{"id":1485,"date":"2019-05-25T21:02:59","date_gmt":"2019-05-26T02:02:59","guid":{"rendered":"http:\/\/jonvoisey.net\/blog\/?p=1485"},"modified":"2019-11-26T18:36:39","modified_gmt":"2019-11-27T00:36:39","slug":"almagest-book-iii-table-of-the-mean-motion-of-the-sun","status":"publish","type":"post","link":"https:\/\/jonvoisey.net\/blog\/2019\/05\/almagest-book-iii-table-of-the-mean-motion-of-the-sun\/","title":{"rendered":"Almagest Book III: Table of the Mean Motion of the Sun"},"content":{"rendered":"

To help us determine where the sun is on a given date, Ptolemy sets out a table to allow us to more quickly look this up instead of needing to calculate how far around the ecliptic the sun has moved. This table is very similar to another set of tables Ptolemy would produce later: The Handy Tables. However, there are some notable differences between this table and the Handy Tables.<\/p>\n

The first is that Ptolemy starts this table in 1 Nabonassar. It contains 45 rows in the 18-year table which means it spans 810 years. But Nabonassar began, by the Julian calendar, in 747 BCE. Thus, 810 years later is only 63 CE which doesn’t even cover the period up to Ptolemy’s own time. So although Ptolemy presents these tables, they’re really only good for things in his own past. The footnote in Toomer states,<\/p>\n

By the time he came to compose the Handy Tables, he had reaslized the inconvenience of this arrangement, and switched to 25-yea periods and an epoch closer to his own time (Era Phillip, 323 BCE Nov. 12).<\/p><\/blockquote>\n

Regardless of the impracticality of these tables over longer time periods, here are the tables. I’ve rearranged the order in descending period whereas Ptolemy presented them in a fashion that fit them all onto two pages.<\/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
Distance [in Anomaly] from the Sun’s Apogee in Gemini 5;30\u00ba to its Mean<\/strong>
\nLongitude in the 1st Year of Nabonassar, Pisces 0;45\u00ba : 265;15\u00ba<\/strong><\/td>\n<\/tr>\n
18-year period<\/strong><\/td>\n\u00ba<\/strong><\/td>\n‘<\/strong><\/td>\n”<\/strong><\/td>\n”’<\/strong><\/td>\n””<\/strong><\/td>\n””’<\/strong><\/td>\n”””<\/strong><\/td>\n<\/tr>\n
