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《第一原动天》 · PART I.

第一部·天的哲学卷二第三十八至五十六条 两种亲缘与季节时宫

相位分黄道上与世界上两种,各九类;纬度要计入;映点即赤纬平行;宫位与位置圈都按相等的季节时来分。

POSITIONS from the SECOND BOOK.

38. There are two motions of the stars, whereby they influence those inferior, that is, under the primum mobile, and round the world; but familiarity is nothing more than a proportional influx, exhibited by the motion, as has been said. It necessarily follows, that there are two kinds of familiarities of the stars; the one under the Zodiac, the other round the world: these two kinds of familiarities are delivered by Ptolomy in several places; first, in the Almagest, Book viii. chap. 4. in these words:

"It remains now to write of their aspects: of these, therefore, (excepting those that have a mutual formation, and are thought immoveable, as when in a right line or triangular aspect, and others of the like) some are aspected to the planets only, and the Sun and the Moon, and parts of the Zodiac; some only to the Earth; some to the Earth, together with the planets and the Sun and Moon, or parts of the Zodiac," &c. From which words, it is evident, that Ptolomy places these two kinds of familiarity, viz. in the Zodiac, and towards the Earth, that is, towards the world.

In the Quadripartite, in the beginning of the first book, he speaks thus: "There is one which is first, both in place and power, whereby we discover the configurations of the Sun and Moon, and motions of the stars, both towards themselves and the earth," &c.

Again, book first, "The stars are said to appear in their proper forms, &c. when every one of them are configurated with the Sun, or even the Moon, in the same manner as their houses are with those of the luminaries, as Venus in the Sexangular, configurated with the luminaries, but the Vespertine with the Sun," &c.

Venus never has the ⚹ to the ☉ in the Zodiac, as it can only be extended by it 48°; wherefore, unless any one will say that Ptolomy was ignorant of this, (which is absurd) he must of course say, he spoke of the Sextile in the world.

Likewise, in the third book, of Aphetic places, he says, "As we are first to suppose those Aphetic places, in which it is absolutely necessary to find that which is desirous, obtain the jurisdiction of presiding over life, as round the Horoscope, from the five parts first immerging above the horizon, to the other twenty-five succeeding; and that which conjoins these thirty parts with dexter hexagonal rays, is called the place of the Good Genius. Likewise with quadrangular, or the highest part of heaven above the earth; and with trigonal, &c. and from no other places." It is evident, Ptolomy was of this opinion.

红像陶瓶画:黄昏时金星女神随太阳神之后西行
昏星而与太阳成格局
翻译点开

POSITIONS from the SECOND BOOK.

取自第二卷的论点。

38. There are two motions of the stars, whereby they influence those inferior, that is, under the primum mobile, and round the world; but familiarity is nothing more than a proportional influx, exhibited by the motion, as has been said. It necessarily follows, that there are two kinds of familiarities of the stars; the one under the Zodiac, the other round the world: these two kinds of familiarities are delivered by Ptolomy in several places; first, in the Almagest, Book viii. chap. 4. in these words:

第三十八条。星辰有两种运动,借以影响下界之物,即在第一原动天之下的运动与绕世界的运动;而亲缘不过是由运动呈现的按比例的流入,如前所说。由此必然推出,星辰的亲缘有两种:一种在黄道之下,一种绕世界:这两种亲缘,托勒密在好几处都有传述;首先,在《天文学大成》第八卷第四章,原话如下:

"It remains now to write of their aspects: of these, therefore, (excepting those that have a mutual formation, and are thought immoveable, as when in a right line or triangular aspect, and others of the like) some are aspected to the planets only, and the Sun and the Moon, and parts of the Zodiac; some only to the Earth; some to the Earth, together with the planets and the Sun and Moon, or parts of the Zodiac," &c. From which words, it is evident, that Ptolomy places these two kinds of familiarity, viz. in the Zodiac, and towards the Earth, that is, towards the world.

“现在剩下要写的是它们的相位:其中(除了那些彼此构成固定形态、被认为不动的,如成一直线或三角形相位等等)有些只与诸行星、日月以及黄道的部分成相位;有些只与大地成相位;有些则与大地连同诸行星、日月或黄道的部分一起成相位”,等等。从这段话可以明白,托勒密立了这两种亲缘,即在黄道上的,与朝向大地的,也就是朝向世界的。

In the Quadripartite, in the beginning of the first book, he speaks thus: "There is one which is first, both in place and power, whereby we discover the configurations of the Sun and Moon, and motions of the stars, both towards themselves and the earth," &c.

在《四书》第一卷开头,他这样说:“有一种在次序与力量上都居首位,我们借它发现日月的格局与星辰的运动,既有它们彼此之间的,也有对大地的”,等等。

Again, book first, "The stars are said to appear in their proper forms, &c. when every one of them are configurated with the Sun, or even the Moon, in the same manner as their houses are with those of the luminaries, as Venus in the Sexangular, configurated with the luminaries, but the Vespertine with the Sun," &c.

又,第一卷:“当每一颗星与太阳、甚至与月亮形成的格局,与它们的庙和两光的庙之间的格局相同时,就说星辰显现于它们固有的形态,等等;如金星以六角形与两光成格局,但须是昏星而与太阳成格局”,等等。

Venus never has the ⚹ to the ☉ in the Zodiac, as it can only be extended by it 48°; wherefore, unless any one will say that Ptolomy was ignorant of this, (which is absurd) he must of course say, he spoke of the Sextile in the world.

