古代附录（一）　为两个仪表求上升度数；两例与参见

ANCIENT ADDITIONS

古代附录

On the Length of Life, for the Instruments of the 12th Chapter. The Construction of the Ascendant Degree for the 2 Instruments of Valens in the 12th Chapter.

论生命的时期，用于第十二章诸仪表中的内容。为瓦伦斯第十二章中的两个仪表构造上升度数。

Before all else, having fixed the solar degree precisely, one will need to examine the preceding conjunction or full moon; and taking the interval from the conjunctional or full-moon day and hour, see how many days and hours there are, and see what fraction it is of the 15 days from conjunction to full moon or from full moon to conjunction; and having made the fraction, write it down separately, and inquire whether this fraction is to be added to or subtracted from the first hour. One must always take the interval from the solar degree to the lunar degree, in the order of the signs, by the rising times of one's own clime, and write down the collected number of degrees as the solar gnomon; then, entering again the rising times of one's own clime, examine the hourly time-degrees of the solar degree by day, and by night those of the degree opposite, and multiply these by 12, and multiply the resulting number again by the hours of birth; and if the number exceeds, subtract a circle of 360 degrees and examine whether the remainder coincides with the solar gnomon. If it is found so, the given hour will be in agreement, and one should use it. If the Ascendant gnomon exceeds the solar gnomon, the hour has a subtraction as great as the fraction of the hourly time-degrees of the Sun that results from the interval from the conjunction or full moon to the day and hour of birth, that is, the resulting fraction of the 15 degrees.

在一切之前，把太阳的度数精确定好之后，就需要查看前一次的合朔或望月；取从合朔或望月的日与时起的间隔，看有多少日与时，看它是从合朔到望月或从望月到合朔的十五日的几分之几；作出这个分数后，把它另外写下，并探究这个分数是要加到第一个时辰上，还是从中减去。必须总是按星座的次序、按自己气候带的上升时间，取从太阳的度数到月亮的度数的间隔，把收集到的度数写下作为太阳晷针；然后再进入自己气候带的上升时间，查看白天太阳度数的、夜里则对面度数的时辰时度，把它们乘以十二，再把所得之数乘以出生的时辰；若这个数超过，就减去一圈三百六十度，查看余数是否与太阳晷针相合。若发现如此，所给的时辰就是相合的，应当使用它。若上升晷针超过太阳晷针，时辰就有一个减数，大小等于太阳的时辰时度的那个分数，这个分数是由从合朔或望月到出生的日与时的间隔得出的，也就是十五度所得的分数。

For example, someone was born at the 3rd hour of the day, and the interval from the conjunction or full moon to the day and hour of birth was 5 days, which is a third of the 15 days; and the hourly time-degrees of the Sun were found to be 16; you subtract a third of these, which makes 5⅓; you then reckon 2 hours, and so you will calculate the Ascendant. If the solar gnomon exceeds, the hour has an addition, and you then reckon hours 3 1/3, and so you calculate the Ascendant according to the hourly time-degrees and the rising time. Otherwise. Having reckoned the interval from the conjunction to the Moon, or that from the full moon to the Moon, if it is within 180 degrees, multiply it twelvefold and see what fraction it is of the 15 days; if it is found to be beyond 180 degrees, subtract the 180 degrees and compare the remainder, to see what fraction it is of the Moon's course, and cast this out of the hourly magnitude.

例如，某人生在白天第三小时，从合朔或望月到出生的日与时的间隔是五日，即十五日的三分之一；太阳的时辰时度被发现是十六；你减去其中的三分之一，得五又三分之一；于是你算作二小时，这样你就会算出上升。若太阳晷针超过，时辰就有一个加数，你就算作三又三分之一小时，这样按时辰时度与上升时间算出上升。另法。算出从合朔到月亮的间隔，或从望月到月亮的间隔之后，若它在一百八十度之内，就把它乘以十二，看它是十五日的几分之几；若发现它超过一百八十度，就减去一百八十度，比较余数，看它是月亮行程的几分之几，把这个从时辰的大小中去掉。

Example 2. Year 147 of Diocletian, Tybi 14 into the 15th, the 3rd hour of the night, clime 4. The Sun in Capricorn 19°2', the Moon in Taurus 23°30', the conjunction in Capricorn 9°29'. Tybi 14 into the 15th: from the conjunction to the day and hour of birth there are 10 days, that is, two-thirds of 1 hour. I seek how many rising times there are from the Sun to the Moon in the 4th clime, and I found 6 time-degrees; these 6 time-degrees I wrote down as the solar gnomon. Then, taking again the hourly time-degrees of the degree opposite the solar degree, since the nativity is nocturnal, I found at degree 19 of Cancer hourly time-degrees 17 53; multiplying these by twelve, I found 215 time-degrees; these 215 time-degrees I multiplied by the 3 hours of birth, and they come to 645 time-degrees. Subtract a circle, that is, 360; there remain 285 time-degrees; this I write down as the Ascendant gnomon. Since, then, the Ascendant gnomon exceeds the solar gnomon, the 3rd hour of the delivery has a subtraction. Subtract, then, two-thirds of one hour, because the Moon was 10 days distant from the conjunction up to the day and hour of birth, and no longer reckon 3 hours of the night, but hours 2 1/3. You do it, then, thus. The Sun in Capricorn 19°2'; the hourly time-degrees of Cancer, because the nativity is nocturnal, 17 55; you multiply by the hours 2 1/3, and they come to 41 48 time-degrees; add also the rising time of Cancer, 93 7; together they come to 134 55 time-degrees. These I bring into the 4th clime and find the Ascendant at Leo, degree 23°0'. These 23 degrees I brought into the instrument of Leo, and there was found set beside them the fraction 22 of sixty, which makes 1/3 1/30, and years 73, months 11. Seeking, then, the proportionate amount as well, I did it thus. The Ascendant at Leo, degree 23, hourly time-degrees 16 45; these I multiplied by 12, they come to 201; these I multiply by 1/3 1/30: the 1/3 makes 67 years, and the 1/30 makes 6 2/3 1/30 years; together they make 73 2/3 1/30 years.

