{"id":1180,"date":"2018-12-27T19:30:50","date_gmt":"2018-12-28T01:30:50","guid":{"rendered":"http:\/\/jonvoisey.net\/blog\/?p=1180"},"modified":"2023-04-22T15:18:58","modified_gmt":"2023-04-22T20:18:58","slug":"rising-time-of-the-ecliptic-tables","status":"publish","type":"post","link":"https:\/\/jonvoisey.net\/blog\/2018\/12\/rising-time-of-the-ecliptic-tables\/","title":{"rendered":"Almagest Book II: Rising Time of the Ecliptic Tables"},"content":{"rendered":"

Over the past several posts we have worked towards an understanding of the rising times of arcs of the ecliptic at various latitudes. With this work complete, Ptolemy presents a table of these rising times in 10\u00ba intervals for select latitudes.<\/p>\n

Due to the overall size of the table, I am breaking this up (as it was done in the translation I’m using) into four separate tables. Across the top, we have the latitude given as an example location. Beneath it, the length of the longest day as well as the latitude.<\/p>\n

Each locale is broken into two columns. The first is the time-degrees for each 10\u00ba segment of the ecliptic to rise, followed by the accumulated sum (in other words, how much it would take for the arc from the vernal equinox to that point to rise in time-degrees). This can be thought of as the amount of the celestial equator that would rise with the corresponding portion of the ecliptic.<\/p>\n

Part 1<\/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
Sign<\/strong><\/td>\n10\u00ba<\/strong><\/td>\nSphaera Recta<\/strong><\/em><\/td>\nAvalite Gulf<\/strong><\/td>\nMeroe<\/strong><\/td>\n<\/tr>\n
$12h$<\/td>\n0\u00ba<\/td>\n$12 \\frac{1}{2}h$<\/td>\n8;25\u00ba<\/td>\n$13h$<\/td>\n16;27\u00ba<\/td>\n<\/tr>\n
\u00ba<\/strong><\/td>\nAcc<\/strong><\/td>\n\u00ba<\/strong><\/td>\nAcc<\/strong><\/td>\n\u00ba<\/strong><\/td>\nAcc<\/strong><\/td>\n<\/tr>\n
Aries<\/strong><\/td>\n10\u00ba<\/td>\n9;10<\/td>\n9;10<\/td>\n8;35<\/td>\n8;35<\/td>\n7;58<\/td>\n7;58<\/td>\n<\/tr>\n
20\u00ba<\/td>\n9;15<\/td>\n18;25<\/td>\n8;39<\/td>\n17;14<\/td>\n8;5<\/td>\n16;3<\/td>\n<\/tr>\n
30\u00ba<\/td>\n9;25<\/td>\n27;50<\/td>\n8;52<\/td>\n26;6<\/td>\n8;17<\/td>\n24;20<\/td>\n<\/tr>\n
Taurus<\/strong><\/td>\n10\u00ba<\/td>\n9;40<\/td>\n37;30<\/td>\n9;8<\/td>\n35;14<\/td>\n8;36<\/td>\n32;56<\/td>\n<\/tr>\n
20\u00ba<\/td>\n9;58<\/td>\n47;28<\/td>\n9;29<\/td>\n44;43<\/td>\n9;1<\/td>\n41;57<\/td>\n<\/tr>\n
30\u00ba<\/td>\n10;16<\/td>\n57;44<\/td>\n9;51<\/td>\n54;34<\/td>\n9;27<\/td>\n51;24<\/td>\n<\/tr>\n
