chore: Add first target webpage and package to serve it
This commit is contained in:
parent
3a14bb1e89
commit
16f38e769e
@ -7,6 +7,7 @@
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build: 'civet --js -c src/*.civet -o obj/.js',
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build: 'civet --js -c src/*.civet -o obj/.js',
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start: 'node obj',
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start: 'node obj',
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go: 'pnpm --sequential "/build|start/"',
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go: 'pnpm --sequential "/build|start/"',
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serve: 'http-server',
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},
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},
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packageManager: 'pnpm',
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packageManager: 'pnpm',
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keywords: [
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keywords: [
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@ -22,5 +23,6 @@
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},
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},
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devDependencies: {
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devDependencies: {
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'@danielx/civet': '^0.6.26',
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'@danielx/civet': '^0.6.26',
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'http-server': '^14.1.1',
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},
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},
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}
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}
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268
pnpm-lock.yaml
268
pnpm-lock.yaml
@ -8,6 +8,9 @@ devDependencies:
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'@danielx/civet':
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'@danielx/civet':
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specifier: ^0.6.26
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specifier: ^0.6.26
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version: 0.6.26
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version: 0.6.26
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http-server:
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specifier: ^14.1.1
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version: 14.1.1
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packages:
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packages:
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@ -41,3 +44,268 @@ packages:
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'@jridgewell/resolve-uri': 3.1.1
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'@jridgewell/resolve-uri': 3.1.1
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'@jridgewell/sourcemap-codec': 1.4.15
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'@jridgewell/sourcemap-codec': 1.4.15
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dev: true
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dev: true
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/ansi-styles@4.3.0:
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engines: {node: '>=8'}
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dependencies:
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color-convert: 2.0.1
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dev: true
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dependencies:
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lodash: 4.17.21
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dev: true
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engines: {node: '>= 0.8'}
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dependencies:
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safe-buffer: 5.1.2
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dev: true
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dependencies:
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function-bind: 1.1.1
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get-intrinsic: 1.2.1
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dev: true
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engines: {node: '>=10'}
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dependencies:
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ansi-styles: 4.3.0
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supports-color: 7.2.0
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dev: true
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dependencies:
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color-name: 1.1.4
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dev: true
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dev: true
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peerDependencies:
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supports-color: '*'
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peerDependenciesMeta:
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supports-color:
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optional: true
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dependencies:
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ms: 2.1.3
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dev: true
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dev: true
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engines: {node: '>=4.0'}
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peerDependencies:
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debug: '*'
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peerDependenciesMeta:
