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《第一原动天》 · PART I.

第一部·星位数字的读法 第十则 起盘、行星位置与福点

第十则教起盘:把出生时刻化为天文时与南方时间,查宫位表定宫头;再用六十进制表算行星行度与纬度,按日月距离安福点。

CANON X.

To describe the Figure of the Heavens.

This we are taught by almost all professors, but in a very different manner; therefore be pleased to receive here a very concise method. If the natural hour be given, let the astronomical be made, by adding the semi-diurnal arc in the tables of the houses: at the Pole's elevation given, let the place of the same diurnal Sun be looked for, wherein is described the figure near the tenth house, and let the time be taken from the south, which is found on the back of it, and add to the astronomical hours found above.

Finally, this sum, when it is found in the same table of houses, directly opposite, will appear the sign and degrees which belong to the six eastern houses, by taking the proportional part, when there is occasion. Of the other six western houses, the cusps are described with the opposite signs, and the same degree of the opposite houses.

Another way.—The hour being given, let the degree opposite to the Sun of the given day be sought for in the ascendant, and let the southern time which shall be found behind, be added to the given hour; when this sum is found, let the division of the houses explained opposite, be taken, &c. From this same sum of the hours, substract the south time found behind the Sun's degree of the same day, constituted in the tenth house, and there will remain the astronomical hour; or in other words, post meridian, as in the nativity of Charles V.

The given hour is 10° 11': I place in the horoscope 14° of ♍, in the back of which the southern time is 4h 29', which, when I find in the tables of the houses, I take their divisions, &c. Again, I place the Sun in the culmination, and there I take 23h 1', which reject, from 14h 40', first adding the 24h (as we have said in Canon VI.), there remain the astronomical hours 15h 39' post meridian.

黑像陶瓶画:星占家展开方形天宫图,逐格写下星座
画出天宫图
翻译点开

CANON X.

第十则。

To describe the Figure of the Heavens.

画出天宫图。

This we are taught by almost all professors, but in a very different manner; therefore be pleased to receive here a very concise method. If the natural hour be given, let the astronomical be made, by adding the semi-diurnal arc in the tables of the houses: at the Pole's elevation given, let the place of the same diurnal Sun be looked for, wherein is described the figure near the tenth house, and let the time be taken from the south, which is found on the back of it, and add to the astronomical hours found above.

这几乎所有的从业者都教过,但方法很不相同;所以请在这里接受一个很简明的方法。若给定的是自然时,就化为天文时,办法是加上宫位表中的半昼弧:在给定的极高下,找同一天太阳的位置,即图形中第十宫附近所列的那一处,取它背面所列的南方时间,加到上面求得的天文时上。

Finally, this sum, when it is found in the same table of houses, directly opposite, will appear the sign and degrees which belong to the six eastern houses, by taking the proportional part, when there is occasion. Of the other six western houses, the cusps are described with the opposite signs, and the same degree of the opposite houses.

最后,这个和数在同一宫位表中找到时,正对着它,就显出属于东方六宫的星座与度数,必要时取比例部分。其余西方六宫,宫头写上对面的星座、对宫相同的度数。

Another way.—The hour being given, let the degree opposite to the Sun of the given day be sought for in the ascendant, and let the southern time which shall be found behind, be added to the given hour; when this sum is found, let the division of the houses explained opposite, be taken, &c. From this same sum of the hours, substract the south time found behind the Sun's degree of the same day, constituted in the tenth house, and there will remain the astronomical hour; or in other words, post meridian, as in the nativity of Charles V.

另一法。——给定了时刻,就在上升栏中找给定那天太阳对面的度数,把背面所列的南方时间加到给定的时刻上;求得这个和数后,取对面所列的分宫,等等。从同一个时数之和中,减去同一天太阳度数在第十宫时背面所列的南方时间,剩下的就是天文时,换句话说,即午后的时数,如在查理五世的本命中。

The given hour is 10° 11': I place in the horoscope 14° of ♍, in the back of which the southern time is 4h 29', which, when I find in the tables of the houses, I take their divisions, &c. Again, I place the Sun in the culmination, and there I take 23h 1', which reject, from 14h 40', first adding the 24h (as we have said in Canon VI.), there remain the astronomical hours 15h 39' post meridian.

