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《第一原动天》 · PART IV.

第四部·次限推运与进程 第三十九至四十则

主限推运只定到年,应验的月日要看次限推运、进程、进入与行经;次限推运出生后一日对一年,进程则以月亮一个月相周对一年。

ASTRONOMY AND ELEMENTARY PHILOSOPHY, TRANSLATED FROM THE LATIN OF PLACIDUS DE TITUS.

PART IV.

Of SECONDARY DIRECTIONS, PROGRESSIONS, INGRESS, and TRANSIT.

HAVING already calculated and obtained the annual numbers of the primary direction of the significators to their promittors; and likewise taking the lords of the orbs, all which Ptolemy, in the last chapter of the 4th book, calls the General Arbiters of Times; for this reason, because they pre-ordain the general times of their effects, which, as its motion is slow, its perseverance long, it discovers its effects after a very long time; that is, after months and years.

In order that we may know, in this extent of time, on what particular month and day the effects appear, Ptolemy proposes these motions for observations, wherein, when the greater of the causes agree together, then, doubtless, the effect is accomplished, or most clearly manifests itself: whence we ought to conclude, that though, with our greatest care and exact calculation we have obtained the true time, not only to the year, but also month and day of the primary direction, we cannot argue from thence, that the effect has happened on that very day, and therefore it matters not, though the primary direction has been even exceeded, or not quite exactly accounted to a few minutes, as notwithstanding the particular times of their effects, may depend upon other motion of causes now proposed; for which reason, the times of these subsequent motions of the cause, demand our greatest attention; and we must not insist upon the first places which present themselves, but enquire further, till we find where proof may be had, viz. by the method we are now going to speak of.

黑像陶瓶画:老学者对着沙漏与星历,逐日记下星位
不仅到年,而且到月和日
翻译点开

ASTRONOMY AND ELEMENTARY PHILOSOPHY, TRANSLATED FROM THE LATIN OF PLACIDUS DE TITUS.

天文学与元素哲学,译自普拉西德斯·德·提图斯的拉丁文。

PART IV.

第四部。

Of SECONDARY DIRECTIONS, PROGRESSIONS, INGRESS, and TRANSIT.

论次限推运、进程、进入与行经。

HAVING already calculated and obtained the annual numbers of the primary direction of the significators to their promittors; and likewise taking the lords of the orbs, all which Ptolemy, in the last chapter of the 4th book, calls the General Arbiters of Times; for this reason, because they pre-ordain the general times of their effects, which, as its motion is slow, its perseverance long, it discovers its effects after a very long time; that is, after months and years.

我们已经算出并得到诸征象星向其允诺星的主限推运的年数;也取了诸轮之主,这一切托勒密在第四卷最后一章称为总时主;之所以如此称,是因为它们预先规定其效应的总的时间,由于其运动缓慢、持续长久,要在很长时间之后,即几个月、几年之后,才显出其效应。

In order that we may know, in this extent of time, on what particular month and day the effects appear, Ptolemy proposes these motions for observations, wherein, when the greater of the causes agree together, then, doubtless, the effect is accomplished, or most clearly manifests itself: whence we ought to conclude, that though, with our greatest care and exact calculation we have obtained the true time, not only to the year, but also month and day of the primary direction, we cannot argue from thence, that the effect has happened on that very day, and therefore it matters not, though the primary direction has been even exceeded, or not quite exactly accounted to a few minutes, as notwithstanding the particular times of their effects, may depend upon other motion of causes now proposed; for which reason, the times of these subsequent motions of the cause, demand our greatest attention; and we must not insist upon the first places which present themselves, but enquire further, till we find where proof may be had, viz. by the method we are now going to speak of.

为了在这段时间里知道效应在哪一个月、哪一天显现,托勒密提出这些运动供观察:其中,当较大的诸因彼此相合时,效应无疑就会实现,或最清楚地显现出来;由此我们应当得出结论,虽然我们以最大的细心与精确的计算,求得了主限推运的真实时间,不仅到年,而且到月和日,我们也不能由此论定效应就在那一天发生;因此,即使主限推运已被超过,或没有精确地算到几分之内,也无关紧要,因为它们效应的特定时间可能取决于现在提出的其他原因的运动;为此,这些后续的原因运动的时间,需要我们最大的注意;我们不可执着于最先出现的位置,而要进一步探究,直到找到可以得到证明之处,即借我们现在要讲的方法。

大意与图解点开

🔎 大意:主限推运与诸轮之主是托勒密的总时主,只定下效应的大致年份;具体月日要看后续的运动,诸因相合时效应才显现。

📖 术语

术语英文原词意思
总时主General Arbiters of Times定下效应总时间者
诸轮之主lords of the orbs各年轮流的主星
进入ingress流年星进入推运之位
行经transit流年星经过本命点
诸因相合causes agree together几种运动同时指向一事