Gemini<\/strong><\/td>\n10\u00ba<\/td>\n10;34<\/td>\n68;18<\/td>\n10;15<\/td>\n64;49<\/td>\n9;56<\/td>\n61;20<\/td>\n<\/tr>\n
20\u00ba<\/td>\n10;47<\/td>\n79;5<\/td>\n10;35<\/td>\n75;24<\/td>\n10;23<\/td>\n71;43<\/td>\n<\/tr>\n
30\u00ba<\/td>\n10;55<\/td>\n90;0<\/td>\n10;51<\/td>\n86;15<\/td>\n10;47<\/td>\n82;30<\/td>\n<\/tr>\n
Cancer<\/strong><\/td>\n10\u00ba<\/td>\n10;55<\/td>\n100;55<\/td>\n10;59<\/td>\n97;14<\/td>\n11;3<\/td>\n93;33<\/td>\n<\/tr>\n
20\u00ba<\/td>\n10;47<\/td>\n111;42<\/td>\n10;59<\/td>\n108;13<\/td>\n11;11<\/td>\n104;44<\/td>\n<\/tr>\n
30\u00ba<\/td>\n10;34<\/td>\n122;16<\/td>\n10;53<\/td>\n119;6<\/td>\n11;12<\/td>\n115;56<\/td>\n<\/tr>\n
Leo<\/strong><\/td>\n10\u00ba<\/td>\n10;16<\/td>\n132;32<\/td>\n10;41<\/td>\n129;47<\/td>\n11;5<\/td>\n127;1<\/td>\n<\/tr>\n
20\u00ba<\/td>\n9;58<\/td>\n142;30<\/td>\n10;27<\/td>\n140;14<\/td>\n10;55<\/td>\n137;56<\/td>\n<\/tr>\n
30\u00ba<\/td>\n9;40<\/td>\n125;10<\/td>\n10;12<\/td>\n150;26<\/td>\n10;44<\/td>\n148;40<\/td>\n<\/tr>\n
Virgo<\/strong><\/td>\n10\u00ba<\/td>\n9;25<\/td>\n161;35<\/td>\n9;58<\/td>\n160;24<\/td>\n10;33<\/td>\n159;13<\/td>\n<\/tr>\n
20\u00ba<\/td>\n9;15<\/td>\n170;50<\/td>\n9;51<\/td>\n170;15<\/td>\n10;25<\/td>\n169;38<\/td>\n<\/tr>\n
30\u00ba<\/td>\n9;10<\/td>\n180;0<\/td>\n9;45<\/td>\n180;0<\/td>\n10;22<\/td>\n180;0<\/td>\n<\/tr>\n
Libra<\/strong><\/td>\n10\u00ba<\/td>\n9;10<\/td>\n189;10<\/td>\n9;45<\/td>\n189;45<\/td>\n10;22<\/td>\n190;22<\/td>\n<\/tr>\n
20\u00ba<\/td>\n9;15<\/td>\n198;25<\/td>\n9;51<\/td>\n199;36<\/td>\n10;25<\/td>\n200;47<\/td>\n<\/tr>\n
30\u00ba<\/td>\n9;25<\/td>\n207;50<\/td>\n9;58<\/td>\n209;34<\/td>\n10;33<\/td>\n211;20<\/td>\n<\/tr>\n
Scorpius<\/strong><\/td>\n10\u00ba<\/td>\n9;40<\/td>\n217;30<\/td>\n10;12<\/td>\n219;46<\/td>\n10;44<\/td>\n222;4<\/td>\n<\/tr>\n
20\u00ba<\/td>\n9;58<\/td>\n227;28<\/td>\n10;27<\/td>\n230;13<\/td>\n10;55<\/td>\n232;59<\/td>\n<\/tr>\n
30\u00ba<\/td>\n10;16<\/td>\n237;44<\/td>\n10;41<\/td>\n240;54<\/td>\n11;5<\/td>\n244;4<\/td>\n<\/tr>\n
Sagittarius<\/strong><\/td>\n10\u00ba<\/td>\n10;34<\/td>\n248;18<\/td>\n10;53<\/td>\n251;47<\/td>\n11;12<\/td>\n255;16<\/td>\n<\/tr>\n
20\u00ba<\/td>\n10;47<\/td>\n259;5<\/td>\n10;59<\/td>\n262;46<\/td>\n11;11<\/td>\n266;27<\/td>\n<\/tr>\n
30\u00ba<\/td>\n10;55<\/td>\n270;0<\/td>\n10;59<\/td>\n273;45<\/td>\n11;3<\/td>\n277;30<\/td>\n<\/tr>\n
Capricornus<\/strong><\/td>\n10\u00ba<\/td>\n10;55<\/td>\n280;55<\/td>\n10;51<\/td>\n284;36<\/td>\n10;47<\/td>\n288;17<\/td>\n<\/tr>\n