在黄道上,金星与太阳从不成六分相,因为她离太阳最远只能到四十八度;因此,除非有人说托勒密不知道这一点(这是荒谬的),他就只能说托勒密讲的是世界上的六分。

Likewise, in the third book, of Aphetic places, he says, "As we are first to suppose those Aphetic places, in which it is absolutely necessary to find that which is desirous, obtain the jurisdiction of presiding over life, as round the Horoscope, from the five parts first immerging above the horizon, to the other twenty-five succeeding; and that which conjoins these thirty parts with dexter hexagonal rays, is called the place of the Good Genius. Likewise with quadrangular, or the highest part of heaven above the earth; and with trigonal, &c. and from no other places." It is evident, Ptolomy was of this opinion.

同样,在第三卷论释放之位时,他说:“我们首先要设定那些释放之位,凡要取得主管生命之权的,必须落在其中:如上升点周围,从地平之上最先浮出的五度,到其后继起的二十五度;与这三十度以右方六角光线相连的,称为善灵之位。同样以四角光线相连的,即地上天空的最高处;以三角光线相连的,等等;此外别无他处。”显然托勒密持这个看法。

大意与图解点开

🔎 大意:星辰有两种运动,所以亲缘也有黄道上与世界上两种。普拉西德斯引托勒密三处为证,尤以金星不能与太阳成黄道六分为据。

📖 术语

术语英文原词意思
黄道上的亲缘familiarity in the Zodiac按黄经量的相位
世界上的亲缘familiarity in the world按周日运动量的相位
《天文学大成》Almagest托勒密的天文学著作
固有的形态proper forms星与日月的格局合其庙
善灵之位place of the Good Genius即第十一宫

🧭 图解与讲解

第二卷的论点从「亲缘」说起。第十六条已经说过,亲缘就是相位;第三十三条说过,星辰有两重运动。第三十八条把两者合起来:星辰沿黄道的运动产生「黄道上的亲缘」,按黄经量相位;绕世界的周日运动产生「世界上的亲缘」,按星辰在天穹上离地平、子午线的位置量相位(mundane aspects)。后者是普拉西德斯全书的特色。

〔图〕金星离太阳最远四十八度,在黄道上够不着六十度的六分点

第三十八条的四处引证
托勒密原书普拉西德斯所引他读出的意思
《天文学大成》第八卷第四章有的只对诸星成相位,有的对大地相位分黄道上、世界上两种
《四书》第一卷开头格局「彼此之间的,也有对大地的」同上
《四书》第一卷(固有的形态)金星与两光成六角格局金星不能成黄道六分,故指世界上的
《四书》第三卷(释放之位)以六角、四角、三角光线相连之处以宫位论相位,即世界上的

他引托勒密四处为证(表二)。最有力的是金星一例(图一):《四书》第一卷说金星以六角形与两光成格局时显现其固有形态;可是在黄道上,金星离太阳最远约四十八度,根本够不到六十度的六分。普拉西德斯说,除非认为托勒密连这都不懂,否则就只能承认他讲的是世界上的六分,即在周日运动的位置上相隔六十度的比例。

第三卷的引文就是《四书》卷三第十章论释放之位那一段:上升点周围从地平之上五度到地平之下二十五度共三十度,与它成右方六分的叫善灵之位(第十一宫),成四分的是天顶,成三分的等等。这里相位是按宫位来定的,普拉西德斯据此认为托勒密本来就有世界上的相位。第三十七条列的五个释放之位就出于此。

39. The familiarity in the Zodiac, is the proportionable influx of the stars by local motion, whereby they are able to effect a favourable conjunction. That these familiarities happen and are powerful only among the stars, which are there in motion, but are powerful to the cardinals and rest of the houses, we absolutely deny; for omitting other reasons, the stars move not to the cardinals, by advancing above the Zodiac; which is the reason they do not effect any proportional distances to those cardinals, but the rays are no more than proportional distances, &c.

40. The familiarities of the stars in the world is a proportionale influx of the stars, agreeable to motion round the world; and they happen, and are efficacious in the proportional division of the diurnal and nocturnal arcs, and no other way.

41. But because the stars have a mutual motion under the primum mobile, and round the world, it happens that they mutually contract both kinds of familiarity; as Ptolomy in the place already cited insinuates. But familiarities, taken in any other manner, and in any other circle, even in the equator, (according to the opinion of Maginus) are entirely reprobated, and to be rejected.

42. These two kinds of familiarities being given, we say, that in every kind, neither more or less then nine species are found, which are ☌, ⚹, Q, □, △, Sqq, Bq, ☍, and parallels called by some Antiscions, which Kepler, by an exquisite and plain reason, has selected from their concording harmonies. Of these familiarities, the Sextile, Quintile, Trine, and Biquintile, are benign; the Quadrate, Sesquiquadrate, and Opposition malign; the rest indifferent with the fortunate stars, and equally so with the unfortunate.