🧭 图解与讲解

第四部讲主限推运之外的几种运动:次限推运(secondary direction)、进程、进入与行经。普拉西德斯先交代理由。主限推运与「诸轮之主」(逐年轮转的主星)就是托勒密《四书》卷四最后一章所说的总时主:它们运动缓慢、持续长久,只预先规定效应的大致时间,以年、月计(图一)。

〔图〕第四部的层次:主限推运定年,后续的运动落实到月与日

〔图〕算准了主限推运的日子,效应也未必在那天应验

所以即使把主限推运算到月、算到日,也不能断定效应就在那一天发生;反过来,主限推运算得差几分、甚至已经过去,也不要紧(图二)。效应在哪一月哪一天显现,要看后续较快的运动:几种原因同时指向一件事,效应才实现或最清楚地显现。本页第一行同前两部一样,是英译本的书名页眉。

CANON XXXIX.

Of SECONDARY DIRECTION.

Under this name, I understand the motion of the celestial causes which are made on the days succeeding the nativity, according as they are marked in the Ephemeris; for the aspects to the luminaries and angles, which happen in those days, have their effects from every day to every year; so that the first day may be referred to the first year, as a measure to the mensurate; the second, &c. for which reason we must observe, when the luminaries are posited in any aspect of the stars for if, with the fortunes, or rather fortunate, they conduce to happiness and good health; if with the unfortunate, and from an hostile ray or parallel of declination, they portend misery and distress in those years which depend on those days these aspects happen on.

But without doubt, these effects are remarkable, if at that time there are primary directions of the same kind and nature; and above the rest, from such motions originate the climactical, or more properly, critical years; for on the days the ☽ is posited in the ☌, □, or ☍, to and with the place of the nativity, she makes the years which depend on those days, obnoxious to dangers and infirmities.

But if at that time any unfortunate primary direction of the vital prorogator is strong, life may be said to be in danger, and particularly if in a secondary direction, the Moon is afflicted by the malignant planets. But if the Sun is so too, the danger is still greater. Lastly, if the primary direction is heavy, when the ingress and transit agree, death is inevitable. See the examples in the Exposition of the Nativities.

翻译点开

CANON XXXIX.

第三十九则。

Of SECONDARY DIRECTION.

论次限推运。

Under this name, I understand the motion of the celestial causes which are made on the days succeeding the nativity, according as they are marked in the Ephemeris; for the aspects to the luminaries and angles, which happen in those days, have their effects from every day to every year; so that the first day may be referred to the first year, as a measure to the mensurate; the second, &c. for which reason we must observe, when the luminaries are posited in any aspect of the stars for if, with the fortunes, or rather fortunate, they conduce to happiness and good health; if with the unfortunate, and from an hostile ray or parallel of declination, they portend misery and distress in those years which depend on those days these aspects happen on.

我以这个名称,指出生后各日所发生的天上诸因的运动,如星历表所载;因为那些日子里对两光与四角所成的相位,其效应从每一日对应到每一年;所以第一日可对应第一年,如同尺度之于所量之物;第二日,等等;为此我们必须注意,两光何时处于与诸星的某种相位中;因为若与吉星,或更确切地说与吉利者成相位,它们就有助于幸福与健康;若与凶星,且以敌对的光线或赤纬平行成相位,就预示依赖于这些相位所在之日的那些年份中的苦难与困厄。

But without doubt, these effects are remarkable, if at that time there are primary directions of the same kind and nature; and above the rest, from such motions originate the climactical, or more properly, critical years; for on the days the ☽ is posited in the ☌, □, or ☍, to and with the place of the nativity, she makes the years which depend on those days, obnoxious to dangers and infirmities.

但无疑,若那时有同类同性质的主限推运,这些效应就很显著;尤其是,关口之年,或更恰当地说危机之年,正起源于这种运动;因为在月亮与本命之位成会合、四分或对冲的那些日子,她使依赖于那些日子的年份易受危险与疾病。

But if at that time any unfortunate primary direction of the vital prorogator is strong, life may be said to be in danger, and particularly if in a secondary direction, the Moon is afflicted by the malignant planets. But if the Sun is so too, the danger is still greater. Lastly, if the primary direction is heavy, when the ingress and transit agree, death is inevitable. See the examples in the Exposition of the Nativities.