20\u00ba<\/td>\n10;47<\/td>\n291;42<\/td>\n10;35<\/td>\n295;11<\/td>\n10;23<\/td>\n298;40<\/td>\n<\/tr>\n
30\u00ba<\/td>\n10;34<\/td>\n302;16<\/td>\n10;15<\/td>\n305;26<\/td>\n9;56<\/td>\n308;36<\/td>\n<\/tr>\n
Aquarius<\/strong><\/td>\n10\u00ba<\/td>\n10;16<\/td>\n312;32<\/td>\n9;51<\/td>\n315;17<\/td>\n9;27<\/td>\n318;3<\/td>\n<\/tr>\n
20\u00ba<\/td>\n9;58<\/td>\n322;30<\/td>\n9;29<\/td>\n324;46<\/td>\n9;1<\/td>\n327;4<\/td>\n<\/tr>\n
30\u00ba<\/td>\n9;40<\/td>\n332;10<\/td>\n9;8<\/td>\n333;54<\/td>\n8;36<\/td>\n335;40<\/td>\n<\/tr>\n
Pisces<\/strong><\/td>\n10\u00ba<\/td>\n9;25<\/td>\n341;35<\/td>\n8;52<\/td>\n342;46<\/td>\n8;17<\/td>\n343;57<\/td>\n<\/tr>\n
20\u00ba<\/td>\n9;15<\/td>\n350;50;<\/td>\n8;39<\/td>\n351;25<\/td>\n8;5<\/td>\n352;2<\/td>\n<\/tr>\n
30\u00ba<\/td>\n9;10<\/td>\n360;0<\/td>\n8;35<\/td>\n360;0<\/td>\n7;58<\/td>\n360;0<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

Part 2<\/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
Sign<\/strong><\/td>\n10\u00ba<\/strong><\/td>\nSoene<\/strong><\/td>\nLower Egypt<\/strong><\/td>\nRhodes<\/strong><\/td>\n<\/tr>\n
$13\\frac{1}{2}h$<\/td>\n23;51\u00ba<\/td>\n$14h$<\/td>\n30;22\u00ba<\/td>\n$14\\frac{1}{2}h$<\/td>\n36;0\u00ba<\/td>\n<\/tr>\n
\u00ba<\/strong><\/td>\nAcc<\/strong><\/td>\n\u00ba<\/strong><\/td>\nAcc<\/strong><\/td>\n\u00ba<\/strong><\/td>\nAcc<\/strong><\/td>\n<\/tr>\n
Aries<\/strong><\/td>\n10\u00ba<\/td>\n7;23<\/td>\n7;23<\/td>\n6;48<\/td>\n6;48<\/td>\n6;14<\/td>\n6;14<\/td>\n<\/tr>\n
20\u00ba<\/td>\n7;29<\/td>\n14;52<\/td>\n6;55<\/td>\n13;43<\/td>\n6;21<\/td>\n12;35<\/td>\n<\/tr>\n
30\u00ba<\/td>\n7;45<\/td>\n22;37<\/td>\n7;10<\/td>\n20;53<\/td>\n6;37<\/td>\n19;12<\/td>\n<\/tr>\n
Taurus<\/strong><\/td>\n10\u00ba<\/td>\n8;4<\/td>\n30;41<\/td>\n7;33<\/td>\n28;26<\/td>\n7;1<\/td>\n26;13<\/td>\n<\/tr>\n
20\u00ba<\/td>\n8;31<\/td>\n39;12<\/td>\n8;2<\/td>\n36;28<\/td>\n7;33<\/td>\n33;46<\/td>\n<\/tr>\n
30\u00ba<\/td>\n9;3<\/td>\n48;15<\/td>\n8;37<\/td>\n45;5<\/td>\n8;12<\/td>\n41;58<\/td>\n<\/tr>\n
Gemini<\/strong><\/td>\n10\u00ba<\/td>\n9;36<\/td>\n57;51<\/td>\n9;17<\/td>\n54;22<\/td>\n8;56<\/td>\n50;54<\/td>\n<\/tr>\n
20\u00ba<\/td>\n10;11<\/td>\n68;2<\/td>\n10;0<\/td>\n64;22<\/td>\n9;47<\/td>\n60;41<\/td>\n<\/tr>\n
30\u00ba<\/td>\n10;43<\/td>\n78;45<\/td>\n10;38<\/td>\n75;0<\/td>\n10;34<\/td>\n71;15<\/td>\n<\/tr>\n
Cancer<\/strong><\/td>\n10\u00ba<\/td>\n11;7<\/td>\n89;52<\/td>\n11;12<\/td>\n86;12<\/td>\n11;16<\/td>\n82;31<\/td>\n<\/tr>\n
