第三部·第三十至三十二则 宫头附近与宫间的征象星
征象星在宫头三度以内,当作就在宫头上推;离宫头较远,就按黄金法则以时量比例求允诺星的次距,与初距相减或相加。
CANON XXX.
To direct any Significator, being placed round the Center of the Cardinal Houses, to the ☌ and ☍.
Understand this, as within 3° beyond, or on this side the cusp, the right ascension of the Prorogator, if he possesses the right circle; or the oblique, if the oblique be taken to the polar elevation of the house in which it remains; substract from the right ascension of the occurrent, or the oblique, taken to the same pole, preserving the latitude of both, and the remainder is the arc of direction required.
In the opposition, the converse latitude of the occurrent is preserved; the difference in regard to preserving the latitude, between this Canon, XVII. and XVIII. is, that the ☌ and ☍ are there taken in the Zodiac, but here in the world; those aspects in the same real longitude, but these in the horary circle: as in example, Canon XVII. the right ascension of ♀, with latitude, is 261.52, from which, substracting the right ascension of the Sun, which is 215.58, there remains the Sun's arc of direction to the ☌ of ♀ in the world 45.54.
Concerning the Sun constituted below the Earth, the things to be avoided shall be mentioned in a proper Canon, viz. XXXV. The significator, when found distant from the cusp of the house, is directed in the same manner as explained in Canon XIX. except only that the latitude of both should, as we have remarked, be preserved.
翻译点开
CANON XXX.
第三十则。
To direct any Significator, being placed round the Center of the Cardinal Houses, to the ☌ and ☍.
位于角宫中心附近的任何征象星,向会合与对冲的推运。
Understand this, as within 3° beyond, or on this side the cusp, the right ascension of the Prorogator, if he possesses the right circle; or the oblique, if the oblique be taken to the polar elevation of the house in which it remains; substract from the right ascension of the occurrent, or the oblique, taken to the same pole, preserving the latitude of both, and the remainder is the arc of direction required.
这一则要这样理解:在宫头前后三度以内;若释放星占据正圈,就取它的赤经;若取斜升,就按它所在之宫的极高来取;从来会之星的赤经中,或从在同一极高下所取的斜升中,减去它,保留两者的纬度,余数就是所求的推运弧。
In the opposition, the converse latitude of the occurrent is preserved; the difference in regard to preserving the latitude, between this Canon, XVII. and XVIII. is, that the ☌ and ☍ are there taken in the Zodiac, but here in the world; those aspects in the same real longitude, but these in the horary circle: as in example, Canon XVII. the right ascension of ♀, with latitude, is 261.52, from which, substracting the right ascension of the Sun, which is 215.58, there remains the Sun's arc of direction to the ☌ of ♀ in the world 45.54.
在对冲中,保留来会之星相反的纬度;本则与第十七、第十八则在保留纬度方面的区别是:那里的会合与对冲是在黄道上取的,这里则在世界上;那些相位在同一真实的黄经上,这些则在时圈上:例如在第十七则中,金星带纬度的赤经是二百六十一度五十二分,从中减去太阳的赤经二百一十五度五十八分,余下太阳在世界上向金星会合的推运弧四十五度五十四分。
Concerning the Sun constituted below the Earth, the things to be avoided shall be mentioned in a proper Canon, viz. XXXV. The significator, when found distant from the cusp of the house, is directed in the same manner as explained in Canon XIX. except only that the latitude of both should, as we have remarked, be preserved.
