手把手教你如何手工排高深的弧角天星盘（芮氏分宫制）？--纯技术内涵贴
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出师表 翻译
陈炳聿按：计算宫度首先知道1o=60'=3600''。后面英文文献来自于“An Astrological Hou Formulary”里面关于芮氏分宫制演算部分。
清朝西洋传教士带入中国的弧角天星择日使用的其实是西占系统，如《天步真原》里面的内容，它是一种芮吉欧蒙塔那司宫位制（Regiomontanus Hou System）又称为芮氏分宫制，是十五世纪的德国数学家兼天文学家约翰穆勒（拉丁文名字是Regiomonta-nus）所创。这种分宫制的计算方式，是以天球赤道与东方地平线的交汇为起点，在赤道上均分12点，然后再将点以南北极平于赤道为轴心，投射到黄道上而确立十二宫的位置。虽然这种方式是从坎式分宫制演变而来，而一直到普拉西度分宫制出现后才被取代。但是其对宫位精巧的构思，使得许多占星家在进行时辰占卜占星术时也坚持使用。
The celestial equator circle is cut at thirty degree intervals starting at the Aries point, and the points are projected onto the ecliptic using hou circles. This is similar to the Placidi
xlneekoan hou system, but without the complicated adjustment algorithm required by that method.
agrarian天球赤道圈从白羊座开始每隔30度进行切分，这些点再投射到黄道上形成宫位圈。这类似于普拉西度分宫制，但没有复杂的调整算法所需的方法。
CALCULATION CONVENTIONS 计算规则
早饭的英文The following standard abbreviations are ud in the mathematics which follow:
数学计算中使用下列标准缩写:
e reprents the obliquity of the ecliptic
e代表黄赤交角
f reprents the terrestrial latitude
f代表地球纬度
ASC is the ascendant
ASC代表上升点
MC is the MC
MC代表天顶
RAMC is the Right Ascension of the MC
RAMC代表上中天的赤经
孟晚舟卖给伊朗什么了
F, G, J, K, and L are working terms, unimportant astronomically 就去xx
F,G,J,K和L代表计算时的术语，在天文学上不是特别重要
+. -, x (or, *), ÷, = reprent their normal arithmetic functions
加减乘除代表数学运算法则
SIN, COS, TAN, COT, etc. reprent the trigonometric functions
SIN, COS, TAN, COT, 等等代表的是相应的三角函数，这四个是正弦，余弦，正切、余切
For calculator purpos: COT = (1 ÷ TAN ) and vice-versa, etc.
用于计算的目的：余切=（1除以正切），反之亦然，其他略。
ARCSIN, ARCCOS, ARCTAN, etc. reprent the trig invers
yongleARCSIN, ARCCOS, ARCTAN等等代表它们的反三角函数。
H11, etc. stands for the offt to compute the cusp of hou eleven, etc.
tightsH11代表计算第11宫宫头的偏移量，其他类似
C11, etc. stands for the value of the cusp of hou eleven, etc.
C11代表第11宫宫头的值，其他略
Standard computer notation parenthesis nesting conventions are ud throughout the formulations. That is, three left parenthesis must be balanced by three right parenthesis.
Calculations are always performed within the inner parenthesis first, and then outward to the outer parenthesis. Persons attempting the mathematics herein should refer to reasonable reference books if they are unfamiliar with trigonometric procedures. Particularly, the process of adjusting hou cusp calculations for the correct trigonometric quadrant can be somewhat tricky if not performed with care. Hou cusps which are over 360o or under 0o should be converted to lie between 0o and 360o . That is, if you compute a hou cusp as being 372o then this should be changed to 12 Aries. Add 360o to any negative values or results. Hou cusps with values between 0o and 29.99o lie in Aries; between 30o and 59.99o in Taurus; between 60o and 89.99o degrees in Gemini, and so forth around the zodiac and through the signs.
标准的计算符号括号嵌套在公式使用过程中有约定的规则。那就是说，三个左括号必须要三个右括号来平衡。计算的时候，内括号总是被首先执行，然后向外计算到外括号。任何人尝试算法，如果他们对于三角函数不是特别熟悉的话，应该参考一些合适的参考书。特别是在校准宫头的过程要计算正确的三角象限会有点棘手，假如不仔细演算的话。宫头数值超过360度或者小于0度应该转化为0度到360度之间。也就是说，如果你计算出来一个宫
头的数值是372度，那么就应当改为白羊座12度。任何负值应当加上360度。宫头数值在0~29.99度之间位于白羊座，30~59.99度位于金牛座，60~89.99度位于双子座，其他黄道十二宫类推。
PRELIMINARY CALCULATIONS AND THE PERSONAL SENSITIVE POINTS 初步计算和个人敏感点贪睡母女猫
1.The RAMC (the right ascension of the midheaven) is computed from Local Sidereal Time (LST) by converting time units to degree units. An example of this calculation follows:
上中天赤经是从地方恒星时计算得出的，通过转化时间单位为度数单位。下面是计算的例子：
Given an LST of 12H 15M 00S, then first convert this to a decimal form of time, or 12.25 hours. 12.25 x 15 = 183.75o which is the RAMC.
给定一个当地恒星时间：12时15分0秒，首先把它转化为时间的小数形式，或12.25时(这
个应该没问题吧，15/60=0.25)，12.25*15=183.75度就是上中天的赤经度数。
Given an LST of 6H 27M 14S, then convert this to a decimal form of time, or 6.453889 hours. 6.453889 x 15 = 96.808333o .
给定一个当地恒星时间：6时27分14秒，首先把它转化为时间的小数形式，或6.453889，那么6.453889 x 15 = 96.808333度就是上中天的赤经度数。
2. MC = ARCTAN ( TAN (RAMC) ÷ COS e )
MC：Medium Coeli，天顶位置，也就是10宫的宫头。等于上中天赤经度数的正切除黄赤交角余弦数值的反余切值。
3. ASC = ARCCOT (- ( (TAN f x SIN e) + (SIN RAMC x COS e) ) ÷ COS RAMC)
4. EQA = ARCCOT ( - ( TAN RAMC x COS e) )
5. VTX = ARCCOT (- ( (COT f x SIN e) - (SIN RAMC x COS e) ) ÷ COS RAMC)
6. CAS = ARCCOT (- ( (COT f x SIN e) + (SIN RAMC x COS e) ) ÷ COS RAMC)
7. PAS = ARCCOT ( ( (TAN f x SIN e) - (SIN RAMC x COS e) ) ÷ COS RAMC)
8. ARI The Aries Point is always zero of Aries.operations
陈炳聿按：查了文献，真不好找，终于找到这些词汇的对应英文全称。前面两个没有问题：MC：Medium Coeli天顶, ASC: the ascendant上升点; EQA: the equatorial ascendant赤道上升点（popularly but incorrectly, called'the east point'东升点）; VTX：the vertex宿命点; CAS: the co-ascendant 偕升点; PAS: the polar ascendant 极圈上升点; ARI The Aries Point 白羊点，还有包括月亮交点 the Moon's Node，包括北交点计都、南交点罗睺合称为the personal nsitive points。