20\u00ba<\/td>\n11;23<\/td>\n101;15<\/td>\n11;34<\/td>\n97;46<\/td>\n11;47<\/td>\n94;18<\/td>\n<\/tr>\n
30\u00ba<\/td>\n11;32<\/td>\n112;47<\/td>\n11;51<\/td>\n109;37<\/td>\n12;12<\/td>\n106;30<\/td>\n<\/tr>\n
Leo<\/strong><\/td>\n10\u00ba<\/td>\n11;29<\/td>\n124;16<\/td>\n11;55<\/td>\n121;32<\/td>\n12;20<\/td>\n118;50<\/td>\n<\/tr>\n
20\u00ba<\/td>\n11;25<\/td>\n135;41<\/td>\n11;54<\/td>\n133;26<\/td>\n12;23<\/td>\n131;13<\/td>\n<\/tr>\n
30\u00ba<\/td>\n11;16<\/td>\n146;57<\/td>\n11;47<\/td>\n145;13<\/td>\n12;19<\/td>\n143;32<\/td>\n<\/tr>\n
Virgo<\/strong><\/td>\n10\u00ba<\/td>\n11;5<\/td>\n158;2<\/td>\n11;40<\/td>\n156;53<\/td>\n12;13<\/td>\n155;45<\/td>\n<\/tr>\n
20\u00ba<\/td>\n11;1<\/td>\n169;3<\/td>\n11;35<\/td>\n168;28<\/td>\n12;9<\/td>\n167;54<\/td>\n<\/tr>\n
30\u00ba<\/td>\n10;57<\/td>\n180;0<\/td>\n11;32<\/td>\n180;0<\/td>\n12;6<\/td>\n180;0<\/td>\n<\/tr>\n
Libra<\/strong><\/td>\n10\u00ba<\/td>\n10;57<\/td>\n190;57<\/td>\n11;32<\/td>\n191;32<\/td>\n12;6<\/td>\n192;6<\/td>\n<\/tr>\n
20\u00ba<\/td>\n11;1<\/td>\n201;58<\/td>\n11;35<\/td>\n203;7<\/td>\n12;9<\/td>\n204;15<\/td>\n<\/tr>\n
30\u00ba<\/td>\n11;5<\/td>\n213;3<\/td>\n11;40<\/td>\n214;47<\/td>\n12;13<\/td>\n216;28<\/td>\n<\/tr>\n
Scorpius<\/strong><\/td>\n10\u00ba<\/td>\n11;16<\/td>\n224;19<\/td>\n11;47<\/td>\n226;34<\/td>\n12;19<\/td>\n228;47<\/td>\n<\/tr>\n
20\u00ba<\/td>\n11;25<\/td>\n235;44<\/td>\n11;54<\/td>\n238;28<\/td>\n12;23<\/td>\n241;10<\/td>\n<\/tr>\n
30\u00ba<\/td>\n11;29<\/td>\n247;13<\/td>\n11;55<\/td>\n250;23<\/td>\n12;20<\/td>\n253;30<\/td>\n<\/tr>\n
Sagittarius<\/strong><\/td>\n10\u00ba<\/td>\n11;32<\/td>\n258;45<\/td>\n11;51<\/td>\n262;14<\/td>\n12;12<\/td>\n265;42<\/td>\n<\/tr>\n
20\u00ba<\/td>\n11;23<\/td>\n270;8<\/td>\n11;34<\/td>\n273;48<\/td>\n11;47<\/td>\n277;29<\/td>\n<\/tr>\n
30\u00ba<\/td>\n11;7<\/td>\n281;15<\/td>\n11;12<\/td>\n285;0<\/td>\n11;16<\/td>\n288;45<\/td>\n<\/tr>\n
Capricornus<\/strong><\/td>\n10\u00ba<\/td>\n10;43<\/td>\n291;58<\/td>\n10;38<\/td>\n295;38<\/td>\n10;34<\/td>\n299;19<\/td>\n<\/tr>\n
20\u00ba<\/td>\n10;11<\/td>\n302;9<\/td>\n10;0<\/td>\n305;38<\/td>\n9;47<\/td>\n309;6<\/td>\n<\/tr>\n
30\u00ba<\/td>\n9;36<\/td>\n311;45<\/td>\n9;17<\/td>\n314;55<\/td>\n8;56<\/td>\n318;2<\/td>\n<\/tr>\n
Aquarius<\/strong><\/td>\n10\u00ba<\/td>\n9;3<\/td>\n320;48<\/td>\n8;37<\/td>\n323;32<\/td>\n8;12<\/td>\n326;14<\/td>\n<\/tr>\n
20\u00ba<\/td>\n8;31<\/td>\n329;19<\/td>\n8;2<\/td>\n331;34<\/td>\n7;33<\/td>\n333;47<\/td>\n<\/tr>\n
