第三部·第三十七至三十八则　逆向推运与推向西方的增减

CANON XXXVII.

第三十七则。

To direct any Significator whatever, in a converse Motion, to all the Aspects made in the World.

任何征象星以逆向运动向世界上所成一切相位的推运。

If you have rightly understood all the Canons in this third part, this likewise before you will be found very easy; for it contains nothing more than what we have said in this third part, with this difference only, that in a different manner, not the promittor, but the significator, remaining immoveable under the primum mobile, is carried to the place of position of the promittor, to their rays, which continue immoveable in a mundane situation; therefore the rules given, concerning the significator, are to be understood of the promittor; and on the contrary, those giving relative to the promittor, are to be understood of the significator; for which reason, there is an alteration in the order of numbers of the Golden Rule; so that is the first place the horary times of the promittor are to be taken, and be placed in the second its distance from the angles or houses; in the third the horary times of the significator, and the fourth number, will be the secondary distance of that significator, which is to be compared with the primary distance of the same from the cardinals or houses, in the manner explained, relating to the promittor in Canon XIX.

若你正确理解了第三部的所有规则，这一则你也会觉得很容易；因为它所包含的不过是我们在第三部所说的，只有这一点不同：以另一种方式，不是允诺星，而是征象星在第一原动天之下保持不动，被带到允诺星的位置之处，以及它们的光线之处，这些在世界上的处境中保持不动；所以关于征象星所给的规则，要理解为关于允诺星的；反之，关于允诺星的，要理解为关于征象星的；因此黄金法则中数的次序有所改变；即第一位要取允诺星的时量，第二位放它离诸角或诸宫的距离；第三位放征象星的时量，第四个数就是那颗征象星的次距，要与它离诸角或诸宫的初距相比较，方法如第十九则中关于允诺星所解释的。

There are more examples afterwards, together with their effects. The angles are not directed in a converse motion, for they have none to the preceding places.

后面还有更多例子，连同它们的效应。四角不作逆向推运，因为它们没有向前导位置的运动。

CANON XXXVIII.

第三十八则。

To direct the Significator to the West, with the Addition and Substraction of the Parts which is formed from the interjacent Rays or Stars, according to the Precepts of Ptolemy.

按照托勒密的教导，把征象星推向西方，并加减由居间的光线或星辰所成的部分。

By the oblique descension or ascension of places opposite to the horizon of the country, direct the significator to the west, not omitting his latitude, if it has any; mean while, you must consider what stars or mundane rays are intercepted between the significator and the west, which you will know from the direction of stars or rays to the west; for those that arrived first, that is, by a less arc of direction than that of the significator to the west, are interposited; but those that follow by a greater arc of direction, are not interjacent, and you must observe their arc of direction, whether of the stars or rays to the west.

借本地地平对面诸点的斜降或斜升，把征象星推向西方，若它有纬度，不可忽略；同时，你必须考虑在征象星与西方之间截住了哪些星或世界上的光线，这可从星或光线向西方的推运得知；因为先到的，即推运弧小于征象星到西方的推运弧的，是居间的；但以较大推运弧随后到的，不是居间的；你必须记下它们的推运弧，无论是星的还是光线到西方的。

Then of every one of the planets, which either lie between or interpose the rays, take the conditionary arc, the horary times to the hemisphere, wherein the stars, and not the rays, may be; for it is thus, as the nocturnal from the night, and diurnal from the day, as Ptolemy informs us. Lastly, say, by the Golden Rule, if the whole conditionary arc of a star give us all the horary times, how many will a star or ray arc of direction to the west give?

然后，对每一颗居间的或其光线居间的行星，取其所属之弧，即星（而非光线）所在半球的时量；因为正如托勒密告诉我们的，夜的取自夜，昼的取自昼。最后按黄金法则说：若一颗星整个的所属之弧给出全部时量，那颗星或光线向西方的推运弧将给出多少？

Multiply the second and third, and divide by the first; add the remainder, if treating of the fortunate; but if of the unfortunate, substract it from the significator's arc of direction to the west, and it will give the arc of direction more or less, according to Ptolemy, which should be equated in the usual manner. Suppose the example be in Cardinal Dominic Gymnaseus, the Sun's arc of direction to the west is 75.56; ♃ is interjacent, whose semi-diurnal arc is 113.24; horary times 18.53, his arc of direction to the west is 61.28.

把第二个数与第三个数相乘，除以第一个数；若讲的是吉星，就加上所得；若是凶星，就从征象星向西方的推运弧中减去，就得出按托勒密的方法增减后的推运弧，要照常换算。设例子在多米尼克·吉纳西枢机的本命中，太阳向西方的推运弧是七十五度五十六分；木星居间，其半昼弧一百一十三度二十四分；时量十八度五十三分，他向西方的推运弧是六十一度二十八分。

I then require if the whole diurnal arc of ♃, 226.48, give his horary times 18.53, how many will the arc of direction 61.28 give? The answer is, 5.〔?〕 Venus interposes the Sextile; the right ascension of ♀ is 160.46; which, substracted from the right ascension of the medium cœli, makes the distance of ♀ from thence 0° 19', which, substracted from the duplicate horary times of ♀ 33.14, there remains the arc of direction of ♀ to the ⚹ of the west 32.55.

