It's so much more important to be able to explain things easily, as opposed to convoluting concepts in ridiculous symbols that only those who've taken the time out to learn can understand.
Continuous prose is infinitely better than a symbolic explanation. Or at least that I've found that to be the case in the abysmal books that I've read thus far.
@BalarkaSen do you not see where the comment is targeted? you should be able to click on the arrow at the left of the comment to bring the targeted comment up.
@BalarkaSen Looks interesting! I didn't know that you had an account on there. I sometimes check that forum out for the advanced integration techniques.
@BalarkaSen I'm not a member there. I was linked to it by another forum that I've recently permanently banned myself from. I wasted way too much time on there.
@BalarkaSen Nope, never heard of that forum. It's not a strictly math forum. It had a bunch of other sub forums as well. Could you link me to Integral & Series?
@BalarkaSen Eulidean Geometry is used in many proofs and places.In addition, I'm trying to prepare for a math competition, so I need it regardless of what I believe it is.
@BalarkaSen Indeed, nothing clear.My question is, what is the space between two lines? what is the definition of the space between two lines that Eulidean geometry refers to?
@Khallil Then, what is one degree? it becomes circular, because again, you refer to the angle measurement.
@BalarkaSen ^
@BalarkaSen Both!
@BalarkaSen @Khallil The main problem is, what is the definition of space between two rays? you know, when you get closer to the vertex, the space gets smaller, but the angle remains the same?why? @robjohn
Angles can be measured by taking a string of length $r$ and dragging it through the angle and measuring the area swept out. The angle is $\dfrac{2A}{r^2}$
or angles can be measured by taking a string of length $r$ and dragging it through the angle and measuring the distance the end travels. The angle is $\dfrac{D}{r}$