30\u00ba<\/td>\n8;4<\/td>\n337;23<\/td>\n7;33<\/td>\n339;7<\/td>\n7;1<\/td>\n340;48<\/td>\n<\/tr>\n
Pisces<\/strong><\/td>\n10\u00ba<\/td>\n7;45<\/td>\n345;8<\/td>\n7;10<\/td>\n346;17<\/td>\n6;37<\/td>\n347;25<\/td>\n<\/tr>\n
20\u00ba<\/td>\n7;29<\/td>\n352;37<\/td>\n6;55<\/td>\n353;12<\/td>\n6;21<\/td>\n353;46<\/td>\n<\/tr>\n
30\u00ba<\/td>\n7;23<\/td>\n360;0<\/td>\n6;48<\/td>\n360;0<\/td>\n6;14<\/td>\n360;0<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

Part 3<\/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
Sign<\/strong><\/td>\n10\u00ba<\/strong><\/td>\nHellespont<\/strong><\/td>\nMiddle of Pontus<\/strong><\/td>\nMiddle of Borysthenes<\/strong><\/td>\n<\/tr>\n
$15h$<\/td>\n40;56\u00ba<\/td>\n$15\\frac{1}{2}h$<\/td>\n45;1\u00ba<\/td>\n$16h$<\/td>\n48;32\u00ba<\/td>\n<\/tr>\n
\u00ba<\/strong><\/td>\nAcc<\/strong><\/td>\n\u00ba<\/strong><\/td>\nAcc<\/strong><\/td>\n\u00ba<\/strong><\/td>\nAcc<\/strong><\/td>\n<\/tr>\n
Aries<\/strong><\/td>\n10\u00ba<\/td>\n5;40<\/td>\n5;40<\/td>\n5;8<\/td>\n5;8<\/td>\n4;36<\/td>\n4;36<\/td>\n<\/tr>\n
20\u00ba<\/td>\n5;47<\/td>\n11;27<\/td>\n5;14<\/td>\n10;22<\/td>\n4;43<\/td>\n9;19<\/td>\n<\/tr>\n
30\u00ba<\/td>\n6;5<\/td>\n17;32<\/td>\n5;33<\/td>\n15;55<\/td>\n5;1<\/td>\n14;20<\/td>\n<\/tr>\n
Taurus<\/strong><\/td>\n10\u00ba<\/td>\n6;29<\/td>\n24;1<\/td>\n5;58<\/td>\n21;53<\/td>\n5;26<\/td>\n19;46<\/td>\n<\/tr>\n
20\u00ba<\/td>\n7;4<\/td>\n31;5<\/td>\n6;34<\/td>\n28;27<\/td>\n6;5<\/td>\n25;51<\/td>\n<\/tr>\n
30\u00ba<\/td>\n7;46<\/td>\n38;51<\/td>\n7;20<\/td>\n35;47<\/td>\n6;52<\/td>\n32;43<\/td>\n<\/tr>\n
Gemini<\/strong><\/td>\n10\u00ba<\/td>\n8;38<\/td>\n47;29<\/td>\n8;15<\/td>\n44;2<\/td>\n7;53<\/td>\n40;36<\/td>\n<\/tr>\n
20\u00ba<\/td>\n9;32<\/td>\n57;1<\/td>\n9;19<\/td>\n53;21<\/td>\n9;5<\/td>\n49;41<\/td>\n<\/tr>\n
30\u00ba<\/td>\n10;29<\/td>\n67;30<\/td>\n10;24<\/td>\n63;45<\/td>\n10;19<\/td>\n60;0<\/td>\n<\/tr>\n
Cancer<\/strong><\/td>\n10\u00ba<\/td>\n11;21<\/td>\n78;51<\/td>\n11;26<\/td>\n75;11<\/td>\n11;31<\/td>\n71;31<\/td>\n<\/tr>\n
20\u00ba<\/td>\n12;2<\/td>\n90;53<\/td>\n12;15<\/td>\n87;26<\/td>\n12;29<\/td>\n84;0<\/td>\n<\/tr>\n
30\u00ba<\/td>\n12;30<\/td>\n103;23<\/td>\n12;53<\/td>\n100;19<\/td>\n13;15<\/td>\n97;15<\/td>\n<\/tr>\n
Leo<\/strong><\/td>\n10\u00ba<\/td>\n12;46<\/td>\n116;9<\/td>\n13;12<\/td>\n113;31<\/td>\n13;40<\/td>\n110;55<\/td>\n<\/tr>\n
20\u00ba<\/td>\n12;52<\/td>\n129;1<\/td>\n13;22<\/td>\n126;53<\/td>\n13;51<\/td>\n124;46<\/td>\n<\/tr>\n
