| Eureka! I had just found ALL the formulae for the centres of any triangle ABC with coordinates by a simple and beautiful theorem. Denote the coordinates of A, B and C by A, B and C respectively; angles A, B and C by A, B and C(italic and bold) with their opposite sides by a, b and c respectively. The coordinates of : (a) centroid T are (A+B+C)/3, (b) orthocentre H are [(asecA)A+(bsecB)B+(csecC)C]/(asecA+bsecB+csecC), (c) in-centre I are (aA+bB+cC)/(a+b+c) (d) circum-centre R are [(acosA)A+(bcosB)B+(ccosC)C]/(acosA+bcosB+ccosC). If you are interested in the wonderful proofs, please press the link http://tinyurl.com/yg2av7g . Are they beautiful? |
| |
| 幸福，本身既不客觀，
也不是一種狀況，
更不是因你擁有多寡，
而是一種主觀的感覺，
一種對現狀的睇法。
幸福其實很簡單，便是：
樂在其中，活在當下！
|
| |
| Multiple-Choice Question 1
A. Do what you hate.
B. Hate what you do.
C. Love what you do.
D. Do what you love.
What do you prefer?
|
| |
| 真正的知識分子，
是把自己的知識貢獻給知識比他低的人，
而不是反過來，
利用知識去掠奪知識比他不足的人。 |
| |
