卷一·第六至九章　中天、上升时间、相听相望与手算朔望

VI. On the Midheaven.

第六章　论中天

The Midheaven is to be found by hand thus. Take the rising times of the clime from the setting degree up to the degree opposite it, and count off half of these from the setting degree; wherever the count falls, there the Midheaven will be. For example, let the Ascendant be at Capricorn 15° in the second clime. I took from the setting degree, Cancer 15°, up to that of Capricorn 15°: the rising times total 214; half of these is 107. Adding to these the 15 of Cancer, I counted off from the same sign; the count ended at Scorpio 2°, where the Midheaven is; and likewise for the rest. If you wish also to ascertain the magnitude of the hours of the day, always add together the rising times from the Sun's degree up to the degree opposite it, and by taking a fifteenth of these you will ascertain the magnitude. For example, suppose the setting degree set out above, Cancer 15°, to be the Sun's; up to the opposite degree, then, the rising times amount to 214. A fifteenth of these is 14, with 4 left over; the remainder is 1/5 1/15 of an hour. Let the day, then, when the Sun is in Cancer at about the 15th degree, in the clime of Syria, be of 14 1/5 1/15 hours. If you wish also to ascertain the magnitude of the night, add together the rising times from the degree opposite the Sun up to the degree the Sun occupies, and proceed in the same way; and likewise for the other signs.

中天这样用手算求得。按出生地气候带的上升时间，从下降的那一度取到它对面的那一度，把其中的一半从下降的那一度数去；数落在哪里，中天就在哪里。例如，设上升点在第二气候带的摩羯十五度。我从下降的那一度巨蟹十五度取到摩羯十五度：上升时间合计二百一十四；其一半是一百零七。在这上面加上巨蟹的十五，从同一个星座数去；数止于天蝎二度，中天就在那里；其余的也照此办理。如果你还想查明白天各小时的大小，就总是把从太阳那一度到它对面那一度的上升时间加在一起，取其十五分之一，便查明了大小。例如，设上面列出的下降度数巨蟹十五度是太阳所在；那么到对面那一度，上升时间合计二百一十四。其十五分之一是十四，余四；余数是一小时的五分之一又十五分之一。那么，太阳在巨蟹约十五度时，在叙利亚气候带，白天就有十四又五分之一又十五分之一小时。如果你还想查明黑夜的大小，就把从太阳对面那一度到太阳所在那一度的上升时间加在一起，照同样的办法做；其他星座也是如此。

VII. On the Rising Times of the Signs.

第七章　论星座的上升时间

In how many hours each sign rises must be learned from the rising time of each. For example, since Aries rises in 20, and the hour has 15 equinoctial time-degrees, if you subtract the 15 from the 20, 5 remain, which is a third part of 15. Aries, then, will rise in 1⅓ hours. How long a time each degree has power you will learn thus: double the rising time of each sign and take that six times; it makes 240; the degree is 8 months. How great an addition or subtraction of rising time each sign has is to be learned thus. Since Aries rises in 20, Libra rises in 40, to complete the 60. For in however many each sign rises, the opposite sign will occupy the complement to 60; and however many hours each takes, the opposite takes the complement to 4 hours; and however many days and months, the opposite will occupy the complement to two years. For by whatever amount each sign exceeds, the opposite sign falls short; and by whatever amount it falls short, by that amount the sign directly opposite exceeds. I subtracted, then, the least from the greatest given above, that is, 20 from 40: 20 remain. A fifth of these is 4: the addition-and-subtraction of each sign is four. If, then, we add 4 to the 20 of Aries, it makes 24: in this Taurus will rise; Gemini in 28, Cancer in 32, Leo in 36, Virgo in 40, Libra 40. Then from Scorpio onward you will likewise subtract 4, down to Pisces. So too, by inquiring clime by clime, you will ascertain them.