30\u00ba<\/td>\n12;51<\/td>\n141;52<\/td>\n13;22<\/td>\n140;15<\/td>\n13;54<\/td>\n138;40<\/td>\n<\/tr>\n
Virgo<\/strong><\/td>\n10\u00ba<\/td>\n12;45<\/td>\n154;37<\/td>\n13;17<\/td>\n153;32<\/td>\n13;49<\/td>\n152;29<\/td>\n<\/tr>\n
20\u00ba<\/td>\n12;43<\/td>\n167;20<\/td>\n13;16<\/td>\n166;48<\/td>\n13;47<\/td>\n166;16<\/td>\n<\/tr>\n
30\u00ba<\/td>\n12;40<\/td>\n180;0<\/td>\n13;12<\/td>\n180;0<\/td>\n13;44<\/td>\n180;0<\/td>\n<\/tr>\n
Libra<\/strong><\/td>\n10\u00ba<\/td>\n12;40<\/td>\n192;40<\/td>\n13;12<\/td>\n193;12<\/td>\n13;44<\/td>\n193;44<\/td>\n<\/tr>\n
20\u00ba<\/td>\n12;43<\/td>\n205;23<\/td>\n13;16<\/td>\n206;28<\/td>\n13;47<\/td>\n207;31<\/td>\n<\/tr>\n
30\u00ba<\/td>\n12;45<\/td>\n218;8<\/td>\n13;17<\/td>\n219;45<\/td>\n13;49<\/td>\n221;20<\/td>\n<\/tr>\n
Scorpius<\/strong><\/td>\n10\u00ba<\/td>\n12;51<\/td>\n230;59<\/td>\n13;22<\/td>\n233;7<\/td>\n13;54<\/td>\n235;14<\/td>\n<\/tr>\n
20\u00ba<\/td>\n12;52<\/td>\n243;51<\/td>\n13;22<\/td>\n246;29<\/td>\n13;51<\/td>\n249;5<\/td>\n<\/tr>\n
30\u00ba<\/td>\n12;46<\/td>\n256;37<\/td>\n13;12<\/td>\n259;41<\/td>\n13;40<\/td>\n262;45<\/td>\n<\/tr>\n
Sagittarius<\/strong><\/td>\n10\u00ba<\/td>\n12;30<\/td>\n269;7<\/td>\n12;53<\/td>\n272;34<\/td>\n13;15<\/td>\n276;0<\/td>\n<\/tr>\n
20\u00ba<\/td>\n12;2<\/td>\n281;9<\/td>\n12;15<\/td>\n284;49<\/td>\n12;29<\/td>\n288;29<\/td>\n<\/tr>\n
30\u00ba<\/td>\n11;21<\/td>\n292;30<\/td>\n11;26<\/td>\n296;15<\/td>\n11;31<\/td>\n300;0<\/td>\n<\/tr>\n
Capricornus<\/strong><\/td>\n10\u00ba<\/td>\n10;29<\/td>\n302;59<\/td>\n10;24<\/td>\n306;39<\/td>\n10;19<\/td>\n310;19<\/td>\n<\/tr>\n
20\u00ba<\/td>\n9;32<\/td>\n312;31<\/td>\n9;19<\/td>\n315;58<\/td>\n9;5<\/td>\n319;24<\/td>\n<\/tr>\n
30\u00ba<\/td>\n8;38<\/td>\n321;9<\/td>\n8;15<\/td>\n324;13<\/td>\n7;53<\/td>\n327;17<\/td>\n<\/tr>\n
Aquarius<\/strong><\/td>\n10\u00ba<\/td>\n7;46<\/td>\n328;55<\/td>\n7;20<\/td>\n331;33<\/td>\n6;52<\/td>\n334;9<\/td>\n<\/tr>\n
20\u00ba<\/td>\n7;4<\/td>\n335;59<\/td>\n6;34<\/td>\n338;7<\/td>\n6;5<\/td>\n340;14<\/td>\n<\/tr>\n
30\u00ba<\/td>\n6;29<\/td>\n342;28<\/td>\n5;58<\/td>\n344;5<\/td>\n5;26<\/td>\n345;40<\/td>\n<\/tr>\n
Pisces<\/strong><\/td>\n10\u00ba<\/td>\n6;5<\/td>\n348;33<\/td>\n5;33<\/td>\n349;38<\/td>\n5;1<\/td>\n350;41<\/td>\n<\/tr>\n
20\u00ba<\/td>\n5;47<\/td>\n354;20<\/td>\n5;14<\/td>\n354;52<\/td>\n4;43<\/td>\n355;24<\/td>\n<\/tr>\n
30\u00ba<\/td>\n5;40<\/td>\n360;0<\/td>\n5;8<\/td>\n360;0<\/td>\n4;36<\/td>\n360;0<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

