{"version":"1.0","provider_name":"Matem\u00e1ticas y sus fronteras","provider_url":"https:\/\/www.madrimasd.org\/blogs\/matematicas","author_name":"Matem\u00e1ticas y sus fronteras","author_url":"https:\/\/www.madrimasd.org\/blogs\/matematicas\/author\/matematicas","title":"Las matem\u00e1ticas de la luz: Her\u00f3n y Ptolomeo - Matem\u00e1ticas y sus fronteras","type":"rich","width":600,"height":338,"html":"<blockquote class=\"wp-embedded-content\" data-secret=\"7ppHgDKgzD\"><a href=\"https:\/\/www.madrimasd.org\/blogs\/matematicas\/2016\/04\/20\/140950\">Las matem\u00e1ticas de la luz: Her\u00f3n y Ptolomeo<\/a><\/blockquote><iframe sandbox=\"allow-scripts\" security=\"restricted\" src=\"https:\/\/www.madrimasd.org\/blogs\/matematicas\/2016\/04\/20\/140950\/embed#?secret=7ppHgDKgzD\" width=\"600\" height=\"338\" title=\"\u00abLas matem\u00e1ticas de la luz: Her\u00f3n y Ptolomeo\u00bb \u2014 Matem\u00e1ticas y sus fronteras\" data-secret=\"7ppHgDKgzD\" frameborder=\"0\" marginwidth=\"0\" marginheight=\"0\" scrolling=\"no\" class=\"wp-embedded-content\"><\/iframe><script>\n\/**\n * WordPress inline HTML embed\n *\n * @since 4.4.0\n * @output wp-includes\/js\/wp-embed.js\n *\n * This file cannot have ampersands in it. This is to ensure\n * it can be embedded in older versions of WordPress.\n * See https:\/\/core.trac.wordpress.org\/changeset\/35708.\n *\/\n(function ( window, document ) {\n\t'use strict';\n\n\tvar supportedBrowser = false,\n\t\tloaded = false;\n\n\t\tif ( document.querySelector ) {\n\t\t\tif ( window.addEventListener ) {\n\t\t\t\tsupportedBrowser = true;\n\t\t\t}\n\t\t}\n\n\t\/** @namespace wp *\/\n\twindow.wp = window.wp || {};\n\n\tif ( !! window.wp.receiveEmbedMessage ) {\n\t\treturn;\n\t}\n\n\t\/**\n\t * Receive embed message.\n\t *\n\t * @param {MessageEvent} e\n\t *\/\n\twindow.wp.receiveEmbedMessage = function( e ) {\n\t\tvar data = e.data;\n\n\t\tif ( ! data ) {\n\t\t\treturn;\n\t\t}\n\n\t\tif ( ! ( data.secret || data.message || data.value ) ) {\n\t\t\treturn;\n\t\t}\n\n\t\tif ( \/[^a-zA-Z0-9]\/.test( data.secret ) ) {\n\t\t\treturn;\n\t\t}\n\n\t\tvar iframes = document.querySelectorAll( 'iframe[data-secret=\"' + data.secret + '\"]' ),\n\t\t\tblockquotes = document.querySelectorAll( 'blockquote[data-secret=\"' + data.secret + '\"]' ),\n\t\t\tallowedProtocols = new RegExp( '^https?:$', 'i' ),\n\t\t\ti, source, height, sourceURL, targetURL;\n\n\t\tfor ( i = 0; i < blockquotes.length; i++ ) {\n\t\t\tblockquotes[ i ].style.display = 'none';\n\t\t}\n\n\t\tfor ( i = 0; i < iframes.length; i++ ) {\n\t\t\tsource = iframes[ i ];\n\n\t\t\tif ( e.source !== source.contentWindow ) {\n\t\t\t\tcontinue;\n\t\t\t}\n\n\t\t\tsource.removeAttribute( 'style' );\n\n\t\t\t\/* Resize the iframe on request. *\/\n\t\t\tif ( 'height' === data.message ) {\n\t\t\t\theight = parseInt( data.value, 10 );\n\t\t\t\tif ( height > 1000 ) {\n\t\t\t\t\theight = 1000;\n\t\t\t\t} else if ( ~~height < 200 ) {\n\t\t\t\t\theight = 200;\n\t\t\t\t}\n\n\t\t\t\tsource.height = height;\n\t\t\t}\n\n\t\t\t\/* Link to a specific URL on request. *\/\n\t\t\tif ( 'link' === data.message ) {\n\t\t\t\tsourceURL = document.createElement( 