给定的时刻是十时十一分:我把处女十四度放在上升点上,它背面的南方时间是四时二十九分,〔与给定时刻相加〕在宫位表中找到时,我就取其分宫,等等。再者,我把太阳放在中天,在那里取得二十三时一分,从十四时四十分中减去它,先加上二十四时(如我们在第六则所说),剩下天文时十五时三十九分,即午后。

大意与图解点开

🔎 大意:把出生时刻化为南方时间,在宫位表中查出东方六宫的宫头,西方六宫取对宫。查理五世生于午后十五时三十九分。

📖 术语

术语英文原词意思
自然时natural hour日常所用的时刻
天文时astronomical hour从正午起算的时刻
南方时间time from the south即中天的恒星时
宫位表tables of the houses按时刻查宫头
分宫divisions of the houses各宫宫头的度数

🧭 图解与讲解

第十则教起盘(画出天宫图)。普拉西德斯给的是查宫位表的简法。宫位表按「南方时间」排列,即某一时刻天顶所在的赤经,化成时分,今天称恒星时。只要求出出生时刻的南方时间,在表中一查,东方六宫(第十至第三宫)的宫头就都有了;西方六宫取对面星座的同一度数。

〔图〕起盘的次序:先求南方时间,再查宫位表

原书例:查理五世本命;第三步的和数原书未写出,由第五步可知
步骤算什么用哪个数结果
一给定时刻(从日落起算)原书印作 10°11′10h11′
二太阳在双鱼 14°,对面的处女 14° 放在上升点宫位表背面所列4h29′
三相加,得出生时的南方时间10h11′ + 4h29′14h40′
四太阳在中天时的南方时间宫位表(太阳在第十宫)23h1′
五化为天文时:不够减先加 24 时14h40′ + 24h − 23h1′15h39′(午后)

查理五世的例子用的是从日落起算的时刻(表二)。太阳在双鱼十四度,日落时太阳在西方地平,与它相对的处女十四度正在东方上升;宫位表里处女十四度上升时的南方时间是四时二十九分。出生在日落后十时十一分,两数相加得十四时四十分,就是出生时的南方时间,据此查出各宫宫头(图一)。原书把十时十一分印成度分符号,按文意是时分。

要放行星,还需知道从正午起算的天文时。太阳在中天时南方时间是二十三时一分(即太阳的赤经化成时分,第五则算得三百四十五度四十四分);十四时四十分不够减,先加二十四时,再减,得十五时三十九分,即出生于正午之后十五时三十九分,也就是次日凌晨三时三十九分左右。这与本则开头的第一法相合:从日落起算的十时十一分,加上太阳的半昼弧五时二十八分(第三则所求),同样得十五时三十九分。

To place the planets in the figure, let the astronomical hour be equated; first, by the table of equation of natural days, then from the difference of the meridionals, in the manner they are noted. The places of the planets are very easily calculated to the equated hour, from the Saxegenery table, in this manner:

In the first column on the left hand of the 24 hours, look in the body of the table for the planet's motion; and directly under the same column, at the given hour, you will have its motion, to be added to the place of the same, marked in the south; or to be substracted, if the planet be retrogate, as in the example of Charles V.

The Moon's motion is diurnal, 14° 39', which, opposite to the 24th number, I find, in the body of the table Sexagenary, under the 37th column; but because there they do not go so far as minutes, I take the proportional part, and I find it corresponds under 36° 37': with the 15th hour, under the 36° I take 9°.

Again, for the 37' from the difference which is there made, I add 9'—again, for the 39' of the given hour, I look under 37, and at the 39, in the common angle, I take 24' to be added, and this makes all the Moon's motion 9° 39', to be added to its place, calculated in the south; but the ☽ in 27° 12' of ♐, its place immerges to the given hour, 15h 39' in 6° 45' of ♑.

As for the other planets, when their motion exceeds 72', whereas in the Sexagenary table at 24, the greater number is 72, make use of half the diurnal motion of the planet, and the product of the given hour must be doubled: as the diurnal motion of ♀ is 75', I use this half number 37, and I find opposite 24, under the column 93; wherefore, opposite 15, under the same column, I take 24', which doubled, make 48; or use the geminated hours, as, to 48, for 24 in the body of the table, I find the motion of ♀ 75, under the column 95; but opposite 31, for the 15h 39', I take 48 or 49, as before.