每个星座在几小时内升起，要从各自的上升时间得知。例如，白羊在二十内升起，而一小时有十五个赤道时度，从二十中减去十五，余五，是十五的三分之一。所以白羊在一又三分之一小时内升起。每一度有多长时间的效力，可以这样得知：把每个星座的上升时间加倍，再取六倍；得二百四十；一度是八个月。每个星座的上升时间有多大的加或减，要这样得知。白羊既在二十内升起，天秤就在四十内升起，以补足六十。因为每个星座在多少内升起，对面的星座就占补足六十所需的数；每个星座占几小时，对面的就占补足四小时所需的数；占几日几月，对面的就占补足两年所需的数。因为每个星座多出多少，对面的星座就短少多少；短少多少，正对面的星座就多出多少。于是我从上面给出的最大数中减去最小数，即从四十中减去二十：余二十。其五分之一是四：每个星座的加减之数是四。所以如果我们在白羊的二十上加四，得二十四：金牛就在这个数内升起；双子在二十八，巨蟹在三十二，狮子在三十六，处女在四十，天秤四十。然后从天蝎起，你同样逐座减四，直到双鱼。逐个气候带探求，你也能这样查明。

Another way. Let Leo rise in 36, and Scorpio likewise, and Taurus and Aquarius in 24: 12 remain, of which a third is 4: this is the addition-and-subtraction. So too, by inquiring clime by clime, you will ascertain them. The difference between the climes and their increase is learned thus. Since in the first clime the rising times from Cancer to Sagittarius total 210, a sixth of this is 35: in this Leo will rise. And likewise, following the procedure set out above, if you subtract the 25 of Aquarius and take a third of the remainder, you will ascertain the rising times of the signs. Since, then, there are seven climes, and in the seventh the rising times from Cancer total 234, if we subtract from these the 210 of the first clime, 24 of excess will remain; a sixth of these, since there are 6 climes in between, is 4. This is the increase of each clime for the construction of the table of rising times; so that in the first clime the rising times from Cancer to Sagittarius are 210, in the 2nd clime 214, in the 3rd 218, in the fourth 222, in the fifth 226, in the 6th 230, in the 7th 234.

另一法。设狮子在三十六内升起，天蝎也一样，金牛与水瓶在二十四：余十二，其三分之一是四：这就是加减之数。逐个气候带探求，你也能这样查明。各气候带之间的差别与递增，要这样得知。在第一气候带，从巨蟹到射手的上升时间合计二百一十，其六分之一是三十五：狮子就在这个数内升起。同样，照上面列出的步骤，减去水瓶的二十五，取余数的三分之一，你就能查明各星座的上升时间。既然气候带有七个，在第七气候带从巨蟹起的上升时间合计二百三十四，我们从中减去第一气候带的二百一十，余下二十四的超出；其六分之一是四，因为中间有六个气候带。这就是编制上升时间表时每个气候带的递增；所以从巨蟹到射手的上升时间，第一气候带是二百一十，第二气候带二百一十四，第三二百一十八，第四二百二十二，第五二百二十六，第六二百三十，第七二百三十四。

VIII. On Hearing and Seeing Signs.

第八章　论相听与相望的星座

Likewise, concerning sextile signs that hear and see one another, one must learn from the rising times, for example thus. Pisces sees Taurus: from Pisces, the rising times of six signs in the second clime amount to 160, and from Taurus to Libra to 200; Pisces has turned out less than Taurus and hears it; and the rising times of the two together complete the 360. Likewise, from Gemini to Scorpio is 212, and from Leo to Capricorn 212; Gemini and Leo, then, are of equal rising and hear one another. Again, from Virgo to Aquarius is 200, and from Scorpio to Aries 160: they see. From Libra to Pisces is 180, from Sagittarius to Taurus 148, from Aquarius to Cancer 148: they hear and are of equal rising. So too for the rest. Some reckon the sympathy of sextiles thus: adding together the rising times of the two signs and taking half of these, they examine whether the sign between them rises in that amount. For example, Aries 20, Gemini 28: it makes 48, of which half is 24; in this Taurus rises. Therefore Aries will have sympathy with Gemini; likewise Taurus with Cancer, since the rising times of the two make 56, of which half is 28; in this Gemini rises; and likewise Gemini with Leo, and Cancer with Virgo. But Leo does not have it with Libra, because the total comes to 78 [sic], of which half is 39, whereas Virgo rises in 40. Likewise for the rest.

