卷一·第四至五章 求上升点;上升晷针
不靠天文观测,凭日月度数、日期与时辰「手算」上升星座与度数的十来种方法,附三个算例与四年周期之说。
IV. On Finding the Ascendant.
Having learned exactly at how many degrees the Sun stands at the nativity, see where its dodecatemory falls; and wherever it falls, the left trine of that sign will be in the Ascendant, or else the signs of like kind, that is, masculine or feminine, once you have taken note of the difference between night and day. For example, let the Sun be at Aquarius 22°; its dodecatemory ended in Scorpio; the left trine of Scorpio is Pisces. If, then, the nativity was diurnal, Pisces must be in the Ascendant, or Taurus or Cancer; if nocturnal, the signs opposite these: Capricorn will be in the Ascendant at the first hour.
Having ascertained exactly at how many degrees the Sun stands, by day add to these the rising time of the sign in which the Sun happens to be, and count off from the Moon's position at the nativity, giving one degree to each sign; wherever the count ends, there is the Ascendant, or, as stated above, in the signs of like kind. By night, add the rising time of the Moon's sign and count off from the Sun's position at the nativity. For example, in the example set out above, the Sun is in Aquarius and the Moon in Scorpio; to these degrees I added the rising time of the sign, 37; the total is 59. These I counted off from the Sun; the count ended in Capricorn; there is the Ascendant.
翻译点开
IV. On Finding the Ascendant.
第四章 论求上升点
Having learned exactly at how many degrees the Sun stands at the nativity, see where its dodecatemory falls; and wherever it falls, the left trine of that sign will be in the Ascendant, or else the signs of like kind, that is, masculine or feminine, once you have taken note of the difference between night and day. For example, let the Sun be at Aquarius 22°; its dodecatemory ended in Scorpio; the left trine of Scorpio is Pisces. If, then, the nativity was diurnal, Pisces must be in the Ascendant, or Taurus or Cancer; if nocturnal, the signs opposite these: Capricorn will be in the Ascendant at the first hour.
先确切弄清出生时太阳在多少度,再看它的十二分部落在哪里;落在哪里,那个星座的左方三分就会上升,或者是同类的星座,即阳性或阴性的,这要你留意夜与昼的分别。例如,设太阳在水瓶二十二度;它的十二分部止于天蝎;天蝎的左方三分是双鱼。所以,如果本命是白天的,上升的必是双鱼,或金牛,或巨蟹;如果是夜里的,就是这些星座的对面:第一小时上升的将是摩羯。
Having ascertained exactly at how many degrees the Sun stands, by day add to these the rising time of the sign in which the Sun happens to be, and count off from the Moon's position at the nativity, giving one degree to each sign; wherever the count ends, there is the Ascendant, or, as stated above, in the signs of like kind. By night, add the rising time of the Moon's sign and count off from the Sun's position at the nativity. For example, in the example set out above, the Sun is in Aquarius and the Moon in Scorpio; to these degrees I added the rising time of the sign, 37; the total is 59. These I counted off from the Sun; the count ended in Capricorn; there is the Ascendant.
确切查明太阳在多少度后,白天就在这些度数上加上太阳所在星座的上升时间,从本命月亮的位置数起,每个星座给一度;数到哪里止,哪里就是上升点,或者如上所说,在同类星座中。夜里则加上月亮所在星座的上升时间,从本命太阳的位置数起。例如,在上面举的例子里,太阳在水瓶,月亮在天蝎;我在这些度数上加上那个星座的上升时间三十七,合计五十九。我从太阳数起这些数,数止于摩羯;那里就是上升点。
大意与图解点开
🔎 大意:两种求上升星座的手算法:一由太阳的十二分部取其左方三分,二由太阳度数加上升时间逐座数去;同一例都得摩羯。
📖 术语
| 术语 | 英文原词 | 意思 |
|---|---|---|
| 十二分部 | dodecatemory | 一座再分十二小份 |
| 左方三分 | left trine | 顺星座次序的三分 |
| 同类的星座 | signs of like kind | 同为阳性或阴性 |
| 上升时间 | rising time | 一座升起所需赤道度 |
| 数去 | count off | 逐座或逐度数过去 |
🧭 图解与讲解
第四章起,书从「性质」转入「计算」。古代占星家若不知道准确的出生时刻,或没有星盘仪可用,就要靠日月的度数、日期与时辰来「手算」上升点。本章一口气给出十来种方法,有的只求上升的星座,有的求到度数,算法大多只有一两句,算例很少,本站把算例改写成步骤表。
| 步骤 | 第一法:十二分部(第二行算例) | 数值 |
|---|---|---|
| 一 | 查太阳度数 | 水瓶 22° |
| 二 | 求太阳的十二分部 | 原书:落在天蝎 |
| 三 | 取天蝎的左方三分 | 双鱼 |
| 四 | 白天:取双鱼或同类(阴性)星座 | 双鱼、金牛、巨蟹 |
| 五 | 夜里:取它们的对面 | 处女、天蝎、摩羯 |
| 六 | 夜里第一小时 | 上升在摩羯 |
| 步骤 | 第二法:加上升时间(第三行算例) | 数值 |
|---|---|---|
| 一 | 太阳度数 | 22 |
| 二 | 夜生:加月亮所在星座(天蝎)的上升时间 | + 37 |
