{"id":120226,"date":"2024-03-08T16:47:03","date_gmt":"2024-03-08T13:47:03","guid":{"rendered":"https:\/\/azbuki.bg\/?p=120226"},"modified":"2025-07-08T11:18:24","modified_gmt":"2025-07-08T08:18:24","slug":"an-approach-and-a-tool-for-euclidean-geometry","status":"publish","type":"post","link":"https:\/\/pedagogy.azbuki.bg\/en\/uncategorized\/an-approach-and-a-tool-for-euclidean-geometry\/","title":{"rendered":"An Approach and a Tool for Euclidean Geometry"},"content":{"rendered":"<p><strong>Boyko Bantchev<\/strong><br \/>\n<em>Institute of Mathematics and Informatics \u2014 Bulgarian Academy of Sciences<\/em><\/p>\n<p><a href=\"https:\/\/doi.org\/10.53656\/math2024-1-2-ana\" target=\"_blank\" rel=\"noopener\">https:\/\/doi.org\/10.53656\/math2024-1-2-ana<\/a><\/p>\n<p><strong>Abstract.<\/strong> Explorers, teachers, and students of geometry of all kinds are now used to applying computer programs in their work. Software of various<br \/>\nsorts is available for that. Geometry itself, though of venerable age, has proven to be open to new views and methods. After briefly surveying<br \/>\nthe known geometry software, we present a double novelty: a vector-based approach to doing geometry, and a respective program tool, aiding in geometric computing and construction, and suitable for producing high quality drawings.<br \/>\nKeywords: vector algebra, Euclidean geometry, geometry software<\/p>\n<p>&nbsp;<\/p>\n<a href=\"https:\/\/pedagogy.azbuki.bg\/en\/member-login\/\">Log in to read the full text<\/a>","protected":false},"excerpt":{"rendered":"<p>Boyko Bantchev Institute of Mathematics and Informatics \u2014 Bulgarian Academy of Sciences https:\/\/doi.org\/10.53656\/math2024-1-2-ana Abstract. Explorers, teachers, and students of geometry of all kinds are now used to applying computer programs in their work. Software of various sorts is available for that. Geometry itself, though of venerable age, has proven to be open to new views [&hellip;]<\/p>","protected":false},"author":124332423427287,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"jnews-multi-image_gallery":[],"jnews_single_post":{"source_name":"","source_url":"","via_name":"","via_url":"","override_template":"0","override":[{"template":"1","single_blog_custom":"","parallax":"1","fullscreen":"1","layout":"right-sidebar","sidebar":"default-sidebar","second_sidebar":"default-sidebar","sticky_sidebar":"1","share_position":"bottom","share_float_style":"share-monocrhome","show_share_counter":"1","show_view_counter":"1","show_featured":"0","show_post_meta":"1","show_post_author":"1","show_post_author_image":"1","show_post_date":"1","post_date_format":"custom","post_date_format_custom":"d-m-Y","show_post_category":"1","show_post_reading_time":"0","post_reading_time_wpm":"300","show_zoom_button":"1","zoom_button_out_step":"2","zoom_button_in_step":"3","show_post_tag":"1","show_prev_next_post":"1","show_popup_post":"1","number_popup_post":"3","show_author_box":"0","show_post_related":"0","show_inline_post_related":"0"}],"override_image_size":"0","image_override":[{"single_post_thumbnail_size":"crop-500","single_post_gallery_size":"crop-500"}],"trending_post":"0","trending_post_position":"meta","trending_post_label":"Trending","sponsored_post":"0","sponsored_post_label":"Sponsored by","sponsored_post_name":"","sponsored_post_url":"","sponsored_post_logo_enable":"0","sponsored_post_logo":"","sponsored_post_desc":"","disable_ad":"0"},"jnews_primary_category":{"id":"","hide":""}},"categories":[1],"tags":[5214,5215,5213],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.7 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>An Approach and a Tool for Euclidean Geometry - \u0410\u0437-\u0431\u0443\u043a\u0438<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/philosophy.azbuki.bg\/en\/uncategorized\/an-approach-and-a-tool-for-euclidean-geometry\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"An Approach and a Tool for Euclidean Geometry - \u0410\u0437-\u0431\u0443\u043a\u0438\" \/>\n<meta property=\"og:description\" content=\"Boyko Bantchev Institute of Mathematics and Informatics \u2014 Bulgarian Academy of Sciences https:\/\/doi.org\/10.53656\/math2024-1-2-ana