AboutAzeem Hussain Expertise I can answer virtually any kind of question dealing with of Math 536 and below, my forte being in parabolic functions and analytical geometry.
I'm currently learning Calculus I, and cannot answer questions that deal with subject matter more advanced than that.
Experience I am neither a professor nor a teacher of this subject. I am merely a student who is gifted at mathematics and enjoys being of service to his community. I frequently tutor people in math and the results are usually great.
Publications Reflections, Riverside School Board (2005, 2006)
Education/Credentials Diploma of Secondary Studies from Chambly Academy High School, and IBO-MYP certificate as well. My lowest mark on a high school math final was 97%, peaking at 99% in 2006 and 2007 (second-highest Math 436 mark in the province). Being a Quebecer, I am fluent in English and French and can respond to questions easily in both languages.
Awards and Honors Pascal Math Competition, School Champion(2007)
Question I know this:
To draw a 60 degree angle, fix compass on point A and draw an arc intersecting straight line at B. Then fix compass on B and without adjusting compass radius, draw another arc intersecting the first arc at say C. Join A C and the angle CAB is 60 degrees.
Fine. Now, to bisect this, we have to fix compass on point C, adjust radius roughly to more than half of arc CB and draw an arc. Repeat with compass fixed at B and draw an arc. Join A to the intersection of this set of arcs at say X and XAB equals 30 degrees.
My QUESTION:
What is the reasoning behind doing the final set of arcs roughly more than half whose intersection joined to A gives XAB equal 30 degrees.
I hope the question is not ridiculous.
Answer Hi Somnath,
I don't quite follow the part about the actual bisection. To my understanding, it would not work.
The way to bisect, according to what I know is the following. Place the compass on point A (the vertex) and select a radius. It does not matter what this radius is, as long as you stick to it. Draw an arc so that it intersects lines AB and AC (call them AYB and AZC). Keeping the same radius, put the compass on point Z and make an arc. Do the same with point Y. Connect the intersection of the two final arcs, X, to the vertex, A. AX is the angle bisector.