同样，关于彼此相听、相望的六分星座，也必须从上升时间得知，例如这样。双鱼望见金牛：在第二气候带，从双鱼起六个星座的上升时间合计一百六十，从金牛到天秤是二百；双鱼比金牛少，于是听见它；两者的上升时间合起来补足三百六十。同样，从双子到天蝎是二百一十二，从狮子到摩羯也是二百一十二；所以双子与狮子上升相等，彼此相听。又，从处女到水瓶是二百，从天蝎到白羊是一百六十：它们相望。从天秤到双鱼是一百八十，从射手到金牛是一百四十八，从水瓶到巨蟹是一百四十八：它们相听，而且上升相等。其余的也是如此。有些人这样推算六分星座的感应：把两个星座的上升时间相加，取其一半，看夹在中间的那个星座是否在这个数内升起。例如，白羊二十，双子二十八：合四十八，其一半是二十四；金牛就在这个数内升起。所以白羊与双子有感应；同样金牛与巨蟹也有，因为两者的上升时间合五十六，其一半是二十八；双子就在这个数内升起；同样双子与狮子、巨蟹与处女也有。但狮子与天秤就没有，因为合计得七十八〔原书如此〕，其一半是三十九，而处女在四十内升起。其余的也是如此。

IX. Conjunctions and Full Moons by Hand.

第九章　手算合朔与望月

To find the conjunction and the full moon by hand. Taking the distance from the Sun's degree to the Moon's degree, and ascertaining how many dodecatemories it is, run back that many from the Sun's degree, and there you will find the conjunction. And the Moon will be as many degrees from the conjunction as the number of dodecatemories found. For full-moon nativities, take the distance from the degree opposite the Sun to the Moon, and having ascertained how many dodecatemories it is, subtract them from the degree opposite the Sun; and there the full moon will be. If you add 15 to the full-moon degree, you will find the coming conjunction. Likewise, if you add 15 to the conjunctional degree, you will find the coming full moon.

手算求合朔与望月。取从太阳那一度到月亮那一度的距离，查明是多少个十二分部，就从太阳那一度往回数这么多，在那里就找到合朔。月亮离合朔的度数，也就是找到的十二分部的个数。望月之命，取从太阳对面那一度到月亮的距离，查明是多少个十二分部，从太阳对面那一度减去；望月就在那里。如果在望月的度数上加十五，就找到下一次合朔。同样，如果在合朔的度数上加十五，就找到下一次望月。

For example: Mesori 2, the Sun at Leo 5°, the Moon at Libra 26°; the interval from the Sun to the Moon amounts to 81, which is very nearly 7 dodecatemories. The Moon, then, will be on the seventh day from the conjunction. Again, I counted the seven back from the Sun's degree; the count ended at Cancer 28°; there the conjunction took place. And from the second of Mesori I counted the 7 back: it comes to Epiphi 25. If, then, we add 15 to the 28 of Cancer, it comes to Leo 13. The full moon, then, will be at Leo 13°.

例如：梅索里月二日，太阳在狮子五度，月亮在天秤二十六度；从太阳到月亮的距离是八十一，非常接近七个十二分部。所以月亮在合朔后的第七日。我又从太阳那一度往回数七；数止于巨蟹二十八度；合朔就发生在那里。我又从梅索里月二日往回数七：得埃皮菲月二十五日。那么，如果我们在巨蟹的二十八上加十五，就到狮子十三。所以望月将在狮子十三度。

The full moon thus: let it be Mechir 13, the Sun at Aquarius 22°, the Moon at Scorpio 7°. I took from the degree opposite the Sun, Leo 22°, up to the Moon's degree: it amounts to 75. These, then, are 6 dodecatemories, which I subtract from the 22nd degree of Leo: 16 remain, at which the full moon took place. Again, I subtracted the 6 from the 13th of Mechir: it comes to Mechir 7. Likewise, since there are 15 days from conjunction to full moon, I added to these the 6: it makes 21 [corrected: Kroll prints 8]. So many days will the Moon be distant from the conjunction.

望月这样求：设为梅希尔月十三日，太阳在水瓶二十二度，月亮在天蝎七度。我从太阳对面那一度狮子二十二度取到月亮那一度：合计七十五。这就是六个十二分部，我从狮子的第二十二度减去它们：余十六，望月就发生在那里。我又从梅希尔月十三日减去六：得梅希尔月七日。同样，既然从合朔到望月有十五日，我在这上面加上六：得二十一〔据算改正：Kroll 本作八〕。月亮离合朔就有这么多日。