关于位于地下的太阳,应当避免的事项将在专门的一则,即第三十五则中说明。征象星离宫头较远时,推运方法与第十九则所讲的相同,只是如我们所说,两者的纬度都应保留。
大意与图解点开
🔎 大意:征象星在宫头三度内,取它在该宫极高下的上升,与来会之星同极高下的上升相减,两者都保留纬度。世界上的会合在时圈上。
📖 术语
| 术语 | 英文原词 | 意思 |
|---|---|---|
| 宫头 | cusp | 宫的起点 |
| 正圈 | right circle | 子午圈,用赤经 |
| 来会之星 | occurrent | 前来相会的星 |
| 时圈 | horary circle | 季节时相等的位置圈 |
| 真实的黄经 | real longitude | 黄道上的同一度 |
🧭 图解与讲解
第三十至三十二则讲任何征象星(不只四角)在世界上的推运。第三十则是最简单的情形:征象星就在某宫宫头前后三度以内,可当作在宫头上。它若在中天附近(占据「正圈」,即子午圈),用赤经;在别的宫,就在该宫的极高下取斜升。来会之星的上升度减去征象星的,就是推运弧;两者都保留纬度(表二)。
〔图〕同是会合:黄道上的在同一黄经,世界上的在同一时圈
| 步骤 | 算什么 | 用哪个数 | 结果 |
|---|---|---|---|
| 一 | 金星带纬度的赤经(第十七则的例子) | — | 261°52′ |
| 二 | 太阳的赤经 | — | 215°58′ |
| 三 | 太阳在世界上向金星会合的推运弧 | 261°52′ − 215°58′ | 45°54′ |
他特别说明这与第二部第十七、十八则的区别(图一):那里的会合在黄道上,是征象星前进到允诺星的同一黄经;这里在世界上,是允诺星随第一原动天被带到征象星的时圈上。两者都保留纬度,但量的圈不同,所以同一对星的两种会合,推运弧并不相同。
原书此处疑有误:说地下的太阳应避免的事项见「第三十五则」,但第三十五则讲平行,讲地下太阳的是第三十六则。离宫头较远的情形,照第十九则的比例法,也就是下文第三十二则展开的方法。
📖 术语
| 术语 | 英文原词 | 意思 |
|---|---|---|
| 宫头 | cusp | 宫的起点 |
| 正圈 | right circle | 子午圈,用赤经 |
| 来会之星 | occurrent | 前来相会的星 |
| 时圈 | horary circle | 季节时相等的位置圈 |
| 真实的黄经 | real longitude | 黄道上的同一度 |
🧭 图解与讲解
第三十至三十二则讲任何征象星(不只四角)在世界上的推运。第三十则是最简单的情形:征象星就在某宫宫头前后三度以内,可当作在宫头上。它若在中天附近(占据「正圈」,即子午圈),用赤经;在别的宫,就在该宫的极高下取斜升。来会之星的上升度减去征象星的,就是推运弧;两者都保留纬度(表二)。
| 步骤 | 算什么 | 用哪个数 | 结果 |
|---|---|---|---|
| 一 | 金星带纬度的赤经(第十七则的例子) | — | 261°52′ |
| 二 | 太阳的赤经 | — | 215°58′ |
| 三 | 太阳在世界上向金星会合的推运弧 | 261°52′ − 215°58′ | 45°54′ |
他特别说明这与第二部第十七、十八则的区别(图一):那里的会合在黄道上,是征象星前进到允诺星的同一黄经;这里在世界上,是允诺星随第一原动天被带到征象星的时圈上。两者都保留纬度,但量的圈不同,所以同一对星的两种会合,推运弧并不相同。
原书此处疑有误:说地下的太阳应避免的事项见「第三十五则」,但第三十五则讲平行,讲地下太阳的是第三十六则。离宫头较远的情形,照第十九则的比例法,也就是下文第三十二则展开的方法。
CANON XXXI.
To direct any Significator, when near Cardinal Houses, to the ⚹, □, or △.
If the significator has the same ascension exactly to minutes, as the angle, or the other houses, wherein he is found, then, as it is in the center, the directions to the sextile quartile, and trine, are made like those of the angle, as before explained: but if it is not on the cusp, exact to the minutes, provided its distance be not more then 3° of the equator, add the ascension or decension of the significator to the angle, or house, so that the significator may be constituted in the cusp of the angle or house.
According to this situation, by adding or substracting 30° you will constitute the ascensions of the other houses as usual; and by substracting the ascensions of the houses (whence the star aspects the significator) from the ascension of that star, taken under the pole of the same houses, you will have the arc of direction. As for example, in Cardinal Gymnaseus, the Sun is in the ninth house, not 3° of the equator distant from the cusp, the oblique ascension of the Sun's opposite place under the pole of the third house, which is 18, is 314°.0'.
I want to direct the Sun to the sextile of Jupiter, which Jupiter has to the Sun from the center of the west, wherefore I substract 60 from the oblique ascension of the third house, constituted in the Sun's opposite, and there remains the horoscope's oblique ascension 254.0, that is, supposing that the Sun remains in the center of the ninth house, though indeed it is about 3° distance.
