第二部·第二十一至二十三则　昏暗之弧、平行与带纬度的征象星

CANON XXI.

第二十一则。

To direct the Sun when found in the Space of the obscure Signs to the Conjunctions and other Aspects.

推运位于昏暗星座范围内的太阳到会合与其他相位。

The Sun, when under the Earth, his distant from the horizon either eastern or western, out of the parallel of twilight, because then the Sun is in the obscure arc, or space of the dark signs. First, take the Sun's semi-nocturnal arc, from which substract the whole crepusculine arc, which you will have at the inferior parallel 18°; and taking the remainder, which is the obscure arc, you must observe in a separate place; then take the semi-nocturnal arc of the opposite place, from which substract the whole arc of crepusculine, that is, that which is found there by the Sun; and thus you will have, under the degree of the place opposite to the inferior parallel, 18°, and there will remain the obscure arc of this opposite place.

太阳在地平之下时，若离东方或西方地平〔较远〕，在曙暮光的平行圈之外，那时太阳就在昏暗之弧中，即昏暗星座的范围内。首先，取太阳的半夜弧，从中减去在下方平行圈十八度所得的整个晨昏之弧；取余数，即昏暗之弧，你要另外记下；再取对面之点的半夜弧，从中减去整个晨昏之弧，即在那里由太阳所得的；这样，在对面之点的度数下、到下方平行圈十八度，你就有了〔晨昏之弧〕，剩下的就是这对面之点的昏暗之弧。

Thirdly, take the Sun's right distance from the imum cœli. Lastly, by the rule of proportion, say, if the whole obscure arc of the Sun give his difference from the imum cœli, what distance will the obscure arc of the opposite place give? and knowing the secondary distance of the opposite place, you must proceed to the end in the same manner, as set forth in Canon XIX, as if the obscure arc were semi-diurnal or semi-nocturnal.

第三，取太阳离天底的赤经距离。最后，按比例法则说：若太阳的整个昏暗之弧给出它离天底的距离，那么对面之点的昏暗之弧给出多少距离？知道了对面之点的第二距离，你就要照第十九则所述的同样方法进行到底，就当昏暗之弧是半昼弧或半夜弧一样。

Suppose the Sun to be in 29° 31' of ♑, as in the fourth example produced by Argol in his former edition of Critical Days; if ♃ be in 3° 21' of ♎, with 1° 40' north latitude, as it is placed in the more correct tables in the imum cœli, 24° of ♐, whose right ascension is 263.28; but as ♃'s declination is 0° 12' southern, it happens that its parallel of declination falls in 29° 30' of ♓ in the ecliptic, to which the Sun moves by direction.

设太阳在摩羯二十九度三十一分，如阿尔戈利在他的《危期》前一版中所举的第四例；木星若在天秤三度二十一分，北纬一度四十分，如在较准确的表中所列，天底在射手二十四度，其赤经为二百六十三度二十八分；但因为木星的赤纬是南零度十二分，它的赤纬平行就落在黄道上的双鱼二十九度三十分，太阳经推运移到那里。

Now, by the golden rule, if the Sun's obscure arc, 5h 35', gives its distance from the imum cœli, 38° 14', the obscure arc of the aspect gives its secondary distance from the imum cœli 29° 26', which, taken from the primary, and as both that and the secondary distances of the opposite aspect or place, are from the same cardinal house and descendant hemisphere, leaves the arc of direction 66.39, for the equation I add this to the Sun's right ascension, and make the aggregate 36.821; from which, after substracting the integer circle 360, there remains 8.21, which answers to 9 of ♈, at which the Sun, from the hour of the nativity, arrives in 67 days, comprehending so many years of an age, wherein the native has shewn himself capable of discharging the highest honours, and accordingly has been raised to them; the rays meeting in the place of the direction, the quintile of Venus, and the sextile of the Sun, proper.

那么，按黄金法则，若太阳的昏暗之弧五时三十五分给出它离天底的距离三十八度十四分，相位的昏暗之弧给出它离天底的第二距离二十九度二十六分，从第一距离中减去它，而且因为相位或对面之点的第一距离与第二距离都是离同一个角、在下降的半球，余下推运弧六十六度三十九分；为了均化，我把它加到太阳的赤经上，得总数三十六点八二一；减去整圆三百六十，剩下八度二十一分，对应白羊九度，太阳从出生时刻起，六十七天走到那里，包含了同样多的岁数；在这个年纪，本命者显出能担当最高的荣誉，并因此被擢升；在推运之处会合的光线，是金星的五分，与太阳本身的六分。

Another example of Card. Salviats explained further on to the 47th year. See therein a calculation of the Sun's direction to the parallel of Jupiter's declination. You may likewise perform these calculations by logistical logarithms. These two examples serve also for the subsequent Canon, and are a convincing proof that I am right in my opinion. See other examples calculated in Charles V. Francis I. King of France, and others.

