From 9d2dd113bde44f3eb68202aba512f0de70fd2409 Mon Sep 17 00:00:00 2001 From: Bezierinfo CI Date: Tue, 15 Aug 2023 15:28:56 +0000 Subject: [PATCH] Automated build --- .../7fd3e895c0eea0965470dd619450b679.svg | 1 + .../e7e8e1f5727387079dbc5770181187c2.svg | 1 + .../7fd3e895c0eea0965470dd619450b679.ascii | 5 ++ .../e7e8e1f5727387079dbc5770181187c2.ascii | 4 ++ docs/index.html | 53 ++++++------------- docs/ja-JP/index.html | 53 ++++++------------- docs/ko-KR/index.html | 53 ++++++------------- docs/news/2020-09-18.html | 2 +- docs/news/2020-11-22.html | 2 +- docs/news/index.html | 2 +- docs/news/rss.xml | 2 +- docs/ru-RU/index.html | 53 ++++++------------- docs/uk-UA/index.html | 53 ++++++------------- docs/zh-CN/index.html | 53 ++++++------------- 14 files changed, 111 insertions(+), 226 deletions(-) create mode 100644 docs/images/chapters/offsetting/7fd3e895c0eea0965470dd619450b679.svg create mode 100644 docs/images/chapters/offsetting/e7e8e1f5727387079dbc5770181187c2.svg create mode 100644 docs/images/snippets/offsetting/7fd3e895c0eea0965470dd619450b679.ascii create mode 100644 docs/images/snippets/offsetting/e7e8e1f5727387079dbc5770181187c2.ascii diff --git a/docs/images/chapters/offsetting/7fd3e895c0eea0965470dd619450b679.svg b/docs/images/chapters/offsetting/7fd3e895c0eea0965470dd619450b679.svg new file mode 100644 index 00000000..ee8ccbf4 --- /dev/null +++ b/docs/images/chapters/offsetting/7fd3e895c0eea0965470dd619450b679.svg @@ -0,0 +1 @@ + \ No newline at end of file diff --git a/docs/images/chapters/offsetting/e7e8e1f5727387079dbc5770181187c2.svg b/docs/images/chapters/offsetting/e7e8e1f5727387079dbc5770181187c2.svg new file mode 100644 index 00000000..cc6c138d --- /dev/null +++ b/docs/images/chapters/offsetting/e7e8e1f5727387079dbc5770181187c2.svg @@ -0,0 +1 @@ + \ No newline at end of file diff --git a/docs/images/snippets/offsetting/7fd3e895c0eea0965470dd619450b679.ascii b/docs/images/snippets/offsetting/7fd3e895c0eea0965470dd619450b679.ascii new file mode 100644 index 00000000..6f147621 --- /dev/null +++ b/docs/images/snippets/offsetting/7fd3e895c0eea0965470dd619450b679.ascii @@ -0,0 +1,5 @@ + + ┌─────────────────┐ + │ 2 2 +|| B'(t)|| = │B '(t) + B '(t) + ⟍│ x y diff --git a/docs/images/snippets/offsetting/e7e8e1f5727387079dbc5770181187c2.ascii b/docs/images/snippets/offsetting/e7e8e1f5727387079dbc5770181187c2.ascii new file mode 100644 index 00000000..eead0e4e --- /dev/null +++ b/docs/images/snippets/offsetting/e7e8e1f5727387079dbc5770181187c2.ascii @@ -0,0 +1,4 @@ + + ╭ B'(t) ╮ +N(t) = \bot │ ────────── │ + ╰ || B'(t)|| ╯ diff --git a/docs/index.html b/docs/index.html index cb0a533f..0b16bc14 100644 --- a/docs/index.html +++ b/docs/index.html @@ -38,7 +38,7 @@ - + @@ -8149,56 +8149,35 @@ O(t) = B(t) + d · N(t)