但若那时生命释放星有某个不吉的主限推运正强,就可以说生命有危险,尤其若在次限推运中月亮受凶星侵害。但若太阳也如此,危险就更大。最后,若主限推运沉重,而进入与行经又相合,死亡就无可避免。请看本命盘解说中的例子。

大意与图解点开

🔎 大意:次限推运:出生后第几日星历上两光与诸星所成的相位,应在第几年;与主限推运同性质时最显著。关口之年也由此而来。

📖 术语

术语英文原词意思
星历表Ephemeris逐日列出星位的表
关口之年climactical years月亮四分本命月之年
危机之年critical years关口之年的另一称呼
吉利者fortunate吉星或吉相位
沉重heavy凶而有力

🧭 图解与讲解

次限推运即第一部天的哲学第六十六条所说:出生后第一日的天象对应第一年,第二日对应第二年,依此类推,「如同尺度之于所量之物」。查星历表,看出生后各日两光与诸星成何相位:遇吉星主幸福健康,遇凶星、敌对光线或赤纬平行则主那一年的苦难(表一)。若同一时期正有同性质的主限推运,效应就特别显著。

第三十九则:次限推运是出生后的日子按「一日对一年」展开;见第一部天的哲学第六十六条
出生后第几日的星历对应若两光与吉星成相位若两光与凶星成相位
第一日第一年幸福与健康苦难与困厄
第二日第二年同上同上
第 N 日第 N 年与同性质主限推运相合时最显著月亮会合、四分、对冲本命月之日 → 关口之年

〔图〕生命危险逐级加重:主限、次限、进入与行经相合

关口之年(critical years)也由此而来:出生后约每七日,月亮就与本命月亮成会合、四分或对冲,对应的年份易受危险与疾病(下一章末尾的附论还会讲到)。判断生命危险,他给了一个层层加重的次序(图二):生命释放星的主限推运不吉,已有危险;次限推运中月亮又受凶星侵害,更危险;太阳也受侵害,危险更大;再加进入与行经相合,就无可避免。

CANON XL.

Of Progressions.

That progressions, or, if we should say, equal processes, taken as usual, according to the general opinion and custom hitherto received, are fictious, impossible, and contrary to nature, has been sufficiently proved elsewhere. The method which you are to take as natural, we now explain and prove, in every one of the future examples. Know then, that progressions are derived from embolismical lunations succeeding the nativity, every one of which are formed in the space of near 29 days, in which the Moon separates from her ☌, with the Sun forming the □ and ☍, and returns to a □ and ☌, in which circuit she passes over almost 13 signs, and the Sun one sign.

Progressions, if we may give our judgment, originates from these motions of the luminaries; for the first lunation succeeding the nativity, or the ☽'s circuit, bounds the progression of the first year of the native; the second, the progression of the second year; the third, of the third, &c. in such a manner, however, that the first part of the ☽ circuit may measure or bound the first part of the year; the middle, the middle; the last, the last, &c.

To calculate the progressions, and know with ease where they will arrive at so many embolismical lunations of this kind succeeding the nativity, must be computed, as there are years which have elapsed of the age of the nativity, by always placing the Moon in that appearance and distance from the Sun she is at in the nativity.

Lastly, for every month to the Moon's place, there must be added 32.30, which are the twelfth part of one lunation; but if you desire to obtain a ready calculation of the progressions for several years, take notice that the ☽ does not finish the twelve lunations in one whole year, but eleven days less then have the Moon's distance from the Sun in the nativity, and look for this eleventh day before the end of the first year after the nativity; and when you have found it, then the progression of twelve years are completed; in like manner twenty-two days before the end of the second year after the nativity, the progression of twenty-four years are completed, &c.

Thence proceed from every lunation to every year of the native's age, and from every one of the signs with 32.30 of the ☽'s motion to every month; and whenever the luminaries are well affected, as well in the progressions as towards the places of the favourable planets of the nativity, they induce to happiness; and on the contrary, &c. See examples in every one of the nativities.

红像陶瓶画:月亮女神驾车绕着太阳神,一周又一周
走过将近十三个星座
翻译点开

CANON XL.

第四十则。

Of Progressions.

论进程。

That progressions, or, if we should say, equal processes, taken as usual, according to the general opinion and custom hitherto received, are fictious, impossible, and contrary to nature, has been sufficiently proved elsewhere. The method which you are to take as natural, we now explain and prove, in every one of the future examples. Know then, that progressions are derived from embolismical lunations succeeding the nativity, every one of which are formed in the space of near 29 days, in which the Moon separates from her ☌, with the Sun forming the □ and ☍, and returns to a □ and ☌, in which circuit she passes over almost 13 signs, and the Sun one sign.

进程,或者若我们说是等量的进行,照至今所接受的一般意见与习惯来取的,是虚构的、不可能的、违反自然的,这一点已在别处充分证明。你应当当作自然方法来取的,我们现在就解释,并在每一个后面的例子中证明。要知道,进程出自出生后相继的置闰月,每一个都在将近二十九日的时间里形成,在这期间月亮离开与太阳的会合,形成四分与对冲,又回到四分与会合,在这一周里她走过将近十三个星座,太阳走过一个星座。

Progressions, if we may give our judgment, originates from these motions of the luminaries; for the first lunation succeeding the nativity, or the ☽'s circuit, bounds the progression of the first year of the native; the second, the progression of the second year; the third, of the third, &c. in such a manner, however, that the first part of the ☽ circuit may measure or bound the first part of the year; the middle, the middle; the last, the last, &c.