翻译点开

To place the planets in the figure, let the astronomical hour be equated; first, by the table of equation of natural days, then from the difference of the meridionals, in the manner they are noted. The places of the planets are very easily calculated to the equated hour, from the Saxegenery table, in this manner:

要把行星放进图中,须先把天文时均化:先用自然日的均时表,再按子午线之差,照所注的方式。行星的位置,用六十进制表很容易算到均化后的时刻,方法如下:

In the first column on the left hand of the 24 hours, look in the body of the table for the planet's motion; and directly under the same column, at the given hour, you will have its motion, to be added to the place of the same, marked in the south; or to be substracted, if the planet be retrogate, as in the example of Charles V.

在二十四时那一行的左边第一栏,于表身中找行星的行度;就在同一栏下、给定的时刻处,你就得到它的行度,加到正午所记的同一行星的位置上;若行星逆行,则减去,如查理五世的例子。

The Moon's motion is diurnal, 14° 39', which, opposite to the 24th number, I find, in the body of the table Sexagenary, under the 37th column; but because there they do not go so far as minutes, I take the proportional part, and I find it corresponds under 36° 37': with the 15th hour, under the 36° I take 9°.

月亮的日行是十四度三十九分,我在六十进制表的表身中,对着第二十四数,发现它在第三十七栏下;但因为那里没有细到分,我取比例部分,发现它对应于三十六度三十七分之下:对着第十五时,在三十六度下我取九度。

Again, for the 37' from the difference which is there made, I add 9'—again, for the 39' of the given hour, I look under 37, and at the 39, in the common angle, I take 24' to be added, and this makes all the Moon's motion 9° 39', to be added to its place, calculated in the south; but the ☽ in 27° 12' of ♐, its place immerges to the given hour, 15h 39' in 6° 45' of ♑.

再者,为那三十七分,按那里所成的差,我加九分;——再者,为给定时刻的三十九分,我在三十七栏下、对着三十九,在共同的格中取二十四分,要加上,这样月亮的全部行度是九度三十九分,要加到正午算出的位置上;而月亮在射手二十七度十二分,她的位置到给定时刻十五时三十九分,就进入摩羯六度四十五分。

As for the other planets, when their motion exceeds 72', whereas in the Sexagenary table at 24, the greater number is 72, make use of half the diurnal motion of the planet, and the product of the given hour must be doubled: as the diurnal motion of ♀ is 75', I use this half number 37, and I find opposite 24, under the column 93; wherefore, opposite 15, under the same column, I take 24', which doubled, make 48; or use the geminated hours, as, to 48, for 24 in the body of the table, I find the motion of ♀ 75, under the column 95; but opposite 31, for the 15h 39', I take 48 or 49, as before.

至于其他行星,当它们的行度超过七十二分时,因为六十进制表在二十四那一行最大的数是七十二,就用行星日行的一半,所得的时刻之积须加倍:如金星的日行是七十五分,我用其一半三十七,发现它对着二十四、在九十三栏下;因此,对着十五、在同一栏下,我取二十四分,加倍得四十八;或者用加倍的时数,如以四十八代替二十四,在表身中我发现金星的行度七十五在九十五栏下;而对着三十一,即十五时三十九分〔的两倍〕,我取四十八或四十九,与前相同。

大意与图解点开

🔎 大意:天文时先均化,再用六十进制表按比例求行星从正午到出生时所行。查理五世的月亮从射手二十七度十二分行到摩羯六度四十五分。

📖 术语

术语英文原词意思
均化equated校正为真太阳时
均时表table of equation of natural days自然日长短的校正
子午线之差difference of the meridionals本地与历表地的经差
六十进制表Sexagenary table比例对数表
日行diurnal motion一日所行的度数

🧭 图解与讲解

起好宫头,接着要放行星。星历表(原书称历书)只列每天正午的行星位置,出生时刻的位置要按比例推算。普拉西德斯先说天文时要「均化」:用均时表把平时化为真太阳时,再按本地与历表所据子午线的经差校正。然后用六十进制表求从正午到出生时行星所走的度数。