Lastly, I substract this ascension of the horoscope 254 from the oblique ascension of Jupiter's opposite, taken in the horoscope, which is 296.52, and there remains the arc of direction, 42.52, for the subsequent square which Jupiter has to the Sun from the sixth house, I add to this arc of direction, the duplicate horary nocturnal times of ♃, by reason that the 6th house is below the Earth: for the △ I add again the duplicate horary nocturnal times of ♃.

翻译点开
CANON XXXI.
第三十一则。
To direct any Significator, when near Cardinal Houses, to the ⚹, □, or △.
任何征象星在角宫附近时,向六分、四分或三分的推运。
If the significator has the same ascension exactly to minutes, as the angle, or the other houses, wherein he is found, then, as it is in the center, the directions to the sextile quartile, and trine, are made like those of the angle, as before explained: but if it is not on the cusp, exact to the minutes, provided its distance be not more then 3° of the equator, add the ascension or decension of the significator to the angle, or house, so that the significator may be constituted in the cusp of the angle or house.
若征象星与它所在的角或其他宫的上升度精确到分都相同,那么它就在中心,向六分、四分、三分的推运就像前面所讲那个角的推运一样做;但若它不精确到分地在宫头上,只要它的距离不超过赤道上三度,就把征象星的上升或下降加给那个角或宫,使征象星被设定在该角或宫的宫头上。
According to this situation, by adding or substracting 30° you will constitute the ascensions of the other houses as usual; and by substracting the ascensions of the houses (whence the star aspects the significator) from the ascension of that star, taken under the pole of the same houses, you will have the arc of direction. As for example, in Cardinal Gymnaseus, the Sun is in the ninth house, not 3° of the equator distant from the cusp, the oblique ascension of the Sun's opposite place under the pole of the third house, which is 18, is 314°.0'.
按这个位置,加上或减去三十度,你就照常设定其余诸宫的上升;从那颗星的上升(在同一些宫的极高下所取)中减去诸宫的上升(星从那些宫对征象星成相位),就得推运弧。例如在吉纳西枢机的本命中,太阳在第九宫,离宫头不到赤道上三度,太阳对面之点在第三宫极高下的斜升,该极高为十八度,是三百一十四度零分。
I want to direct the Sun to the sextile of Jupiter, which Jupiter has to the Sun from the center of the west, wherefore I substract 60 from the oblique ascension of the third house, constituted in the Sun's opposite, and there remains the horoscope's oblique ascension 254.0, that is, supposing that the Sun remains in the center of the ninth house, though indeed it is about 3° distance.
我要把太阳推向木星的六分,这是木星从西方的中心对太阳所成的;所以我从设定在太阳对面之点的第三宫斜升中减去六十,余下上升点的斜升二百五十四度零分,即假定太阳停在第九宫的中心,其实它离那里约有三度。
Lastly, I substract this ascension of the horoscope 254 from the oblique ascension of Jupiter's opposite, taken in the horoscope, which is 296.52, and there remains the arc of direction, 42.52, for the subsequent square which Jupiter has to the Sun from the sixth house, I add to this arc of direction, the duplicate horary nocturnal times of ♃, by reason that the 6th house is below the Earth: for the △ I add again the duplicate horary nocturnal times of ♃.