进程,若容我们判断,源于两光的这些运动;因为出生后的第一个置闰月,即月亮的第一周,界定本命者第一年的进程;第二个界定第二年的进程;第三个界定第三年的,等等;不过是这样:月亮周行的第一部分量度或界定一年的第一部分;中间量度中间;最后量度最后,等等。

To calculate the progressions, and know with ease where they will arrive at so many embolismical lunations of this kind succeeding the nativity, must be computed, as there are years which have elapsed of the age of the nativity, by always placing the Moon in that appearance and distance from the Sun she is at in the nativity.

要计算进程,并容易地知道它们到达何处,就必须算出出生后这类置闰月的个数,与本命者已过的年数相同,始终把月亮放在她本命时与太阳相距的那个月相与距离上。

Lastly, for every month to the Moon's place, there must be added 32.30, which are the twelfth part of one lunation; but if you desire to obtain a ready calculation of the progressions for several years, take notice that the ☽ does not finish the twelve lunations in one whole year, but eleven days less then have the Moon's distance from the Sun in the nativity, and look for this eleventh day before the end of the first year after the nativity; and when you have found it, then the progression of twelve years are completed; in like manner twenty-two days before the end of the second year after the nativity, the progression of twenty-four years are completed, &c.

最后,每一个月,要在月亮的位置上加三十二度三十分,这是一个朔望周的十二分之一;但若你想对多年的进程得到现成的计算,请注意,月亮在一整年里完成不了十二个朔望周,而是少十一日;所以要取本命时月亮离太阳的距离,在出生后第一年结束前第十一日寻找;找到了,十二年的进程就完成了;同样,在出生后第二年结束前二十二日,二十四年的进程就完成了,等等。

Thence proceed from every lunation to every year of the native's age, and from every one of the signs with 32.30 of the ☽'s motion to every month; and whenever the luminaries are well affected, as well in the progressions as towards the places of the favourable planets of the nativity, they induce to happiness; and on the contrary, &c. See examples in every one of the nativities.

由此从每一个朔望周推到本命者年龄的每一年,从每一个带月亮三十二度三十分运动的星座推到每一个月;每当两光在进程中、以及对本命吉星之位而言处境良好时,就导致幸福;反之,等等。请看每一个本命盘中的例子。

大意与图解点开

🔎 大意:进程不用通行的等量推进,而以出生后月亮每回到本命月相一周(约二十九日)对一年,每月加三十二度半;十二周约少十一日。

📖 术语

术语英文原词意思
置闰月embolismical lunations月亮回到本命月相一周
等量的进行equal processes通行的每年等量推进
朔望周lunation月亮绕太阳一周
月相appearance月亮离太阳的距离
周行circuit月亮绕太阳一周

🧭 图解与讲解

第四十则批评通行的进程,即「等量的进行」(每年按固定度数推进),斥为虚构、违反自然,理由见第一部天的哲学第六十七条以下。他主张的「自然」进程出自两光:出生后月亮每回到本命时与太阳的那个距离(月相)一次,约二十九日,叫一个「置闰月」(embolismical lunation),对应本命者的一年(表二);月亮一周的前段、中段、后段,分别对应那一年的前段、中段、后段。

〔图〕进程:月亮每过一个月推进三十二度半,一年走将近十三个星座

第四十则的进程算法:月亮每回到本命月相一次,就是一年
步骤算什么用哪个数结果
一一个置闰月的长度月亮回到本命时离太阳的距离将近 29 日
二一个置闰月中月亮所行约 13 个星座约 390°
三进程一个月的量390° ÷ 1232°30′
四十二个置闰月比一年12 × 约 29.5 日约少 11 日
五现成的算法第一年结束前第 11 日,月亮回到本命月相十二年的进程完成
六同上第二年结束前第 22 日二十四年的进程完成

一个置闰月里月亮约走十三个星座,即三百九十度左右,十二分之一是三十二度三十分,所以进程每过一个月,月亮位置加三十二度三十分(图一)。十二个置闰月比一整年约少十一日,所以出生后第一年结束前十一日,月亮已回到本命月相十二次,十二年的进程算完;第二年结束前二十二日,二十四年算完,依此可快速推多年。两光在进程中处境良好、又照到本命吉星之位,就主幸福,反之主不幸。

原文为公有领域古籍;翻译、印象画与图文解读由 AI 辅助生成,鲲侯审校。