'a' );\n\t\t\t\ttargetURL = document.createElement( 'a' );\n\n\t\t\t\tsourceURL.href = source.getAttribute( 'src' );\n\t\t\t\ttargetURL.href = data.value;\n\n\t\t\t\t\/* Only follow link if the protocol is in the allow list. *\/\n\t\t\t\tif ( ! allowedProtocols.test( targetURL.protocol ) ) {\n\t\t\t\t\tcontinue;\n\t\t\t\t}\n\n\t\t\t\t\/* Only continue if link hostname matches iframe's hostname. *\/\n\t\t\t\tif ( targetURL.host === sourceURL.host ) {\n\t\t\t\t\tif ( document.activeElement === source ) {\n\t\t\t\t\t\twindow.top.location.href = data.value;\n\t\t\t\t\t}\n\t\t\t\t}\n\t\t\t}\n\t\t}\n\t};\n\n\tfunction onLoad() {\n\t\tif ( loaded ) {\n\t\t\treturn;\n\t\t}\n\n\t\tloaded = true;\n\n\t\tvar isIE10 = -1 !== navigator.appVersion.indexOf( 'MSIE 10' ),\n\t\t\tisIE11 = !!navigator.userAgent.match( \/Trident.*rv:11\\.\/ ),\n\t\t\tiframes = document.querySelectorAll( 'iframe.wp-embedded-content' ),\n\t\t\tiframeClone, i, source, secret;\n\n\t\tfor ( i = 0; i < iframes.length; i++ ) {\n\t\t\t\/** @var {IframeElement} *\/\n\t\t\tsource = iframes[ i ];\n\n\t\t\tsecret = source.getAttribute( 'data-secret' );\n\t\t\tif ( ! secret ) {\n\t\t\t\t\/* Add secret to iframe *\/\n\t\t\t\tsecret = Math.random().toString( 36 ).substr( 2, 10 );\n\t\t\t\tsource.src += '#?secret=' + secret;\n\t\t\t\tsource.setAttribute( 'data-secret', secret );\n\t\t\t}\n\n\t\t\t\/* Remove security attribute from iframes in IE10 and IE11. *\/\n\t\t\tif ( ( isIE10 || isIE11 ) ) {\n\t\t\t\tiframeClone = source.cloneNode( true );\n\t\t\t\tiframeClone.removeAttribute( 'security' );\n\t\t\t\tsource.parentNode.replaceChild( iframeClone, source );\n\t\t\t}\n\n\t\t\t\/*\n\t\t\t * Let post embed window know that the parent is ready for receiving the height message, in case the iframe\n\t\t\t * loaded before wp-embed.js was loaded. When the ready message is received by the post embed window, the\n\t\t\t * window will then (re-)send the height message right away.\n\t\t\t *\/\n\t\t\tsource.contentWindow.postMessage( {\n\t\t\t\tmessage: 'ready',\n\t\t\t\tsecret: secret\n\t\t\t}, '*' );\n\t\t}\n\t}\n\n\tif ( supportedBrowser ) {\n\t\twindow.addEventListener( 'message', window.wp.receiveEmbedMessage, false );\n\t\tdocument.addEventListener( 'DOMContentLoaded', onLoad, false );\n\t\twindow.addEventListener( 'load', onLoad, false );\n\t}\n})( window, document );\n<\/script>\n","description":"En esta entrada de la serie \u00abMatem\u00e1ticas de la luz\u00bb se repasan las contribuciones de dos grandes matem\u00e1ticos al estudio de la luz: Her\u00f3n y Ptolomeo. Al primero se le atribuye el principio de que la luz viaja siguiendo el camino geom\u00e9tricamente m\u00e1s corto, dentro de un mismo medio de propagaci\u00f3n. Ptolomeo, por su lado, estudi\u00f3 la refracci\u00f3n y la reflexi\u00f3n, de manera experimental. Firma el texto Manuel de Le\u00f3n (ICMAT-CSIC). Her\u00f3n naci\u00f3 en la ciudad de Alejandr\u00eda, en el a\u00f1o 10. Falleci\u00f3 en el a\u00f1o 70. Heron es un personaje muy singular, al que se le atribuyen inventos como\u2026","thumbnail_url":"http:\/\/www.madrimasd.org\/blogs\/matematicas\/files\/2016\/04\/Hero_of_Alexandria-213x300.png"}