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authorCarl Worth <cworth@cworth.org>2004-10-12 14:09:37 +0000
committerCarl Worth <cworth@cworth.org>2004-10-12 14:09:37 +0000
commit047ce336000d595bcc123bb3647c44d239e1b89a (patch)
tree646ed3f63fe105e1afba11144f9209f1fb02967e /src/cairo-pen.c
parentcc890b9cf4d2a38e13ae48e16589c4fd02678f99 (diff)
downloadcairo-047ce336000d595bcc123bb3647c44d239e1b89a.tar.gz
Fix a few typos in pen vertex math description.
Diffstat (limited to 'src/cairo-pen.c')
-rw-r--r--src/cairo-pen.c6
1 files changed, 3 insertions, 3 deletions
diff --git a/src/cairo-pen.c b/src/cairo-pen.c
index 1c63adec9..3e58dd7fc 100644
--- a/src/cairo-pen.c
+++ b/src/cairo-pen.c
@@ -231,7 +231,7 @@ and
Thus the maximum value is
- MAX[a*cos(t) + b*sin(t)] = (a*a + b*b)/sqrt(a^2 + b^2)
+ MAX[a*cos(t) + b*sin(t)] = (a^2 + b^2)/sqrt(a^2 + b^2)
= sqrt(a^2 + b^2)
@@ -253,7 +253,7 @@ Define
Thus
r^2(t) = (a*cos(t) + b*sin(t))^2 + (c*cos(t) + d*sin(t))^2
- = (a^2 + c^2)*cos(t) + (b^2 + d^2)*sin(t)
+ = (a^2 + c^2)*cos^2(t) + (b^2 + d^2)*sin^2(t)
+ 2*(a*b + c*d)*cos(t)*sin(t)
Now apply the double angle formulae (A) to (C) from above:
@@ -333,7 +333,7 @@ Now compute the approximation error, E:
Find the extremum by differentiation wrt t and setting that to zero
-∂(E²)/∂(t) = (1-cos(d))² (M² - m²) (-2 cos(t) sin(t))
+∂(E²)/∂(t) = (1-cos(∆))² (M² - m²) (-2 cos(t) sin(t))
0 = 2 cos (t) sin (t)
0 = sin (2t)