最后,我从在上升点所取的木星对面之点的斜升二百九十六度五十二分中,减去这上升点的斜升二百五十四,余下推运弧四十二度五十二分;为求随后的四分,即木星从第六宫对太阳所成的,我在这推运弧上加木星的双倍夜时量,因为第六宫在地平以下:为求三分,再加一次木星的双倍夜时量。
大意与图解点开
🔎 大意:把征象星当作在宫头上,其余诸宫按三十度递推。吉纳西枢机的太阳在第九宫,向木星从西方来的六分,推运弧四十二度五十二分。
📖 术语
| 术语 | 英文原词 | 意思 |
|---|---|---|
| 中心 | center | 即宫头 |
| 下降 | descension | 斜降,与斜升相对 |
| 吉纳西枢机 | Cardinal Gymnaseus | 十七世纪枢机,原书例盘 |
| 双倍夜时量 | duplicate horary nocturnal times | 地平下的一宫 |
| 西方 | west | 下降点,第七宫宫头 |
🧭 图解与讲解
第三十一则:征象星在宫头附近(赤道上三度以内)时,就把它当作正在宫头上,即把那一宫的上升度改设为征象星的上升度,其余诸宫按三十度递加递减(每宫在各自极高下的斜升相差三十度)。然后允诺星在哪一宫的极高下对征象星成光线,就取它在该极高下的斜升,减去该宫的斜升(表一)。
| 步骤 | 算什么 | 用哪个数 | 结果 |
|---|---|---|---|
| 一 | 把太阳设在第九宫宫头:太阳对面之点在第三宫极高(18°)下的斜升 | — | 314°0′,即第三宫的斜升 |
| 二 | 由第三宫推上升点:两宫之差六十度 | 314°0′ − 60° | 254°0′ |
| 三 | 木星对面之点在上升点极高下的斜升 | — | 296°52′ |
| 四 | 太阳 → 木星六分(木星到西方) | 296°52′ − 254°0′ | 42°52′ |
| 五 | 太阳 → 木星四分(木星到第六宫) | 42°52′ + 木星双倍夜时量 | 原书未给数 |
| 六 | 太阳 → 木星三分(木星到第五宫) | 再加木星双倍夜时量 | 原书未给数 |
〔图〕太阳当作在第九宫宫头,木星依次到达西方、第六宫、第五宫
例子是吉纳西枢机(Cardinal Gymnaseus)的本命:太阳在第九宫,离宫头不到三度。地平以下的宫用对面之点来量,所以取太阳对面之点在第三宫极高(十八度)下的斜升三百一十四度,作为第三宫的斜升;减去六十度,得上升点的斜升二百五十四度。木星从西方对太阳成六分(第九宫到第七宫隔两宫),所以取木星对面之点在上升点极高下的斜升,减去二百五十四度,得四十二度五十二分。
此后木星继续下行,过西方进入第六宫、第五宫,分别与太阳成四分、三分(图二)。这两段在地平以下,所以每过一宫加木星的两个夜时量。原书没有算出这两个数,只给了方法。
📖 术语
| 术语 | 英文原词 | 意思 |
|---|---|---|
| 中心 | center | 即宫头 |
| 下降 | descension | 斜降,与斜升相对 |
| 吉纳西枢机 | Cardinal Gymnaseus | 十七世纪枢机,原书例盘 |
| 双倍夜时量 | duplicate horary nocturnal times | 地平下的一宫 |
| 西方 | west | 下降点,第七宫宫头 |
🧭 图解与讲解
第三十一则:征象星在宫头附近(赤道上三度以内)时,就把它当作正在宫头上,即把那一宫的上升度改设为征象星的上升度,其余诸宫按三十度递加递减(每宫在各自极高下的斜升相差三十度)。然后允诺星在哪一宫的极高下对征象星成光线,就取它在该极高下的斜升,减去该宫的斜升(表一)。
| 步骤 | 算什么 | 用哪个数 | 结果 |
|---|---|---|---|
| 一 | 把太阳设在第九宫宫头:太阳对面之点在第三宫极高(18°)下的斜升 | — | 314°0′,即第三宫的斜升 |
| 二 | 由第三宫推上升点:两宫之差六十度 | 314°0′ − 60° | 254°0′ |
| 三 | 木星对面之点在上升点极高下的斜升 | — | 296°52′ |
| 四 | 太阳 → 木星六分(木星到西方) | 296°52′ − 254°0′ | 42°52′ |
| 五 | 太阳 → 木星四分(木星到第六宫) | 42°52′ + 木星双倍夜时量 | 原书未给数 |
| 六 | 太阳 → 木星三分(木星到第五宫) | 再加木星双倍夜时量 | 原书未给数 |
例子是吉纳西枢机(Cardinal Gymnaseus)的本命:太阳在第九宫,离宫头不到三度。地平以下的宫用对面之点来量,所以取太阳对面之点在第三宫极高(十八度)下的斜升三百一十四度,作为第三宫的斜升;减去六十度,得上升点的斜升二百五十四度。木星从西方对太阳成六分(第九宫到第七宫隔两宫),所以取木星对面之点在上升点极高下的斜升,减去二百五十四度,得四十二度五十二分。
此后木星继续下行,过西方进入第六宫、第五宫,分别与太阳成四分、三分(图二)。这两段在地平以下,所以每过一宫加木星的两个夜时量。原书没有算出这两个数,只给了方法。
CANON XXXII.
To direct any Significator, when found out of the Center of the Cardinals and Houses, to the ⚹, □, and △.
