{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,3,31]],"date-time":"2022-03-31T18:02:05Z","timestamp":1648749725370},"reference-count":0,"publisher":"Walter de Gruyter GmbH","issue":"1","license":[{"start":{"date-parts":[[2016,3,1]],"date-time":"2016-03-01T00:00:00Z","timestamp":1456790400000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by-sa\/3.0"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2016,3,1]]},"abstract":"<jats:title>Summary<\/jats:title>\n               <jats:p> We introduce the altitudes of a triangle (the cevians perpendicular to the opposite sides). Using the generalized Ceva\u2019s Theorem, we prove the existence and uniqueness of the orthocenter of a triangle [7]. Finally, we formalize in Mizar [1] some formulas [2] to calculate distance using triangulation.<\/jats:p>","DOI":"10.1515\/forma-2016-0003","type":"journal-article","created":{"date-parts":[[2016,8,22]],"date-time":"2016-08-22T14:36:23Z","timestamp":1471876583000},"page":"27-36","source":"Crossref","is-referenced-by-count":0,"title":["Altitude, Orthocenter of a Triangle and Triangulation"],"prefix":"10.1515","volume":"24","author":[{"given":"Roland","family":"Coghetto","sequence":"first","affiliation":[{"name":"Rue de la Brasserie 5 7100 La Louvi\u00e8re, Belgium"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"374","published-online":{"date-parts":[[2016,8,31]]},"container-title":["Formalized Mathematics"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/content.sciendo.com\/view\/journals\/forma\/24\/1\/article-p27.xml","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.sciendo.com\/article\/10.1515\/forma-2016-0003","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,4,8]],"date-time":"2021-04-08T14:00:03Z","timestamp":1617890403000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.sciendo.com\/article\/10.1515\/forma-2016-0003"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2016,3,1]]},"references-count":0,"journal-issue":{"issue":"1","published-online":{"date-parts":[[2016,8,31]]},"published-print":{"date-parts":[[2016,3,1]]}},"alternative-id":["10.1515\/forma-2016-0003"],"URL":"https:\/\/doi.org\/10.1515\/forma-2016-0003","relation":{},"ISSN":["1898-9934"],"issn-type":[{"value":"1898-9934","type":"electronic"}],"subject":[],"published":{"date-parts":[[2016,3,1]]}}}