翻译点开

39. The familiarity in the Zodiac, is the proportionable influx of the stars by local motion, whereby they are able to effect a favourable conjunction. That these familiarities happen and are powerful only among the stars, which are there in motion, but are powerful to the cardinals and rest of the houses, we absolutely deny; for omitting other reasons, the stars move not to the cardinals, by advancing above the Zodiac; which is the reason they do not effect any proportional distances to those cardinals, but the rays are no more than proportional distances, &c.

第三十九条。黄道上的亲缘,是星辰借位置运动而成的按比例流入,借此能形成吉利的会合。这种亲缘只在那里运动的星辰之间发生、有力;若说它对四角与其余诸宫也有力,我们断然否认;因为撇开其他理由,星辰并不是借在黄道上前进而运动到四角的;所以它们与四角构不成任何按比例的距离,而光线不过就是按比例的距离,等等。

40. The familiarities of the stars in the world is a proportionale influx of the stars, agreeable to motion round the world; and they happen, and are efficacious in the proportional division of the diurnal and nocturnal arcs, and no other way.

第四十条。世界上的星辰亲缘,是合乎绕世界运动的按比例流入;它们在昼弧与夜弧按比例的划分中发生并有效,别无他途。

41. But because the stars have a mutual motion under the primum mobile, and round the world, it happens that they mutually contract both kinds of familiarity; as Ptolomy in the place already cited insinuates. But familiarities, taken in any other manner, and in any other circle, even in the equator, (according to the opinion of Maginus) are entirely reprobated, and to be rejected.

第四十一条。但因为星辰在第一原动天之下与绕世界都有相互的运动,所以它们会相互结成两种亲缘;正如托勒密在前引之处所暗示的。但以其他任何方式、在其他任何圆上所取的亲缘,即使是在赤道上(照马吉尼的意见),都应完全斥责、摒弃。

42. These two kinds of familiarities being given, we say, that in every kind, neither more or less then nine species are found, which are ☌, ⚹, Q, □, △, Sqq, Bq, ☍, and parallels called by some Antiscions, which Kepler, by an exquisite and plain reason, has selected from their concording harmonies. Of these familiarities, the Sextile, Quintile, Trine, and Biquintile, are benign; the Quadrate, Sesquiquadrate, and Opposition malign; the rest indifferent with the fortunate stars, and equally so with the unfortunate.

第四十二条。这两种亲缘既已确立,我们说,每一种中恰有九种,不多不少,即会合、六分、五分、四分、三分、倍半四分、倍五分、对冲,以及有人称为映点的平行;开普勒以精妙而明白的道理,从它们和谐的音律中选出了这些。在这些亲缘中,六分、五分、三分、倍五分为吉;四分、倍半四分、对冲为凶;其余的属中性,与吉星相配、与凶星相配都一样随之。

大意与图解点开

🔎 大意:黄道上的相位只在星与星之间,不及四角;世界上的相位按昼弧夜弧的比例来定。两种各有九类,开普勒据和声选定。

📖 术语

术语英文原词意思
昼弧 / 夜弧diurnal / nocturnal arcs地平上下所行之弧
五分Quintile相距七十二度
倍半四分Sesquiquadrate相距一百三十五度
倍五分Biquintile相距一百四十四度
映点Antiscions本书称第一原动天中的平行

🧭 图解与讲解

第三十九、四十条给两种亲缘下定义。黄道上的亲缘,是星辰沿黄道运动所成的比例距离,只发生在星与星之间。普拉西德斯断然否认它及于四角与诸宫:星辰并不是沿黄道前进而走到上升、中天的,把它们送到四角的是周日运动,所以星与四角之间谈不上黄道上的比例距离。这是他批评旧法「把相位推到中天、上升」的根据。

〔图〕九种亲缘中的七种角距:吉为六十、七十二、一百二十、一百四十四度,凶为九十、一百三十五、一百八十度

第四十二条的九种亲缘;黄道上与世界上各有这九种
相位原文符号角距吉凶
会合☌0°中性,随所配之星
六分⚹60°吉
五分Q72°吉
四分□90°凶
三分△120°吉
倍半四分Sqq135°凶
倍五分Bq144°吉
对冲☍180°凶
平行(映点)—赤纬相等中性,随所配之星

世界上的亲缘,则按「昼弧与夜弧按比例的划分」来定。每颗星一日之中在地平以上所行的弧叫昼弧,以下的叫夜弧,因赤纬与纬度不同而长短不一;两星各在自己的弧上处于相应的比例位置,就算成相位。这正是半弧(semi-arc)比例法的雏形,第三部详算。马吉尼等人在赤道上取相位的做法,他一概摒弃。

第四十二条列出九种亲缘(图一、表二)。除了托勒密的会合、六分、四分、三分、对冲,又加上开普勒依音律和谐选出的五分(七十二度)、倍半四分(一百三十五度)、倍五分(一百四十四度),以及「平行」,即俗称的映点。吉的是六分、五分、三分、倍五分,凶的是四分、倍半四分、对冲;会合与平行本身中性,随所配的吉星凶星而定。原文以 Q、Sqq、Bq 作符号,表中照录。

43. The latitudinal stars do not commit all their virtual influence to the ecliptic, but preserve it among themselves; and their greater or lesser proximity to the ecliptic, adds not, nor lessens their power of acting: the ecliptic cannot act without the stars, but the stars have their activity in themselves wholly independent on the ecliptic.