-

- Determining the length requires computing an arc length, and this is where things get Tricky with a capital T. First off, to compute arc - length from some start a to end b, we must use the formula we saw earlier. Noting that "length" is usually - denoted with double vertical bars: -

+

The magnitude of B'(t), usually denoted with double vertical bars, is given by the following formula:

- So if we want the length of the tangent, we plug in B'(t), with t = 0 as start and t = 1 as end: -

- - -

- And that's where things go wrong. It doesn't even really matter what the second derivative for B(t) is, that square root is - screwing everything up, because it turns our nice polynomials into things that are no longer polynomials. + And that's where things go wrong: that square root is screwing everything up, because it turns our nice polynomials into things that are + no longer polynomials.

There is a small class of polynomials where the square root is also a polynomial, but they're utterly useless to us: any polynomial with diff --git a/docs/ja-JP/index.html b/docs/ja-JP/index.html index 84543586..9910c928 100644 --- a/docs/ja-JP/index.html +++ b/docs/ja-JP/index.html @@ -41,7 +41,7 @@ - + @@ -8359,56 +8359,35 @@ O(t) = B(t) + d · N(t)

-

- Determining the length requires computing an arc length, and this is where things get Tricky with a capital T. First off, to compute arc - length from some start a to end b, we must use the formula we saw earlier. Noting that "length" is usually - denoted with double vertical bars: -

+

The magnitude of B'(t), usually denoted with double vertical bars, is given by the following formula:

- So if we want the length of the tangent, we plug in B'(t), with t = 0 as start and t = 1 as end: -

- - -

- And that's where things go wrong. It doesn't even really matter what the second derivative for B(t) is, that square root is - screwing everything up, because it turns our nice polynomials into things that are no longer polynomials. + And that's where things go wrong: that square root is screwing everything up, because it turns our nice polynomials into things that are + no longer polynomials.

There is a small class of polynomials where the square root is also a polynomial, but they're utterly useless to us: any polynomial with diff --git a/docs/ko-KR/index.html b/docs/ko-KR/index.html index b8023607..5ab7a494 100644 --- a/docs/ko-KR/index.html +++ b/docs/ko-KR/index.html @@ -43,7 +43,7 @@ - + @@ -8510,56 +8510,35 @@ O(t) = B(t) + d · N(t)

-

- Determining the length requires computing an arc length, and this is where things get Tricky with a capital T. First off, to compute arc - length from some start a to end b, we must use the formula we saw earlier. Noting that "length" is usually - denoted with double vertical bars: -

+

The magnitude of B'(t), usually denoted with double vertical bars, is given by the following formula:

- So if we want the length of the tangent, we plug in B'(t), with t = 0 as start and t = 1 as end: -

- - -

- And that's where things go wrong. It doesn't even really matter what the second derivative for B(t) is, that square root is - screwing everything up, because it turns our nice polynomials into things that are no longer polynomials. + And that's where things go wrong: that square root is screwing everything up, because it turns our nice polynomials into things that are + no longer polynomials.

There is a small class of polynomials where the square root is also a polynomial, but they're utterly useless to us: any polynomial with diff --git a/docs/news/2020-09-18.html b/docs/news/2020-09-18.html index c7a6ebf0..1d9610f1 100644 --- a/docs/news/2020-09-18.html +++ b/docs/news/2020-09-18.html @@ -34,7 +34,7 @@ - + diff --git a/docs/news/2020-11-22.html b/docs/news/2020-11-22.html index 3b5be1c2..0074ffdf 100644 --- a/docs/news/2020-11-22.html +++ b/docs/news/2020-11-22.html @@ -34,7 +34,7 @@ - + diff --git a/docs/news/index.html b/docs/news/index.html index 6f595f28..c15763a8 100644 --- a/docs/news/index.html +++ b/docs/news/index.html @@ -33,7 +33,7 @@ - + diff --git a/docs/news/rss.xml b/docs/news/rss.xml index 331aa43d..a7dec439 100644 --- a/docs/news/rss.xml +++ b/docs/news/rss.xml @@ -6,7 +6,7 @@ News updates for the primer on Bézier Curves by Pomax en-GB - Mon Jul 24 2023 16:25:38 +00:00 + Tue Aug 15 2023 15:28:19 +00:00 https://pomax.github.io/bezierinfo/images/og-image.png A Primer on Bézier Curves diff --git a/docs/ru-RU/index.html b/docs/ru-RU/index.html index cd0d93b6..8269a88b 100644 --- a/docs/ru-RU/index.html +++ b/docs/ru-RU/index.html @@ -34,7 +34,7 @@ - + @@ -8593,56 +8593,35 @@ O(t) = B(t) + d · N(t)

