{"article":{"id":"britannica-11-trisectrix","work_id":"britannica-11","title":"Trisectrix","normalized_title":"trisectrix","slug":"trisectrix","aliases":[],"subtitle":"Internet Archive OCR import","body_text":"TRISECTRIX, a curve which is a variety of the limacon (q.v.) of Pascal, and named from its property of trisecting an angle. The polar equation is r=i + 2 cos 6 and the form of the curve is shown in the figure. To trisect an angle by means of this curve, ov describe a circle with centre O and radius OE, and let the given angle which is to be trisected be laid off from OE and cut the circle at S; let the chord ES cut the trisectrix in J. Then OJ trisects the given angle.","body_html":"<p>TRISECTRIX, a curve which is a variety of the limacon (q.v.) of Pascal, and named from its property of trisecting an angle. The polar equation is r=i + 2 cos 6 and the form of the curve is shown in the figure. To trisect an angle by means of this curve, ov describe a circle with centre O and radius OE, and let the given angle which is to be trisected be laid off from OE and cut the circle at S; let the chord ES cut the trisectrix in J. Then OJ trisects the given angle.</p>","volume_id":"britannica-11-v27","page_range_label":"Vol. 27, pp. 292-292","source_url":"https://archive.org/details/encyclopaediabri27chisrich/page/n313/mode/1up","text_source_url":"https://ia903207.us.archive.org/15/items/encyclopaediabri27chisrich/encyclopaediabri27chisrich_djvu.txt","scan_source_url":"https://archive.org/details/encyclopaediabri27chisrich","quality_status":"ocr-imported-page-aligned","parser_version":"ia-djvu-xml-v1","page_refs":[{"page_number":"292","label":"p. 292","image_url":"/source-assets/scans/britannica-11/encyclopaediabri27chisrich/encyclopaediabri27chisrich_0314.jpg","source_image_url":"https://archive.org/download/encyclopaediabri27chisrich/encyclopaediabri27chisrich_jp2.zip/encyclopaediabri27chisrich_jp2%2Fencyclopaediabri27chisrich_0314.jp2&ext=jpg","source_url":"https://archive.org/details/encyclopaediabri27chisrich/page/n313/mode/1up"}]},"work":{"id":"britannica-11","slug":"britannica-11","title":"Encyclopaedia Britannica","short_title":"Britannica 11th","edition":"11th edition","publisher":"Cambridge University Press","publication_start_year":1910,"publication_end_year":1911,"language":"English","country":"United Kingdom / United States","copyright_status_note":"First published before 1931; treated as public domain in the United States. Verify jurisdiction before redistribution outside the U.S.","source_quality":"mixed-clean-and-ocr","text_source_url":"https://en.wikisource.org/wiki/1911_Encyclop%C3%A6dia_Britannica","scan_source_url":"https://archive.org/details/encyclopaediabri","volumes":[{"id":"britannica-11-v1","volume_number":"1","title":"A to Androphagi","year":1910,"source_url":"https://archive.org/details/encyclopaediabri01chisrich","text_source_url":"https://en.wikisource.org/wiki/1911_Encyclop%C3%A6dia_Britannica","scan_source_url":"https://archive.org/details/encyclopaediabri01chisrich","page_count":1084},{"id":"britannica-11-v2","volume_number":"2","title":"Andros to Austria","year":1910,"source_url":"https://archive.org/details/encyclopaediabri02chisrich","text_source_url":"https://archive.org/download/encyclopaediabri02chisrich/encyclopaediabri02chisrich_djvu.txt","scan_source_url":"https://archive.org/details/encyclopaediabri02chisrich","page_count":null},{"id":"britannica-11-v9","volume_number":"9","title":"Edwardes to Evangelical Association","year":1910,"source_url":"https://archive.org/details/encyclopaediabrit09chisrich","text_source_url":"https://archive.org/download/encyclopaediabrit09chisrich/encyclopaediabrit09chisrich_djvu.txt","scan_source_url":"https://archive.org/details/encyclopaediabrit09chisrich","page_count":null},{"id":"britannica-11-v26","volume_number":"26","title":"Submarine Mines to Tom-Tom","year":1911,"source_url":"https://archive.org/details/encyclopaediabri26chisrich","text_source_url":"https://archive.org/download/encyclopaediabri26chisrich/encyclopaediabri26chisrich_djvu.txt","scan_source_url":"https://archive.org/details/encyclopaediabri26chisrich","page_count":null},{"id":"britannica-11-v27","volume_number":"27","title":"Tonality to Vesuvius","year":1911,"source_url":"https://archive.org/details/encyclopaediabri27chisrich","text_source_url":"https://ia903207.us.archive.org/15/items/encyclopaediabri27chisrich/encyclopaediabri27chisrich_djvu.txt","scan_source_url":"https://archive.org/details/encyclopaediabri27chisrich","page_count":null}]}}