Find the horary times of the significator, or its semi-diurnal arc, if it be above the earth; or its semi-nocturnal arc, if below, and the distance of the centers of the preceding or succeeding houses, as you please. Find also the horary times, the semi-diurnal arc, or semi-nocturnal arc of the promittors, with this proviso, if the promittor's ray, to which you direct the significators, projects from places above the earth, take the diurnal horary times, or semi-diurnal arc; and below the earth, the nocturnal horary times, or the semi-nocturnal arc; but that you will know from the houses; for the whole tenth house has all the eleventh and eighth houses for the sextile; to the first and seventh, for a quartile; the second and sixth, for trine; and so of the rest.—Query, By the Golden Rule, if the horary times of the significator give its distance from the house, what will be the distance of the promittor's horary times?
The fourth number that is produced, is the secondary distance of the promittor from the center of either the preceding or succeeding house, after the same manner you have seen of the significator; from this house, the ray is emitted by that promittor to the significator, wherefore, if that house precedes the promittor in both distances, primary and secondary, substract the lesser from the greater. So also, if it follows in both the distances.
翻译点开
CANON XXXII.
第三十二则。
To direct any Significator, when found out of the Center of the Cardinals and Houses, to the ⚹, □, and △.
任何征象星在角宫与诸宫的中心以外时,向六分、四分与三分的推运。
Find the horary times of the significator, or its semi-diurnal arc, if it be above the earth; or its semi-nocturnal arc, if below, and the distance of the centers of the preceding or succeeding houses, as you please. Find also the horary times, the semi-diurnal arc, or semi-nocturnal arc of the promittors, with this proviso, if the promittor's ray, to which you direct the significators, projects from places above the earth, take the diurnal horary times, or semi-diurnal arc; and below the earth, the nocturnal horary times, or the semi-nocturnal arc; but that you will know from the houses; for the whole tenth house has all the eleventh and eighth houses for the sextile; to the first and seventh, for a quartile; the second and sixth, for trine; and so of the rest.—Query, By the Golden Rule, if the horary times of the significator give its distance from the house, what will be the distance of the promittor's horary times?
求出征象星的时量,若它在地平以上,就求其半昼弧;若在地平以下,求其半夜弧;以及它离前面或后面那一宫中心的距离,随你取哪一个。再求出允诺星的时量、半昼弧或半夜弧,但有这样一个附带条件:若你把征象星推向的那个允诺星的光线,是从地平以上的位置投射来的,就取昼时量或半昼弧;若在地平以下,就取夜时量或半夜弧;这从诸宫就可以知道:因为整个第十宫以整个第十一宫与第八宫为六分;以第一宫与第七宫为四分;以第二宫与第六宫为三分;其余依此类推。——问:按黄金法则,若征象星的时量得出它离宫的距离,允诺星的时量将得出多少距离?
The fourth number that is produced, is the secondary distance of the promittor from the center of either the preceding or succeeding house, after the same manner you have seen of the significator; from this house, the ray is emitted by that promittor to the significator, wherefore, if that house precedes the promittor in both distances, primary and secondary, substract the lesser from the greater. So also, if it follows in both the distances.