18<\/td>\n355<\/td>\n37<\/td>\n25<\/td>\n36<\/td>\n20<\/td>\n34<\/td>\n30<\/td>\n<\/tr>\n
36<\/td>\n352<\/td>\n14<\/td>\n51<\/td>\n12<\/td>\n41<\/td>\n9<\/td>\n0<\/td>\n<\/tr>\n
54<\/td>\n346<\/td>\n52<\/td>\n16<\/td>\n49<\/td>\n1<\/td>\n43<\/td>\n30<\/td>\n<\/tr>\n
82<\/td>\n342<\/td>\n29<\/td>\n42<\/td>\n25<\/td>\n22<\/td>\n18<\/td>\n0<\/td>\n<\/tr>\n
90<\/td>\n338<\/td>\n7<\/td>\n8<\/td>\n1<\/td>\n42<\/td>\n52<\/td>\n30<\/td>\n<\/tr>\n
108<\/td>\n333<\/td>\n44<\/td>\n33<\/td>\n38<\/td>\n3<\/td>\n27<\/td>\n0<\/td>\n<\/tr>\n
126<\/td>\n329<\/td>\n21<\/td>\n59<\/td>\n14<\/td>\n24<\/td>\n1<\/td>\n30<\/td>\n<\/tr>\n
144<\/td>\n324<\/td>\n59<\/td>\n24<\/td>\n50<\/td>\n44<\/td>\n36<\/td>\n0<\/td>\n<\/tr>\n
162<\/td>\n320<\/td>\n36<\/td>\n50<\/td>\n27<\/td>\n5<\/td>\n10<\/td>\n30<\/td>\n<\/tr>\n
180<\/td>\n316<\/td>\n14<\/td>\n16<\/td>\n3<\/td>\n25<\/td>\n45<\/td>\n0<\/td>\n<\/tr>\n
198<\/td>\n311<\/td>\n51<\/td>\n41<\/td>\n39<\/td>\n46<\/td>\n19<\/td>\n30<\/td>\n<\/tr>\n
216<\/td>\n307<\/td>\n29<\/td>\n7<\/td>\n16<\/td>\n6<\/td>\n54<\/td>\n0<\/td>\n<\/tr>\n
234<\/td>\n303<\/td>\n6<\/td>\n32<\/td>\n52<\/td>\n27<\/td>\n28<\/td>\n30<\/td>\n<\/tr>\n
252<\/td>\n298<\/td>\n43<\/td>\n58<\/td>\n28<\/td>\n48<\/td>\n3<\/td>\n0<\/td>\n<\/tr>\n
270<\/td>\n294<\/td>\n21<\/td>\n24<\/td>\n5<\/td>\n8<\/td>\n37<\/td>\n30<\/td>\n<\/tr>\n
288<\/td>\n289<\/td>\n58<\/td>\n49<\/td>\n41<\/td>\n29<\/td>\n12<\/td>\n0<\/td>\n<\/tr>\n
306<\/td>\n285<\/td>\n36<\/td>\n15<\/td>\n17<\/td>\n49<\/td>\n46<\/td>\n30<\/td>\n<\/tr>\n
324<\/td>\n281<\/td>\n13<\/td>\n40<\/td>\n54<\/td>\n10<\/td>\n21<\/td>\n0<\/td>\n<\/tr>\n
342<\/td>\n276<\/td>\n51<\/td>\n6<\/td>\n30<\/td>\n30<\/td>\n55<\/td>\n30<\/td>\n<\/tr>\n
360<\/td>\n272<\/td>\n28<\/td>\n32<\/td>\n6<\/td>\n51<\/td>\n30<\/td>\n0<\/td>\n<\/tr>\n
378<\/td>\n268<\/td>\n5<\/td>\n57<\/td>\n43<\/td>\n12<\/td>\n4<\/td>\n30<\/td>\n<\/tr>\n
396<\/td>\n263<\/td>\n43<\/td>\n23<\/td>\n19<\/td>\n32<\/td>\n39<\/td>\n0<\/td>\n<\/tr>\n
414<\/td>\n259<\/td>\n20<\/td>\n48<\/td>\n55<\/td>\n53<\/td>\n13<\/td>\n30<\/td>\n<\/tr>\n
432<\/td>\n254<\/td>\n58<\/td>\n14<\/td>\n32<\/td>\n13<\/td>\n48<\/td>\n0<\/td>\n<\/tr>\n
450<\/td>\n250<\/td>\n35<\/td>\n40<\/td>\n8<\/td>\n34<\/td>\n22<\/td>\n30<\/td>\n<\/tr>\n