44. The stars alternately conjoined, do not acquire greater or lesser powers to act in a favourable conjunction, which falls out when another is found within the sphere of the other's activity, from a greater or less alternate proximity; but we only say, that their active virtues are the more or less conjoined. Under the name of the Sphere of Activity, we understand those that Ptolemy has placed, in Jupiter twelve degrees, in Venus eight degrees, &c.

45. But the stars which are found in the same partial longitude, we do not call conjoined in a favourable conjunction, if their alternate distance be greater by latitude, than is their sphere of activity; as ♀ with 8° of south latitude, is not favourably conjoined with ☿, having a northern latitude, though they are found in the same degree and minute of longitude; they may indeed be said to be conjoined by virtual conjunction, if they ascend or descend in the same horary circle; or cardinal, which is one of the species of mundane aspects.

46. The stars therefore should not be cardinally placed; nor even those that are fixed with the other planets, if the latitude distance from the circles of position be greater than their sphere of activity; nor ought any difference to be made between the aspects of the natural constitution, and those produced by the motion of direction in preserving the latitude, as Argol thinks, there being equal reason in both cases.

47. In defining the intermediate rays, the half latitude in ⚹ and △ is not to be observed, nor rejected in quartile, as Blanolinus has taught, whom some authors imitate: but the latitude of both aspects are to be observed; for the rays are to be projected from the body of one to that of another, as it happens that these stars are found by latitude; so that in whatever latitude the planets are, they emit and receive the rays in proportional distances, taken with regard to longitude; as the ⚹ in the distance of 60°, the □ in 90, &c.

We would have this always observed, both in the daily motions of the planets, as in the directions and progressions, wherein the significators advance by their own real and natural way, on which they receive and emit the aspects; and in all the motions of the stars.

翻译点开

43. The latitudinal stars do not commit all their virtual influence to the ecliptic, but preserve it among themselves; and their greater or lesser proximity to the ecliptic, adds not, nor lessens their power of acting: the ecliptic cannot act without the stars, but the stars have their activity in themselves wholly independent on the ecliptic.

第四十三条。有纬度的星辰并不把它们全部的作用之力交给黄道,而是保存在自身之中;它们离黄道更近或更远,既不增加也不减少它们的作用之力:黄道没有星辰就不能作用,而星辰却完全独立于黄道,自有其作用。

44. The stars alternately conjoined, do not acquire greater or lesser powers to act in a favourable conjunction, which falls out when another is found within the sphere of the other's activity, from a greater or less alternate proximity; but we only say, that their active virtues are the more or less conjoined. Under the name of the Sphere of Activity, we understand those that Ptolemy has placed, in Jupiter twelve degrees, in Venus eight degrees, &c.

第四十四条。彼此相会的星辰,在吉利的会合中,即一颗星落在另一颗的作用范围之内时,并不因彼此更近或更远而获得更大或更小的作用之力;我们只说,它们的主动之力结合得更多或更少。所谓作用范围,我们指托勒密所定的那些:木星十二度,金星八度,等等。

45. But the stars which are found in the same partial longitude, we do not call conjoined in a favourable conjunction, if their alternate distance be greater by latitude, than is their sphere of activity; as ♀ with 8° of south latitude, is not favourably conjoined with ☿, having a northern latitude, though they are found in the same degree and minute of longitude; they may indeed be said to be conjoined by virtual conjunction, if they ascend or descend in the same horary circle; or cardinal, which is one of the species of mundane aspects.

第四十五条。但处于同一黄经度数的星辰,若它们因纬度而相距大于其作用范围,我们就不称它们在吉利的会合中相会;比如金星有南纬八度,水星有北纬,即使它们在黄经的同一度同一分,也不算吉利地相会;如果它们在同一个时圈上升起或下降,或同在角上,确实可以说它们以力量相会,这是世界上相位的一种。

46. The stars therefore should not be cardinally placed; nor even those that are fixed with the other planets, if the latitude distance from the circles of position be greater than their sphere of activity; nor ought any difference to be made between the aspects of the natural constitution, and those produced by the motion of direction in preserving the latitude, as Argol thinks, there being equal reason in both cases.

第四十六条。因此,星辰不应被认为同在角上;与其他行星同在的恒星也不应,若它们按纬度离位置圈的距离大于其作用范围;也不应像阿尔戈利所想的那样,在保存纬度这一点上区分本命构成中的相位与推运运动所产生的相位,因为两种情形道理相同。

47. In defining the intermediate rays, the half latitude in ⚹ and △ is not to be observed, nor rejected in quartile, as Blanolinus has taught, whom some authors imitate: but the latitude of both aspects are to be observed; for the rays are to be projected from the body of one to that of another, as it happens that these stars are found by latitude; so that in whatever latitude the planets are, they emit and receive the rays in proportional distances, taken with regard to longitude; as the ⚹ in the distance of 60°, the □ in 90, &c.

第四十七条。在确定居间的光线时,不应像布拉诺利努斯所教、又有些作者效法的那样,在六分与三分中取一半纬度,而在四分中则不计纬度:两种相位的纬度都应考虑;因为光线要从一颗星的星体投射到另一颗的星体,看这些星实际因纬度而处于何处;所以诸行星无论在什么纬度,都在按黄经取的比例距离上发出与接受光线;如六分在六十度的距离,四分在九十度,等等。

We would have this always observed, both in the daily motions of the planets, as in the directions and progressions, wherein the significators advance by their own real and natural way, on which they receive and emit the aspects; and in all the motions of the stars.