Part 4<\/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
Sign<\/strong><\/td>\n10\u00ba<\/strong><\/td>\nSouthernmost <\/strong>Brittania<\/strong><\/td>\nMouths of Tanais<\/strong><\/td>\n<\/tr>\n
$16\\frac{1}{2}h$<\/td>\n51;30\u00ba<\/td>\n$17h$<\/td>\n54;1\u00ba<\/td>\n<\/tr>\n
\u00ba<\/strong><\/td>\nAcc<\/strong><\/td>\n\u00ba<\/strong><\/td>\nAcc<\/strong><\/td>\n<\/tr>\n
Aries<\/strong><\/td>\n10\u00ba<\/td>\n4;5<\/td>\n4;5<\/td>\n3;36<\/td>\n3;36<\/td>\n<\/tr>\n
20\u00ba<\/td>\n4;12<\/td>\n8;17<\/td>\n3;43<\/td>\n7;19<\/td>\n<\/tr>\n
30\u00ba<\/td>\n4;31<\/td>\n12;48<\/td>\n4;0<\/td>\n11;19<\/td>\n<\/tr>\n
Taurus<\/strong><\/td>\n10\u00ba<\/td>\n4;56<\/td>\n17;44<\/td>\n4;26<\/td>\n15;45<\/td>\n<\/tr>\n
20\u00ba<\/td>\n5;34<\/td>\n23;18<\/td>\n5;4<\/td>\n20;49<\/td>\n<\/tr>\n
30\u00ba<\/td>\n6;25<\/td>\n29;43<\/td>\n5;56<\/td>\n26;45<\/td>\n<\/tr>\n
Gemini<\/strong><\/td>\n10\u00ba<\/td>\n7;29<\/td>\n37;12<\/td>\n7;5<\/td>\n33;50<\/td>\n<\/tr>\n
20\u00ba<\/td>\n8;49<\/td>\n46;1<\/td>\n8;33<\/td>\n42;23<\/td>\n<\/tr>\n
30\u00ba<\/td>\n10;14<\/td>\n56;15<\/td>\n10;7<\/td>\n52;30<\/td>\n<\/tr>\n
Cancer<\/strong><\/td>\n10\u00ba<\/td>\n11;36<\/td>\n67;51<\/td>\n11;43<\/td>\n64;13<\/td>\n<\/tr>\n
20\u00ba<\/td>\n12;45<\/td>\n80;36<\/td>\n13;1<\/td>\n77;14<\/td>\n<\/tr>\n
30\u00ba<\/td>\n13;39<\/td>\n94;15<\/td>\n14;3<\/td>\n91;17<\/td>\n<\/tr>\n
Leo<\/strong><\/td>\n10\u00ba<\/td>\n14;7<\/td>\n108;22<\/td>\n14;36<\/td>\n105;53<\/td>\n<\/tr>\n
20\u00ba<\/td>\n14;22<\/td>\n122;44<\/td>\n14;52<\/td>\n120;45<\/td>\n<\/tr>\n
30\u00ba<\/td>\n1424;<\/td>\n137;8<\/td>\n14;54<\/td>\n135;39<\/td>\n<\/tr>\n
Virgo<\/strong><\/td>\n10\u00ba<\/td>\n14;19<\/td>\n151;27<\/td>\n14;50<\/td>\n150;29<\/td>\n<\/tr>\n
20\u00ba<\/td>\n14;18<\/td>\n165;45<\/td>\n14;47<\/td>\n165;16<\/td>\n<\/tr>\n
30\u00ba<\/td>\n14;15<\/td>\n180;0<\/td>\n14;44<\/td>\n180;0<\/td>\n<\/tr>\n
Libra<\/strong><\/td>\n10\u00ba<\/td>\n14;15<\/td>\n194;15<\/td>\n14;44<\/td>\n194;44<\/td>\n<\/tr>\n
20\u00ba<\/td>\n14;18<\/td>\n208;33<\/td>\n14;47<\/td>\n209;31<\/td>\n<\/tr>\n
30\u00ba<\/td>\n14;19<\/td>\n222;52<\/td>\n14;50<\/td>\n224;21<\/td>\n<\/tr>\n
Scorpius<\/strong><\/td>\n10\u00ba<\/td>\n14;24<\/td>\n237;16<\/td>\n14;54<\/td>\n239;15<\/td>\n<\/tr>\n
20\u00ba<\/td>\n14;22<\/td>\n251;31<\/td>\n14;52<\/td>\n254;7<\/td>\n<\/tr>\n
30\u00ba<\/td>\n14;7<\/td>\n265;45<\/td>\n14;36<\/td>\n268;43<\/td>\n<\/tr>\n
