{"id":662,"date":"2018-06-30T19:33:40","date_gmt":"2018-06-30T19:33:40","guid":{"rendered":"http:\/\/jonvoisey.net\/blog\/?p=662"},"modified":"2022-09-25T12:59:25","modified_gmt":"2022-09-25T17:59:25","slug":"almagest-book-i-table-of-inclinations","status":"publish","type":"post","link":"https:\/\/jonvoisey.net\/blog\/2018\/06\/almagest-book-i-table-of-inclinations\/","title":{"rendered":"Almagest Book I: Table of Inclinations"},"content":{"rendered":"

In the last post, we derived a method to calculate the angle between the celestial equator and ecliptic and generalized it to be applicable for any angle. Here, I present the table derived from those calculations.<\/p>\n

<\/p>\n

 <\/p>\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n
Arc of the Ecliptic<\/td>\nArc of the Meridian<\/td>\n<\/tr>\n
1<\/td>\n0;24,16<\/td>\n<\/tr>\n
2<\/td>\n0;48,31<\/td>\n<\/tr>\n
3<\/td>\n1;12,46<\/td>\n<\/tr>\n
4<\/td>\n1;37,0<\/td>\n<\/tr>\n
5<\/td>\n2;1,12<\/td>\n<\/tr>\n
6<\/td>\n2;25,22<\/td>\n<\/tr>\n
7<\/td>\n2;49,30<\/td>\n<\/tr>\n
8<\/td>\n3;13,35<\/td>\n<\/tr>\n
9<\/td>\n3;37,37<\/td>\n<\/tr>\n
10<\/td>\n4;1,38<\/td>\n<\/tr>\n
11<\/td>\n4;25,32<\/td>\n<\/tr>\n
12<\/td>\n4;49,24<\/td>\n<\/tr>\n
13<\/td>\n5;13,11<\/td>\n<\/tr>\n
14<\/td>\n5;36,53<\/td>\n<\/tr>\n
15<\/td>\n6;0,31<\/td>\n<\/tr>\n
16<\/td>\n6;24,1<\/td>\n<\/tr>\n
17<\/td>\n6;47,26<\/td>\n<\/tr>\n
18<\/td>\n7;10,45<\/td>\n<\/tr>\n
19<\/td>\n7;33,57<\/td>\n<\/tr>\n
20<\/td>\n7;57,3<\/td>\n<\/tr>\n
21<\/td>\n8;20,0<\/td>\n<\/tr>\n
22<\/td>\n8;42,50<\/td>\n<\/tr>\n
23<\/td>\n9;5,32<\/td>\n<\/tr>\n
24<\/td>\n9;28,5<\/td>\n<\/tr>\n
25<\/td>\n9;50,29<\/td>\n<\/tr>\n
26<\/td>\n10;12,46<\/td>\n<\/tr>\n
27<\/td>\n10;34,57<\/td>\n<\/tr>\n
28<\/td>\n10;56,44<\/td>\n<\/tr>\n
29<\/td>\n11;18,25<\/td>\n<\/tr>\n
30<\/td>\n11;39,59<\/td>\n<\/tr>\n
31<\/td>\n12;1,20<\/td>\n<\/tr>\n
32<\/td>\n12;22,30<\/td>\n<\/tr>\n
33<\/td>\n12;43,28<\/td>\n<\/tr>\n
34<\/td>\n13;4,14<\/td>\n<\/tr>\n
35<\/td>\n13;24,47<\/td>\n<\/tr>\n
36<\/td>\n13;45,6<\/td>\n<\/tr>\n
37<\/td>\n14;5,11<\/td>\n<\/tr>\n
38<\/td>\n14;25,2<\/td>\n<\/tr>\n
39<\/td>\n14;44,39<\/td>\n<\/tr>\n
40<\/td>\n15;4,4<\/td>\n<\/tr>\n
41<\/td>\n15;23,10<\/td>\n<\/tr>\n
42<\/td>\n15;42,2<\/td>\n<\/tr>\n
43<\/td>\n16;0,38<\/td>\n<\/tr>\n
44<\/td>\n16;18,58<\/td>\n<\/tr>\n
45<\/td>\n16;37,1<\/td>\n<\/tr>\n
46<\/td>\n16;54,47<\/td>\n<\/tr>\n
47<\/td>\n17;12,16<\/td>\n<\/tr>\n
48<\/td>\n17;29,27<\/td>\n<\/tr>\n
49<\/td>\n17;46,20<\/td>\n<\/tr>\n
50<\/td>\n18;2,53<\/td>\n<\/tr>\n
51<\/td>\n18;19,15<\/td>\n<\/tr>\n
52<\/td>\n18;35,5<\/td>\n<\/tr>\n
53<\/td>\n18;50,41<\/td>\n<\/tr>\n
54<\/td>\n19;5,57<\/td>\n<\/tr>\n
55<\/td>\n19;20,56<\/td>\n<\/tr>\n
56<\/td>\n19;35,28<\/td>\n<\/tr>\n
57<\/td>\n19;49,42<\/td>\n<\/tr>\n
58<\/td>\n20;3,31<\/td>\n<\/tr>\n
59<\/td>\n20;17,4<\/td>\n<\/tr>\n
60<\/td>\n20;30,9<\/td>\n<\/tr>\n
61<\/td>\n20;42,58<\/td>\n<\/tr>\n
62<\/td>\n20;55,24<\/td>\n<\/tr>\n
63<\/td>\n21;7,21<\/td>\n<\/tr>\n
64<\/td>\n21;18,58<\/td>\n<\/tr>\n
65<\/td>\n21;30,11<\/td>\n<\/tr>\n
66<\/td>\n21;41,0<\/td>\n<\/tr>\n
67<\/td>\n21;51,25<\/td>\n<\/tr>\n
68<\/td>\n22;1,25<\/td>\n<\/tr>\n
69<\/td>\n22;11,1<\/td>\n<\/tr>\n
70<\/td>\n22;20,11<\/td>\n<\/tr>\n
71<\/td>\n22;28,57<\/td>\n<\/tr>\n
72<\/td>\n22;37,17<\/td>\n<\/tr>\n
73<\/td>\n22;45,11<\/td>\n<\/tr>\n
74<\/td>\n22;52,39<\/td>\n<\/tr>\n
75<\/td>\n22;59,41<\/td>\n<\/tr>\n
76<\/td>\n23;6,17<\/td>\n<\/tr>\n
77<\/td>\n23;12,27<\/td>\n<\/tr>\n
78<\/td>\n23;18,11<\/td>\n<\/tr>\n
79<\/td>\n23;23,28<\/td>\n<\/tr>\n
80<\/td>\n23;28,16<\/td>\n<\/tr>\n
81<\/td>\n23;32,30<\/td>\n<\/tr>\n
82<\/td>\n23;36,35<\/td>\n<\/tr>\n
83<\/td>\n23;40,2<\/td>\n<\/tr>\n
84<\/td>\n23;43,2<\/td>\n<\/tr>\n
85<\/td>\n23;45,34<\/td>\n<\/tr>\n
86<\/td>\n23;47,39<\/td>\n<\/tr>\n
87<\/td>\n23;49,16<\/td>\n<\/tr>\n
88<\/td>\n23;50,25<\/td>\n<\/tr>\n
89<\/td>\n23;51,6<\/td>\n<\/tr>\n
90<\/td>\n23;51,20<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