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debug:
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optional: true
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dev: true
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dev: true
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dependencies:
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function-bind: 1.1.1
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has: 1.0.3
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has-proto: 1.0.1
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has-symbols: 1.0.3
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dev: true
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engines: {node: '>=8'}
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engines: {node: '>= 0.4'}
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dev: true
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engines: {node: '>= 0.4'}
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dev: true
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engines: {node: '>= 0.4.0'}
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dependencies:
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function-bind: 1.1.1
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dev: true
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/he@1.2.0:
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hasBin: true
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dev: true
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/html-encoding-sniffer@3.0.0:
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resolution: {integrity: sha512-oWv4T4yJ52iKrufjnyZPkrN0CH3QnrUqdB6In1g5Fe1mia8GmF36gnfNySxoZtxD5+NmYw1EElVXiBk93UeskA==}
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engines: {node: '>=12'}
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dependencies:
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whatwg-encoding: 2.0.0
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dev: true
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/http-proxy@1.18.1:
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engines: {node: '>=8.0.0'}
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dependencies:
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eventemitter3: 4.0.7
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follow-redirects: 1.15.2
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requires-port: 1.0.0
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transitivePeerDependencies:
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- debug
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dev: true
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/http-server@14.1.1:
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resolution: {integrity: sha512-+cbxadF40UXd9T01zUHgA+rlo2Bg1Srer4+B4NwIHdaGxAGGv59nYRnGGDJ9LBk7alpS0US+J+bLLdQOOkJq4A==}
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engines: {node: '>=12'}
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hasBin: true
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dependencies:
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basic-auth: 2.0.1
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chalk: 4.1.2
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corser: 2.0.1
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he: 1.2.0
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html-encoding-sniffer: 3.0.0
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http-proxy: 1.18.1
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mime: 1.6.0
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minimist: 1.2.8
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opener: 1.5.2
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portfinder: 1.0.32
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secure-compare: 3.0.1
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union: 0.5.0
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url-join: 4.0.1
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transitivePeerDependencies:
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- debug
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- supports-color
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dev: true
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dependencies:
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safer-buffer: 2.1.2
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hasBin: true
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dependencies:
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minimist: 1.2.8
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dependencies:
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async: 2.6.4
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debug: 3.2.7
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mkdirp: 0.5.6
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transitivePeerDependencies:
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dev: true
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dependencies:
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side-channel: 1.0.4
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dev: true
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dependencies:
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call-bind: 1.0.2
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get-intrinsic: 1.2.1
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object-inspect: 1.12.3
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dev: true
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engines: {node: '>=8'}
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dependencies:
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has-flag: 4.0.0
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dev: true