468<\/td>\n246<\/td>\n13<\/td>\n5<\/td>\n44<\/td>\n54<\/td>\n57<\/td>\n0<\/td>\n<\/tr>\n
486<\/td>\n241<\/td>\n50<\/td>\n31<\/td>\n21<\/td>\n15<\/td>\n31<\/td>\n30<\/td>\n<\/tr>\n
504<\/td>\n237<\/td>\n27<\/td>\n56<\/td>\n57<\/td>\n36<\/td>\n6<\/td>\n0<\/td>\n<\/tr>\n
522<\/td>\n233<\/td>\n5<\/td>\n22<\/td>\n33<\/td>\n56<\/td>\n40<\/td>\n30<\/td>\n<\/tr>\n
540<\/td>\n228<\/td>\n42<\/td>\n48<\/td>\n10<\/td>\n17<\/td>\n15<\/td>\n0<\/td>\n<\/tr>\n
558<\/td>\n224<\/td>\n20<\/td>\n13<\/td>\n46<\/td>\n37<\/td>\n49<\/td>\n30<\/td>\n<\/tr>\n
576<\/td>\n219<\/td>\n57<\/td>\n39<\/td>\n22<\/td>\n58<\/td>\n24<\/td>\n0<\/td>\n<\/tr>\n
594<\/td>\n215<\/td>\n35<\/td>\n4<\/td>\n59<\/td>\n18<\/td>\n58<\/td>\n30<\/td>\n<\/tr>\n
612<\/td>\n211<\/td>\n12<\/td>\n30<\/td>\n35<\/td>\n39<\/td>\n33<\/td>\n0<\/td>\n<\/tr>\n
630<\/td>\n206<\/td>\n49<\/td>\n56<\/td>\n12<\/td>\n0<\/td>\n7<\/td>\n30<\/td>\n<\/tr>\n
648<\/td>\n202<\/td>\n27<\/td>\n21<\/td>\n48<\/td>\n20<\/td>\n42<\/td>\n0<\/td>\n<\/tr>\n
666<\/td>\n198<\/td>\n4<\/td>\n47<\/td>\n24<\/td>\n41<\/td>\n16<\/td>\n30<\/td>\n<\/tr>\n
684<\/td>\n193<\/td>\n42<\/td>\n13<\/td>\n1<\/td>\n1<\/td>\n51<\/td>\n0<\/td>\n<\/tr>\n
702<\/td>\n189<\/td>\n19<\/td>\n38<\/td>\n37<\/td>\n22<\/td>\n25<\/td>\n30<\/td>\n<\/tr>\n
720<\/td>\n184<\/td>\n57<\/td>\n4<\/td>\n13<\/td>\n43<\/td>\n0<\/td>\n0<\/td>\n<\/tr>\n
738<\/td>\n180<\/td>\n34<\/td>\n29<\/td>\n50<\/td>\n3<\/td>\n34<\/td>\n30<\/td>\n<\/tr>\n
756<\/td>\n176<\/td>\n11<\/td>\n55<\/td>\n26<\/td>\n24<\/td>\n9<\/td>\n0<\/td>\n<\/tr>\n
774<\/td>\n171<\/td>\n49<\/td>\n21<\/td>\n2<\/td>\n44<\/td>\n43<\/td>\n30<\/td>\n<\/tr>\n
792<\/td>\n167<\/td>\n26<\/td>\n46<\/td>\n39<\/td>\n5<\/td>\n18<\/td>\n0<\/td>\n<\/tr>\n
810<\/td>\n163<\/td>\n4<\/td>\n12<\/td>\n15<\/td>\n25<\/td>\n52<\/td>\n30<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

 <\/p>\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n
Single Years<\/strong><\/td>\n\u00ba<\/strong><\/td>\n‘<\/strong><\/td>\n”<\/strong><\/td>\n”’<\/strong><\/td>\n””<\/strong><\/td>\n””’<\/strong><\/td>\n”””<\/strong><\/td>\n<\/tr>\n
1<\/td>\n359<\/td>\n45<\/td>\n24<\/td>\n45<\/td>\n21<\/td>\n8<\/td>\n35<\/td>\n<\/tr>\n
2<\/td>\n359<\/td>\n30<\/td>\n49<\/td>\n30<\/td>\n42<\/td>\n17<\/td>\n10<\/td>\n<\/tr>\n
