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• 1998 AHSME Problems/Problem 28
  By the application of ratio lemma for <math>\frac{CD}{BD}</math>, we get <math>\frac{CD}{BD} =
  4 KB (662 words) - 00:51, 3 October 2023
• 2001 IMO Shortlist Problems/G1
  An application of the trigonometric version of Ceva's Theorem shows that <math>AA_2</math>
  3 KB (584 words) - 15:07, 12 December 2011
• Carnot's Theorem
  ...B</math> respectively. Note that <math>PB^2-PC^2=XB^2-XC^2</math> from the application of pythogorean theorem to triangles <math>PXB,PXC</math>. Now with similar
  4 KB (723 words) - 01:45, 18 February 2021
• Coca-Cola Scholars Foundation
  ...,200 Semi-Finalists are chosen, who then have to complete a more extensive application, due in mid-January. 250 Finalists are then chosen and flown to Atlanta, Ge More information and the application can be found at [https://www.coca-colascholars.org/ coca-colascholars.org]
  1 KB (161 words) - 15:35, 12 June 2010
• Two Tangent Theorem
  From a simple application of the [[Power of a Point Theorem]], the result follows.
  566 bytes (93 words) - 22:47, 5 December 2023
• Cauchy's Integral Formula
  by application of [[Cauchy's Integral Theorem]].
  4 KB (689 words) - 17:19, 18 January 2024
• 2004 USAMO Problems/Problem 2
  ...math>y</math>. By (b), <math>x - y</math> is in <math>S</math>, and by the application of (c) above, we get that <math>n(x - y)</math> for integers <math>n</math>
  3 KB (508 words) - 14:23, 17 July 2014
• Radical axis
  The proof of the lemma is an easy application of the Pythagorean Theorem and will again be left to the reader as an exerc
  12 KB (2,125 words) - 08:38, 23 May 2024
• API:Product:get weight
  ...s function locally so as to limit the number of server API calls that your application makes. '''AoPSAPI_Exception::INVALID_PERMISSIONS''' - API Application does not have permission to submit order
  2 KB (283 words) - 17:58, 28 May 2009
• API::Order::generate
  '''AoPSAPI_Exception::INVALID_PERMISSIONS''' - API Application does not have permission to submit order
  3 KB (381 words) - 15:17, 3 June 2009
• Broadcom MASTERS
  ...cipants to enter this prestigious competition. After submitting the online application, 300 semifinalists are selected and 30 finalists present their research pro
  694 bytes (88 words) - 09:45, 23 December 2016
• National Merit Scholarship Program
  ...eet the cutoff score (varies by state and from year-to-year) can begin the application process for the National Merit Scholarship Program. ...senior year that they have qualified as semifinalists. After completing an application, most of the semifinalists (about 15,000) are notified in February that the
  1 KB (173 words) - 10:33, 23 July 2010
• AXA Achievement Scholarship
  More information and the application (starting in the fall) can be found at [http://www.axa-equitable.com/axa-fo
  818 bytes (107 words) - 16:12, 14 June 2010
• Ronald McDonald House Charities Scholarships
  * Submit an application and required documentation by the deadline
  941 bytes (130 words) - 10:50, 23 July 2010
• Banneker/Key Scholarships
  ...an applicants admitted to the Honors College are considered (no additional application materials).
  1 KB (148 words) - 11:24, 23 July 2010
• Charpie Scholarship
  * No additional application materials are required.
  898 bytes (119 words) - 02:04, 1 April 2015
• Murray Scholars
  ...f the in-state tuition for our out-of-state students. There is no separate application. All applicants to the school are considered; potential finalists are asked
  475 bytes (73 words) - 22:24, 15 June 2010
• Davidson Fellows Scholarship
  ...Submission Overview Form will be due in February followed by the complete application in early March. Each applicant must have '''three''' nominators. More information and the application can be found at [http://www.davidsongifted.org/fellows/ davidsongifted.org]
  1 KB (202 words) - 16:34, 14 June 2010
• The James L. and Nellie M. Westlake Scholarship Program
  ...estlake/ sms.scholarshipamerica.org/westlake] for more information and the application.
  897 bytes (134 words) - 16:44, 14 June 2010
• Hesburgh-Yusko Scholars Program
  There is no direct application for the scholarship. Instead, if your school has been notified that it is e ...from schools and the Admissions Office) are invited to apply with another application. From those applications, 100 semi-finalists are chosen. They are then all
  1 KB (153 words) - 23:22, 14 June 2010

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