我们希望这一点始终得到遵守,无论在行星的每日运动中,还是在推运与进程中,在这些推运里征象星沿着它们自己真实而自然的道路前进,在道路上接受与发出相位;以及在星辰的一切运动中。

大意与图解点开

🔎 大意:星辰的力量在自身不在黄道,纬度相差超过作用范围就不算会合;相位要从星体投到星体,纬度一律计入。

📖 术语

术语英文原词意思
纬度latitude星离黄道南北的度数
作用范围Sphere of Activity后世称容许度
以力量相会virtual conjunction凭力量而非黄经相会
居间的光线intermediate rays会合与对冲之间的相位
黄经longitude沿黄道量的度数

🧭 图解与讲解

第四十三条把力量归还给星辰本身:有纬度的星并不把力量「交给」黄道,离黄道远近也不增减它的力量。由此推出第四十四、四十五条:会合是看一颗星是否落在另一颗的「作用范围」(sphere of activity)之内,后世通称容许度(orb);原文说托勒密所定,木星十二度、金星八度。范围之内,近一些远一些力量并不变,只是结合得多少不同。

〔图〕同在一度一分也未必相会:纬度相差超过作用范围就不算

第四十三至四十七条:纬度与作用范围的几个论点
问题旧说普拉西德斯
星的力量在哪里交给黄道,近黄道则强在星自身,与离黄道远近无关
会合的远近越近力量越大力量不变,只是结合得多少
同度不同纬算会合纬差超过作用范围不算
六分、三分的纬度布拉诺利努斯:取一半全计
四分的纬度布拉诺利努斯:不计全计
本命与推运的相位阿尔戈利:分别处理道理相同,一样计纬度

关键在纬度(图一):金星南纬八度,水星在北纬,即使黄经同一度同一分,两星星体实际相距超过作用范围,就不算吉利的会合。不过若两星在同一个时圈上一同升起或下降,或同在角上,仍可算「以力量相会」,这属于世界上的相位。第四十六条把同样的道理用到恒星与角上,并批评阿尔戈利把本命相位和推运相位分开处理。

第四十七条批评布拉诺利努斯一派在六分、三分中取一半纬度、四分中不计纬度的做法(表二),主张两种相位都要全计纬度,因为光线是从一个星体投到另一个星体的。他要求这一点在每日运动、推运与进程中一律遵守:征象星沿自己的真实道路前进,路上接受和发出相位。第二部计算黄道上的推运时,就要先求出带纬度的赤经与赤纬。

48. The fixed stars that are in a favourable conjunction with the planets, effect with them: the other aspects in the primum mobile, which otherwise have no effect. The same must be supposed of their number and mundane aspects.

49. The rays in their kinds, from the brevity or longitude of the ascension of the signs, do not alter their nature from the fortunate to the unfortunate, or the contrary, as its generally supposed by authors; yet it may be, that the quadrate in the Zodiac, is either △ or ⚹ in the world, or the contrary: but then every one has its effect according to its nature in both kinds, or it may be, they alternately moderate each other; but if these rays be found by the favourable stars, they doubtless produce happiness; if by the unfortunate, otherwise.

50. That which is vulgarly termed antiscions, we call parallels in the primum mobile; because we would have them to be nothing else but parallels to the equator, as Ptolomy hints, as they rise at an equal space of time, and describe the same parallels, for which reason, called the antiscion, or parallel. The primum mobile is equidistant from the equator; and if it be of the same country, it is called the primary parallel, or opposite; if of a different country, the North commands, the South obeys; and they are taken from the table of declination, but parallel in its physical sense, in an equal power of the influence of the stars from the primum mobile.

翻译点开

48. The fixed stars that are in a favourable conjunction with the planets, effect with them: the other aspects in the primum mobile, which otherwise have no effect. The same must be supposed of their number and mundane aspects.

第四十八条。与行星在吉利会合中的恒星,与它们一起起作用:至于第一原动天中的其他相位,则没有作用。对它们的数目与世界上的相位,也应作同样的推定。

49. The rays in their kinds, from the brevity or longitude of the ascension of the signs, do not alter their nature from the fortunate to the unfortunate, or the contrary, as its generally supposed by authors; yet it may be, that the quadrate in the Zodiac, is either △ or ⚹ in the world, or the contrary: but then every one has its effect according to its nature in both kinds, or it may be, they alternately moderate each other; but if these rays be found by the favourable stars, they doubtless produce happiness; if by the unfortunate, otherwise.

第四十九条。各类光线并不因星座上升时间的长短而改变本性,由吉变凶,或由凶变吉,如诸作者一般所认为的;不过,黄道上的四分在世界上可能是三分或六分,反之亦然:但这时每一种在两类中都依其本性产生效应,或者它们可能彼此调节;但这些光线若由吉星发出,无疑带来幸福;若由凶星发出,则相反。

50. That which is vulgarly termed antiscions, we call parallels in the primum mobile; because we would have them to be nothing else but parallels to the equator, as Ptolomy hints, as they rise at an equal space of time, and describe the same parallels, for which reason, called the antiscion, or parallel. The primum mobile is equidistant from the equator; and if it be of the same country, it is called the primary parallel, or opposite; if of a different country, the North commands, the South obeys; and they are taken from the table of declination, but parallel in its physical sense, in an equal power of the influence of the stars from the primum mobile.

