When you rotated the a 180 degrees, you increased the distance from the line from 10pt to 15pt, yet the letter actually moved closer to the line instead of further. Why?
It is because the centre of the rotation is the midpoint of the line. Therefore, the order of transformations is: 1) move the node above left of the line; 2) rotate node around the midpoint of the line; 3) move the node 15pt above left from its current position. So the reason that it appears closer is only because it has further to travel. You can see this if you keep the distance to be the default (0pt): \draw (1,1)--(4,3) node[midway, above left] {$a$}; \draw (1,1)--(4,3) node[midway, above left, rotate=180] {$a$};
For an equivalent reason that the arrow has its tip at (4,3)... the line has to start from (1,1) and finish at (4,3) so any arrows, circles, etc. drawn as endpoints of the line have to be contained within these points.
Thank you very much, the best video I've ever seen about this. Following since now. Huges from Brazil. ;)
This is terrific. I just finished learning HTML but this LaTex is much better. Thanks.
Thank you .. greeting from morocco 🇲🇦🇲🇦
This is much more than I expected. Thank you so much!
Thank you for this very important (to me) tutorial!!!
This is great, thank you
Great stuff, thanks.
Great video! Thanks!
How to display a text on a circular area using polar coordinates?
Thanks. 👍
This video was super helpful!
Amazing! Thanks 🙂
this is really clear thank you!
Awesome
thank you for this tutorial
When you rotated the a 180 degrees, you increased the distance from the line from 10pt to 15pt, yet the letter actually moved closer to the line instead of further. Why?
It is because the centre of the rotation is the midpoint of the line. Therefore, the order of transformations is:
1) move the node above left of the line;
2) rotate node around the midpoint of the line;
3) move the node 15pt above left from its current position.
So the reason that it appears closer is only because it has further to travel.
You can see this if you keep the distance to be the default (0pt):
\draw (1,1)--(4,3) node[midway, above left] {$a$};
\draw (1,1)--(4,3) node[midway, above left, rotate=180] {$a$};
Your program , in the notes does not compile .
why does the circle's center, at the end of the line, not located at (1,1)?
For an equivalent reason that the arrow has its tip at (4,3)... the line has to start from (1,1) and finish at (4,3) so any arrows, circles, etc. drawn as endpoints of the line have to be contained within these points.
This is horrific. I just started learning PeRL and this math debug project is much worse. Welcome.
Just wanted to point out, the abbreviation "pt" stands for "point", not "pint". See en.wikipedia.org/wiki/Point_(typography)
Thanks!
doesnt even compile on my machine...
Thanks