| 三 | 合计 | 59 |
| 四 | 夜生:从太阳所在的水瓶起,每座数一 | 59 = 4 × 12 + 11 |
| 五 | 原书所得 | 数止于摩羯,上升在摩羯 |
第一法(表一):先求太阳的十二分部(dodecatemory,把一个星座再分成十二小份,每份二度半,各配一个星座),取那个星座的「左方三分」,即顺星座次序往后数一百二十度的那座;白天就是它或同类(同为阳性或阴性)的星座上升,夜里取对面。例中太阳在水瓶二十二度,原书说十二分部在天蝎,左方三分是双鱼;夜里第一小时,取对面的摩羯。
第二法(表二):把太阳度数加上一个星座的上升时间(这个星座一共要多少「赤道时度」才升过地平,第七章细讲),再从日或月的位置每座数一。例中二十二加三十七得五十九,从水瓶数起,原书说数止于摩羯。两法都得摩羯,作者以此互相印证。表一的十二分部若照卷九的算法(度数乘十二,从本座数起)会落在天秤而非天蝎,原书没有交代它用的算法,本站照原文列出。
📖 术语
| 术语 | 英文原词 | 意思 |
|---|---|---|
| 十二分部 | dodecatemory | 一座再分十二小份 |
| 左方三分 | left trine | 顺星座次序的三分 |
| 同类的星座 | signs of like kind | 同为阳性或阴性 |
| 上升时间 | rising time | 一座升起所需赤道度 |
| 数去 | count off | 逐座或逐度数过去 |
🧭 图解与讲解
第四章起,书从「性质」转入「计算」。古代占星家若不知道准确的出生时刻,或没有星盘仪可用,就要靠日月的度数、日期与时辰来「手算」上升点。本章一口气给出十来种方法,有的只求上升的星座,有的求到度数,算法大多只有一两句,算例很少,本站把算例改写成步骤表。
| 步骤 | 第一法:十二分部(第二行算例) | 数值 |
|---|---|---|
| 一 | 查太阳度数 | 水瓶 22° |
| 二 | 求太阳的十二分部 | 原书:落在天蝎 |
| 三 | 取天蝎的左方三分 | 双鱼 |
| 四 | 白天:取双鱼或同类(阴性)星座 | 双鱼、金牛、巨蟹 |
| 五 | 夜里:取它们的对面 | 处女、天蝎、摩羯 |
| 六 | 夜里第一小时 | 上升在摩羯 |
| 步骤 | 第二法:加上升时间(第三行算例) | 数值 |
|---|---|---|
| 一 | 太阳度数 | 22 |
| 二 | 夜生:加月亮所在星座(天蝎)的上升时间 | + 37 |
| 三 | 合计 | 59 |
| 四 | 夜生:从太阳所在的水瓶起,每座数一 | 59 = 4 × 12 + 11 |
| 五 | 原书所得 | 数止于摩羯,上升在摩羯 |
第一法(表一):先求太阳的十二分部(dodecatemory,把一个星座再分成十二小份,每份二度半,各配一个星座),取那个星座的「左方三分」,即顺星座次序往后数一百二十度的那座;白天就是它或同类(同为阳性或阴性)的星座上升,夜里取对面。例中太阳在水瓶二十二度,原书说十二分部在天蝎,左方三分是双鱼;夜里第一小时,取对面的摩羯。
第二法(表二):把太阳度数加上一个星座的上升时间(这个星座一共要多少「赤道时度」才升过地平,第七章细讲),再从日或月的位置每座数一。例中二十二加三十七得五十九,从水瓶数起,原书说数止于摩羯。两法都得摩羯,作者以此互相印证。表一的十二分部若照卷九的算法(度数乘十二,从本座数起)会落在天秤而非天蝎,原书没有交代它用的算法,本站照原文列出。
Take the number of days from Thoth to the day of birth, multiply the hours by fifteen, and add the result to the first number; then count off in thirties, by day from Capricorn, by night from Pisces. Or again, multiply the hours by 15, add the Sun's degrees, and count off by day from the Sun itself according to the rising times of the clime of birth, by night from the Ascendant according to the rising times. The mystical and compelling Ascendant is found thus: in a diurnal nativity the seminal trine of the Sun, or its sextiles, will be in the Ascendant; in a nocturnal one, the signs opposite these. So even without the hour, if you ascertain whether it was night or day, you will find the sign in the Ascendant.
For a detailed finding of the Ascendant to the degree, proceed thus. Multiply the hours of birth by the Moon's course and count off by day from the Sun's degree, by night from the opposite degree; and wherever the count ends, at so many degrees the Ascendant will be judged to be. Let there be as an example: year 4 of Hadrian, Mechir 13, 1st hour of the night; the Sun at Aquarius 22°, the Moon at Scorpio 7°; the Moon's course on the 14th day from the epoch, 13°52'. I entered the instrument set out above at the 14 degrees in the first row, and found beneath, at the first hour, 16 hours. These I counted off from the degree opposite the Sun, Leo 22°; the count ended in Capricorn at about the 8th degree. And if somehow, from the reckoning of rising times, it is found to be more or fewer degrees, it will be known from the procedure set out above whether the hour has an addition or a subtraction.

翻译点开
Take the number of days from Thoth to the day of birth, multiply the hours by fifteen, and add the result to the first number; then count off in thirties, by day from Capricorn, by night from Pisces. Or again, multiply the hours by 15, add the Sun's degrees, and count off by day from the Sun itself according to the rising times of the clime of birth, by night from the Ascendant according to the rising times. The mystical and compelling Ascendant is found thus: in a diurnal nativity the seminal trine of the Sun, or its sextiles, will be in the Ascendant; in a nocturnal one, the signs opposite these. So even without the hour, if you ascertain whether it was night or day, you will find the sign in the Ascendant.
