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== References == === Notes === {{notelist|group=alpha}} === Footnotes === {{reflist|30em}} === Works cited === {{refbegin|30em}} * {{cite journal | last1 = Allaire | first1 = Patricia R. | last2 = Zhou | first2 = Junmin | last3 = Yao | first3 = Haishen | title = Proving a nineteenth century ellipse identity" | journal = [[Mathematical Gazette]] | volume = 96 | year = 2012 | pages = 161–165 | doi = 10.1017/S0025557200004277 }} * {{cite book | last1 = Anglin | first1 = W. S. | last2 = Lambek | first2 = J. | year = 1995 | title = The Heritage of Thales | publisher = Springer | isbn = 978-1-4612-0803-7 | doi = 10.1007/978-1-4612-0803-7 }} * {{cite book|last=Apostol |first=Tom M. |author-link=Tom M. Apostol |title=Linear Algebra |pages= |publisher=Wiley |year=1997 |isbn=0-471-17421-1}} * {{cite book | last = Axler | first = Sheldon | year = 2012 | title = Algebra and Trigonometry | url = https://books.google.com/books?id=B5RxDwAAQBAJ | publisher = [[John Wiley & Sons]] | isbn = 978-0470-58579-5 }} * {{cite journal | last1 = Bailey | first1 = Herbert | last2 = Detemple | first2 = Duane | title = Squares inscribed in angles and triangles | journal = [[Mathematics Magazine]] | volume = 71 | issue = 4 | year = 1998 | pages = 278–284 | doi = 10.1080/0025570X.1998.11996652 }} * {{cite book | last = Ballmann | first = Werner | author-link=Hans Werner Ballmann | title = Lectures on spaces of nonpositive curvature | series = DMV Seminar 25 | publisher = Birkhäuser Verlag | location = Basel | year = 1995 | pages = viii+112 | isbn = 3-7643-5242-6 | mr = 1377265 }} * {{cite book | last = Berger | first = Marcel | title = A panoramic view of Riemannian geometry | year = 2002 | publisher = Springer | doi = 10.1007/978-3-642-18245-7 | isbn = 978-3-642-18245-7 }} * {{cite book | last1 = Berg | first1 = Mark Theodoor de | last2 = Kreveld | first2 = Marc van | last3 = Overmars | first3 = Mark H. | last4 = Schwarzkopf | first4 = Otfried | title = Computational geometry: algorithms and applications | year = 2000 | publisher = Springer | isbn = 978-3-540-65620-3 | edition = 2 | location = Berlin Heidelberg | pages = 45–61 }} * {{cite book | last = Byrne | first = Oliver | title = The First Six Books of the Elements of Euclid | publisher = TASCHEN GmbH | year = 2013 | orig-year = 1847 | isbn = 978-3-8365-4471-9 | edition = facsimile | author-link = Oliver Byrne (mathematician) | url = https://archive.org/details/firstsixbooksofe00eucl }} * {{cite book | last = Cromwell | first = Peter R. | title = Polyhedra | year = 1997 | url = https://archive.org/details/polyhedra0000crom | publisher = [[Cambridge University Press]] | isbn = 978-0-521-55432-9 }} * {{cite journal | last = Cundy | first = H. Martyn | author-link = Martyn Cundy | title = Deltahedra | journal = [[Mathematical Gazette]] | volume = 36 | pages = 263–266 | year = 1952 | issue = 318 | doi = 10.2307/3608204 | jstor = 3608204 }} * {{cite book | last = Eggleston | first = H. G. | title = Problems in Euclidean Space: Applications of Convexity | publisher = Dover Publications | year = 2007 | isbn = 978-0-486-45846-5 | pages = 149–160 | orig-year = 1957 }} * {{cite journal | last1 = Chandran | first1 = Sharat | last2 = Mount | first2 = David M. | doi = 10.1142/S0218195992000123 | issue = 2 | journal = International Journal of Computational Geometry & Applications | mr = 1168956 | pages = 191–214 | title = A parallel algorithm for enclosed and enclosing triangles | volume = 2 | year = 1992}} * {{cite book|first1=H. S. M. |last1=Coxeter |author-link1=H. S. M. Coxeter |first2=S. L. |last2=Greitzer |author-link2=Samuel L. Greitzer |title=Geometry Revisited |publisher=Mathematical Association of America |year=1967 |series=[[Anneli Lax New Mathematical Library]] |volume=19 |isbn= 978-0-88385-619-2 |pages=}} * {{cite book | last1 = Devadoss | first1 = Satyan L. | last2 = O'Rourke | first2 = Joseph | year = 2011 | title = Discrete and Computational Geometry | url = https://books.google.com/books?id=InJL6iAaIQQC | publisher = [[Princeton University Press]] | isbn = 978-0-691-14553-2 }} * {{cite book | last = Ericson | first = Christer | year = 2005 | title = Real-Time Collision Detection | publisher = [[CRC Press]] | url = https://books.google.com/books?id=WGpL6Sk9qNAC | isbn = 978-1-55860-732-3 }} * {{cite book | last = Guillermo | first = Artemio R. | title = Historical Dictionary of the Philippines | publisher = Scarecrow Press | year = 2012 | isbn = 978-0810872462 }} * {{cite book | last = Gonick | first = Larry | author-link = Larry Gonick | year = 2024 | title = The Cartoon Guide to Geometry | publisher = William Morrow | isbn = 978-0-06-315757-6 }} * {{cite book | last = Hann | first = Michael | title = Structure and Form in Design: Critical Ideas for Creative Practice | publisher = A&C Black | year = 2014 | isbn = 978-1-4725-8431-1 | url = https://books.google.com/books?id=-CX-AgAAQBAJ }} *{{cite book | last = Heath |first = Thomas L. |author-link = Thomas Little Heath | title = The Thirteen Books of Euclid's Elements | volume = 1 | year = 1926 | edition = 2nd | publisher = Cambridge University Press | hdl = 2027/uva.x001426155 | url = https://hdl.handle.net/2027/uva.x001426155 }} [https://archive.org/details/thirteenbooksofe0001eucl_e2h2 Dover reprint, 1956]. {{SBN|486-60088-2}}. * {{cite book | last = Herz-Fischler | first = Roger | year = 2000 | isbn = 0-88920-324-5 | publisher = Wilfrid Laurier University Press | title = The Shape of the Great Pyramid }} * {{cite book | last = Holme | first = A. | year = 2010 | title = Geometry: Our Cultural Heritage | publisher = [[Springer Science+Business Media|Springer]] | url = https://books.google.com/books?id=zXwQGo8jyHUC | isbn = 978-3-642-14441-7 | doi = 10.1007/978-3-642-14441-7 }} * {{cite journal | last = Hungerbühler | first = Norbert | doi = 10.2307/2974536 | issue = 8 | journal = [[American Mathematical Monthly]] | mr = 1299166 | pages = 784–787 | title = A short elementary proof of the Mohr-Mascheroni theorem | volume = 101 | year = 1994| jstor = 2974536 | citeseerx = 10.1.1.45.9902 }} * {{cite book | last1 = Jordan | first1 = D. W. | last2 = Smith | first2 = P. | year = 2010 | title = Mathematical Techniques: An Introduction for the Engineering, Physical, and Mathematical Sciences | url = https://books.google.com/books?id=tevqDwAAQBAJ | publisher = [[Oxford University Press]] | edition = 4th | isbn = 978-0-19-928201-2 }} * {{cite journal | last = Kalman | first = Dan | url = http://mathdl.maa.org/mathDL/22/?pa=content&sa=viewDocument&nodeId=3338&pf=1 | title = An Elementary Proof of Marden's Theorem | year = 2008 | journal = [[American Mathematical Monthly]] | volume = 115 | issue = 4 | pages = 330–338 | doi = 10.1080/00029890.2008.11920532 }} * {{cite book | last = King | first = James R. | year = 2021 | title = Geometry Transformed: Euclidean Plane Geometry Based on Rigid Motions | publisher = [[American Mathematical Society]] | url = https://books.google.com/books?id=6UgrEAAAQBAJ | isbn = 9781470464431 }} * {{cite book | last1 = Lang | first1 = Serge | author-link = Serge Lang | last2 = Murrow | first2 = Gene | year = 1988 | title = Geometry: A High School Course | edition = 2nd | publisher = Springer | isbn = 978-1-4757-2022-8 | doi = 10.1007/978-1-4757-2022-8 }} * {{cite book | last = Lardner | first = Dionysius | author-link = Dionysius Lardner | location = London | series = The Cabinet Cyclopædia | title = A Treatise on Geometry and Its Application in the Arts | url = https://archive.org/details/atreatiseongeom00lardgoog | year = 1840 }} * {{cite journal | last = Longuet-Higgins | first = Michael S. | title = On the ratio of the inradius to the circumradius of a triangle | journal = [[Mathematical Gazette]] | volume = 87 | year = 2003 | pages = 119–120 | doi = 10.1017/S0025557200172249 }} * {{cite journal | last = Meisters | first = G. H. | doi = 10.2307/2319703 | issue = 6 | journal = [[The American Mathematical Monthly]] | jstor = 2319703 | mr = 0367792 | pages = 648–651 | title = Polygons have ears | volume = 82 | year = 1975 }} * {{cite book | last = Montroll | first = John | author-link = John Montroll | isbn = 9781439871065 | publisher = A K Peters | title = Origami Polyhedra Design | title-link = Origami Polyhedra Design | year = 2009 }} * {{cite book | last = Nielsen | first = Frank | editor-last = Nielsen | editor-first = Frank | year = 2021 | title = Progress in Information Geometry: Theory and Applications | series = Signals and Communication Technology | contribution = On Geodesic Triangles with Right Angles in a Dually Flat Space | contribution-url = https://books.google.com/books?id=hHMjEAAAQBAJ | publisher = Springer | isbn =978-3-030-65458-0 | doi = 10.1007/978-3-030-65459-7 }} * {{cite journal | last = Oldknow | first = Adrian | year = 1995 | title = Computer Aided Research into Triangle Geometry | journal = [[The Mathematical Gazette]] | volume = 79 | issue = 485 = | pages = 263–274 | doi = 10.2307/3618298 | jstor = 3618298 }} * {{cite journal | last1 = Oxman | first1 = Victor | last2 = Stupel | first2 = Moshe | title = Why Are the Side Lengths of the Squares Inscribed in a Triangle so Close to Each Other? | journal = [[Forum Geometricorum]] | volume = 13 | year = 2013 | pages = 113–115 }} * {{cite book | last1 = Pocchiola | first1 = Michel | last2 = Vegter | first2 = Gert | editor-last1 = Chazelle | editor-first1 = Bernard | editor-last2 = Goodman | editor-first2 = Jacob E. | editor-last3 = Pollack | editor-first3 = Richard | year = 1999 | contribution = On Polygonal Covers | title = Advances in Discrete and Computational Geometry: Proceedings of the 1996 AMS-IMS-SIAM Joint Summer Research Conference, Discrete and Computational Geometry—Ten Years Later, July 14-18, 1996, Mount Holyoke College | publisher = American Mathematical Soc. | isbn = 978-0-8218-0674-6 | url = https://books.google.com/books?id=vtkaCAAAQBAJ }} * {{cite book | last1 = Ramsay | first1 = Arlan | last2 = Richtmyer | first2 = Robert D. | year = 1995 | title = Introduction to Hyperbolic Geometry | publisher = Springer | isbn = 978-1-4757-5585-5 | doi = 10.1007/978-1-4757-5585-5 }} * {{cite journal | last1 = Riley | first1 = Michael W. | last2 = Cochran | first2 = David J. | last3 = Ballard | first3 = John L. | date = December 1982 | doi = 10.1177/001872088202400610 | issue = 6 | journal = Human Factors: The Journal of the Human Factors and Ergonomics Society | pages = 737–742 | title = An Investigation of Preferred Shapes for Warning Labels | volume = 24 | s2cid = 109362577 }} * {{cite book | last = Ryan | first = Mark | year = 2008 | title = Geometry For Dummies | publisher = [[John Wiley & Sons]] | url = https://books.google.com/books?id=b_qM4HImlPgC | isbn = 978-0-470-08946-0 }} * {{cite book|last=Smith |first=James T. |title=Methods of Geometry |pages= |publisher=Wiley |year=2000 |isbn=0-471-25183-6}} * {{cite book | last = Stahl | first = Saul | isbn = 0-13-032927-4 | publisher = Prentice-Hall | title = Geometry from Euclid to Knots | year = 2003}} * {{cite book | last1 = Usiskin | first1 = Zalman | author1-link = Zalman Usiskin | last2 = Griffin | first2 = Jennifer | isbn = 9781607526001 | publisher = Information Age Publishing | series = Research in Mathematics Education | title = The Classification of Quadrilaterals: A Study in Definition | year = 2008 }} * {{cite book | last1 = Vahedi | first1 = Mostafa | last2 = van der Stappen | first2 = A. Frank | editor-last1 = Akella | editor-first1 = Srinivas | editor-last2 = Amato | editor-first2 = Nancy M. | editor-last3 = Huang | editor-first3 = Wesley | editor-last4 = Mishra | editor-first4 = Bud | contribution = Caging Polygons with Two and Three Fingers | contribution-url = https://books.google.com/books?id=SLo6okq4wVgC | title = Algorithmic Foundation of Robotics VII: Selected Contributions of the Seventh International Workshop on the Algorithmic Foundations of Robotics | year = 2008 | isbn = 978-3-540-68405-3 | doi = 10.1007/978-3-540-68405-3 }} * {{cite journal | last1 = Verdiyan | first1 = Vardan | last2 = Salas | first2 = Daniel Campos | title = Simple trigonometric substitutions with broad results | journal = Mathematical Reflections | issue = 6 | year = 2007 }} * {{cite book | last = Young | first = Cynthia | author-link = Cynthia Y. Young | year = 2017 | title = Trigonometry | edition = 4th | publisher = John Wiley & Sons | url = https://books.google.com/books?id=476ZDwAAQBAJ | isbn = 978-1-119-32113-2 }} {{refend}}
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