Sagittarius<\/strong><\/td>\n10\u00ba<\/td>\n13;39<\/td>\n279;24<\/td>\n14;3<\/td>\n282;46<\/td>\n<\/tr>\n
20\u00ba<\/td>\n12;45<\/td>\n292;9<\/td>\n13;1<\/td>\n295;47<\/td>\n<\/tr>\n
30\u00ba<\/td>\n11;36<\/td>\n303;45<\/td>\n11;43<\/td>\n307;30<\/td>\n<\/tr>\n
Capricornus<\/strong><\/td>\n10\u00ba<\/td>\n10;14<\/td>\n313;59<\/td>\n10;7<\/td>\n317;37<\/td>\n<\/tr>\n
20\u00ba<\/td>\n8;49<\/td>\n322;48<\/td>\n8;33<\/td>\n326;10<\/td>\n<\/tr>\n
30\u00ba<\/td>\n7;29<\/td>\n330;17<\/td>\n7;5<\/td>\n333;15<\/td>\n<\/tr>\n
Aquarius<\/strong><\/td>\n10\u00ba<\/td>\n6;25<\/td>\n336;42<\/td>\n5;56<\/td>\n339;11<\/td>\n<\/tr>\n
20\u00ba<\/td>\n5;34<\/td>\n342;16<\/td>\n5;4<\/td>\n344;15<\/td>\n<\/tr>\n
30\u00ba<\/td>\n4;56<\/td>\n347;12<\/td>\n4;26<\/td>\n348;41<\/td>\n<\/tr>\n
Pisces<\/strong><\/td>\n10\u00ba<\/td>\n3;41<\/td>\n351;43<\/td>\n4;0<\/td>\n352;41<\/td>\n<\/tr>\n
20\u00ba<\/td>\n4;12<\/td>\n355;55<\/td>\n3;43<\/td>\n356;24<\/td>\n<\/tr>\n
30\u00ba<\/td>\n4;5<\/td>\n360;0<\/td>\n3;36<\/td>\n360;0<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n","protected":false},"excerpt":{"rendered":"

Over the past several posts we have worked towards an understanding of the rising times of arcs of the ecliptic at various latitudes. With this work complete, Ptolemy presents a table of these rising times in 10\u00ba intervals for select latitudes.<\/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":[25,35,14],"class_list":["post-1180","post","type-post","status-publish","format-standard","hentry","category-almagest","tag-almagest","tag-ecliptic","tag-ptolemy"],"acf":[],"jetpack_publicize_connections":[],"jetpack_featured_media_url":"","jetpack_sharing_enabled":true,"jetpack_shortlink":"https:\/\/wp.me\/p9ZpvC-j2","_links":{"self":[{"href":"https:\/\/jonvoisey.net\/blog\/wp-json\/wp\/v2\/posts\/1180","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=1180"}],"version-history":[{"count":24,"href":"https:\/\/jonvoisey.net\/blog\/wp-json\/wp\/v2\/posts\/1180\/revisions"}],"predecessor-version":[{"id":3941,"href":"https:\/\/jonvoisey.net\/blog\/wp-json\/wp\/v2\/posts\/1180\/revisions\/3941"}],"wp:attachment":[{"href":"https:\/\/jonvoisey.net\/blog\/wp-json\/wp\/v2\/media?parent=1180"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/jonvoisey.net\/blog\/wp-json\/wp\/v2\/categories?post=1180"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/jonvoisey.net\/blog\/wp-json\/wp\/v2\/tags?post=1180"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}