取从托特月到出生之日的天数,把时辰乘以十五,加到前一个数上;然后以三十为一份数去,白天从摩羯数起,夜里从双鱼数起。或者再把时辰乘以十五,加上太阳的度数,白天从太阳本身数起,按出生地气候带的上升时间计;夜里从上升点数起,按上升时间计。神秘而必然的上升点这样求得:白天的本命,太阳的种子三方或其六分会上升;夜里的本命,则是它们的对面。所以即使没有时辰,只要你查明是夜是昼,就能找到上升的星座。
For a detailed finding of the Ascendant to the degree, proceed thus. Multiply the hours of birth by the Moon's course and count off by day from the Sun's degree, by night from the opposite degree; and wherever the count ends, at so many degrees the Ascendant will be judged to be. Let there be as an example: year 4 of Hadrian, Mechir 13, 1st hour of the night; the Sun at Aquarius 22°, the Moon at Scorpio 7°; the Moon's course on the 14th day from the epoch, 13°52'. I entered the instrument set out above at the 14 degrees in the first row, and found beneath, at the first hour, 16 hours. These I counted off from the degree opposite the Sun, Leo 22°; the count ended in Capricorn at about the 8th degree. And if somehow, from the reckoning of rising times, it is found to be more or fewer degrees, it will be known from the procedure set out above whether the hour has an addition or a subtraction.
要细致到度地求上升点,就这样做。把出生的时辰乘以月亮的行程,白天从太阳的度数数起,夜里从对面的度数数起;数到哪里止,上升点就判在多少度。举一个例子:哈德良第四年,梅希尔月十三日,夜里第一小时;太阳在水瓶二十二度,月亮在天蝎七度;月亮在历元起第十四日的行程是十三度五十二分。我进入上面列出的仪表,在第一行的十四度处,在下方第一小时处找到十六小时。我从与太阳相对的那一度,即狮子二十二度,数起这些数;数止于摩羯约第八度。如果按上升时间的推算,发现多出或少了一些度数,就可以从上面列出的步骤知道,这个时辰该有加数还是减数。
大意与图解点开
🔎 大意:由埃及历日数与时辰求上升;神秘上升点只看昼夜取太阳的种子三方;月行法以哈德良四年一例求得上升约在摩羯八度。
📖 术语
| 术语 | 英文原词 | 意思 |
|---|---|---|
| 托特月 | Thoth | 埃及历的第一个月 |
| 种子三方 | seminal trine | 太阳所在的三方 |
| 月亮的行程 | the Moon's course | 月亮一日所行度数 |
| 历元 | epoch | 推算的起点日 |
| 仪表 | instrument | 推算用的数表 |
🧭 图解与讲解
第四行先给两种计日法:从埃及历的托特月(一年之首)数到生日,加上时辰乘十五(一小时等于十五个赤道时度),再以三十为一份逐座数去,白天从摩羯起,夜里从双鱼起;或者把时辰乘十五加太阳度数,按上升时间从太阳或上升点数去。接着是「神秘而必然的上升点」:白天取太阳的种子三方(太阳所在的那组三方)或其六分,夜里取对面;所以只要知道昼夜,不必知道时辰。
〔图〕原书星盘(照录):I 4 月行求上升例(哈德良四年梅希尔月十三日)
〔图〕实算星盘:公元 120 年 2 月 8 日(儒略历)UT 16:45
| 星 | 原书 | 实算 | 差 | 原因 |
|---|---|---|---|---|
| 太阳 | 水瓶 22° | 水瓶 18°30′ | +3°30′ | 古表系统误差 |
| 月亮 | 天蝎 7° | 天蝎 1°58′ | +5°02′ | 古表系统误差 |
| 上升 | 摩羯 8° | 处女 2°23′ | +125°37′ | 盘面抄错格 |
| 步骤 | 月行法(第五行算例) | 数值 |
|---|---|---|
| 一 | 月亮在历元起第十四日的行程 | 13°52',取整 14° |
| 二 | 进仪表第一行 14° 一栏,看第一小时之下 | 16 |
| 三 | 夜生:从太阳对面的一度数起 | 狮子 22° |
| 四 | 数去 16 | 原书:止于摩羯约 8° |
| 五 | 按上升时间核对,多则减、少则加 | 定出时辰的加减 |
第五行是求到度数的月行法,并给出本书第一个有日期的例子(图一):哈德良第四年(约公元一二零年)梅希尔月十三日,夜里第一小时,太阳水瓶二十二度,月亮天蝎七度。作者从历元起算的第十四日月亮行程十三度五十二分,进入一张「上面列出的仪表」查得十六,从太阳对面的狮子二十二度数去,得摩羯约八度。这张仪表不在本页,本站无从重排。
表四按原文列出步骤。需要说明的是:狮子二十二度再加十六度,按度数是处女八度;原书却写摩羯约八度,度数对得上,星座与前两法所得的摩羯相同。希腊原文与英译都是如此,本站照录。作者最后说,若与上升时间推算的结果不合,就据此判断时辰该加还是该减,这种「校正时辰」的思路在第五章还会再出现。
本站定年:公元 120 年 2 月 8 日(儒略历),亚历山大地方时约 18:45,把握高。入夜第一小时将尽,上升正在狮子末、处女初。原书上升「摩羯约八度」与它自己的算式不合:狮子 22° 加 16 得处女 8°,与实算相近;摩羯一字当是传抄之误。同一盘又见卷一第九章(望月例)、第二十章、第二十三章、卷三第十三章。原书与实算不同的共 3 处:太阳(古表系统误差);月亮(古表系统误差);上升(盘面抄错格);差异表逐项列出(差=原书减实算),不同的星在两盘上都加红色虚圈。
📖 术语
| 术语 | 英文原词 | 意思 |
|---|---|---|
| 托特月 | Thoth | 埃及历的第一个月 |