3<\/td>\n359<\/td>\n16<\/td>\n14<\/td>\n16<\/td>\n3<\/td>\n25<\/td>\n45<\/td>\n<\/tr>\n
4<\/td>\n359<\/td>\n1<\/td>\n39<\/td>\n1<\/td>\n24<\/td>\n34<\/td>\n20<\/td>\n<\/tr>\n
5<\/td>\n358<\/td>\n47<\/td>\n3<\/td>\n46<\/td>\n45<\/td>\n42<\/td>\n55<\/td>\n<\/tr>\n
6<\/td>\n358<\/td>\n32<\/td>\n28<\/td>\n32<\/td>\n6<\/td>\n51<\/td>\n30<\/td>\n<\/tr>\n
7<\/td>\n358<\/td>\n17<\/td>\n53<\/td>\n17<\/td>\n28<\/td>\n0<\/td>\n5<\/td>\n<\/tr>\n
8<\/td>\n358<\/td>\n3<\/td>\n18<\/td>\n2<\/td>\n49<\/td>\n8<\/td>\n40<\/td>\n<\/tr>\n
9<\/td>\n357<\/td>\n48<\/td>\n42<\/td>\n48<\/td>\n10<\/td>\n17<\/td>\n15<\/td>\n<\/tr>\n
10<\/td>\n357<\/td>\n34<\/td>\n7<\/td>\n33<\/td>\n31<\/td>\n25<\/td>\n50<\/td>\n<\/tr>\n
11<\/td>\n357<\/td>\n19<\/td>\n35<\/td>\n18<\/td>\n52<\/td>\n34<\/td>\n25<\/td>\n<\/tr>\n
12<\/td>\n357<\/td>\n4<\/td>\n57<\/td>\n4<\/td>\n13<\/td>\n43<\/td>\n0<\/td>\n<\/tr>\n
13<\/td>\n356<\/td>\n50<\/td>\n21<\/td>\n49<\/td>\n34<\/td>\n51<\/td>\n35<\/td>\n<\/tr>\n
14<\/td>\n356<\/td>\n35<\/td>\n46<\/td>\n34<\/td>\n56<\/td>\n0<\/td>\n10<\/td>\n<\/tr>\n
15<\/td>\n356<\/td>\n21<\/td>\n11<\/td>\n20<\/td>\n17<\/td>\n8<\/td>\n45<\/td>\n<\/tr>\n
16<\/td>\n356<\/td>\n6<\/td>\n36<\/td>\n5<\/td>\n38<\/td>\n17<\/td>\n20<\/td>\n<\/tr>\n
17<\/td>\n355<\/td>\n52<\/td>\n0<\/td>\n50<\/td>\n59<\/td>\n25<\/td>\n55<\/td>\n<\/tr>\n
18<\/td>\n355<\/td>\n37<\/td>\n25<\/td>\n36<\/td>\n20<\/td>\n34<\/td>\n30<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

 <\/p>\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n
Days <\/strong><\/p>\n

(by Month)<\/strong><\/td>\n

\u00ba<\/strong><\/td>\n‘<\/strong><\/td>\n”<\/strong><\/td>\n”’<\/strong><\/td>\n””<\/strong><\/td>\n””’<\/strong><\/td>\n”””<\/strong><\/td>\n<\/tr>\n
30<\/td>\n29<\/td>\n34<\/td>\n8<\/td>\n36<\/td>\n36<\/td>\n15<\/td>\n30<\/td>\n<\/tr>\n
60<\/td>\n59<\/td>\n8<\/td>\n17<\/td>\n13<\/td>\n12<\/td>\n31<\/td>\n0<\/td>\n<\/tr>\n
90<\/td>\n88<\/td>\n42<\/td>\n25<\/td>\n49<\/td>\n48<\/td>\n46<\/td>\n30<\/td>\n<\/tr>\n
120<\/td>\n118<\/td>\n16<\/td>\n34<\/td>\n26<\/td>\n25<\/td>\n2<\/td>\n0<\/td>\n<\/tr>\n
150<\/td>\n147<\/td>\n50<\/td>\n43<\/td>\n3<\/td>\n1<\/td>\n17<\/td>\n30<\/td>\n<\/tr>\n
180<\/td>\n117<\/td>\n24<\/td>\n51<\/td>\n39<\/td>\n37<\/td>\n33<\/td>\n0<\/td>\n<\/tr>\n