Abstract. Explorers, teachers, and students of geometry of all kinds are now used to applying computer programs in their work. Software of various sorts is available for that. Geometry itself, though of venerable age, has proven to be open to new views [&hellip;]\" \/>\n<meta property=\"og:url\" content=\"https:\/\/philosophy.azbuki.bg\/en\/uncategorized\/an-approach-and-a-tool-for-euclidean-geometry\/\" \/>\n<meta property=\"og:site_name\" content=\"\u0410\u0437-\u0431\u0443\u043a\u0438\" \/>\n<meta property=\"article:publisher\" content=\"https:\/\/www.facebook.com\/Azbuki55\/\" \/>\n<meta property=\"article:published_time\" content=\"2024-03-08T13:47:03+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2025-07-08T08:18:24+00:00\" \/>\n<meta name=\"author\" content=\"\u201e\u0410\u0437-\u0431\u0443\u043a\u0438\u201c\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"\u201e\u0410\u0437-\u0431\u0443\u043a\u0438\u201c\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data2\" content=\"1 minute\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"https:\/\/philosophy.azbuki.bg\/en\/uncategorized\/an-approach-and-a-tool-for-euclidean-geometry\/#article\",\"isPartOf\":{\"@id\":\"https:\/\/philosophy.azbuki.bg\/en\/uncategorized\/an-approach-and-a-tool-for-euclidean-geometry\/\"},\"author\":{\"name\":\"\u201e\u0410\u0437-\u0431\u0443\u043a\u0438\u201c\",\"@id\":\"https:\/\/vocedu.azbuki.bg\/en\/#\/schema\/person\/de220d282eaa494f914ce0fd838645dd\"},\"headline\":\"An Approach and a Tool for Euclidean Geometry\",\"datePublished\":\"2024-03-08T13:47:03+00:00\",\"dateModified\":\"2025-07-08T08:18:24+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\/\/philosophy.azbuki.bg\/en\/uncategorized\/an-approach-and-a-tool-for-euclidean-geometry\/\"},\"wordCount\":141,\"publisher\":{\"@id\":\"https:\/\/vocedu.azbuki.bg\/en\/#organization\"},\"keywords\":[\"Euclidean geometry\",\"geometry software\",\"vector algebra\"],\"inLanguage\":\"en-US\"},{\"@type\":\"WebPage\",\"@id\":\"https:\/\/philosophy.azbuki.bg\/en\/uncategorized\/an-approach-and-a-tool-for-euclidean-geometry\/\",\"url\":\"https:\/\/philosophy.azbuki.bg\/en\/uncategorized\/an-approach-and-a-tool-for-euclidean-geometry\/\",\"name\":\"An Approach and a Tool for Euclidean Geometry - 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Geometry itself, though of venerable age, has proven to be open to new views [&hellip;]","og_url":"https:\/\/philosophy.azbuki.bg\/en\/uncategorized\/an-approach-and-a-tool-for-euclidean-geometry\/","og_site_name":"\u0410\u0437-\u0431\u0443\u043a\u0438","article_publisher":"https:\/\/www.facebook.com\/Azbuki55\/","article_published_time":"2024-03-08T13:47:03+00:00","article_modified_time":"2025-07-08T08:18:24+00:00","author":"\u201e\u0410\u0437-\u0431\u0443\u043a\u0438\u201c","twitter_card":"summary_large_image","twitter_misc":{"Written by":"\u201e\u0410\u0437-\u0431\u0443\u043a\u0438\u201c","Est. reading time":"1 minute"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"Article","@id":"https:\/\/philosophy.azbuki.bg\/en\/uncategorized\/an-approach-and-a-tool-for-euclidean-geometry\/#article","isPartOf":{"@id":"https:\/\/philosophy.azbuki.bg\/en\/uncategorized\/an-approach-and-a-tool-for-euclidean-geometry\/"},"author":{"name":"\u201e\u0410\u0437-\u0431\u0443\u043a\u0438\u201c","@id":"https:\/\/vocedu.azbuki.bg\/en\/#\/schema\/person\/de220d282eaa494f914ce0fd838645dd"},"headline":"An Approach and a Tool for Euclidean Geometry","datePublished":"2024-03-08T13:47:03+00:00","dateModified":"2025-07-08T08:18:24+00:00","mainEntityOfPage":{"@id":"https:\/\/philosophy.azbuki.bg\/en\/uncategorized\/an-approach-and-a-tool-for-euclidean-geometry\/"},"wordCount":141,"publisher":{"@id":"https:\/\/vocedu.azbuki.bg\/en\/#organization"},"keywords":["Euclidean geometry","geometry software","vector algebra"],"inLanguage":"en-US"},{"@type":"WebPage","@id":"https:\/\/philosophy.azbuki.bg\/en\/uncategorized\/an-approach-and-a-tool-for-euclidean-geometry\/","url":"https:\/\/philosophy.azbuki.bg\/en\/uncategorized\/an-approach-and-a-tool-for-euclidean-geometry\/","name":"An Approach and a Tool for Euclidean Geometry - 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