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/union@0.5.0:
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engines: {node: '>= 0.8.0'}
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dependencies:
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qs: 6.11.2
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dev: true
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/url-join@4.0.1:
|
||||||
|
resolution: {integrity: sha512-jk1+QP6ZJqyOiuEI9AEWQfju/nB2Pw466kbA0LEZljHwKeMgd9WrAEgEGxjPDD2+TNbbb37rTyhEfrCXfuKXnA==}
|
||||||
|
dev: true
|
||||||
|
|
||||||
|
/whatwg-encoding@2.0.0:
|
||||||
|
resolution: {integrity: sha512-p41ogyeMUrw3jWclHWTQg1k05DSVXPLcVxRTYsXUk+ZooOCZLcoYgPZ/HL/D/N+uQPOtcp1me1WhBEaX02mhWg==}
|
||||||
|
engines: {node: '>=12'}
|
||||||
|
dependencies:
|
||||||
|
iconv-lite: 0.6.3
|
||||||
|
dev: true
|
||||||
|
|||||||
135
public/inscribed-equilateral.html
Normal file
135
public/inscribed-equilateral.html
Normal file
@ -0,0 +1,135 @@
|
|||||||
|
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
|
||||||
|
<html>
|
||||||
|
<head>
|
||||||
|
<!-- fix buggy IE8, especially for mathjax -->
|
||||||
|
<meta http-equiv="X-UA-Compatible" content="IE=EmulateIE7">
|
||||||
|
|
||||||
|
<meta http-equiv="Content-Type" content="text/html; charset=utf-8">
|
||||||
|
<title>An equilateral triangle inscribed in a rectangle</title>
|
||||||
|
<link rel="stylesheet" type="text/css" media="screen" href="style.css">
|
||||||
|
|
||||||
|
<script type="text/javascript"
|
||||||
|
src="http://cdn.mathjax.org/mathjax/latest/MathJax.js?config=TeX-AMS-MML_HTMLorMML,http://userpages.umbc.edu/~rostamia/mathjax-config.js">
|
||||||
|
MathJax.Hub.Queue( function() {document.body.style.visibility="visible"} );
|
||||||
|
</script>
|
||||||
|
|
||||||
|
</head>
|
||||||
|
<body style="visibility:hidden">
|
||||||
|
|
||||||
|
<h1>An equilateral triangle inscribed in a rectangle</h1>
|
||||||
|
|
||||||
|
<table class="centered">
|
||||||
|
<tr><td align="center">
|
||||||
|
<applet code="Geometry" archive="Geometry.zip" width="410" height="370">
|
||||||
|
<param name="background" value="ffffff">
|
||||||
|
<param name="title" value="An equilateral triangle inscribed in a rectangle">
|
||||||
|
|
||||||
|
<!-- the moving mechanism -->
|
||||||
|
<param name="e[1]" value="O;point;fixed;290,320;0;0;0;0">
|
||||||
|
<param name="e[2]" value="U1;point;fixed;510,320;0;0;0;0">
|
||||||
|
<param name="e[3]" value="V1;point;perpendicular;O,U1;0;0;0;0">
|
||||||
|
<param name="e[4]" value="U;point;angleDivider;U1,O,V1,3;0;0;0;0">
|
||||||
|
<param name="e[5]" value="V;point;angleDivider;V1,O,U1,3;0;0;0;0">
|
||||||
|
<param name="e[6]" value="circ1;circle;radius;O,U;0;0;0;0">
|
||||||
|
<param name="e[7]" value="li1;line;parallel;U,O,U1;0;0;0;0">
|
||||||
|
<param name="e[8]" value="li2;line;parallel;V,O,V1;0;0;0;0">
|
||||||
|
<param name="e[9]" value="W;point;intersection;li1,li2;0;0;0;0">
|
||||||
|
<param name="e[10]" value="VW;line;connect;V,W;0;0;lightGray">
|
||||||
|
<param name="e[11]" value="@;point;lineSegmentSlider;V,W,0,220;red;red">
|
||||||
|
<param name="e[12]" value="li3;line;parallel;@,O,U1;0;0;0;0">
|
||||||
|
<param name="e[13]" value="li4;line;chord;circ1,li3;0;0;0;0">
|
||||||
|
<param name="e[14]" value="X1;point;first;li4;0;0;0;0">
|
||||||
|
|
||||||
|
<!-- the triangle -->
|
||||||
|
<param name="e[15]" value="A;point;fixed;50,320">
|
||||||
|
<param name="e[16]" value="V2;point;perpendicular;A,U1;0;0;0;0">
|
||||||
|
<param name="e[17]" value="li5;line;parallel;A,O,X1;0;0;0;0">
|
||||||
|
<param name="e[18]" value="X2;point;last;li5;0;0;0;0">
|
||||||
|
<param name="e[19]" value="X;point;extend;A,X2,A,X2;0;0;0;0">
|
||||||
|
|
||||||
|
<param name="e[20]" value="tri1;polygon;equilateralTriangle;X,A;0;0;0;0">
|
||||||
|
<param name="e[21]" value="Y;point;vertex;tri1,3;0;0;0;0">
|
||||||
|
<param name="e[22]" value="B;point;midpoint;X,Y">
|
||||||
|
<param name="e[23]" value="ABC;polygon;equilateralTriangle;A,B">
|
||||||
|
<param name="e[24]" value="C;point;vertex;ABC,3">
|
||||||
|
|
||||||
|
<!-- the rectangle -->
|
||||||
|
<param name="e[25]" value="D;point;foot;B,A,U1">
|
||||||
|
<param name="e[26]" value="F;point;foot;C,A,V2">
|
||||||
|
<param name="e[27]" value="FE;line;parallel;F,A,D;0;0;0;0">
|
||||||
|
<param name="e[28]" value="E;point;last;FE">
|
||||||
|
<param name="e[29]" value="rect;polygon;quadrilateral;A,D,E,F;0;0;black;0">
|
||||||
|
<param name="e[30]" value="ADB;polygon;triangle;A,D,B;0;0;0;pink">
|
||||||
|
<param name="e[31]" value="ACF;polygon;triangle;A,C,F;0;0;0;pink">
|
||||||
|
<param name="e[32]" value="BCE;polygon;triangle;B,C,E;0;0;0;cyan">
|
||||||
|
|
||||||
|
</applet>
|
||||||
|
</td></tr>
|
||||||
|
<tr><td>
|
||||||
|
<b>
|
||||||
|
Slide the “@” up and down to change the geometry.<br>
|
||||||
|
Press “r” to reset the diagram to its initial state.<br>
|
||||||
|
Proposition: The blue area equals the sum of the two pink areas.
|
||||||
|
</b>
|
||||||
|
</td></tr></table>
|
||||||
|
|
||||||
|
<h2>Problem statement</h2>
|
||||||
|
|
||||||
|
<p>
|
||||||
|
The diagram above shows an equilateral triangle inscribed in a rectangle
|
||||||
|
in such a way that the two have a vertex in common. This subdivides the
|
||||||
|
rectangle into four disjoint triangles.
|
||||||
|
The original equilateral triangle is shown in white
|
||||||
|
in the diagram; the other three are shown in color.
|
||||||
|
|
||||||
|
<p>
|
||||||
|
<b>Proposition</b>
|
||||||
|
<em>
|
||||||
|
The area of the blue triangle equals the sum
|
||||||
|
of the areas of the two pink triangles.
|
||||||
|
</em>
|
||||||
|
|
||||||
|
<p>
|
||||||
|
The trigonometric proof is quite straightforward. I don't
|
||||||
|
know of a classical proof <i>a la</i> <span class="name">Euclid</span>.
|
||||||
|
(Well, actually I haven't tried much.)
|
||||||
|
If you can think of a neat non-trigonometric proof, let me know. I will
|
||||||
|
put it here with due credit.
