arno/bitcoinbook
1
0
Fork 0
mirror of https://github.com/bitcoinbook/bitcoinbook synced 2024-11-23 00:28:14 +00:00
Code Issues Releases Wiki Activity

ch04: Fix subscript

Browse Source 
Resolves #679
This commit is contained in:
Will Binns 2020-07-16 18:12:16 +02:00
parent d494f306a5
commit eb2c8cc7ad
No known key found for this signature in database
GPG Key ID: 302EBEAEEB74A404
1 changed files with 1 additions and 1 deletions
Show Stats Download Patch File Download Diff File Expand all files Collapse all files

2
ch04.asciidoc
View File

@ -186,7 +186,7 @@ There are a couple of special cases that explain the need for the "point at infi
If P~1~ and P~2~ are the same point, the line "between" P~1~ and P~2~ should extend to be the tangent on the curve at this point P~1~. This tangent will intersect the curve in exactly one new point. You can use techniques from calculus to determine the slope of the tangent line. These techniques curiously work, even though we are restricting our interest to points on the curve with two integer coordinates!
In some cases (i.e., if P~1~ and P~2~ have the same x values but different y values), the tangent line will be exactly vertical, in which case P3 = "point at infinity."
In some cases (i.e., if P~1~ and P~2~ have the same x values but different y values), the tangent line will be exactly vertical, in which case P~3~ = "point at infinity."
If P~1~ is the "point at infinity," then P~1~ + P~2~ = P~2~. Similarly, if P~2~ is the point at infinity, then P~1~ + P~2~ = P~1~. This shows how the point at infinity plays the role of zero.