| 种子三方 | seminal trine | 太阳所在的三方 |
| 月亮的行程 | the Moon's course | 月亮一日所行度数 |
| 历元 | epoch | 推算的起点日 |
| 仪表 | instrument | 推算用的数表 |
🧭 图解与讲解
第四行先给两种计日法:从埃及历的托特月(一年之首)数到生日,加上时辰乘十五(一小时等于十五个赤道时度),再以三十为一份逐座数去,白天从摩羯起,夜里从双鱼起;或者把时辰乘十五加太阳度数,按上升时间从太阳或上升点数去。接着是「神秘而必然的上升点」:白天取太阳的种子三方(太阳所在的那组三方)或其六分,夜里取对面;所以只要知道昼夜,不必知道时辰。
| 星 | 原书 | 实算 | 差 | 原因 |
|---|---|---|---|---|
| 太阳 | 水瓶 22° | 水瓶 18°30′ | +3°30′ | 古表系统误差 |
| 月亮 | 天蝎 7° | 天蝎 1°58′ | +5°02′ | 古表系统误差 |
| 上升 | 摩羯 8° | 处女 2°23′ | +125°37′ | 盘面抄错格 |
| 步骤 | 月行法(第五行算例) | 数值 |
|---|---|---|
| 一 | 月亮在历元起第十四日的行程 | 13°52',取整 14° |
| 二 | 进仪表第一行 14° 一栏,看第一小时之下 | 16 |
| 三 | 夜生:从太阳对面的一度数起 | 狮子 22° |
| 四 | 数去 16 | 原书:止于摩羯约 8° |
| 五 | 按上升时间核对,多则减、少则加 | 定出时辰的加减 |
第五行是求到度数的月行法,并给出本书第一个有日期的例子(图一):哈德良第四年(约公元一二零年)梅希尔月十三日,夜里第一小时,太阳水瓶二十二度,月亮天蝎七度。作者从历元起算的第十四日月亮行程十三度五十二分,进入一张「上面列出的仪表」查得十六,从太阳对面的狮子二十二度数去,得摩羯约八度。这张仪表不在本页,本站无从重排。
表四按原文列出步骤。需要说明的是:狮子二十二度再加十六度,按度数是处女八度;原书却写摩羯约八度,度数对得上,星座与前两法所得的摩羯相同。希腊原文与英译都是如此,本站照录。作者最后说,若与上升时间推算的结果不合,就据此判断时辰该加还是该减,这种「校正时辰」的思路在第五章还会再出现。
本站定年:公元 120 年 2 月 8 日(儒略历),亚历山大地方时约 18:45,把握高。入夜第一小时将尽,上升正在狮子末、处女初。原书上升「摩羯约八度」与它自己的算式不合:狮子 22° 加 16 得处女 8°,与实算相近;摩羯一字当是传抄之误。同一盘又见卷一第九章(望月例)、第二十章、第二十三章、卷三第十三章。原书与实算不同的共 3 处:太阳(古表系统误差);月亮(古表系统误差);上升(盘面抄错格);差异表逐项列出(差=原书减实算),不同的星在两盘上都加红色虚圈。
For those born by day, add together the remaining degrees of the Sun and the degrees the Moon occupies, cast out the thirties, and the remaining degrees will be in the Ascendant; for those born by night, add the remaining degrees of the Moon and the degrees the Sun occupies. If, however, the number exceeds the hour being reckoned, as many degrees as fall short of 30, or of the magnitude of the hour, so many will be in the Ascendant. Count the days from Epiphi 25 to the day of birth, together with the epagomenal days, add to the number only 22 [probably: “only” is spurious, i.e. simply add 22] [text uncertain], and count off the number in thirties, by day from Cancer, by night from Capricorn; wherever the number ends, there the Ascendant will be, and at as many degrees as remain, so many will be in the Ascendant.
翻译点开
For those born by day, add together the remaining degrees of the Sun and the degrees the Moon occupies, cast out the thirties, and the remaining degrees will be in the Ascendant; for those born by night, add the remaining degrees of the Moon and the degrees the Sun occupies. If, however, the number exceeds the hour being reckoned, as many degrees as fall short of 30, or of the magnitude of the hour, so many will be in the Ascendant. Count the days from Epiphi 25 to the day of birth, together with the epagomenal days, add to the number only 22 [probably: “only” is spurious, i.e. simply add 22] [text uncertain], and count off the number in thirties, by day from Cancer, by night from Capricorn; wherever the number ends, there the Ascendant will be, and at as many degrees as remain, so many will be in the Ascendant.
