diff --git a/docs/index.html b/docs/index.html index fbfee7a9..0e6152ce 100644 --- a/docs/index.html +++ b/docs/index.html @@ -38,7 +38,7 @@ - + @@ -6145,11 +6145,12 @@ lli = function(line1, line2): -->

- So: if we have a curve's start and end points, then for any t value we implicitly know all the ABC values, which (combined - with an educated guess on appropriate e1 and e2 coordinates for cubic curves) gives us the necessary information - to reconstruct a curve's "de Casteljau skeleton". Which means that we can now do several things: we can "fit" curves using only three - points, which means we can also "mold" curves by moving an on-curve point but leaving its start and end points, and then reconstruct the - curve based on where we moved the on-curve point to. These are very useful things, and we'll look at both in the next few sections. + So: if we have a curve's start and end points, as well as some third point B that we want the curve to pass through, then for any + t value we implicitly know all the ABC values, which (combined with an educated guess on appropriate e1 and + e2 coordinates for cubic curves) gives us the necessary information to reconstruct a curve's "de Casteljau skeleton". Which + means that we can now do several things: we can "fit" curves using only three points, which means we can also "mold" curves by moving an + on-curve point but leaving its start and end points, and then reconstruct the curve based on where we moved the on-curve point to. These + are very useful things, and we'll look at both in the next few sections.

diff --git a/docs/ja-JP/index.html b/docs/ja-JP/index.html index 87843ac9..03869de1 100644 --- a/docs/ja-JP/index.html +++ b/docs/ja-JP/index.html @@ -41,7 +41,7 @@ - + @@ -6266,11 +6266,12 @@ lli = function(line1, line2): -->

- So: if we have a curve's start and end points, then for any t value we implicitly know all the ABC values, which (combined - with an educated guess on appropriate e1 and e2 coordinates for cubic curves) gives us the necessary information - to reconstruct a curve's "de Casteljau skeleton". Which means that we can now do several things: we can "fit" curves using only three - points, which means we can also "mold" curves by moving an on-curve point but leaving its start and end points, and then reconstruct the - curve based on where we moved the on-curve point to. These are very useful things, and we'll look at both in the next few sections. + So: if we have a curve's start and end points, as well as some third point B that we want the curve to pass through, then for any + t value we implicitly know all the ABC values, which (combined with an educated guess on appropriate e1 and + e2 coordinates for cubic curves) gives us the necessary information to reconstruct a curve's "de Casteljau skeleton". Which + means that we can now do several things: we can "fit" curves using only three points, which means we can also "mold" curves by moving an + on-curve point but leaving its start and end points, and then reconstruct the curve based on where we moved the on-curve point to. These + are very useful things, and we'll look at both in the next few sections.

diff --git a/docs/news/2020-09-18.html b/docs/news/2020-09-18.html index b34f8cf5..0811e5d9 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 71af83d4..6c0b763f 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 aa504b28..71d923b2 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 04fad537..e8eb2219 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 - Sat Sep 04 2021 16:51:17 +00:00 + Sat Sep 04 2021 16:56:44 +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 e4cc3421..dfb2896a 100644 --- a/docs/ru-RU/index.html +++ b/docs/ru-RU/index.html @@ -34,7 +34,7 @@ - + @@ -6478,11 +6478,12 @@ lli = function(line1, line2): -->

- So: if we have a curve's start and end points, then for any t value we implicitly know all the ABC values, which (combined - with an educated guess on appropriate e1 and e2 coordinates for cubic curves) gives us the necessary information - to reconstruct a curve's "de Casteljau skeleton". Which means that we can now do several things: we can "fit" curves using only three - points, which means we can also "mold" curves by moving an on-curve point but leaving its start and end points, and then reconstruct the - curve based on where we moved the on-curve point to. These are very useful things, and we'll look at both in the next few sections. + So: if we have a curve's start and end points, as well as some third point B that we want the curve to pass through, then for any + t value we implicitly know all the ABC values, which (combined with an educated guess on appropriate e1 and + e2 coordinates for cubic curves) gives us the necessary information to reconstruct a curve's "de Casteljau skeleton". Which + means that we can now do several things: we can "fit" curves using only three points, which means we can also "mold" curves by moving an + on-curve point but leaving its start and end points, and then reconstruct the curve based on where we moved the on-curve point to. These + are very useful things, and we'll look at both in the next few sections.

diff --git a/docs/uk-UA/index.html b/docs/uk-UA/index.html index c7f3a2f2..dcb0b0ed 100644 --- a/docs/uk-UA/index.html +++ b/docs/uk-UA/index.html @@ -39,7 +39,7 @@ - + @@ -6451,11 +6451,12 @@ lli = function(line1, line2): -->

- So: if we have a curve's start and end points, then for any t value we implicitly know all the ABC values, which (combined - with an educated guess on appropriate e1 and e2 coordinates for cubic curves) gives us the necessary information - to reconstruct a curve's "de Casteljau skeleton". Which means that we can now do several things: we can "fit" curves using only three - points, which means we can also "mold" curves by moving an on-curve point but leaving its start and end points, and then reconstruct the - curve based on where we moved the on-curve point to. These are very useful things, and we'll look at both in the next few sections. + So: if we have a curve's start and end points, as well as some third point B that we want the curve to pass through, then for any + t value we implicitly know all the ABC values, which (combined with an educated guess on appropriate e1 and + e2 coordinates for cubic curves) gives us the necessary information to reconstruct a curve's "de Casteljau skeleton". Which + means that we can now do several things: we can "fit" curves using only three points, which means we can also "mold" curves by moving an + on-curve point but leaving its start and end points, and then reconstruct the curve based on where we moved the on-curve point to. These + are very useful things, and we'll look at both in the next few sections.

diff --git a/docs/zh-CN/index.html b/docs/zh-CN/index.html index 16dcc1e3..40a013b8 100644 --- a/docs/zh-CN/index.html +++ b/docs/zh-CN/index.html @@ -41,7 +41,7 @@ - + @@ -6242,11 +6242,12 @@ lli = function(line1, line2): -->

- So: if we have a curve's start and end points, then for any t value we implicitly know all the ABC values, which (combined - with an educated guess on appropriate e1 and e2 coordinates for cubic curves) gives us the necessary information - to reconstruct a curve's "de Casteljau skeleton". Which means that we can now do several things: we can "fit" curves using only three - points, which means we can also "mold" curves by moving an on-curve point but leaving its start and end points, and then reconstruct the - curve based on where we moved the on-curve point to. These are very useful things, and we'll look at both in the next few sections. + So: if we have a curve's start and end points, as well as some third point B that we want the curve to pass through, then for any + t value we implicitly know all the ABC values, which (combined with an educated guess on appropriate e1 and + e2 coordinates for cubic curves) gives us the necessary information to reconstruct a curve's "de Casteljau skeleton". Which + means that we can now do several things: we can "fit" curves using only three points, which means we can also "mold" curves by moving an + on-curve point but leaving its start and end points, and then reconstruct the curve based on where we moved the on-curve point to. These + are very useful things, and we'll look at both in the next few sections.