原书例:查理五世本命,月亮从正午到 15 时 39 分所行
步骤算什么用哪个数结果
一月亮日行 14°39′ 在 24 一行里落在哪一栏24 × 栏 ÷ 60 = 14°39′第 36°37′ 栏
二15 时:36 栏的整度部分36 × 15 ÷ 609°
三15 时:37′ 的部分37 × 15 ÷ 609′
四39 分:在 37 栏下对 39约 37 × 39 ÷ 6024′
五月亮行度合计9° + 9′ + 24′原书印作 9°39′,合计实为 9°33′
六加到正午位置上射手 27°12′ + 9°33′摩羯 6°45′
金星日行七十五分,超过表中二十四一行的最大数七十二,要变通
做法算法原书所得
用日行之半75′ ÷ 2 ≈ 37′,在 24 一行落在 93 栏;15 时得 24′,加倍48′
用加倍的时数以 48 代 24,75′ 落在 95 栏;15 时 39 分加倍约 3148′ 或 49′
今法验算75′ × 15 时 39 分 ÷ 24 时约 49′

六十进制表其实是一张乘法比例表:表身中第几行第几栏的数,等于行数乘栏数除以六十。月亮一日行十四度三十九分,在「二十四」那一行找它,落在三十六度三十七分那一栏;再在「十五」那一行、同一栏下读出十五小时所行,九度加九分;最后补上三十九分钟的二十四分(表一)。原书此处数字疑有误:九度、九分、二十四分合计是九度三十三分,原书印作九度三十九分;而射手二十七度十二分加九度三十三分恰是摩羯六度四十五分,可见结果用的是九度三十三分。

表中二十四那一行最大只到七十二,日行超过七十二分的行星要变通:或用日行的一半,求得后加倍;或把时数加倍,在四十八那一行找。金星日行七十五分,两法都得四十八或四十九分(表二),与今天直接按比例算的约四十九分相合。

In like manner are the latitudes calculated, by reducing the parts to minutes, and looking on the sides for days, and in the body for the difference of latitudes, &c. As the latitudes of ☿ to the 20th of February is 3° 16', to the first day of March is 2° 11', the difference is 65 for the 10 days; from which, for the 4 days, are produced 26, to be substracted: but, because the Sexagenary table to number 10 is not extended above 30, I look for it at the triplicate 10, which is 30, and I find 65 under 130; but at the triplicate 4, i. e. 12 under 130, I find 26 as above:

I look for 10 at the quadriplicate, which is 40, and I find it either under 97 or 98; for in the one it is deficient, in the other it exceeds in the minutes 20 seconds; and at the quadriplicate 4, i. e. 16 under either of the same column, I find 26 as above.

翻译点开

In like manner are the latitudes calculated, by reducing the parts to minutes, and looking on the sides for days, and in the body for the difference of latitudes, &c. As the latitudes of ☿ to the 20th of February is 3° 16', to the first day of March is 2° 11', the difference is 65 for the 10 days; from which, for the 4 days, are produced 26, to be substracted: but, because the Sexagenary table to number 10 is not extended above 30, I look for it at the triplicate 10, which is 30, and I find 65 under 130; but at the triplicate 4, i. e. 12 under 130, I find 26 as above:

纬度也同样计算,把各部分化为分,在旁边找日数,在表身中找纬度之差,等等。如水星在二月二十日的纬度是三度十六分,三月一日是二度十一分,十天的差是六十五分;其中四天得二十六分,要减去:但因为六十进制表在第十数上不超过三十,我就在十的三倍即三十处找,发现六十五在一百三十之下;而在四的三倍即十二处、一百三十之下,我发现二十六,与上相同:

I look for 10 at the quadriplicate, which is 40, and I find it either under 97 or 98; for in the one it is deficient, in the other it exceeds in the minutes 20 seconds; and at the quadriplicate 4, i. e. 16 under either of the same column, I find 26 as above.

我在十的四倍即四十处找,发现它在九十七或九十八之下;因为在一个中不足,在另一个中超出,分数上差二十秒;而在四的四倍即十六处、同两栏之下,我发现二十六,与上相同。

大意与图解点开

🔎 大意:星历每隔数日列一次纬度,中间日子的纬度按比例求。水星十天纬度减六十五分,四天减二十六分,借三倍或四倍的行数查表。

📖 术语

术语英文原词意思
纬度之差difference of latitudes前后两次纬度相减
三倍triplicate把行数乘以三
四倍quadriplicate把行数乘以四
秒seconds一分的六十分之一
表身body of the table表中间的数字

🧭 图解与讲解

纬度变化慢,旧星历通常隔几天才列一次。水星二月二十日纬度三度十六分,三月一日二度十一分,十天减了六十五分;出生在其间第四天,就按比例取四天之数(表一)。这和行星的行度是同一道比例题:十天对六十五分,四天对多少。