白天出生的,把太阳剩余的度数与月亮所占的度数加在一起,去掉三十的整数倍,剩下的度数就会上升;夜里出生的,把月亮剩余的度数与太阳所占的度数相加。不过,如果这个数超出所推算的时辰,那么差多少到三十、或到时辰的大小,就有多少度上升。从埃皮菲月二十五日数到出生之日的天数,连同岁末附加日,在这个数上只加二十二〔或当作「加二十二」,「只」字疑衍〕〔原文疑有讹误〕,再把这个数以三十为一份数去,白天从巨蟹数起,夜里从摩羯数起;数到哪里止,上升点就在那里,剩下多少度,就有多少度上升。
大意与图解点开
🔎 大意:白天以太阳余度加月亮度数、夜里以月亮余度加太阳度数,去三十得上升度数;又由埃皮菲月二十五日起计日求上升。
📖 术语
| 术语 | 英文原词 | 意思 |
|---|---|---|
| 剩余的度数 | remaining degrees | 到本座末尾的度数 |
| 去掉三十 | cast out the thirties | 减去三十的整倍 |
| 埃皮菲月 | Epiphi | 埃及历第十一个月 |
| 岁末附加日 | epagomenal days | 埃及历年末五日 |
| 时辰的大小 | magnitude of the hour | 一小时合多少时度 |
🧭 图解与讲解
第六行又是两种方法,都没有算例。第一种是「余度相加」(图一):白天把太阳在本座还剩的度数(三十减去太阳所在的度数)与月亮所在的度数相加,去掉三十的整倍,所余就是上升的度数;夜里日月角色互换。若结果超出所推算的时辰,就取它离三十或离「时辰的大小」差多少。这一法只给度数,星座要另用前面的方法求得。
〔图〕余度相加法:昼夜互换日月的角色
〔图〕埃皮菲月计日法:从固定的日子数到生日,再逐座数去
第二种从埃及历埃皮菲月二十五日起计日(图二),连同年末的五个附加日(埃及历每年十二个月各三十天,年末另加五天),再加二十二,以三十为一份逐座数去,白天从巨蟹起,夜里从摩羯起。「只加二十二」一句英译标为疑有讹误。埃皮菲月二十五日这个起点,第九章的朔望算例里又会出现。
📖 术语
| 术语 | 英文原词 | 意思 |
|---|---|---|
| 剩余的度数 | remaining degrees | 到本座末尾的度数 |
| 去掉三十 | cast out the thirties | 减去三十的整倍 |
| 埃皮菲月 | Epiphi | 埃及历第十一个月 |
| 岁末附加日 | epagomenal days | 埃及历年末五日 |
| 时辰的大小 | magnitude of the hour | 一小时合多少时度 |
🧭 图解与讲解
第六行又是两种方法,都没有算例。第一种是「余度相加」(图一):白天把太阳在本座还剩的度数(三十减去太阳所在的度数)与月亮所在的度数相加,去掉三十的整倍,所余就是上升的度数;夜里日月角色互换。若结果超出所推算的时辰,就取它离三十或离「时辰的大小」差多少。这一法只给度数,星座要另用前面的方法求得。
第二种从埃及历埃皮菲月二十五日起计日(图二),连同年末的五个附加日(埃及历每年十二个月各三十天,年末另加五天),再加二十二,以三十为一份逐座数去,白天从巨蟹起,夜里从摩羯起。「只加二十二」一句英译标为疑有讹误。埃皮菲月二十五日这个起点,第九章的朔望算例里又会出现。
V. The Horoscopic Gnomon.
Take the degrees of the Sun that serve for the Ascendant by day, or by night those of the opposite point; multiply them by ten, and multiply the resulting amount again by the hours given, whether diurnal or nocturnal, whether whole or with degrees; cast out whole circles and regard the remainder as the horoscopic gnomon. Clime [lacuna], 2nd hour of the day; the Sun at Cancer 7°, the Moon at Aries 22°. The diurnal hour-times for the Sun's degree, 22;24, taken ten times, make 224; this taken twice makes, beyond whole circles, 88; this is the horoscopic gnomon [corrected: Kroll prints 28 42 for 22;24].
For example, let the Sun be at Capricorn 19°, and let someone have been born in the third hour of the night. The Moon's course is 12½ 1/15 degrees. I enter the column of the third hour, where beside the 12 degrees of the course stand 41½ degrees, and beside the 13 stand 44½ degrees [corrected: Kroll prints 15½ for 13]. The excess of 44½ over 41½ is 3 degrees; ½ 1/15 of these is 1½ 1/5. These I add to the 41½, because the Moon's course is 12½ 1/15 degrees. Together, then, they make 43 1/5 degrees. To these add the Sun's degrees, 19; together they make 62 1/5 degrees, which I counted off from Cancer because the nativity is nocturnal, and the Ascendant ended at Virgo 2° 12'. By the table, however, the Ascendant was at Capricorn 3°.
翻译点开
V. The Horoscopic Gnomon.
第五章 上升晷针
Take the degrees of the Sun that serve for the Ascendant by day, or by night those of the opposite point; multiply them by ten, and multiply the resulting amount again by the hours given, whether diurnal or nocturnal, whether whole or with degrees; cast out whole circles and regard the remainder as the horoscopic gnomon. Clime [lacuna], 2nd hour of the day; the Sun at Cancer 7°, the Moon at Aries 22°. The diurnal hour-times for the Sun's degree, 22;24, taken ten times, make 224; this taken twice makes, beyond whole circles, 88; this is the horoscopic gnomon [corrected: Kroll prints 28 42 for 22;24].
取白天用于上升的太阳度数,夜里则取对面那一点的度数;把它们乘以十,再把所得之数乘以给定的时辰,无论是白天的还是夜里的,无论是整时还是带度数的;去掉整圈,把余数看作上升晷针。气候带〔此处原文有缺〕,白天第二小时;太阳在巨蟹七度,月亮在白羊二十二度。太阳那一度的白天时度,二十二又二十四分,取十倍,得二百二十四;取两倍,除去整圈后得八十八;这就是上升晷针〔据算改正:Kroll 本作二十八、四十二〕。
For example, let the Sun be at Capricorn 19°, and let someone have been born in the third hour of the night. The Moon's course is 12½ 1/15 degrees. I enter the column of the third hour, where beside the 12 degrees of the course stand 41½ degrees, and beside the 13 stand 44½ degrees [corrected: Kroll prints 15½ for 13]. The excess of 44½ over 41½ is 3 degrees; ½ 1/15 of these is 1½ 1/5. These I add to the 41½, because the Moon's course is 12½ 1/15 degrees. Together, then, they make 43 1/5 degrees. To these add the Sun's degrees, 19; together they make 62 1/5 degrees, which I counted off from Cancer because the nativity is nocturnal, and the Ascendant ended at Virgo 2° 12'. By the table, however, the Ascendant was at Capricorn 3°.