所得的第四个数,就是允诺星离前面或后面那一宫中心的次距,与你所见的征象星的情形相同;允诺星从这一宫向征象星发出光线,所以,若这一宫在初距与次距两者中都在允诺星之前,就从大的中减去小的。若两者中都在其后,也一样。
大意与图解点开
🔎 大意:征象星离宫头较远时:征象星的时量比它离宫的距离,等于允诺星的时量比允诺星的次距;初距、次距同侧相减,跨宫头相加。
📖 术语
| 术语 | 英文原词 | 意思 |
|---|---|---|
| 黄金法则 | Golden Rule | 即比例三率法 |
| 第四个数 | fourth number | 比例式求出的那一项 |
| 附带条件 | proviso | 取昼或夜时量的规定 |
| 初距 | primary distance | 本命时离宫头的距离 |
| 次距 | secondary distance | 光线成立时应有的距离 |
🧭 图解与讲解
第三十二则是第三部的核心算法:征象星不在宫头上时,怎样求世界上的相位。世界上的光线成立,就是两颗星离各自的宫头在比例上相等。比例的尺是时量:征象星离宫头有多少,就看它占自己几个时量;允诺星离发出光线的那一宫,也要占它自己同样多的时量(图一)。所以按黄金法则:征象星的时量 ∶ 征象星离宫的距离 = 允诺星的时量 ∶ 允诺星的次距。
〔图〕第三十二则的比例:征象星离宫头占几个时量,允诺星离发光之宫也要占同样几个时量
| 第十宫的光线 | 原书所列 | 按「隔两宫、三宫、四宫」推 |
|---|---|---|
| 六分 | 第十一宫与第八宫 | 第十二宫与第八宫 |
| 四分 | 第一宫与第七宫 | 第一宫与第七宫 |
| 三分 | 第二宫与第六宫 | 第二宫与第六宫 |
求出的次距与允诺星本命时离该宫的初距比较:两者在宫头同一侧就大减小,允诺星在推运中跨过了宫头就相加,得推运弧。允诺星的时量取昼取夜,看光线从地上还是地下的宫发出,这要先由宫位判断。
原书此处疑有误:说第十宫以第十一宫与第八宫为六分。按第三部开头的规则,六分隔两宫,第十宫的六分应是第十二宫与第八宫(表二)。
📖 术语
| 术语 | 英文原词 | 意思 |
|---|---|---|
| 黄金法则 | Golden Rule | 即比例三率法 |
| 第四个数 | fourth number | 比例式求出的那一项 |
| 附带条件 | proviso | 取昼或夜时量的规定 |
| 初距 | primary distance | 本命时离宫头的距离 |
| 次距 | secondary distance | 光线成立时应有的距离 |
🧭 图解与讲解
第三十二则是第三部的核心算法:征象星不在宫头上时,怎样求世界上的相位。世界上的光线成立,就是两颗星离各自的宫头在比例上相等。比例的尺是时量:征象星离宫头有多少,就看它占自己几个时量;允诺星离发出光线的那一宫,也要占它自己同样多的时量(图一)。所以按黄金法则:征象星的时量 ∶ 征象星离宫的距离 = 允诺星的时量 ∶ 允诺星的次距。
| 第十宫的光线 | 原书所列 | 按「隔两宫、三宫、四宫」推 |
|---|---|---|
| 六分 | 第十一宫与第八宫 | 第十二宫与第八宫 |
| 四分 | 第一宫与第七宫 | 第一宫与第七宫 |
| 三分 | 第二宫与第六宫 | 第二宫与第六宫 |
求出的次距与允诺星本命时离该宫的初距比较:两者在宫头同一侧就大减小,允诺星在推运中跨过了宫头就相加,得推运弧。允诺星的时量取昼取夜,看光线从地上还是地下的宫发出,这要先由宫位判断。
原书此处疑有误:说第十宫以第十一宫与第八宫为六分。按第三部开头的规则,六分隔两宫,第十宫的六分应是第十二宫与第八宫(表二)。
But finally, if in the one distance it precedes, in the other it follows; so that the promittor, by the motion of the direction, has passed through its cusp, add both distances, and the remainder or sum is the arc of direction required. Let the example be in Cardinal Salviatis.—I would direct the ☽ to the □ of ♃, which has this ray to the ☽ from the sixth house. The ☽'s horary times diurnal, are 19.5; distance from the medium cœli, 10.24. ♃'s horary times nocturnal, is 14.32, and distance from the seventh house, 8.59.
For the oblique ascension of the ☍ of ♃ is 193.1; from which, substracting the oblique ascension of the horoscope, there remains the distance 8.59 of Jupiter. But by the Golden Rule, there arises the secondary distance of ♃ from the west 7.55, which, added to the primary, because ♃ in the nativity is above the west, and is placed below, when the direction is complete, makes the arc of direction 16.54.
To this direction of the duplicate horary times nocturnal of ♃, be added, as he now surrounds the lower hemisphere, the arc of direction to the △ of ♃ is 45.48; but if you want the ☽'s direction to the ⚹ of ♄, take the horary times diurnal of ♄, together with its primary distance from the twelfth house, the fourth emerging number is the secondary distance from the twelfth house; from which, substracting the primary, because the distance from both is from the succedent house, and the remainder is the arc of direction required.
If you want the ☽'s direction to the △ of ♀, find the horary times nocturnal of ♀, as it is below the Earth; and its distance from the sixth house, by the oblique ascension of the opposite places at the twelfth house. The fourth number that is produced, is a secondary distance of ♀ from the sixth house; from which, substract the primary, which is less, from the secondary, as the distance of both is from the succedent house, and the remainder is the arc of direction required.