第五十条。俗称的映点,我们称为第一原动天中的平行;因为我们认为它们无非就是与赤道平行,如托勒密所暗示的,因为它们在相等的时间里升起,描出同一条平行圈,所以称为映点或平行。第一原动天〔中的平行〕与赤道等距;若在同一方,就称为原初平行,或对立〔平行〕;若在不同方,则北方命令,南方服从;它们从赤纬表中取得;但在物理的意义上,平行意味着星辰从第一原动天所得影响的力量相等。

大意与图解点开

🔎 大意:恒星只以会合起作用;上升时间长短不改变相位吉凶。映点即赤纬相等的「平行」,在物理上意味着所受影响的力量相等。

📖 术语

术语英文原词意思
恒星fixed stars不在七星之列的星
上升时间ascension星座升出地平所需时间
平行parallels赤纬相等的两点
赤纬declination离天赤道南北的度数
命令 / 服从commands / obeys北方为命令,南方为服从

🧭 图解与讲解

第四十八条限定恒星的作用:恒星只在与行星会合时一同起作用,在第一原动天中的其他相位没有作用,世界上的相位也一样。第四十九条反驳一种流行说法,即星座上升时间的长短会把四分变成吉、把三分变成凶(表二)。普拉西德斯认为相位本性不变;但黄道上的四分在世界上可能恰是三分或六分,这时两种相位各依其本性起作用,或互相调节。

〔图〕映点即平行:以巨蟹、摩羯初度为轴左右对称的两点,赤纬相等

黄道上与世界上的相位可以不一致,各算各的
第四十九条说明
旧说上升快的星座把凶的四分变成吉,反之亦然
普拉西德斯相位本性不因上升时间改变
但承认黄道上的四分在世界上可能是三分或六分
此时两种相位各依本性起作用,或互相调节
总之吉星发出的光线带来幸福,凶星则相反

第五十条重新解释「映点」(antiscion)。俗说映点是以巨蟹、摩羯初度为轴对称的两点(图一);普拉西德斯说,这无非是与赤道「平行」:两点赤纬相等,在相等时间里升起,描出同一条平行圈。所以他改称「第一原动天中的平行」,并说直接从赤纬表取。同在北方或同在南方的叫原初平行;一南一北的,北方命令、南方服从,沿用《四书》卷一的命令星座、服从星座之说。

在物理意义上,平行意味着两处所受星辰影响的力量相等,这又回到第二十五条:性质从基点开始,向对面递增,离基点等距的两点,性质的程度就相等。第五十二、五十三条将把同样的「平行」移到世界上,作为世界上相位的第九种。

51. The twelve houses or mansions in heaven, authors divide several ways, but they all disagree. Rejecting the opinion of them all, we, with Ptolomy, distinguish them by the temporal houses; for so it is, that there is proportional and equal division, not indeed of the heavenly and aerial space, but of the successive influx of the stars and houses; and Munitun says, appear equal and proportional. But it is our opinion, that the division of the houses, by great circles passing through the common sections of the horizon and meridian, and the twelve equal divisions of the equator, which late authors make use of, is of all, the most remote from, and abhorrent to natural truth.

52. As many kinds of aspects as are found in the primum mobile, of which mention is already made; so many, we say, are found in the world. Wherefore, besids the usual ray, we likewise place in the world the parallels, which are in equal powers of the influx of the stars round the world.

53. Several resemblances are found between the mundane parallels, and those in the primum mobile. (1.) The efficacy of the aspects in both, consists in the parity or equal power, and powers of the active virtue. (2.) As in the primum mobile, they represent the same quantity of the ascension of the signs: for example, the signs ♓ and ♈, also ♊ and ♋ ascend at the same time; with so much likeness do they exhibit the same quality of ascension and descension in the world, that the eleventh house causes an ascension equal to the descension of the ninth, and the twelfth house equal to the second, &c.

(3.) As the parallels in the primum mobile are equi-distant from the cardinal points of the Zodiac, so are the cardinal points of the world. (4.) As in the primum mobile, they exhibit equal temporal hours, so in the world they exhibit the equal temporal hours of the distances from the cardinals. (5.) The parallels in the primum mobile, are at an equal distance from the pole of the world; the parallels in the world have the same pole as elevation; and other resemblances, if required, will be found.

54. The efficacy of all the parallels, both in the primum mobile, and in the world, consists in the parity of the degree of quality, which the stars found in the effect of the parallels; as it is plainly gathered from those which we mentioned in sect. 25; for by going through intension, and returning through remission, from the cardinal points, it happens, that they effect an equal degree of quality, as well under the primum mobile, as round the world.

黑像陶瓶画:学者以圆规在天球上划出昼夜各六段
看起来相等而成比例
翻译点开

51. The twelve houses or mansions in heaven, authors divide several ways, but they all disagree. Rejecting the opinion of them all, we, with Ptolomy, distinguish them by the temporal houses; for so it is, that there is proportional and equal division, not indeed of the heavenly and aerial space, but of the successive influx of the stars and houses; and Munitun says, appear equal and proportional. But it is our opinion, that the division of the houses, by great circles passing through the common sections of the horizon and meridian, and the twelve equal divisions of the equator, which late authors make use of, is of all, the most remote from, and abhorrent to natural truth.

