第三部·第三十三至三十四则　任何征象星的五分诸相与本身光线

CANON XXXIII.

第三十三则。

To direct any Significator, wherever posited, to the Quintile, Sesqui-quadrate, or Biquintile.

任何征象星，无论位于何处，向五分、倍半四分或倍五分的推运。

The method is nearly the same as that explained in Canon XXIX. for when any direction is known, whether it be of the sextile or quartile, trine, or opposition, from only adding or substracting the proportional part, whereby the rays of the quintile, sesqui-quadrate, and biquintile, either exceed, or are less than other rays, is produced the arc of direction; as in the example of Cardinal Salviatis; the ☽'s arc of direction to the △ of ♃ is 45 48.

方法与第二十九则所讲的几乎相同：因为任何推运，无论是六分、四分、三分还是对冲的，一旦已知，只要加上或减去五分、倍半四分与倍五分光线超出或少于其他光线的那个比例部分，就得出推运弧；例如在萨尔维亚蒂枢机的例子中，月亮向木星三分的推运弧是四十五度四十八分。

If we add the nocturnal horary times of ♃ 14.32, we make the ☽'s arc of direction to the sesqui-quintile of ♃ 63.30. But if the same arc of direction of the △ 45.48, we add two of the five parts of ♃'s nocturnal ⚹, which consists of his quadruplicate nocturnal horary times, that is, 58.8 of the fifth part of these are 23.16, we make the ☽'s arc of direction to the biquintile of ♃ 69.14.

若加上木星的夜时量十四度三十二分，就得月亮向木星倍半五分的推运弧六十三度三十分。但若在同一三分推运弧四十五度四十八分上，加上木星夜六分的五分之二，夜六分由他的四个夜时量构成，即五十八度八分，其中的五分之二是二十三度十六分，就得月亮向木星倍五分的推运弧六十九度十四分。

But first of all care must be taken, that if the rays are emitted from the superior places above the Earth, the proportional parts of the rays to be added or substracted, should be taken by the diurnal horary times, or by the semi-diurnal arc of the aspecting star; but if from the inferior places, or under the Earth, by the nocturnal, as you have seen in the given example.

但首先要注意：若光线是从上方、地平以上的位置发出的，要加减的光线比例部分，就应按成相位之星的昼时量或半昼弧来取；若从下方即地平以下的位置发出，就按夜时量来取，如你在所举例子中所见。

The second necessary caution is, that to the adding or substracting for the ray which is projected from the subterraneous places, we cannot make use of the ray which is emitted from those subterraneous places; or the contrary, because their transit is from one quantity of the horary times to another; from the one hemisphere to the other; from the semi-diurnal to the semi-nocturnal arc, or the contrary, from which a true proportion cannot be had; but it is necessary, that for the ray which is projected from the subterraneous places, we add or substract the proportional part from the ray which is found above the Earth, and likewise under the Earth, as in the example of Cardinal Salviatis, the direction of the quintile of ♃ to the ☽, cannot be taken by substraction from the direction of the quintile, as this falls below the Earth, the quintile above.

第二个必要的提醒是：对于从地下位置投射的光线进行加减时，我们不能利用从那些地下位置发出的光线，或者反过来；因为它们的过渡是从一种时量到另一种时量，从一个半球到另一个半球，从半昼弧到半夜弧，或者反过来，由此得不出真正的比例；而必须是：对于从地下位置投射的光线，我们从位于地平以上、同样也从位于地平以下的光线中加减比例部分；如在萨尔维亚蒂枢机的例子中，木星对月亮的五分推运，不能由五分推运减去而得，因为这个落在地平以下，五分则在地平以上。

Wherefore, in such cases as these, let the distances of the rays of the ⚹, □, and △, be taken in the same hemisphere in which the significator remains, if they fall upon that same hemisphere; but if they fall in the other, in which the opposition of the significator falls, they must be taken in the other, as in the example of Salviatis, for the quintile of Jupiter to the Moon.

所以在这类情形下，若六分、四分、三分光线的距离落在征象星所在的同一半球，就在那个半球取；若落在另一个半球，即征象星对冲所落的那个半球，就必须在另一个半球取，如在萨尔维亚蒂的例子中，求木星对月亮的五分。

I first take the quantity of ♃'s diurnal ⚹; that is, from the diurnal horary times, which are 15° 28', four times computed, and the ⚹ becomes 61° 52'; the fifth part of these are 12° 22', and added to 61° 52', they make the quantity of the ray quintile 74.14, and are the secondary distance of ♃ from the ☽.

我先取木星昼六分的量，即由昼时量十五度二十八分乘以四，六分成为六十一度五十二分；其五分之一是十二度二十二分，加到六十一度五十二分上，得五分光线的量七十四度十四分，这就是木星离月亮的次距。

The oblique ascension of ♃ opposite to the pole of the ☽, is 190° 6'; this substracted from the oblique ascension of the ☽'s, opposite, which is 265.33, leaves the primary distance of ♃ from the ☽ 75° 17', which being greater than that of the ray 1° 3', this quintile ray had preceded, and ♃ had this ray to the ☽ in the nativity.