And observe, that the first number of the Golden Rule, is always either the semi-diurnal arc, or the horary times of the significator; the second is the distance of the same from one house.

翻译点开
But finally, if in the one distance it precedes, in the other it follows; so that the promittor, by the motion of the direction, has passed through its cusp, add both distances, and the remainder or sum is the arc of direction required. Let the example be in Cardinal Salviatis.—I would direct the ☽ to the □ of ♃, which has this ray to the ☽ from the sixth house. The ☽'s horary times diurnal, are 19.5; distance from the medium cœli, 10.24. ♃'s horary times nocturnal, is 14.32, and distance from the seventh house, 8.59.
但最后,若在一个距离中它在前,在另一个中在后,以致允诺星借推运的运动越过了这一宫的宫头,就把两个距离相加,余数或和数就是所求的推运弧。以萨尔维亚蒂枢机为例。——我要把月亮推向木星的四分,这是木星从第六宫对月亮所成的光线。月亮的昼时量是十九度五分;离中天的距离十度二十四分。木星的夜时量是十四度三十二分,离第七宫的距离八度五十九分。
For the oblique ascension of the ☍ of ♃ is 193.1; from which, substracting the oblique ascension of the horoscope, there remains the distance 8.59 of Jupiter. But by the Golden Rule, there arises the secondary distance of ♃ from the west 7.55, which, added to the primary, because ♃ in the nativity is above the west, and is placed below, when the direction is complete, makes the arc of direction 16.54.
因为木星对冲之点的斜升是一百九十三度一分;从中减去上升点的斜升,余下木星的距离八度五十九分。按黄金法则,得出木星离西方的次距七度五十五分;因为木星在本命中在西方之上,而推运完成时位于其下,所以把它加到初距上,得推运弧十六度五十四分。
To this direction of the duplicate horary times nocturnal of ♃, be added, as he now surrounds the lower hemisphere, the arc of direction to the △ of ♃ is 45.48; but if you want the ☽'s direction to the ⚹ of ♄, take the horary times diurnal of ♄, together with its primary distance from the twelfth house, the fourth emerging number is the secondary distance from the twelfth house; from which, substracting the primary, because the distance from both is from the succedent house, and the remainder is the arc of direction required.
在这推运上加木星的双倍夜时量,因为它此时绕行在下半球,向木星三分的推运弧是四十五度四十八分;但若你要月亮向土星六分的推运,就取土星的昼时量,连同它离第十二宫的初距,所得第四个数就是离第十二宫的次距;从中减去初距,因为两者的距离都从后面那一宫起算,余数就是所求的推运弧。
If you want the ☽'s direction to the △ of ♀, find the horary times nocturnal of ♀, as it is below the Earth; and its distance from the sixth house, by the oblique ascension of the opposite places at the twelfth house. The fourth number that is produced, is a secondary distance of ♀ from the sixth house; from which, substract the primary, which is less, from the secondary, as the distance of both is from the succedent house, and the remainder is the arc of direction required.
若你要月亮向金星三分的推运,就求金星的夜时量,因为它在地平以下;以及它离第六宫的距离,用在第十二宫的对面诸点的斜升来求。所得的第四个数就是金星离第六宫的次距;因两者的距离都从后面那一宫起算,就从次距中减去较小的初距,余数就是所求的推运弧。
And observe, that the first number of the Golden Rule, is always either the semi-diurnal arc, or the horary times of the significator; the second is the distance of the same from one house.