-

- Determining the length requires computing an arc length, and this is where things get Tricky with a capital T. First off, to compute arc - length from some start a to end b, we must use the formula we saw earlier. Noting that "length" is usually - denoted with double vertical bars: -

+

The magnitude of B'(t), usually denoted with double vertical bars, is given by the following formula:

- So if we want the length of the tangent, we plug in B'(t), with t = 0 as start and t = 1 as end: -

- - -

- And that's where things go wrong. It doesn't even really matter what the second derivative for B(t) is, that square root is - screwing everything up, because it turns our nice polynomials into things that are no longer polynomials. + And that's where things go wrong: that square root is screwing everything up, because it turns our nice polynomials into things that are + no longer polynomials.

There is a small class of polynomials where the square root is also a polynomial, but they're utterly useless to us: any polynomial with diff --git a/docs/uk-UA/index.html b/docs/uk-UA/index.html index ff4abae9..bf78b06d 100644 --- a/docs/uk-UA/index.html +++ b/docs/uk-UA/index.html @@ -39,7 +39,7 @@ - + @@ -8553,56 +8553,35 @@ O(t) = B(t) + d · N(t)

-

- Determining the length requires computing an arc length, and this is where things get Tricky with a capital T. First off, to compute arc - length from some start a to end b, we must use the formula we saw earlier. Noting that "length" is usually - denoted with double vertical bars: -

+

The magnitude of B'(t), usually denoted with double vertical bars, is given by the following formula:

- So if we want the length of the tangent, we plug in B'(t), with t = 0 as start and t = 1 as end: -

- - -

- And that's where things go wrong. It doesn't even really matter what the second derivative for B(t) is, that square root is - screwing everything up, because it turns our nice polynomials into things that are no longer polynomials. + And that's where things go wrong: that square root is screwing everything up, because it turns our nice polynomials into things that are + no longer polynomials.

There is a small class of polynomials where the square root is also a polynomial, but they're utterly useless to us: any polynomial with diff --git a/docs/zh-CN/index.html b/docs/zh-CN/index.html index 67e191a7..e4c30461 100644 --- a/docs/zh-CN/index.html +++ b/docs/zh-CN/index.html @@ -35,7 +35,7 @@ - + @@ -7872,56 +7872,35 @@ O(t) = B(t) + d · N(t)

-

- Determining the length requires computing an arc length, and this is where things get Tricky with a capital T. First off, to compute arc - length from some start a to end b, we must use the formula we saw earlier. Noting that "length" is usually - denoted with double vertical bars: -

+

The magnitude of B'(t), usually denoted with double vertical bars, is given by the following formula:

- So if we want the length of the tangent, we plug in B'(t), with t = 0 as start and t = 1 as end: -

- - -

- And that's where things go wrong. It doesn't even really matter what the second derivative for B(t) is, that square root is - screwing everything up, because it turns our nice polynomials into things that are no longer polynomials. + And that's where things go wrong: that square root is screwing everything up, because it turns our nice polynomials into things that are + no longer polynomials.

There is a small class of polynomials where the square root is also a polynomial, but they're utterly useless to us: any polynomial with