210<\/td>\n206<\/td>\n59<\/td>\n0<\/td>\n16<\/td>\n13<\/td>\n48<\/td>\n30<\/td>\n<\/tr>\n
240<\/td>\n236<\/td>\n33<\/td>\n8<\/td>\n52<\/td>\n50<\/td>\n4<\/td>\n0<\/td>\n<\/tr>\n
270<\/td>\n266<\/td>\n7<\/td>\n17<\/td>\n29<\/td>\n26<\/td>\n19<\/td>\n30<\/td>\n<\/tr>\n
300<\/td>\n295<\/td>\n41<\/td>\n26<\/td>\n6<\/td>\n2<\/td>\n35<\/td>\n0<\/td>\n<\/tr>\n
330<\/td>\n325<\/td>\n15<\/td>\n34<\/td>\n42<\/td>\n38<\/td>\n50<\/td>\n30<\/td>\n<\/tr>\n
360<\/td>\n354<\/td>\n49<\/td>\n43<\/td>\n19<\/td>\n15<\/td>\n6<\/td>\n0<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\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
Days<\/strong><\/td>\n\u00ba<\/strong><\/td>\n‘<\/strong><\/td>\n”<\/strong><\/td>\n”’<\/strong><\/td>\n””<\/strong><\/td>\n””’<\/strong><\/td>\n”””<\/strong><\/td>\n<\/tr>\n
1<\/td>\n0<\/td>\n59<\/td>\n8<\/td>\n17<\/td>\n13<\/td>\n12<\/td>\n31<\/td>\n<\/tr>\n
2<\/td>\n1<\/td>\n58<\/td>\n16<\/td>\n34<\/td>\n26<\/td>\n25<\/td>\n2<\/td>\n<\/tr>\n
3<\/td>\n2<\/td>\n57<\/td>\n24<\/td>\n51<\/td>\n39<\/td>\n37<\/td>\n33<\/td>\n<\/tr>\n
4<\/td>\n3<\/td>\n56<\/td>\n33<\/td>\n8<\/td>\n52<\/td>\n50<\/td>\n4<\/td>\n<\/tr>\n
5<\/td>\n4<\/td>\n55<\/td>\n41<\/td>\n26<\/td>\n6<\/td>\n2<\/td>\n35<\/td>\n<\/tr>\n
6<\/td>\n5<\/td>\n54<\/td>\n49<\/td>\n43<\/td>\n19<\/td>\n15<\/td>\n6<\/td>\n<\/tr>\n
7<\/td>\n6<\/td>\n53<\/td>\n58<\/td>\n0<\/td>\n32<\/td>\n27<\/td>\n37<\/td>\n<\/tr>\n
8<\/td>\n7<\/td>\n53<\/td>\n6<\/td>\n17<\/td>\n48<\/td>\n40<\/td>\n8<\/td>\n<\/tr>\n
9<\/td>\n8<\/td>\n52<\/td>\n14<\/td>\n34<\/td>\n58<\/td>\n52<\/td>\n39<\/td>\n<\/tr>\n
10<\/td>\n9<\/td>\n51<\/td>\n22<\/td>\n52<\/td>\n12<\/td>\n5<\/td>\n10<\/td>\n<\/tr>\n
11<\/td>\n10<\/td>\n50<\/td>\n31<\/td>\n9<\/td>\n25<\/td>\n17<\/td>\n41<\/td>\n<\/tr>\n
12<\/td>\n11<\/td>\n49<\/td>\n36<\/td>\n26<\/td>\n38<\/td>\n30<\/td>\n12<\/td>\n<\/tr>\n
13<\/td>\n12<\/td>\n48<\/td>\n47<\/td>\n43<\/td>\n51<\/td>\n42<\/td>\n43<\/td>\n<\/tr>\n
14<\/td>\n143<\/td>\n47<\/td>\n56<\/td>\n1<\/td>\n4<\/td>\n55<\/td>\n14<\/td>\n<\/tr>\n
15<\/td>\n14<\/td>\n47<\/td>\n4<\/td>\n18<\/td>\n18<\/td>\n7<\/td>\n45<\/td>\n<\/tr>\n
16<\/td>\n15<\/td>\n46<\/td>\n12<\/td>\n35<\/td>\n31<\/td>\n20<\/td>\n16<\/td>\n<\/tr>\n
17<\/td>\n16<\/td>\n45<\/td>\n20<\/td>\n52<\/td>\n44<\/td>\n32<\/td>\n47<\/td>\n<\/tr>\n