第五十一条。天上的十二宫或十二舍,诸作者划分的方法多种多样,却彼此不合。我们摒弃他们所有人的意见,与托勒密一样用季节时宫来区分它们;因为确实如此,存在着按比例而相等的划分,不是天上与空中空间的划分,而是星辰与诸宫相继流入的划分;穆尼图恩也说,它们看起来相等而成比例。但我们认为,近世作者所用的那种借穿过地平与子午线公共交点的大圆、把赤道等分为十二份来划分宫位的方法,是一切方法中最远离、最违背自然真理的。

52. As many kinds of aspects as are found in the primum mobile, of which mention is already made; so many, we say, are found in the world. Wherefore, besids the usual ray, we likewise place in the world the parallels, which are in equal powers of the influx of the stars round the world.

第五十二条。第一原动天中有多少种相位(前面已经提到),我们说世界上也就有多少种。因此,除了通常的光线之外,我们也在世界上设立平行,即星辰绕世界的流入力量相等之处。

53. Several resemblances are found between the mundane parallels, and those in the primum mobile. (1.) The efficacy of the aspects in both, consists in the parity or equal power, and powers of the active virtue. (2.) As in the primum mobile, they represent the same quantity of the ascension of the signs: for example, the signs ♓ and ♈, also ♊ and ♋ ascend at the same time; with so much likeness do they exhibit the same quality of ascension and descension in the world, that the eleventh house causes an ascension equal to the descension of the ninth, and the twelfth house equal to the second, &c.

第五十三条。世界上的平行与第一原动天中的平行有好几处相似。(一)两者中相位的效力,都在于主动之力的对等或相等。(二)正如在第一原动天中,它们代表星座相同的上升量:例如双鱼与白羊、双子与巨蟹的星座在相同的时间升起;在世界上它们同样显示相同的上升与下降之量,相似到这样的程度:第十一宫的上升等于第九宫的下降,第十二宫的等于第二宫的,等等。

(3.) As the parallels in the primum mobile are equi-distant from the cardinal points of the Zodiac, so are the cardinal points of the world. (4.) As in the primum mobile, they exhibit equal temporal hours, so in the world they exhibit the equal temporal hours of the distances from the cardinals. (5.) The parallels in the primum mobile, are at an equal distance from the pole of the world; the parallels in the world have the same pole as elevation; and other resemblances, if required, will be found.

(三)正如第一原动天中的平行与黄道的基点等距,世界上的平行也与世界的基点等距。(四)正如在第一原动天中它们显示相等的季节时,在世界上它们也显示离四角距离的相等季节时。(五)第一原动天中的平行与世界之极等距;世界上的平行则具有相同的极高;其他相似之处,需要时也能找到。

54. The efficacy of all the parallels, both in the primum mobile, and in the world, consists in the parity of the degree of quality, which the stars found in the effect of the parallels; as it is plainly gathered from those which we mentioned in sect. 25; for by going through intension, and returning through remission, from the cardinal points, it happens, that they effect an equal degree of quality, as well under the primum mobile, as round the world.

第五十四条。一切平行,无论在第一原动天中还是在世界上,其效力都在于星辰在平行的效应中得到的性质程度相等;这从我们在第二十五条所说的就能清楚地推出;因为由基点出发,经历增强,又经历减退而回,就使它们产生相等程度的性质,在第一原动天之下与绕世界都是一样。

大意与图解点开

🔎 大意:宫位按季节时分,即星辰相继流入的比例,不按空间;斥近世大圆分赤道之法。世界上也有平行,即离四角等距之处。

📖 术语

术语英文原词意思
季节时宫temporal houses按季节时比例分的宫
十二舍mansions宫的别称
世界上的平行mundane parallels离四角等距的两处
极高pole某圆对应的天极高度
上升 / 下降ascension / descension升出 / 落入地平

🧭 图解与讲解

第五十一条是普拉西德斯宫制的宣言。诸家分宫之法彼此不合,他一概摒弃,追随托勒密用「季节时宫」:分的不是天空的大小,而是星辰与诸宫「相继流入」的比例(图一)。具体说,黄道上哪一度离中天恰为它自己半昼弧的三分之一,哪一度就是第十一宫头;恰为三分之二,就是第十二宫头;地平以下按半夜弧同样三分,每个宫头都落在「相等的季节时」上。第三部会用半弧比例法逐步算出。

〔图〕宫位按星辰流入的比例分,不按天空的大小分

第五十三条:两种平行的五处相似
相似之处第一原动天中的平行世界上的平行
(一)效力主动之力相等主动之力相等
(二)升降双鱼与白羊、双子与巨蟹升起时间相同第十一宫的上升等于第九宫的下降
(三)等距与黄道的基点等距与世界的四角等距
(四)季节时显示相等的季节时离四角的季节时相等
(五)极与世界之极等距具有相同的极高