例二。戴克里先一百四十七年，提比月十四日入十五日，夜里第三小时，第四气候带。太阳在摩羯十九度二分，月亮在金牛二十三度三十分，合朔在摩羯九度二十九分。提比月十四日入十五日：从合朔到出生的日与时有十日，即一小时的三分之二。我查在第四气候带从太阳到月亮有多少上升时间，找到六时度；这六时度我写下作为太阳晷针。然后，因为本命在夜里，再取太阳度数对面那一度的时辰时度，我在巨蟹第十九度找到时辰时度十七、五十三；乘以十二，我得二百一十五时度；这二百一十五时度我乘以出生的三个小时，合六百四十五时度。减去一圈，即三百六十；余二百八十五时度；这个我写下作为上升晷针。所以，既然上升晷针超过太阳晷针，分娩的第三小时就有一个减数。所以减去一小时的三分之二，因为月亮到出生的日与时距合朔十日，不再算夜里三小时，而算二又三分之一小时。所以你这样做。太阳在摩羯十九度二分；巨蟹的时辰时度，因为本命在夜里，是十七、五十五；你乘以二又三分之一小时，合四十一、四十八时度；再加上巨蟹的上升时间九十三、七；合起来一百三十四、五十五时度。这些我带进第四气候带，发现上升在狮子第二十三度零分。这二十三度我带进狮子的仪表，发现旁边列着分数六十分之二十二，即三分之一又三十分之一，以及七十三年十一个月。于是我也寻求相应的量，这样做。上升在狮子第二十三度，时辰时度十六、四十五；我把这些乘以十二，合二百零一；我把这些乘以三分之一又三十分之一：三分之一得六十七年，三十分之一得六又三分之二又三十分之一年；合起来是七十三又三分之二又三十分之一年。

Another, example 3. Of the emperor Valentinian, the clime through Spain; he was slain aged 36, in year 135 of Diocletian; Epiphi 8, beginning of the 1st hour. The Sun in Cancer 7°11', the Moon in Aries 22°30', the Ascendant in Cancer 7°20'; the full moon in Gemini 28°40', the 7th hour of the day, Payni 29. From the full moon to the day of birth there are 7½ days, which makes ½ as a fraction of the 15; since, then, the solar gnomon exceeds the Ascendant gnomon, I add this ½ fraction to the 1st hour that is beginning, and I do it thus. The hourly time-degrees of the Sun 18 5, half of these makes 9, and the rising times of the Sun 79 7 [corrected: Kroll prints 75 7]; together they make 88 time-degrees; these I brought into the instrument and found the Ascendant at about Cancer 14. These 14 time-degrees I brought into the instrument and found 34 time-degrees and 10 months, with 10 set beside them, which makes a sixth of sixty. Taking, then, the hourly time-degrees of degree 14 of Cancer, I found 18 0; multiplying these twelvefold I found 216 0 time-degrees; a sixth of these makes 36 time-degrees, which he lived.

另一例，例三。关于瓦伦提尼安皇帝的，经过西班牙的气候带；他在三十六岁时被杀，在戴克里先一百三十五年；埃皮菲月八日，第一小时之初。太阳在巨蟹七度十一分，月亮在白羊二十二度三十分，上升在巨蟹七度二十分；望月在双子二十八度四十分，白天第七小时，帕尼月二十九日。从望月到出生之日有七日半，作为十五的分数是二分之一；所以，既然太阳晷针超过上升晷针，我就把这个二分之一的分数加到正在开始的第一小时上，这样做。太阳的时辰时度十八、五，其一半得九，太阳的上升时间七十九、七〔据算改正：Kroll 本作七十五、七〕；合起来得八十八时度；这些我带进仪表，发现上升约在巨蟹十四。这十四时度我带进仪表，发现三十四时度又十个月，旁边列着十，即六十的六分之一。于是取巨蟹第十四度的时辰时度，我找到十八、零；把这些乘以十二，我得二百一十六、零时度；其六分之一得三十六时度，他活了这么多。

On Conjunction: see Hephaestion III 10.

论合朔：见赫淮斯提翁卷三第十章。

On Separations: see Hephaestion III 11.

论离相：见赫淮斯提翁卷三第十一章。

The Further Transmissions of the Planets. Compare Valens IV, chapters 18–25.

诸行星的进一步交付。参瓦伦斯卷四第十八至二十五章。

The Transmission of the Periods of the Planets, 2: compare Catalogus V 2, pp. 52, 120, 155. At the end: End of the 2nd book of Valens.

诸行星时期的交付，二：参《目录》第五册第二分册，第五十二、一百二十、一百五十五页。末尾：瓦伦斯第二书终。