18<\/td>\n17<\/td>\n44<\/td>\n29<\/td>\n9<\/td>\n57<\/td>\n45<\/td>\n18<\/td>\n<\/tr>\n
19<\/td>\n18<\/td>\n43<\/td>\n37<\/td>\n27<\/td>\n10<\/td>\n57<\/td>\n49<\/td>\n<\/tr>\n
20<\/td>\n19<\/td>\n42<\/td>\n45<\/td>\n44<\/td>\n24<\/td>\n10<\/td>\n20<\/td>\n<\/tr>\n
21<\/td>\n20<\/td>\n41<\/td>\n54<\/td>\n1<\/td>\n37<\/td>\n22<\/td>\n51<\/td>\n<\/tr>\n
22<\/td>\n21<\/td>\n41<\/td>\n2<\/td>\n18<\/td>\n50<\/td>\n35<\/td>\n22<\/td>\n<\/tr>\n
23<\/td>\n22<\/td>\n40<\/td>\n10<\/td>\n36<\/td>\n3<\/td>\n47<\/td>\n53<\/td>\n<\/tr>\n
24<\/td>\n23<\/td>\n39<\/td>\n18<\/td>\n53<\/td>\n17<\/td>\n0<\/td>\n24<\/td>\n<\/tr>\n
25<\/td>\n24<\/td>\n38<\/td>\n27<\/td>\n10<\/td>\n30<\/td>\n12<\/td>\n55<\/td>\n<\/tr>\n
26<\/td>\n25<\/td>\n37<\/td>\n35<\/td>\n27<\/td>\n43<\/td>\n25<\/td>\n26<\/td>\n<\/tr>\n
27<\/td>\n26<\/td>\n36<\/td>\n43<\/td>\n44<\/td>\n56<\/td>\n37<\/td>\n57<\/td>\n<\/tr>\n
28<\/td>\n27<\/td>\n35<\/td>\n52<\/td>\n2<\/td>\n9<\/td>\n50<\/td>\n28<\/td>\n<\/tr>\n
29<\/td>\n28<\/td>\n35<\/td>\n0<\/td>\n19<\/td>\n23<\/td>\n2<\/td>\n59<\/td>\n<\/tr>\n
30<\/td>\n29<\/td>\n34<\/td>\n8<\/td>\n36<\/td>\n36<\/td>\n15<\/td>\n30<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\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
Hours<\/strong><\/td>\n\u00ba<\/strong><\/td>\n‘<\/strong><\/td>\n”<\/strong><\/td>\n”’<\/strong><\/td>\n””<\/strong><\/td>\n””’<\/strong><\/td>\n”””<\/strong><\/td>\n<\/tr>\n
1<\/td>\n0<\/td>\n2<\/td>\n27<\/td>\n50<\/td>\n43<\/td>\n3<\/td>\n1<\/td>\n<\/tr>\n
2<\/td>\n0<\/td>\n4<\/td>\n55<\/td>\n41<\/td>\n26<\/td>\n6<\/td>\n2<\/td>\n<\/tr>\n
3<\/td>\n0<\/td>\n7<\/td>\n23<\/td>\n32<\/td>\n9<\/td>\n9<\/td>\n3<\/td>\n<\/tr>\n
4<\/td>\n0<\/td>\n9<\/td>\n51<\/td>\n22<\/td>\n52<\/td>\n12<\/td>\n5<\/td>\n<\/tr>\n
5<\/td>\n0<\/td>\n12<\/td>\n19<\/td>\n13<\/td>\n35<\/td>\n15<\/td>\n6<\/td>\n<\/tr>\n
6<\/td>\n0<\/td>\n14<\/td>\n47<\/td>\n4<\/td>\n18<\/td>\n18<\/td>\n7<\/td>\n<\/tr>\n
7<\/td>\n0<\/td>\n17<\/td>\n14<\/td>\n55<\/td>\n1<\/td>\n21<\/td>\n9<\/td>\n<\/tr>\n
8<\/td>\n0<\/td>\n19<\/td>\n42<\/td>\n45<\/td>\n44<\/td>\n14<\/td>\n10<\/td>\n<\/tr>\n
9<\/td>\n0<\/td>\n22<\/td>\n10<\/td>\n36<\/td>\n27<\/td>\n17<\/td>\n11<\/td>\n<\/tr>\n