木星对面之点在月亮极高下的斜升是一百九十度六分；从月亮对面之点的斜升二百六十五度三十三分中减去它，余下木星离月亮的初距七十五度十七分，比光线的量大一度三分，所以这五分光线已经过去了，木星在本命时就已对月亮成此光线。

In the example of Cardinal Gymnaseus, the ⚹ of ♃ to the Sun falls above the Earth, the quintile below; for which we cannot add to the ⚹'s arc of direction, the quintile excess above the ray. But I direct the Sun to the quartile of ♃, and from that direction I substract the fifth part of the nocturnal quadrate or semi-nocturnal arc of ♃ thus:

在吉纳西枢机的例子中，木星对太阳的六分落在地平以上，五分则在地平以下；因此我们不能在六分的推运弧上加五分超出那个光线之数。而是把太阳推向木星的四分，再从那个推运中减去木星夜四分即半夜弧的五分之一，如下：

The Sun's direction to the □ of ♃, is thus obtained: From the Sun's semi-diurnal arc 7 18', is given its distance from the medium cœli 33.31; wherefore from ♃'s semi-nocturnal arc 7.33= 113° 24', you have his secondary distance from the west 34.40; the oblique ascension of ♃ opposite is 312.33; from which, substracting the oblique ascension of the horoscope, there remains the primary distance of ♃ from the west 61.28; but because ♃ is above the west, and posited below, I add both his distances together, and make the arc of direction of ♃'s □ to the Sun 96.8; the semi-nocturnal arc of ♃ is 66 36, whose fifth part is 13.19; these I substract from the quadrate's arc of direction 96.8, and there remains the Sun's arc of direction to the quintile of ♃ 82.49.

太阳向木星四分的推运这样求得：由太阳的半昼弧七小时十八分，得出它离中天的距离三十三度三十一分；所以由木星的半夜弧七小时三十三分，即一百一十三度二十四分，得出他离西方的次距三十四度四十分；木星对面之点的斜升是三百一十二度三十三分；从中减去上升点的斜升，余下木星离西方的初距六十一度二十八分；但因为木星在西方之上，而推运后位于其下，我就把他的两个距离相加，得木星的四分到太阳的推运弧九十六度八分；木星的半夜弧是六十六度三十六分，其五分之一是十三度十九分；我从四分的推运弧九十六度八分中减去它们，余下太阳向木星五分的推运弧八十二度四十九分。

There is not any difficulty in the Canon, if due attention be paid to the ray, whether they are projected from places above the Earth, or below, which cases seldom happen.

只要留意光线是从地平以上还是以下的位置投射的，本则就没有任何困难，而这种情形很少发生。

CANON XXXIV.

第三十四则。

To direct the Significators to their own Rays.

征象星向它们本身光线的推运。

The Sun and Moon, only by reason they possess the virtue both of the significator and promittor, if directed to their own rays, have remarkable effects, but the houses are intirely excluded from their own rays; the arc of direction of each luminary's proper sextile, is that which arises from its horary times, four times computed; of the quintile, with the addition of the fifth part of that sextile; the quartile's arc of direction is either semi-diurnal, or nocturnal arc; and so of the rest.

只有太阳与月亮，因为兼有征象星与允诺星的力量，若推向它们本身的光线，会有显著的效应；但诸宫完全不推向它们本身的光线；每个发光体本身六分的推运弧，就是由它的时量乘以四所得；五分的，再加那六分的五分之一；四分的推运弧是半昼弧或半夜弧；其余依此类推。

If however the significator in these rays passes not from the upper to the lower hemesphere, or the contrary, as we have said, then we must calculate in the manner laid down in Canon XXXII, as if the Sun in the primum mobile was another promittor, and we shall know when it happens that the significator passes to the other hemisphere; by the oblique ascension from which, will appear the significator's distance from the horizon; which distance, if it be less, and the ray greater, that ray falls on the other hemisphere: if the distance be greater, the ray less, it falls on the same, as in Cardinal Gymnaseus.

但若征象星在这些光线中并不如我们所说那样从上半球转到下半球，或相反，那么我们就必须照第三十二则所定的方法计算，仿佛第一原动天中的太阳是另一颗允诺星；而我们会知道征象星何时转到另一个半球；借斜升可看出征象星离地平的距离；这距离若较小而光线较大，那光线就落在另一个半球；若距离较大而光线较小，就落在同一个半球，如在吉纳西枢机的例子中。

The Sun's proper sextile is, indeed, a proof of itself, that it falls above the Earth, that is, above the west, because the Sun is above the cusp of the 9th house; yet, if we require by calculation, the Sun's horary times are 18.15, which, four times computed, makes the ⚹ ray 73; but the Sun's distance from the west is 75.56, which is greater, and the ⚹ ray less: when therefore the Sun's ⚹ ray falls upon the same hemisphere, its arc of direction will be from the diurnal horary times, four times computed, 73; but the Sun's proper quartile falls below the Earth, and is to be calculated as in Canon XXXII, as if the Sun was another promittor.

太阳本身的六分，确实自身就证明它落在地平以上，即西方之上，因为太阳在第九宫宫头之上；不过若我们要用计算来求，太阳的时量是十八度十五分，乘以四得六分光线七十三度；而太阳离西方的距离是七十五度五十六分，较大，六分光线较小：所以太阳的六分光线落在同一半球，它的推运弧就是由昼时量乘以四所得的七十三度；但太阳本身的四分落在地平以下，要照第三十二则计算，仿佛太阳是另一颗允诺星。

More examples follow; and remember, that if the Sun is below the Earth, he must likewise be diurnal to the proper rays, for the manner considered in Canon XXXVI.

后面还有更多例子；要记住，若太阳在地平以下，他向本身的光线也必须是昼间的，其方式见第三十六则所论。