原书例:水星纬度,由二月二十日推到二月二十四日;第四步的结果原书未写出
步骤算什么用哪个数结果
一二月二十日到三月一日,纬度之差3°16′ − 2°11′65′(十天)
二10 一行最大只到 30,改用三倍:30 一行里找 6530 × 130 ÷ 60 = 65第 130 栏
三四天:三倍为 12,同一栏下12 × 130 ÷ 6026′
四纬度在减小,故减去3°16′ − 26′2°50′
另法改用四倍:40 一行里找 65落在 97 与 98 栏之间(各差 20″)16 一行同得 26′

〔图〕六十进制表查不到时,把行数放大几倍再查

难处在表的范围:六十进制表的「十」那一行,最大只到三十,找不到六十五。普拉西德斯的变通是把天数放大三倍,在「三十」那一行找六十五,落在第一百三十栏;四天也放大三倍,在「十二」那一行、第一百三十栏读出二十六分。放大四倍也行,只是六十五落在九十七与九十八两栏之间,各差二十秒,读出的仍是二十六分(图二)。

这一段在今天看来只是一次简单的乘除,但在没有计算器的年代,借一张通用的比例表,任何「甲比乙等于丙比几」的比例都能靠查表完成,这正是第十四则要讲的六十进制表的用处;第十五则再讲用对数求第四比例数,更精确,也更省事。

The Part of Fortune is placed according to the Moon's distance from the Sun; and you must observe, what rays the Moon has to the Sun, for the latter ought to have the same, and with the same excess or deficiency to the ⊗, at the horoscope, as the Moon has to the Sun, so is ⊗ to the horoscope; and as the Sun is to the horoscope, so is the Moon to the Part of Fortune; as in the nativity of Charles V, the Moon applies to the ultimate Sextile of the sign, but with a deficiency of 7° 45':

I substract the 7° 45' from the 5° 45' of ♏, ultimate Sextile to the horoscope, and the part is placed 28° 9' of ♎; but the partitions of the houses may also be made by the right and oblique ascensions to their polar elevations of the houses; first, you are to bring back the given hour to the parts of the equator: if the given hour be Italic, add these parts to the oblique ascension of the Sun's opposite place, and the Sun will be the oblique ascension of the horoscope of the figure to be erected: if the given hour be Astronomical to the Sun's right ascension, add the degrees to which you have reduced the Astronomical hours, and the Sum will be the right ascension to be placed in the culmination: the ascensions of the other houses are made by adding 30° to the ascensions of every one of them.

From these tables of ascensions, to the elevation of the same houses, are had the degrees, of the Zodiac, to be placed in these houses Finally, directly under the horoscope, describe the latitude of the planets, the declination, horary times, right ascension, &c.

Likewise, to every house out of the parallels, draw the Pole's elevation and oblique ascension, which you may do by adding 30 degrees to the right ascension of the medium cœli; for the eleventh, likewise add 30, and you will have the oblique ascension of the twelfth, and so for the rest of the Pole's elevation of the houses, as explained in the proper table, and also in the tables of the houses, Canon VI.

红像陶瓶画:命运女神执舵立于圆盘之上,月亮在她身旁
福点对上升点也如何
翻译点开

The Part of Fortune is placed according to the Moon's distance from the Sun; and you must observe, what rays the Moon has to the Sun, for the latter ought to have the same, and with the same excess or deficiency to the ⊗, at the horoscope, as the Moon has to the Sun, so is ⊗ to the horoscope; and as the Sun is to the horoscope, so is the Moon to the Part of Fortune; as in the nativity of Charles V, the Moon applies to the ultimate Sextile of the sign, but with a deficiency of 7° 45':

福点按月亮离太阳的距离来安放;你须注意月亮对太阳有什么光线,因为福点对上升点也应有同样的光线,带着同样的超出或不足:月亮对太阳如何,福点对上升点也如何;太阳对上升点如何,月亮对福点也如何;如在查理五世的本命中,月亮趋近〔太阳的〕星座末六分,但不足七度四十五分:

I substract the 7° 45' from the 5° 45' of ♏, ultimate Sextile to the horoscope, and the part is placed 28° 9' of ♎; but the partitions of the houses may also be made by the right and oblique ascensions to their polar elevations of the houses; first, you are to bring back the given hour to the parts of the equator: if the given hour be Italic, add these parts to the oblique ascension of the Sun's opposite place, and the Sun will be the oblique ascension of the horoscope of the figure to be erected: if the given hour be Astronomical to the Sun's right ascension, add the degrees to which you have reduced the Astronomical hours, and the Sum will be the right ascension to be placed in the culmination: the ascensions of the other houses are made by adding 30° to the ascensions of every one of them.

