이 책은 《역상고성후편(曆象考成後編)》(1742)에서 태양의 운동을 기술한 제1권 〈일전수리(日?數理)〉, 제4권 중의 〈일전보법(日?步法)〉, 제7권 〈일전표(日?表)〉를 정리한 것이다. 《역상고성후편》은 두 번째 시헌력법서(時憲曆法書)인 《역상고성(曆象考成)》(1722)에서 일?월식 예보의 정확도를 개선하기 위하여 케플러(Johannes Kepler, 각백이刻白爾, 개보륵開普勒, 1571~1630)의 타원 궤도를 채용하고 옹정 계묘년(1723)을 역원으로 삼아 태양, 달, 일?월식편을 새로 쓴 세 번째 시헌력법서이다.
Contents
책머리에 ···············································································································3
《역상고성후편曆象考成後編》의 조선 도입 ····························································19
제1부 《역상고성후편(曆象考成後編)》 제1권 〈일전수리(日?數理)〉···············29
제1장 태양 운행에 관한 총론
[일전총론(日?總論)] ·····························································································31
제2장 회귀년의 길이
[세실(歲實)] ········································································································38
제3장 황도와 적도가 남북으로 떨어진 거리
[황적거위(黃赤距緯)] ···························································································46
제4장 대기 굴절로 인한 시차(視差)
[청몽기차(淸蒙氣差)] ····························································································57
제5장 지구 반경으로 인한 시차(視差)
[지반경차(地半徑差)] ····························································································85
제6장 타원의 면적을 이용하여 평균운행 나타내기
[용타원면적위평행(用?圓面積爲平行)] ······························································118
제7장 양심차 및 타원과 원의 비(比) 구하기
[구양심차급타원여평원지비례(求兩心差及?圓與平圓之比例)] ·························145
제8장 타원에서 장반경과 단반경의 비례중항 구하기
[구타원대소경지중률(求?圓大小徑之中率)] ·······················································174
제9장 타원에서 각도와 면적을 서로 구하기
[타원각도여면적상구(?圓角度與面積相求)] ·······················································190
제10장 영축차 구하기
[구균수(求均數)] ································································································339
제2부 《역상고성후편(曆象考成後編)》 제4권 〈일전보법(日?步法)〉·············363
제1장 태양의 위치 계산에 사용하는 천문 상수
[추일전용수(推日?用數)] ····················································································365
제2장 태양의 위치 계산법
[추일전법(推日?法)] ···························································································376