 <\/p>\n","protected":false},"excerpt":{"rendered":"

In the last post, we derived a method to calculate the angle between the celestial equator and ecliptic and generalized it to be applicable for any angle. Here, I present the table derived from those calculations.<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"jetpack_post_was_ever_published":false,"_jetpack_newsletter_access":"","_jetpack_dont_email_post_to_subs":false,"_jetpack_newsletter_tier_id":0,"_jetpack_memberships_contains_paywalled_content":false,"_jetpack_memberships_contains_paid_content":false,"footnotes":"","jetpack_publicize_message":"","jetpack_publicize_feature_enabled":true,"jetpack_social_post_already_shared":true,"jetpack_social_options":{"image_generator_settings":{"template":"highway","default_image_id":0,"font":"","enabled":false},"version":2}},"categories":[24],"tags":[25,36,37,35,28,14],"class_list":["post-662","post","type-post","status-publish","format-standard","hentry","category-almagest","tag-almagest","tag-celestial-equator","tag-celestial-sphere","tag-ecliptic","tag-geometry","tag-ptolemy"],"acf":[],"jetpack_publicize_connections":[],"jetpack_featured_media_url":"","jetpack_sharing_enabled":true,"jetpack_shortlink":"https:\/\/wp.me\/p9ZpvC-aG","_links":{"self":[{"href":"https:\/\/jonvoisey.net\/blog\/wp-json\/wp\/v2\/posts\/662","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/jonvoisey.net\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/jonvoisey.net\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/jonvoisey.net\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/jonvoisey.net\/blog\/wp-json\/wp\/v2\/comments?post=662"}],"version-history":[{"count":2,"href":"https:\/\/jonvoisey.net\/blog\/wp-json\/wp\/v2\/posts\/662\/revisions"}],"predecessor-version":[{"id":3444,"href":"https:\/\/jonvoisey.net\/blog\/wp-json\/wp\/v2\/posts\/662\/revisions\/3444"}],"wp:attachment":[{"href":"https:\/\/jonvoisey.net\/blog\/wp-json\/wp\/v2\/media?parent=662"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/jonvoisey.net\/blog\/wp-json\/wp\/v2\/categories?post=662"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/jonvoisey.net\/blog\/wp-json\/wp\/v2\/tags?post=662"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}