Search Me

Recent Posts
 Virtual Reality!
 Girls’ Angle Bulletin, Volume 9, Number 6
 Girls’ Angle Bulletin, Volume 9, Number 5
 Girls’ Angle Bulletin, Volume 9, Number 4
 Girls’ Angle Bulletin, Volume 9, Number 3
 Math Collaborations
 Happy New Year 2016!
 Girls’ Angle Bulletin, Volume 9, Number 2
 Girls’ Angle Bulletin, Volume 9, Number 1
 Girls’ Angle BacktoSchool Puzzle Raffle
 Girls’ Angle Bulletin, Volume 8, Number 6
 Origamiinspired Proof of the Pythagorean Theorem
Categories
 applied math (3)
 Contest Math (24)
 gender issues (9)
 math (101)
 Math Education (84)
 Uncategorized (18)
 WIM videos (4)
Archives
 September 2016 (1)
 August 2016 (1)
 June 2016 (1)
 April 2016 (1)
 February 2016 (2)
 January 2016 (1)
 December 2015 (1)
 October 2015 (1)
 September 2015 (1)
 August 2015 (2)
 June 2015 (2)
 May 2015 (1)
 April 2015 (1)
 March 2015 (1)
 February 2015 (2)
 January 2015 (1)
 December 2014 (2)
 October 2014 (1)
 September 2014 (1)
 August 2014 (1)
 July 2014 (1)
 June 2014 (2)
 May 2014 (1)
 February 2014 (1)
 January 2014 (4)
 December 2013 (1)
 November 2013 (2)
 September 2013 (2)
 August 2013 (1)
 July 2013 (2)
 June 2013 (1)
 May 2013 (1)
 April 2013 (3)
 March 2013 (1)
 February 2013 (2)
 January 2013 (2)
 December 2012 (2)
 November 2012 (2)
 October 2012 (3)
 September 2012 (8)
 August 2012 (10)
 July 2012 (7)
 June 2012 (3)
 May 2012 (3)
 April 2012 (7)
 March 2012 (4)
 February 2012 (3)
 December 2011 (4)
 November 2011 (7)
 October 2011 (11)
 September 2011 (13)
 August 2011 (16)
Everything Math
AIME angles arctangent area calculus CEO chocolate circles Coach Barb combinatorics complex numbers conformal crossword cubes dates derivative divisibility Emily Riehl exponentials Fermat's little theorem finite fields geometry Girls' Angle Girls' Angle Bulletin girls and math infinite geometric series irreducible polynomials Jean Pedersen Julia Zimmerman Kate Jenkins learning linear algebra mass points math math contests Math Doctor Bob mathematicians math event math games math magazine math prize for girls math problems math trivia math videos mental computation multiplication optimization origami palindromes parabolas permutations perspective drawing probability puzzle Pythagorean theorem Pythagorean triples quadratic raffle contest roots science secret messages similarity sine stereographic projection sumit tangent telescoping sum tennis triangles trigonometry USWIM variables Vieta's formulas volume Women's History Month
Tag Archives: angles
“Parabolas of Apollonius?” Spoiler
This is an answer to the question posed in Parabolas of Apollonius? which was inspired by Maria Monk’s blogpost on the Circles of Apollonius.
Posted in math
Tagged angles, complex function, complex plane, conformal, geometry, parabolas, perpendicular
Leave a comment
Parabolas of Apollonius?
This question is inspired by Maria Monks’ blog post on the Circles of Apollonius. Pictured above are some parabolas from two families of parabolas. The Blue Family is given by the parabolas , for . The Red Family is given … Continue reading
Back to Basics: Arctangent
Recently, a student asked me about problem #8 on the 2008 AIME 1 competition, which is reproduced here for your convenience: Find the positive integer such that . She was able to solve this using the sum of arctangents identity … Continue reading
Stereographic Projection is Conformal
In Hana Kitasei and Tim Reckart’s animated video, Summer Vacation, Angela says that stereographic projection preserves angles. Here’s a proof.