我从上升点的末六分即天蝎五度四十五分中减去七度四十五分,福点就落在天秤二十八度九分;但分宫也可以用赤经与斜升按诸宫的极高来做;首先,你要把给定的时刻化为赤道的度数:若给定的是意大利时,就把这些度数加到太阳对面之点的斜升上,所得就是要起的图的上升点的斜升:若给定的是天文时,就把天文时化成的度数加到太阳的赤经上,和数就是要放在中天的赤经:其他诸宫的上升度,逐宫加三十度而得。

From these tables of ascensions, to the elevation of the same houses, are had the degrees, of the Zodiac, to be placed in these houses Finally, directly under the horoscope, describe the latitude of the planets, the declination, horary times, right ascension, &c.

从这些上升度表、按同样诸宫的极高,就得到要放在诸宫中的黄道度数。最后,在上升点正下方,写上诸行星的纬度、赤纬、时量、赤经等等。

Likewise, to every house out of the parallels, draw the Pole's elevation and oblique ascension, which you may do by adding 30 degrees to the right ascension of the medium cœli; for the eleventh, likewise add 30, and you will have the oblique ascension of the twelfth, and so for the rest of the Pole's elevation of the houses, as explained in the proper table, and also in the tables of the houses, Canon VI.

同样,在平行之外,给每一宫写上极高与斜升;斜升可以这样求:把三十度加到中天的赤经上;对第十一宫再加三十,你就得到第十二宫的斜升,其余诸宫的极高也是如此,如专门的表中所说明的,也见宫位表,第六则。

大意与图解点开

🔎 大意:福点离上升点,如月亮离太阳。查理五世的福点在天秤末段。宫头也可由时刻化成赤道度,加到赤经或斜升上,逐宫加三十度求得。

📖 术语

术语英文原词意思
福点Part of Fortune日月距离所定之点
末六分ultimate Sextile朝前导方向的六分
意大利时Italic hour从日落起算的时刻
上升点horoscope东方地平的黄道度
诸宫的极高polar elevations of the houses各宫位置圈的极高

🧭 图解与讲解

福点(Part of Fortune)的安法:月亮与太阳相距多少、成什么光线,福点与上升点也就相距多少、成同样的光线;反过来,太阳之于上升点,也如月亮之于福点。查理五世的月亮在摩羯六度四十五分,太阳在双鱼十四度三十分,相距六十七度四十五分,即六分之外再多七度四十五分(原文称「不足」,是从月亮趋近六分的角度说)。上升点的末六分是天蝎五度四十五分,再往前退七度四十五分,就是福点(图一)。

〔图〕福点离上升点,如同月亮离太阳:查理五世的福点落在天秤末段

原书例:查理五世的福点;上升点由原文的「末六分」反推
步骤算什么用哪个数结果
一月亮离太阳多远双鱼 14°30′ − 摩羯 6°45′67°45′,即六分又多 7°45′
二上升点的末六分(向前导方向 60°)摩羯 5°45′ − 60°天蝎 5°45′
三再向前导方向退 7°45′天蝎 5°45′ − 7°45′天秤 28°0′(原书印作 28°9′)

原书此处数字疑有误:天蝎五度四十五分减七度四十五分,得天秤二十八度整,原书印作天秤二十八度九分(表二)。用今天的公式说,就是福点=上升+月亮-太阳,结果也是天秤二十八度。

本则末段补上另一种分宫法:把出生时刻化为赤道度数(一时合十五度)。给的若是意大利时(从日落起算),加到太阳对面之点的斜升上,就是上升点的斜升;给的若是天文时(从正午起算),加到太阳的赤经上,就是中天的赤经。此后逐宫加三十度,在各宫极高下的斜升表里查出宫头。这正是第一部所说的半弧分宫法在算法上的落实,各宫的极高要另外查表或照第十二则计算。

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。