另一个例子是枢机主教萨尔维亚蒂的，后面讲到他第四十七岁时有说明。看那里太阳推运到木星赤纬平行的计算。你也可以用比例对数来做这些计算。这两个例子也适用于下一则，并有力地证明我的意见是对的。其他算例见查理五世、法兰西国王弗朗索瓦一世等人的本命。

CANON XXII.

第二十二则。

To direct the Sun, wherever found, to the Parallels.

推运无论在何处的太阳到平行。

It was thought proper to call those parallels, which are commonly called antiscions, it being necessary to preserve the latitude of the planets in taking them, that I have only said those stars are alternately in the antiscions, which describe the same parallel or parallels, as Ptolemy says; that is, which have the same declination, both in number and name in the primary antiscions, called place of aspects; or only in number, in the secondary, which are places of authority and subjection; wherefore, if you want to direct the Sun to the parallels of a planet, first take their declination, by observing their latitude, then the degree of its ecliptic, it will be said to have reached the parallel or antiscions of those stars; take therefore the right or oblique ascension of that degree and minute of the ecliptic, the semi-diurnal or nocturnal arc, the horary times and every thing else, according as the situation of the Sun requires. See the example in the former Canon.

那些通常称为映点的，我认为宜称为平行；取它们时必须保留行星的纬度，我只是说，描出同一平行圈或同一些平行圈的星，彼此互处于映点之中，正如托勒密所说；即赤纬相同，在第一种映点中数目与名目都相同，称为相位之处；在第二种中只是数目相同，即命令与服从之处；所以，若你要把太阳推运到某行星的平行，首先注意它的纬度，取它的赤纬，再取〔与之对应的〕黄道度数，〔太阳到那里〕就说到了那些星的平行或映点；所以就取那个黄道度与分的赤经或斜升，半昼弧或半夜弧，时量，以及其他一切，按太阳所处的情形所需。见前一则的例子。

CANON XXIII.

第二十三则。

To direct the Significator, wherever it is found, accompanied with Latitude, to the Conjunction and Rays.

推运带纬度的征象星，无论在何处，到会合与光线。

As the Sun, whilst he is moved in a right direction, advances above his real way, which is the ecliptic, even so the other moderators, whose motion is latitudinal, whilst they are moved by the direction, advance above their true and real way, which is that of its successive latitude;

正如太阳在顺向推运中，在它真实的道路即黄道之上前进，其他主管者，其运动带有纬度的，在推运中也在它们真实的道路之上前进，即在它们相继变化的纬度之上；

I say, successive latitude, by reason that it is not always the same in the nativity, or in the beginning of the direction's motion, but is changed according as such prorogators vary the distance from their nodes, as has been observed, than as the conjunctions in the Zodiac happens, when the stars become alternately nearer, and the opposition in the greater alternate distance, which, not omitting their latitude, happens to be greater; consequently the directions of the prorogators moving latitudinally to the conjunctions and rays in the Zodiac, above their true and real latitudinal ways, should be calculated, omitting the latitude of those that move swiftly, either through the conjunctions or rays.

我说相继的纬度，是因为它并不总是与本命中或推运运动开始时相同，而是随着这些释放星离它们交点的距离而变，如前所观察的；正如黄道上的会合发生在星辰彼此较近之时，对冲在彼此较远之时，若不略去纬度，就会更大；因此，带纬度运动的释放星推运到黄道上的会合与光线，在它们真实的带纬度的道路之上，应当在计算时略去那些快速穿过会合或光线的星的纬度。

But the ways of directing, differ in nothing from the above mentioned, except that, what has been said of the Sun, constituted below the Earth, is omitted in the other prorogators; for having found the direction's place, according to longitude and latitude, that is, according to the latitude of the significator in the direction's place, in proportion to the distance there from their nodes, the right or oblique ascension of that place, is by taking the semi-diurnal or semi-nocturnal arc, the horary times, right distance, &c. always in the same manner, both above and below the earth; of these mention has been made. See examples in Charles V. Henry IV. &c. &c.

但推运的方法与上面所说的毫无不同，只是关于在地平之下的太阳所说的那些，在其他释放星上略去；因为求出推运之处的黄经与纬度之后，即按征象星在推运之处离其交点的距离比例所得的纬度，就取那一点的赤经或斜升，半昼弧或半夜弧，时量，赤经距离等等，在地上地下都始终用同样的方法；这些前面已提过。见查理五世、亨利四世等人的例子。