他最反对的是近世作者「借穿过地平与子午线交点的大圆、把赤道等分十二份」的分宫法,即当时通行的雷格蒙塔努斯宫制,斥为「最违背自然真理」。第十七条已经预告过这一立场。原文提到的「穆尼图恩」不知何人,照原拼写音译。

第五十二至五十四条把「平行」搬到世界上(表二):第一原动天中的平行是赤纬相等、离分至点等距的两点;世界上的平行,则是离四角等距、季节时相等的两处,比如第十一宫与第九宫在中天两侧对称,一个上升的量等于另一个下降的量。两种平行的效力,都在于所受性质的程度相等,这仍是第二十五条「由基点递增递减」的道理。

55. As for the circles of position in which the significators are said to remain immoveable, and upon which they are to be directed, and their oblique ascension to be taken, those great circles passing through the common sections of the horizon and meridian, according to late authors, cannot be received; for this opinion is openly inconsistent with the precepts of Ptolemy; but those seats or parts of the circle are to be received, in which the stars having a different declination, effect equal temporal hours. From what has been said, this conclusion is drawn, and agrees with the divisions of the houses, through the two temporal hours, and with the mundane rays. For this reason, we call such a seat the horary situation of position.

56. The dignity of the planets in the signs and their parts, which are called the bounds and terminations, have a real and natural foundation; to wit, the powerful aspect or influxes, proportional to the moveable points in which the stars begin to produce the primary qualities. So that, according to those things, we have explained, in the Philosophy of the Heavens, these are found to agree so well with the Egyptian boundaries, that they are highly deserving of admiration.

翻译点开

55. As for the circles of position in which the significators are said to remain immoveable, and upon which they are to be directed, and their oblique ascension to be taken, those great circles passing through the common sections of the horizon and meridian, according to late authors, cannot be received; for this opinion is openly inconsistent with the precepts of Ptolemy; but those seats or parts of the circle are to be received, in which the stars having a different declination, effect equal temporal hours. From what has been said, this conclusion is drawn, and agrees with the divisions of the houses, through the two temporal hours, and with the mundane rays. For this reason, we call such a seat the horary situation of position.

第五十五条。至于征象星据说保持不动、要据以推运、要取其斜升的那些位置圈,近世作者所说穿过地平与子午线公共交点的那些大圆,是不能接受的;因为这个意见公然违背托勒密的规则;应当接受的是这样的位置或圆的部分:赤纬不同的星辰在其中形成相等的季节时。由所说的推出这个结论,它与按两种季节时划分宫位相合,也与世界上的光线相合。因此我们称这样的位置为位置的时位。

56. The dignity of the planets in the signs and their parts, which are called the bounds and terminations, have a real and natural foundation; to wit, the powerful aspect or influxes, proportional to the moveable points in which the stars begin to produce the primary qualities. So that, according to those things, we have explained, in the Philosophy of the Heavens, these are found to agree so well with the Egyptian boundaries, that they are highly deserving of admiration.

第五十六条。行星在星座及其部分——称为界——中的尊贵,有真实而自然的根据;就是有力的相位或流入,与星辰开始产生原初性质的那些可动的点成比例。所以,按照我们在《天的哲学》中所解释的,这些尊贵与埃及界如此吻合,实在令人赞叹。

大意与图解点开

🔎 大意:征象星的位置圈不取过地平子午交点的大圆,而取赤纬不同的星离子午线季节时相等之处;界的尊贵也有自然根据。

📖 术语

术语英文原词意思
位置圈circles of position推运时征象星所在之圈
斜升oblique ascension某纬度下与星同升的赤道度
时位horary situation of position季节时相等的位置
界bounds, terminations星座内分给五星的段
埃及界Egyptian boundaries托勒密所载的旧界

🧭 图解与讲解

第五十五条把第三十四条的话说透:征象星在推运中「保持不动」的位置圈,不能取近世作者那种穿过地平与子午线交点的大圆,因为它违背托勒密;应取的是这样的位置:赤纬不同的星辰在其中离子午线的「季节时」相等。表一是示意:半昼弧长的星,一个季节时的度数大,半昼弧短的就小;离中天同为两个季节时的三颗星,离子午线的度数各不相同,却在同一个「时位」上。

示意:三星离子午线的度数不同,却同为「两个季节时」,所以在同一个时位上
示意半昼弧一个季节时离中天两个季节时
星甲(赤纬偏北)120°20°离子午线 40°
星乙(在赤道上)90°15°离子午线 30°
星丙(赤纬偏南)60°10°离子午线 20°

〔图〕时位圈一说,宫位、推运、世界上的相位三者一贯

普拉西德斯指出,这一结论与按两种季节时分宫相合,也与世界上的光线相合(图二):宫头、推运时征象星的位置、世界上相位的比例距离,用的都是同一把尺子,即半弧的比例。这种一以贯之,是他的宫制后来流行的重要理由。斜升(oblique ascension)是某地纬度下与星同时升起的赤道度数,第二部起反复用到。

第五十六条转到尊贵:星座中的庙、旺、界等尊贵有真实而自然的根据,即与星辰开始产生原初性质的那些可动之点(第二十五条的基点)成比例的流入。他说按《天的哲学》里的解释,推出的结果与「埃及界」惊人地吻合。埃及界即托勒密《四书》卷一第二十章所载的界,本书没有展开推导,只陈述结论。

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。