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- ...p J. Davis |title=The Rise, Fall, and Possible Transfiguration of Triangle Geometry: A Mini-history |journal=The American Mathematical Monthly |date=1995 |volu ...ancient figure in the nineteenth and twentieth centuries: the new triangle geometry in textbooks in Europe and USA (1888–1952) |contribution-url=https://skemma ...29 KB (4,360 words) - 06:16, 14 February 2025
Page text matches
- ...frac{3}{4}|\triangle ABC|</math><br/>similarity: <math>\triangle BGF \sim \triangle BKH</math><br/>ratios: <math>\tfrac{|BH|}{|BC|}=\tfrac{|HK|}{|AB|}=\tfrac{| ...r of <math>\tfrac{3}{4}</math>.<ref>Roger A. Johnson: ''Advanced Euclidean Geometry''. Dover 2007, {{ISBN|978-0-486-46237-0}}, pp. 282–283</ref><ref>Claud ...2 KB (219 words) - 14:42, 28 November 2024
- {{Short description|Special triangle based on arbitrary triangle}} ...le:Fuhrmann triangle.svg|thumb|upright=1.5|Fuhrmann triangle (red): <math>\triangle M^\prime_c M^\prime_b M^\prime_a </math> <br/> mid arc points: <math>M_a, M ...3 KB (457 words) - 03:07, 1 February 2024
- {{short description|Line tangent to a given triangle's circumcircle at one its vertices}} {{legend-line|solid #4169E1|Reference triangle {{math|△''ABC''}}}} ...2 KB (370 words) - 01:13, 9 October 2023
- {{short description|Given a triangle and a point, constructs a second triangle with a special point}} ...triangle <math>A'B'C'</math>, which are parallel to the according sides of triangle <math>ABC</math> intersect in a common point <math>V'</math> as well]] ...2 KB (340 words) - 18:00, 5 August 2024
- {{short description|Triangle derived from a given triangle and a coplanar point}} ...triangle. It is also associated with the [[circumcircle]] of the reference triangle. ...3 KB (394 words) - 17:00, 9 October 2023
- ...eorem and checked, it doesn't exist. I made this to help people with right triangle}} ...ind a leg and hypotenuse when given only one leg. This works for any right triangle, so long that you use a leg and not the hypotenuse. You can use this for py ...2 KB (348 words) - 18:11, 25 February 2025
- {{short description|On lines connecting the vertices of an equilateral triangle to a point on its circumcircle}} ...athematician [[Frans van Schooten]], describes a property of [[equilateral triangle]]s. It states: ...2 KB (321 words) - 10:43, 14 March 2023
- {{short description|Unique circle centered at a given triangle's orthocenter}} {{legend-line|solid #4169E1|Reference triangle {{math|△''ABC''}}}} ...3 KB (489 words) - 10:21, 3 October 2024
- {{Short description|Triangle center: circumcenter of a triangle's excentral triangle}} {{legend-line|solid black|Reference triangle {{math|△''ABC''}}}} ...3 KB (417 words) - 03:01, 24 June 2024
- {{Short description|Triangle comparison theorem in Riemannian geometry}} ...'Toponogov's theorem''' (named after [[Victor Andreevich Toponogov]]) is a triangle comparison theorem. ...2 KB (339 words) - 01:27, 12 August 2023
- ...ircles I, <math>I_A</math>,<math>I_B</math>,<math>I_C</math> of a circular triangle ABC and its associated triangles.]] ...ived from three given circles that cross pairwise to form eight [[circular triangle]]s. For any one of these eight triangles, and its three neighboring triangl ...2 KB (278 words) - 07:19, 2 June 2024
- {{short description|Triangle center}} ...riangle)|Steiner point]].<ref>{{cite web|last=Kimberling|first=Clark|title=Triangle centers|url=http://faculty.evansville.edu/ck6/tcenters/|accessdate=24 May 2 ...3 KB (465 words) - 02:42, 14 January 2024
- {{short description|Triangle center}} ...lty.evansville.edu/ck6/encyclopedia/ETC.html |encyclopedia=Encyclopedia of Triangle Centers |access-date=3 June 2012 |url-status=dead |archive-url=https://web. ...4 KB (526 words) - 05:29, 10 October 2023
- {{short description|Triangle centers found by trisecting each vertex}} ...ref> ) is designated as X(356) in [[Clark Kimberling]]'s [[Encyclopedia of Triangle Centers]], while the other point called '''second Morley center'''<ref name ...3 KB (397 words) - 19:15, 9 October 2023
- ...e centers of the two [[Soddy circles of a triangle|Soddy circles]] of that triangle. ...onne-Soddy triangle]]. The [[Gergonne point]] and the [[incenter]] of the triangle are located on the Soddy line as well. ...2 KB (251 words) - 08:34, 3 January 2025
- {{short description|Describes a property of the cevians of a triangle intersecting in a common point}} ...try, '''Reuschle's theorem''' describes a property of the [[cevian]]s of a triangle intersecting in a common point and is named after the German mathematician ...2 KB (309 words) - 21:38, 12 May 2024
- {{short description|Triangle center}} ...f name=ETC>{{cite web |last=Kimberling |first=Clark |title=Encyclopedia of Triangle Centers |url=http://faculty.evansville.edu/ck6/encyclopedia/ETC.html |acces ...3 KB (423 words) - 04:54, 10 October 2023
- {{short description|Area of a triangle from its sides and vertex distances to any line tangent to its incircle}} '''Harcourt's theorem''' is a formula in [[geometry]] for the [[area]] of a [[triangle]], as a function of its side lengths and the perpendicular distances of its ...3 KB (441 words) - 22:17, 2 November 2020
- ...hich states that the three projections of a point on the circumcircle of a triangle to its sides are collinear.<ref name="Bae-2012">Sung Chul Bae, Young Joon A ...)|projection]] of <math>P</math> onto the Simson line corresponding to the triangle formed by omitting vertex <math>A_i</math>. Then the four points <math>D_1, ...1 KB (210 words) - 22:45, 2 March 2025
- {{short description|Certain path of line segments parallel to a triangle's edges ends at its starting point}} ...ain|path]] constructed by line segments being parallel to the edges of a [[triangle]] always ends up at its starting point. ...2 KB (305 words) - 05:52, 2 December 2024