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- ...e many tools in a good geometer's arsenal. A very large number of geometry problems can be solved by building right triangles and applying the Pythagorean Theo Consider a circle <math>\omega </math> with center <math>B </math> and radius <math>BC </math5 KB (885 words) - 22:03, 5 October 2024
- ...nd the third is tangent to the first circle and the <math>y</math>-axis. A circle of radius <math>r > s</math> is tangent to both axes and to the second and draw(Circle(O0,9));2 KB (307 words) - 23:58, 17 November 2024
- ...ex.php?f=298 middle school math forums] where students can discuss contest problems and mathematics. ...th League]] and [[San Diego Math Olympiad]] hosted by the [[San Diego Math Circle]] [http://www.artofproblemsolving.com/SDMC/AoPS_S_Schedule.php website]4 KB (539 words) - 02:16, 11 December 2024
- ...ex.php?f=298 middle school math forums] where students can discuss contest problems and mathematics. ...ndex.php?f=214 high school math forums] where students can discuss contest problems and mathematics2 KB (231 words) - 12:07, 14 December 2019
- ...s help organize a large and well-organized [aops.com/resources.php list of problems and solutions] from [[mathematics competitions]] all over the world. ...de hundreds of hours of teaching and support time for the [[San Diego Math Circle]].5 KB (658 words) - 09:03, 3 November 2024
- [[2015 IMO Problems/Problem 1|Solution]] [[2015 IMO Problems/Problem 2|Solution]]4 KB (709 words) - 14:00, 1 June 2024
- ...decided upon. The team is organized by and practices at the San Diego Math Circle (SDMC), and most of the students on last year's team were regular attendees * [http://www.sdmathcircle.org/Welcome.php San Diego Math Circle website]22 KB (3,532 words) - 10:25, 27 September 2024
- == Olympiad Problems == # Prove that among any ten points located inside a circle with diameter 5, there exist at least two at a distance less than 2 from ea11 KB (1,986 words) - 18:13, 19 June 2024
- ...metry]] in the following situation: if <math>AB</math> is a [[chord]] of [[circle]] <math>O</math> with [[midpoint]] <math>M</math> and <math>M</math> divide == Practice Problems ==2 KB (282 words) - 21:04, 11 July 2008
- ...e [[AM-GM Inequality]], Cauchy-Schwarz forms the foundation for inequality problems in intermediate and olympiad competitions. It is particularly crucial in pr ...ion comes in handy in linear algebra problems at intermediate and olympiad problems.13 KB (2,048 words) - 14:28, 22 February 2024
- ...Hao Ye]] and [[Mark Tiefenbruck]] and is supported by the [[San Diego Math Circle]]. [[user:generating | Andy Niedermaier]] was a coach for 2007-2009, and [ High scorers were freshmen Edward Zhu and Richard Mu, with 6 out of 8 problems.2 KB (378 words) - 15:34, 5 January 2010
- ==Problems== ...d \mathrm{(E) \ } 11 </math><div style="text-align:right;">([[2006 AMC 10A Problems/Problem 8|2006 AMC 10A, Problem 8]])</div>3 KB (551 words) - 15:22, 13 September 2023
- ...particularly useful and shows up frequently on Intermediate level geometry problems. It also provides the basis for the definition of a [[metric space]] in ...rgest area. Conversely, of all plane figures with area <math>A</math>, the circle has the least perimeter.7 KB (1,300 words) - 00:11, 28 October 2024
- == Problems == ...e positive integers. Determine <math>p + q</math>. ([[Mock AIME 3 Pre 2005 Problems/Problem 7|Source]])3 KB (543 words) - 18:35, 29 October 2024
- ...uality]]. Ptolemy's theorem frequently shows up as an intermediate step in problems involving inscribed figures. ...>A^*, B^*, C^*</math> are collinear, i.e. when <math>A,B,C</math> lie on a circle containing <math>D.</math> Additionally, by the Inversion Distance Formula,7 KB (1,198 words) - 08:36, 8 December 2024
- ...h> subtends <math>\theta</math> as well as <math>\angle EFH</math> on this circle, so <math>\angle EFH = \theta = 90^\circ - \angle C</math>. The same argume This lemma makes frequent appearances in olympiad geometry. Problems written in either excenters or the orthic triangle can often be solved by s8 KB (1,408 words) - 08:39, 10 July 2024
- ...fproblemsolving.com/Videos/external.php?video_id=57 (Counting Objects in a Circle Part 1)] ...fproblemsolving.com/Videos/external.php?video_id=61 (Counting Objects in a Circle Part 2)]4 KB (635 words) - 11:19, 2 January 2022
- For example, circle 2, and cross out all other multiples of two. Then circle 3, and cross out all multiples of three. Repeat with all other prime number ...ation]] plays an important role in solving many kinds of [[number theory]] problems.6 KB (1,036 words) - 17:26, 2 September 2024
- A '''circle''' is a geometric figure commonly used in Euclidean [[geometry]]. {{asy image|<asy>unitsize(2cm);draw(unitcircle,blue);</asy>|right|A basic circle.}}9 KB (1,585 words) - 12:46, 2 September 2024
- ...ical, not circular, orbits with the sun at one of the foci. Note that the circle is just a special case of the ellipse, just as a square is to a rectangle, ==Problems==5 KB (892 words) - 20:52, 1 May 2021