例如,设太阳在摩羯十九度,某人生于夜里第三小时。月亮的行程是十二又二分之一又十五分之一度。我进入第三小时那一栏,那里在行程十二度旁列着四十一又二分之一度,在十三度旁列着四十四又二分之一度〔据算改正:Kroll 本作十五又二分之一〕。四十四又二分之一比四十一又二分之一多三度;其中的二分之一又十五分之一是一又二分之一又五分之一。我把这个数加到四十一又二分之一上,因为月亮的行程是十二又二分之一又十五分之一度。于是合计四十三又五分之一度。在这上面加上太阳的度数十九;合计六十二又五分之一度,我因为本命在夜里而从巨蟹数起,上升点止于处女二度十二分。不过按表,上升点在摩羯三度。
大意与图解点开
🔎 大意:上升晷针:太阳度数乘十再乘时辰,去整圈得之;又一例以月行查栏插值,得上升在处女二度十二分,而按表却在摩羯三度。
📖 术语
| 术语 | 英文原词 | 意思 |
|---|---|---|
| 上升晷针 | horoscopic gnomon | 推上升用的一个数 |
| 整圈 | whole circles | 三百六十度 |
| 栏 | column | 数表中的一列 |
| 两数之差 | excess | 表中相邻两数相差 |
| 时度 | hour-times | 一小时合多少度 |
🧭 图解与讲解
第五章叫「上升晷针」(horoscopic gnomon)。晷针本是日晷上投影的针,这里借指一个推算上升用的数。求法(表一):白天取太阳的度数,夜里取对面一点的度数,乘以十,再乘以时辰数,去掉整圈三百六十,余数就是上升晷针。算例在白天第二小时,太阳巨蟹七度,作者查得太阳那一度的白天「时度」,取十倍得二百二十四,再取两倍得四百四十八,去整圈得八十八。气候带名原文缺失。时度原书传抄作「二十八、四十二」,按算应为二十二又二十四分。
| 步骤 | 上升晷针(第八行算例) | 数值 |
|---|---|---|
| 一 | 白天第二小时;太阳巨蟹 7° | — |
| 二 | 太阳那一度的白天时度 | 22;24(原书讹作 28 42) |
| 三 | 取十倍 | 224 |
| 四 | 乘以时辰(二) | 448 |
| 五 | 去掉整圈 360 | 88 = 上升晷针 |
| 步骤 | 月行查栏法(第九行算例) | 数值 |
|---|---|---|
| 一 | 太阳摩羯 19°;夜里第三小时;月行 | 12½ 1/15 |
| 二 | 第三小时一栏:行程 12° 旁 | 41½ |
| 三 | 行程 13 旁(原书讹作 15½) | 44½ |
| 四 | 两数之差 | 3 |
| 五 | 取差的 ½ 1/15 | 1½ 1/5 |
| 六 | 41½ + 1½ 1/5 | 43 1/5 |
| 七 | 加太阳度数 19 | 62 1/5 |
| 八 | 夜生,从巨蟹 0° 数去 | 处女 2°12' |
| 九 | 原书又说:按表 | 摩羯 3° |
第九行是第二个完整的算例(表二),用的是一张按时辰分栏、按月行列数的表。月行十二又二分之一又十五分之一度,介于表中的十二度与十三度之间(原书此数传抄有误,作十五度半,按算应为十三),作者按比例插值:两数之差三度,取其二分之一又十五分之一,得一又二分之一又五分之一,加到四十一又二分之一上,得四十三又五分之一。再加太阳十九度,得六十二又五分之一,夜生从巨蟹数起,得处女二度十二分。
有意思的是作者紧接着说「不过按表,上升点在摩羯三度」,自己承认手算与查表结果不一。这类「手算」只是近似,作者也常拿几种方法互相核对。分数写法照原书,古希腊人习惯把分数拆成几个单位分数相加,如二分之一又十五分之一。
📖 术语
| 术语 | 英文原词 | 意思 |
|---|---|---|
| 上升晷针 | horoscopic gnomon | 推上升用的一个数 |
| 整圈 | whole circles | 三百六十度 |
| 栏 | column | 数表中的一列 |
| 两数之差 | excess | 表中相邻两数相差 |
| 时度 | hour-times | 一小时合多少度 |
🧭 图解与讲解
第五章叫「上升晷针」(horoscopic gnomon)。晷针本是日晷上投影的针,这里借指一个推算上升用的数。求法(表一):白天取太阳的度数,夜里取对面一点的度数,乘以十,再乘以时辰数,去掉整圈三百六十,余数就是上升晷针。算例在白天第二小时,太阳巨蟹七度,作者查得太阳那一度的白天「时度」,取十倍得二百二十四,再取两倍得四百四十八,去整圈得八十八。气候带名原文缺失。时度原书传抄作「二十八、四十二」,按算应为二十二又二十四分。
| 步骤 | 上升晷针(第八行算例) | 数值 |
|---|---|---|
| 一 | 白天第二小时;太阳巨蟹 7° | — |
| 二 | 太阳那一度的白天时度 | 22;24(原书讹作 28 42) |
| 三 | 取十倍 | 224 |
| 四 | 乘以时辰(二) | 448 |
| 五 | 去掉整圈 360 | 88 = 上升晷针 |
| 步骤 | 月行查栏法(第九行算例) | 数值 |
|---|---|---|
| 一 | 太阳摩羯 19°;夜里第三小时;月行 | 12½ 1/15 |
| 二 | 第三小时一栏:行程 12° 旁 | 41½ |
| 三 | 行程 13 旁(原书讹作 15½) | 44½ |
| 四 | 两数之差 | 3 |
| 五 | 取差的 ½ 1/15 | 1½ 1/5 |
| 六 | 41½ + 1½ 1/5 | 43 1/5 |
| 七 | 加太阳度数 19 | 62 1/5 |
| 八 | 夜生,从巨蟹 0° 数去 | 处女 2°12' |
| 九 | 原书又说:按表 | 摩羯 3° |
第九行是第二个完整的算例(表二),用的是一张按时辰分栏、按月行列数的表。月行十二又二分之一又十五分之一度,介于表中的十二度与十三度之间(原书此数传抄有误,作十五度半,按算应为十三),作者按比例插值:两数之差三度,取其二分之一又十五分之一,得一又二分之一又五分之一,加到四十一又二分之一上,得四十三又五分之一。再加太阳十九度,得六十二又五分之一,夜生从巨蟹数起,得处女二度十二分。
有意思的是作者紧接着说「不过按表,上升点在摩羯三度」,自己承认手算与查表结果不一。这类「手算」只是近似,作者也常拿几种方法互相核对。分数写法照原书,古希腊人习惯把分数拆成几个单位分数相加,如二分之一又十五分之一。
For conjunctional nativities one must examine the term of the conjunction and the lord of the sign, and whichever of these has degrees close to the Hour, those degrees will be in the Ascendant. For full-moon nativities, one must compare the term of the full moon and the lord of the sign.
