{"id":1790,"date":"2023-10-17T00:47:05","date_gmt":"2023-10-17T00:47:05","guid":{"rendered":"https:\/\/bolyai200.temesvaros.ro\/?page_id=1790"},"modified":"2023-10-17T01:15:39","modified_gmt":"2023-10-17T01:15:39","slug":"dr-jenkovszky-laszlo","status":"publish","type":"page","link":"https:\/\/bolyai200.temesvaros.ro\/en\/dr-jenkovszky-laszlo\/","title":{"rendered":"Dr. Jenkovszky L\u00e1szl\u00f3"},"content":{"rendered":"\t\t<div data-elementor-type=\"wp-page\" data-elementor-id=\"1790\" class=\"elementor elementor-1790\" data-elementor-post-type=\"page\">\n\t\t\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-d711d2a elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"d711d2a\" data-element_type=\"section\" data-settings=\"{&quot;background_background&quot;:&quot;classic&quot;}\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-98d0366\" data-id=\"98d0366\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-496ab32 elementor-widget elementor-widget-heading\" data-id=\"496ab32\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">Dr. Jenkovszky L\u00e1szl\u00f3<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-1604545 elementor-section-full_width elementor-section-height-default elementor-section-height-default\" data-id=\"1604545\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-no\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-50 elementor-top-column elementor-element elementor-element-4a6b9473\" data-id=\"4a6b9473\" data-element_type=\"column\" data-settings=\"{&quot;background_background&quot;:&quot;classic&quot;}\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-e4f350a elementor-widget elementor-widget-image\" data-id=\"e4f350a\" data-element_type=\"widget\" data-widget_type=\"image.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<img fetchpriority=\"high\" decoding=\"async\" width=\"200\" height=\"265\" src=\"https:\/\/bolyai200.temesvaros.ro\/wp-content\/uploads\/2023\/10\/09-Jenkovszky.jpg\" class=\"attachment-large size-large wp-image-1768\" alt=\"\" \/>\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-50 elementor-top-column elementor-element elementor-element-56bc6187\" data-id=\"56bc6187\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<section class=\"elementor-section elementor-inner-section elementor-element elementor-element-4a742f27 elementor-section-full_width elementor-section-content-middle elementor-section-height-default elementor-section-height-default\" data-id=\"4a742f27\" data-element_type=\"section\" data-settings=\"{&quot;background_background&quot;:&quot;classic&quot;}\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-no\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-inner-column elementor-element elementor-element-3409769d\" data-id=\"3409769d\" data-element_type=\"column\" data-settings=\"{&quot;background_background&quot;:&quot;classic&quot;}\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-a86589c elementor-widget elementor-widget-text-editor\" data-id=\"a86589c\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p>Dr. Jenkovszky L\u00e1szl\u00f3, <span>Kiev Institute of Theoretical Physics:<br \/><strong>Memoir of Bolyai, Gauss and Lobacsevskij<\/strong><\/span><\/p><p><span>Predecessors: Nearly 2300 years ago, the Greek mathematician Euclid of Alexandria laid down the basis of the geometry now known from the textbooks and used in everyday life. It was based on a number of postulates and axioms. Almost all of them were generally accepted either as obvious, or as necessary for logical consistency. A notable exception was the fifth postulate: if a straight line crosses two other straight lines, forming internal angles that equate to less than 2\u03c0 radians, then these two lines\u2014if continued infinitely \u2014 must cross somewhere on the plane where the lines and angles are located.<\/span><\/p><p><span>The fifth postulate has been something of an embarrassment ever since Euclidean geometry was first formulated. However, it became a dogma \u2014 part of European culture, supported by authorities such as Isaac Newton, Leonardo da Vinci, Galileo Galilei, Johann Kepler, Joseph-Louis (Giuseppe Luigi) Lagrange and Emmanuel Kant, among others.<\/span><\/p><p><span>It was only in the first half of the 19th century that three great men\u2014Janos Bolyai, Carl Friedrich Gauss and Nikolai Lobachevsky, abbreviated in alphabetical order as BGL throughout the rest of this article\u2014independently, but almost simultaneously, succeeded in generalising Euclid\u2019s vision. <\/span><\/p><p><span>The presentation explores this journey also mentioning other notable scientist who came very close to reaching similar conclusions as BGL did: an Italian monk named Girolamo Saccheri around 1697 and Ferdinand Karl Schweikart between 1807 and 1816.<\/span><\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<\/div>\n\t\t","protected":false},"excerpt":{"rendered":"<p>Dr. Jenkovszky L\u00e1szl\u00f3 Dr. Jenkovszky L\u00e1szl\u00f3, Kiev Institute of Theoretical Physics: Memoir of Bolyai, Gauss and Lobacsevskij Predecessors: Nearly 2300 years ago, the Greek mathematician Euclid of Alexandria laid down the basis of the geometry now known from the textbooks and used in everyday life. It was based on a number of postulates and axioms. 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