{"author":null,"backreferences":[{"context_html":"<p>On another principle, 120 is a triangular<a class=\"fnanchor pginternal\" href=\"#Footnote_1039\" id=\"FNanchor_1039\">[1039]</a> number, and consists of\r\nthe equality<a class=\"fnanchor pginternal\" href=\"#Footnote_1040\" id=\"FNanchor_1040\">[1040]</a> of the number 64, [which consists of<span class=\"pagenum\" id=\"Page_353\">[353]</span> eight of the\r\nodd numbers beginning with unity],<a class=\"fnanchor pginternal\" href=\"#Footnote_1041\" id=\"FNanchor_1041\">[1041]</a> the addition of which (1, 3,\r\n5, 7, 9, 11, 13, 15) in succession generates squares;<a class=\"fnanchor pginternal\" href=\"#Footnote_1042\" id=\"FNanchor_1042\">[1042]</a> and of the\r\ninequality of the number 56, consisting of seven of the even numbers\r\nbeginning with 2 (2, 4, 6, 8, 10, 12, 14), which produce the numbers\r\nthat are not squares.<a class=\"fnanchor pginternal\" href=\"#Footnote_1043\" id=\"FNanchor_1043\">[1043]</a></p>","headings":["THE WRITINGS OF CLEMENT OF ALEXANDRIA.","BOOK VI.","CHAPTER XI. THE MYSTICAL MEANINGS IN THE PROPORTIONS OF NUMBERS, GEOMETRICAL RATIOS, AND MUSIC."],"marker_anchor":"FNanchor_1042","paragraph_id":"pg73020-paragraph-757"}],"canonical_references":[],"date_end":null,"date_start":null,"deduplication_fingerprint":"3f659a5feafc39d767da8f076507e6d968b042bab3707827a532cae33ab9f813","edition_title":"The writings of Clement of Alexandria, Vol. 2 (of 2)","edition_translators":["William Wilson"],"edition_year":1869,"explicit_reference_candidates":[],"headings":[],"id":"pg73020-Footnote_1042","license_url":"https://www.gutenberg.org/policy/license.html","public_import_allowed":false,"record_kind":"original-editor-translator-note","review_required":["work and recension attribution","original-work chronology","Bible reference numbering and citation kind","English edition rights and attribution"],"review_status":"needs_review","rights_evidence":"Project Gutenberg metadata: Public domain in the USA. Existing 1869 English translation; translator died 1875. Electronic transcription subject to Project Gutenberg reuse terms.","source_anchor":"Footnote_1042","source_ebook":73020,"source_html":"<div class=\"footnote\">\n<p><a class=\"label pginternal\" href=\"#FNanchor_1042\" id=\"Footnote_1042\">[1042]</a> That is, 1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 = 120; and 1\r\n+ 3 = 4 + 5 = 9 + 7 = 16 + 9 = 25 + 11 = 36 + 13 = 49 + 15 = 64, giving\r\nus the numbers 4, 9, 16, 25, 36, 49, 64, the squares of 2, 3, 4, 5, 6,\r\n7, 8.</p>\n</div>","source_sha256":"c35077683d75abe553cc6ef5d3ef5a1a978f07dfbcf4bad5c3d56302ad03dc19","source_url":"https://www.gutenberg.org/cache/epub/73020/pg73020-images.html#Footnote_1042","text_sha256":"bff27cf786a879a2145736584527422485ad9333237ae8bfaab69973a7f6cd2b","verified":false,"work_id":null}