By day one must take the Sun's degrees and the remaining degrees of the Moon and cast out the thirties; then, bringing the remainder into the reckoning of rising times, multiply the magnitude listed beside the Sun's sign by the degrees of the sign, add the Sun's degrees, and count off thirties; whatever remains will be the solar gnomon. Having noted this, we shall also make the gnomon of the Moon, thus. Doubling the degrees the Moon has, we subtract thirties; multiplying the remainder by twelve and adding the Moon's degrees, we subtract thirties, and the remainder will be the gnomon of the Moon. By night, adding together the remaining degrees of the Moon and those the Sun has, and casting out thirties for the reckoning of rising times, we bring the remainder to the Sun's sign; having ascertained the magnitude of the hour, we multiply the Sun's degrees, and adding as many degrees as the Sun has, we subtract thirties; and the remainder will be the solar gnomon. If, then, the Sun's gnomon exceeds the Moon's, the hour has a subtraction; if the Moon's exceeds, an addition, as large as the excess; if they are equal, it has neither addition nor subtraction. Likewise, too, the remainders have an addition or a subtraction according as they are above 15 or within it.
Having ascertained by sign the sign in the Ascendant, we shall find the degree thus. Having learned the year of the four-year cycle, as set out below, we add the hours assigned to it to the hour of birth, and having calculated the Moon, at however many degrees it is, at so many we shall take the Ascendant to be. The first year has 11 hours, the second 6 hours, the third 12 hours, the fourth 6 hours; the year of the four-year cycle is reckoned in relation to the rising of the Dog Star. First year of the four-year cycle: it rises in Cancer at the first hour of the night. The second year: it rises in Libra at the 6th hour of the day. The third year: it rises in Capricorn at the 12th hour of the day. The fourth: it rises at the 6th hour of the night in Aries. In this way the Ascendant is useful also for counter-nativities, the hours of the four-year cycle being added according to the year in question and counted off from the hour of birth; into whichever semicircle it falls, whether nocturnal or diurnal, there one should take the Ascendant, and compare the planets that are angular at that time with the nativity.
翻译点开
For conjunctional nativities one must examine the term of the conjunction and the lord of the sign, and whichever of these has degrees close to the Hour, those degrees will be in the Ascendant. For full-moon nativities, one must compare the term of the full moon and the lord of the sign.
对于合朔时出生的本命,必须查看合朔所在的界与那个星座之主,这两者之中哪一个所在的度数靠近「时刻」,那些度数就会上升。对于望月时出生的本命,必须比较望月所在的界与那个星座之主。
By day one must take the Sun's degrees and the remaining degrees of the Moon and cast out the thirties; then, bringing the remainder into the reckoning of rising times, multiply the magnitude listed beside the Sun's sign by the degrees of the sign, add the Sun's degrees, and count off thirties; whatever remains will be the solar gnomon. Having noted this, we shall also make the gnomon of the Moon, thus. Doubling the degrees the Moon has, we subtract thirties; multiplying the remainder by twelve and adding the Moon's degrees, we subtract thirties, and the remainder will be the gnomon of the Moon. By night, adding together the remaining degrees of the Moon and those the Sun has, and casting out thirties for the reckoning of rising times, we bring the remainder to the Sun's sign; having ascertained the magnitude of the hour, we multiply the Sun's degrees, and adding as many degrees as the Sun has, we subtract thirties; and the remainder will be the solar gnomon. If, then, the Sun's gnomon exceeds the Moon's, the hour has a subtraction; if the Moon's exceeds, an addition, as large as the excess; if they are equal, it has neither addition nor subtraction. Likewise, too, the remainders have an addition or a subtraction according as they are above 15 or within it.
白天必须取太阳的度数与月亮剩余的度数,去掉三十的整数倍;然后把余数带进上升时间的推算,把太阳星座旁所列的大小乘以星座的度数,加上太阳的度数,以三十数去;剩下的就是太阳晷针。记下它之后,我们也这样作月亮的晷针。把月亮所有的度数加倍,减去三十的整数倍;把余数乘以十二,加上月亮的度数,减去三十的整数倍,余数就是月亮的晷针。夜里,把月亮剩余的度数与太阳所有的度数相加,为上升时间的推算去掉三十的整数倍,把余数带到太阳的星座;查明时辰的大小后,乘以太阳的度数,再加上太阳所有的度数,减去三十的整数倍;余数就是太阳晷针。如果太阳的晷针大于月亮的,这个时辰有减数;如果月亮的大,就有加数,大小等于两者之差;如果相等,就既无加数也无减数。同样,余数在十五以上或以内,也相应有加数或减数。
Having ascertained by sign the sign in the Ascendant, we shall find the degree thus. Having learned the year of the four-year cycle, as set out below, we add the hours assigned to it to the hour of birth, and having calculated the Moon, at however many degrees it is, at so many we shall take the Ascendant to be. The first year has 11 hours, the second 6 hours, the third 12 hours, the fourth 6 hours; the year of the four-year cycle is reckoned in relation to the rising of the Dog Star. First year of the four-year cycle: it rises in Cancer at the first hour of the night. The second year: it rises in Libra at the 6th hour of the day. The third year: it rises in Capricorn at the 12th hour of the day. The fourth: it rises at the 6th hour of the night in Aries. In this way the Ascendant is useful also for counter-nativities, the hours of the four-year cycle being added according to the year in question and counted off from the hour of birth; into whichever semicircle it falls, whether nocturnal or diurnal, there one should take the Ascendant, and compare the planets that are angular at that time with the nativity.