我于是问：若木星整个昼弧二百二十六度四十八分给出他的时量十八度五十三分，推运弧六十一度二十八分将给出多少？答案是五度〔？〕。金星以六分居间；金星的赤经是一百六十度四十六分；从中天的赤经中减去它，得金星离中天的距离零度十九分，从金星的双倍时量三十三度十四分中减去它，余下金星的六分到西方的推运弧三十二度五十五分。

If therefore the whole diurnal arc of ♀, which is 199.36, gives the horary times 16.37, how many will the arc of direction 32.55 give? and I receive for answer, 2.45. Venus likewise interposes the quintile. I compute the four horary times of ♀, and makes 66.28; the fifth part of which is 13.18;

所以，若金星整个昼弧一百九十九度三十六分给出时量十六度三十七分，推运弧三十二度五十五分将给出多少？我得到答案二度四十五分。金星也以五分居间。我算出金星的四个时量，得六十六度二十八分；其五分之一是十三度十八分；

I substract this from the ⚹'s arc of direction, and there remains the arc of direction of the quintile of ♀ to the west 19.37; from these, in the fourth place, are had 1.38, all which make 9.24 of the fortunate to be added; so that the Sun's arc of direction to the west is augmented to 85.20. Mars interposes the □, whose arc of direction, through the right ascension of the medium cœli, is 7.57; if therefore the whole diurnal arc of Mars, which makes his horary times 15.15, the direction's arc 7.57, will make 0° 40'.

我从六分的推运弧中减去它，余下金星的五分到西方的推运弧十九度三十七分；由此，在第四位得出一度三十八分，这些合计是吉星的九度二十四分，要加上；于是太阳到西方的推运弧增加到八十五度二十分。火星以四分居间，他借中天赤经所得的推运弧是七度五十七分；所以，若火星的整个昼弧，使他的时量为十五度十五分，推运弧七度五十七分将得出零度四十分。

Saturn interposes the sesqui-quadrate; his distance from the imum cœli, is 18 13, which I substract from his duplicate horary times, which are 35.24, and there remains his distance from the third house, 17 11; to this I add his horary times, and I make the arc of direction of the sesqui-quadrate of ♄ to the west 34.53.

土星以倍半四分居间；他离天底的距离是十八度十三分，我从他的双倍时量三十五度二十四分中减去它，余下他离第三宫的距离十七度十一分；在其上加他的时量，得土星的倍半四分到西方的推运弧三十四度五十三分。

If therefore, the whole noctrnal arc of ♄ 212.14, gives his horary times 17.42, the arc of direction 85.20, and there remains the true arc of direction 81 46, calculated according to Ptolemy's method, which shews the years the native has lived, as you may see afterwards in its proper place. That you may not look upon what we have said as a dream, and therefore to be rejected, see the example of Urban VIII. In the Philosophy of the Heavens, you may likewise do the same in the example of Leonora Ursina, Duchess of Sfortia.

所以，若土星整个夜弧二百一十二度十四分给出他的时量十七度四十二分，推运弧八十五度二十分，余下按托勒密方法算出的真正推运弧八十一度四十六分，这表明本命者所活的年数，你以后会在其适当之处看到。为了你不把我们所说的当作梦话而予以拒斥，请看乌尔班八世的例子。在《天的哲学》中，你也可以在斯福尔扎公爵夫人莱奥诺拉·奥尔西尼的例子中照样做。

But how largely and differently authors have spoken of this direction of the significator to the west, putting various constructions on the words of Ptolemy, is known to every one. See Cardan in his Commentaries, Maginus in his Primum Mobile, and the Use of Legal Astrology in Physic, chap. viii. where he delivers the sentiments of Naiboda.

但诸作者对征象星向西方的这种推运说得何等繁多而分歧，对托勒密的话作了种种解释，这是人人都知道的。请看卡丹的《评注》、马吉尼的《第一原动天》，以及《合法星占在医学中的运用》第八章，他在那里转述了奈博达的意见。

I add, it is worthy of remark, and altogether conformable to truth; because, when the rays and intermediate stars of the malign only lessen the arc of direction to the west, and do not destroy life; when by a right direction, the moderator of life does not remain at the same time with the malignant planet; for should this happen, they kill, without any manner of doubt, as in Salviatis, and several other examples.

我还要补充，这是值得注意的，也完全合乎真理：当凶星的光线与居间之星只是减少向西方的推运弧，而并不毁灭生命时，即在正向推运中，生命的主管者并不同时与凶星相遇；因为若发生这种情况，它们就毫无疑问地致死，如在萨尔维亚蒂枢机及其他几个例子中。