还要注意,黄金法则的第一个数,总是征象星的半昼弧或时量;第二个是它离某一宫的距离。
大意与图解点开
🔎 大意:萨尔维亚蒂枢机的月亮近中天,向木星四分:次距七度五十五分加初距得十六度五十四分;再加两个夜时量得三分。
📖 术语
| 术语 | 英文原词 | 意思 |
|---|---|---|
| 萨尔维亚蒂枢机 | Cardinal Salviatis | 原书例盘之一 |
| 下半球 | lower hemisphere | 地平以下的半个天球 |
| 后面那一宫 | succedent house | 随后升起的宫 |
| 对面诸点 | opposite places | 在地平上的对点 |
🧭 图解与讲解
例子是萨尔维亚蒂枢机的本命(表一)。月亮在中天附近,离中天十度二十四分,昼时量十九度五分;木星本命在西方之上八度五十九分,夜时量十四度三十二分。月亮离中天占它自己的若干时量,木星就要在西方之下占它自己同样多的夜时量:十度二十四分乘十四度三十二分、除以十九度五分,得七度五十五分。木星本命在西方之上,推运完成时在西方之下,跨过了宫头,所以两距相加,得十六度五十四分(图二)。
| 步骤 | 算什么 | 用哪个数 | 结果 |
|---|---|---|---|
| 一 | 月亮:昼时量;离中天的初距 | — | 19°5′;10°24′ |
| 二 | 木星:夜时量;离西方的初距 | 木星对冲之点的斜升 193°1′ − 上升点的斜升 | 14°32′;8°59′ |
| 三 | 黄金法则:木星离西方的次距 | 10°24′ × 14°32′ ÷ 19°5′ | 7°55′ |
| 四 | 月亮 → 木星四分:木星跨过西方,两距相加 | 8°59′ + 7°55′ | 16°54′ |
| 五 | 月亮 → 木星三分:再加木星两个夜时量 | 16°54′ + 2 × 14°32′(29°4′) | 45°58′(原书作 45°48′) |
〔图〕初距与次距在宫头哪一侧,决定相减还是相加
原书此处数字疑有误:向三分要再加木星的两个夜时量二十九度四分,十六度五十四分加二十九度四分应是四十五度五十八分,原书作「四十五度四十八分」。下一则引用同一数字仍作四十五度四十八分,但由它推出的倍五分六十九度十四分,只有从四十五度五十八分才能得出,可见当作五十八分。
土星、金星两例只给方法:土星从第十二宫、金星从第六宫发光,初距与次距都在后面那一宫的同一侧,所以相减。最后一句重申黄金法则的次序:第一个数是征象星的时量(或半弧),第二个是它离宫的距离,第三个是允诺星的时量,求出的第四个数是允诺星的次距。
📖 术语
| 术语 | 英文原词 | 意思 |
|---|---|---|
| 萨尔维亚蒂枢机 | Cardinal Salviatis | 原书例盘之一 |
| 下半球 | lower hemisphere | 地平以下的半个天球 |
| 后面那一宫 | succedent house | 随后升起的宫 |
| 对面诸点 | opposite places | 在地平上的对点 |
🧭 图解与讲解
例子是萨尔维亚蒂枢机的本命(表一)。月亮在中天附近,离中天十度二十四分,昼时量十九度五分;木星本命在西方之上八度五十九分,夜时量十四度三十二分。月亮离中天占它自己的若干时量,木星就要在西方之下占它自己同样多的夜时量:十度二十四分乘十四度三十二分、除以十九度五分,得七度五十五分。木星本命在西方之上,推运完成时在西方之下,跨过了宫头,所以两距相加,得十六度五十四分(图二)。
| 步骤 | 算什么 | 用哪个数 | 结果 |
|---|---|---|---|
| 一 | 月亮:昼时量;离中天的初距 | — | 19°5′;10°24′ |
| 二 | 木星:夜时量;离西方的初距 | 木星对冲之点的斜升 193°1′ − 上升点的斜升 | 14°32′;8°59′ |
| 三 | 黄金法则:木星离西方的次距 | 10°24′ × 14°32′ ÷ 19°5′ | 7°55′ |
| 四 | 月亮 → 木星四分:木星跨过西方,两距相加 | 8°59′ + 7°55′ | 16°54′ |
| 五 | 月亮 → 木星三分:再加木星两个夜时量 | 16°54′ + 2 × 14°32′(29°4′) | 45°58′(原书作 45°48′) |
原书此处数字疑有误:向三分要再加木星的两个夜时量二十九度四分,十六度五十四分加二十九度四分应是四十五度五十八分,原书作「四十五度四十八分」。下一则引用同一数字仍作四十五度四十八分,但由它推出的倍五分六十九度十四分,只有从四十五度五十八分才能得出,可见当作五十八分。
土星、金星两例只给方法:土星从第十二宫、金星从第六宫发光,初距与次距都在后面那一宫的同一侧,所以相减。最后一句重申黄金法则的次序:第一个数是征象星的时量(或半弧),第二个是它离宫的距离,第三个是允诺星的时量,求出的第四个数是允诺星的次距。
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。