按星座查明上升的星座后,我们这样求出度数。查明是四年周期的第几年,如下所列,把配给它的时数加到出生的时辰上,推算出月亮,月亮在多少度,我们就把上升点取为多少度。第一年有十一小时,第二年六小时,第三年十二小时,第四年六小时;四年周期的年份是对照天狼星的升起来计算的。四年周期的第一年:它在夜里第一小时于巨蟹升起。第二年:它在白天第六小时于天秤升起。第三年:它在白天第十二小时于摩羯升起。第四年:它在夜里第六小时于白羊升起。这样,上升点也可用于对照命盘,按所求的年份加上四年周期的时数,从出生的时辰数起;落在哪个半圈,无论是夜的还是昼的,就应在那里取上升点,并把那时居角的行星与本命相比较。
大意与图解点开
🔎 大意:朔望之命看朔望所在之界与星座之主;比较日月两个晷针定时辰加减;按四年周期加时数推月亮,以月亮度数定上升度数。
📖 术语
| 术语 | 英文原词 | 意思 |
|---|---|---|
| 合朔 | conjunction | 日月相会,即朔 |
| 望月 | full moon | 日月相对,即望 |
| 「时刻」 | the Hour | 即上升点 |
| 四年周期 | four-year cycle | 以四年为一轮 |
| 对照命盘 | counter-nativity | 与本命对照之盘 |
🧭 图解与讲解
第十行讲朔望之命:生在合朔(日月相会)前后的人,看合朔所在的界与那个星座的主星;生在望月(日月相对)前后的,看望月所在的界与星座之主;哪一个的度数靠近「时刻」,就取那些度数为上升。「时刻」是瓦伦斯对上升点的常用叫法。托勒密《四书》卷三第二章也有用朔望前的会合之主来定上升度数的说法。
〔图〕日月两个晷针比大小,定出时辰该加还是该减
| 四年周期 | 加到出生时辰上的时数 | 天狼星升起(照原文) |
|---|---|---|
| 第一年 | 十一小时 | 夜里第一小时,于巨蟹 |
| 第二年 | 六小时 | 白天第六小时,于天秤 |
| 第三年 | 十二小时 | 白天第十二小时,于摩羯 |
| 第四年 | 六小时 | 夜里第六小时,于白羊 |
第十一行讲两个晷针(图一):太阳晷针由日月度数与上升时间推得,月亮晷针由月亮度数加倍、乘十二推得;太阳的大,时辰要减;月亮的大,时辰要加,加减之数就是两者之差。这是用来校正时辰的。原文只有规则,没有算例,各步的意思也不尽分明,本站照英译逐句译出。
第十二行讲四年周期(表二):四年各配一个时数(十一、六、十二、六),加到出生时辰上推算月亮,月亮在几度,上升就取几度。四年周期又与天狼星的升起相对照,原文列出每年天狼星在哪个星座、白天或夜里第几小时升起。最后说这也可用于「对照命盘」:按所求的年份加时数,看落在昼半圈还是夜半圈,再比较那时居角的行星与本命。
📖 术语
| 术语 | 英文原词 | 意思 |
|---|---|---|
| 合朔 | conjunction | 日月相会,即朔 |
| 望月 | full moon | 日月相对,即望 |
| 「时刻」 | the Hour | 即上升点 |
| 四年周期 | four-year cycle | 以四年为一轮 |
| 对照命盘 | counter-nativity | 与本命对照之盘 |
🧭 图解与讲解
第十行讲朔望之命:生在合朔(日月相会)前后的人,看合朔所在的界与那个星座的主星;生在望月(日月相对)前后的,看望月所在的界与星座之主;哪一个的度数靠近「时刻」,就取那些度数为上升。「时刻」是瓦伦斯对上升点的常用叫法。托勒密《四书》卷三第二章也有用朔望前的会合之主来定上升度数的说法。
| 四年周期 | 加到出生时辰上的时数 | 天狼星升起(照原文) |
|---|---|---|
| 第一年 | 十一小时 | 夜里第一小时,于巨蟹 |
| 第二年 | 六小时 | 白天第六小时,于天秤 |
| 第三年 | 十二小时 | 白天第十二小时,于摩羯 |
| 第四年 | 六小时 | 夜里第六小时,于白羊 |
第十一行讲两个晷针(图一):太阳晷针由日月度数与上升时间推得,月亮晷针由月亮度数加倍、乘十二推得;太阳的大,时辰要减;月亮的大,时辰要加,加减之数就是两者之差。这是用来校正时辰的。原文只有规则,没有算例,各步的意思也不尽分明,本站照英译逐句译出。
第十二行讲四年周期(表二):四年各配一个时数(十一、六、十二、六),加到出生时辰上推算月亮,月亮在几度,上升就取几度。四年周期又与天狼星的升起相对照,原文列出每年天狼星在哪个星座、白天或夜里第几小时升起。最后说这也可用于「对照命盘」:按所求的年份加时数,看落在昼半圈还是夜半圈,再比较那时居角的行星与本命。
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。