/convergence/problems-for-journey-through-genius-the-great-theorems-of-mathematics
<div class="field field-name-body field-type-text-with-summary field-label-hidden"><div class="field-items"><div class="field-item even"><p>Exercises for William Dunham's classic text on its 25th anniversary</p>
</div></div></div>Thu, 16 Jul 2015 05:57:44 +0000janet_beery648490 at http://www.maa.orgA GeoGebra Rendition of One of Omar Khayyam's Solutions for a Cubic Equation
http://www.maa.org/press/periodicals/convergence/a-geogebra-rendition-of-one-of-omar-khayyams-solutions-for-a-cubic-equation
<div class="field field-name-body field-type-text-with-summary field-label-hidden"><div class="field-items"><div class="field-item even"><p>His geometric solution explained, illustrated, and animated!</p>
</div></div></div>Sat, 15 Aug 2015 19:46:51 +0000janet_beery654006 at http://www.maa.org