|
||||||
|
|
||||||
|
<p>
|
||||||
|
This problem appeared as a conjecture
|
||||||
|
<a href="http://mathforum.org/kb/thread.jspa?forumID=129&messageID=1083967">in an article</a>
|
||||||
|
in the <code>geometry.puzzles</code> newsgroup on March 15, 1997.
|
||||||
|
|
||||||
|
<p>
|
||||||
|
<b>Note added January 8, 2017:</b>
|
||||||
|
Here is a
|
||||||
|
<a href="inscribed-equilateral-solution.html">clever solution</a>
|
||||||
|
that <b>Peter Renz</b> sent me a in December 2016. Thanks, Peter!
|
||||||
|
|
||||||
|
<hr width="60%">
|
||||||
|
<p>
|
||||||
|
<em>This applet was created by
|
||||||
|
<a href="http://userpages.umbc.edu/~rostamia">Rouben Rostamian</a>
|
||||||
|
using
|
||||||
|
<a href="http://aleph0.clarku.edu/~djoyce/home.html">David Joyce</a>'s
|
||||||
|
<a href="http://aleph0.clarkU.edu/~djoyce/java/Geometry/Geometry.html">Geometry
|
||||||
|
Applet</a>
|
||||||
|
on July 2, 2010.
|
||||||
|
</em>
|
||||||
|
<p>
|
||||||
|
|
||||||
|
<table width="100%">
|
||||||
|
<tr>
|
||||||
|
<td valign="top">Go to <a href="index.html">Geometry Problems and Puzzles</a></td>
|
||||||
|
<td align="right" style="width:200px;">
|
||||||
|
<a href="http://validator.w3.org/check?uri=referer">
|
||||||
|
<img src="/~rostamia/images/valid-html401.png" class="noborder" width="88" height="31" alt="Valid HTML"></a>
|
||||||
|
<a href="http://jigsaw.w3.org/css-validator/check/referer">
|
||||||
|
<img src="/~rostamia/images/valid-css.png" class="noborder" width="88" height="31" alt="Valid CSS"></a>
|
||||||
|
</td></tr>
|
||||||
|
</table>
|
||||||
|
|
||||||
|
</body>
|
||||||
|
</html>
|
||||||
|
|
||||||
56
public/style.css
Normal file
56
public/style.css
Normal file
@ -0,0 +1,56 @@
|
|||||||
|
body {
|
||||||
|
/* margin:35px auto; */
|
||||||
|
/* width: 780px; */
|
||||||
|
margin-top: 35px;
|
||||||
|
margin-left: 10%;
|
||||||
|
margin-right: 10%;
|
||||||
|
margin-bottom: 30px;
|
||||||
|
line-height: 140%;
|
||||||
|
font-size: 110%;
|
||||||
|
/* font-family: Verdana, sans-serif; */
|
||||||
|
/* background: #ff8247; */
|
||||||
|
}
|
||||||
|
|
||||||
|
dt {
|
||||||
|
font-weight: bold;
|
||||||
|
}
|
||||||
|
|
||||||
|
dd {
|
||||||
|
margin-bottom: 2ex;
|
||||||
|
}
|
||||||
|
|
||||||
|
li {
|
||||||
|
margin-bottom: 1.0ex;
|
||||||
|
}
|
||||||
|
|
||||||
|
.smallersize {
|
||||||
|
font-size: smaller;
|
||||||
|
}
|
||||||
|
|
||||||
|
table.centered {
|
||||||
|
margin: auto;
|
||||||
|
}
|
||||||
|
|
||||||
|
p.centered {
|
||||||
|
text-align: center;
|
||||||
|
}
|
||||||
|
|
||||||
|
div.centered {
|
||||||
|
text-align: center;
|
||||||
|
}
|
||||||
|
|
||||||
|
span.name {
|
||||||
|
font-variant: small-caps;
|
||||||
|
}
|
||||||
|
|
||||||
|
img.noborder {
|
||||||
|
border-width: 0px;
|
||||||
|
}
|
||||||
|
|
||||||
|
div.highlight { background: yellow }
|
||||||
|
|
||||||
|
span.highlight { background: yellow; }
|
||||||
|
|
||||||
|
span.strike { text-decoration: line-through; }
|
||||||
|
span.uline { text-decoration: underline; }
|
||||||
|
|
||||||
Loading…
Reference in New Issue
Block a user