10<\/td>\n0<\/td>\n24<\/td>\n38<\/td>\n27<\/td>\n10<\/td>\n30<\/td>\n12<\/td>\n<\/tr>\n
11<\/td>\n0<\/td>\n27<\/td>\n6<\/td>\n17<\/td>\n53<\/td>\n33<\/td>\n14<\/td>\n<\/tr>\n
12<\/td>\n0<\/td>\n29<\/td>\n34<\/td>\n8<\/td>\n36<\/td>\n36<\/td>\n15<\/td>\n<\/tr>\n
13<\/td>\n0<\/td>\n32<\/td>\n1<\/td>\n59<\/td>\n19<\/td>\n39<\/td>\n16<\/td>\n<\/tr>\n
14<\/td>\n0<\/td>\n34<\/td>\n29<\/td>\n50<\/td>\n2<\/td>\n42<\/td>\n18<\/td>\n<\/tr>\n
15<\/td>\n0<\/td>\n36<\/td>\n57<\/td>\n40<\/td>\n45<\/td>\n45<\/td>\n19<\/td>\n<\/tr>\n
16<\/td>\n0<\/td>\n39<\/td>\n25<\/td>\n31<\/td>\n28<\/td>\n48<\/td>\n20<\/td>\n<\/tr>\n
17<\/td>\n0<\/td>\n41<\/td>\n53<\/td>\n22<\/td>\n11<\/td>\n51<\/td>\n21<\/td>\n<\/tr>\n
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To help us determine where the sun is on a given date, Ptolemy sets out a table to allow us to more quickly look this up instead of needing to calculate how far around the ecliptic the sun has moved. This table is very similar to another set of tables Ptolemy would produce later: The … <\/p>\n

Continue reading “Almagest Book III: Table of the Mean Motion of the Sun”<\/span><\/a><\/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":[25,35,18],"class_list":["post-1485","post","type-post","status-publish","format-standard","hentry","category-almagest","tag-almagest","tag-ecliptic","tag-sun"],"acf":[],"jetpack_publicize_connections":[],"jetpack_featured_media_url":"","jetpack_sharing_enabled":true,"jetpack_shortlink":"https:\/\/wp.me\/p9ZpvC-nX","_links":{"self":[{"href":"https:\/\/jonvoisey.net\/blog\/wp-json\/wp\/v2\/posts\/1485","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=1485"}],"version-history":[{"count":4,"href":"https:\/\/jonvoisey.net\/blog\/wp-json\/wp\/v2\/posts\/1485\/revisions"}],"predecessor-version":[{"id":1779,"href":"https:\/\/jonvoisey.net\/blog\/wp-json\/wp\/v2\/posts\/1485\/revisions\/1779"}],"wp:attachment":[{"href":"https:\/\/jonvoisey.net\/blog\/wp-json\/wp\/v2\/media?parent=1485"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/jonvoisey.net\/blog\/wp-json\/wp\/v2\/categories?post=1485"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/jonvoisey.net\/blog\/wp-json\/wp\/v2\/tags?post=1485"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}