← Table of ContentsThe Travels of Marco Polo — Volume 1

CHAPTER XXXIII.

[CONCERNING THE ASTROLOGERS IN THE CITY OF CAMBALUC.]

[There are in the city of Cambaluc, what with Christians, Saracens, and

Cathayans, some five thousand astrologers and soothsayers, whom the

Great Kaan provides with annual maintenance and clothing, just as he

provides the poor of whom we have spoken, and they are in the constant

exercise of their art in this city.

They have a kind of astrolabe on which are inscribed the planetary

signs, the hours and critical points of the whole year. And every year

these Christian, Saracen, and Cathayan astrologers, each sect apart,

investigate by means of this astrolabe the course and character of the

whole year, according to the indications of each of its Moons, in order

to discover by the natural course and disposition of the planets, and

the other circumstances of the heavens, what shall be the nature of the

weather, and what peculiarities shall be produced by each Moon of the

year; as, for example, under which Moon there shall be thunderstorms

and tempests, under which there shall be disease, murrain, wars,

disorders, and treasons, and so on, according to the indications of

each; but always adding that it lies with God to do less or more

according to His pleasure. And they write down the results of their

examination in certain little pamphlets for the year, which are called

_Tacuin_, and these are sold for a groat to all who desire to know what

is coming. Those of the astrologers, of course whose predictions are

found to be most exact, are held to be the greatest adepts in their

art, and get the greater fame.{1}

And if any one having some great matter in hand, or proposing to make a

long journey for traffic or other business, desires to know what will

be the upshot, he goes to one of these astrologers and says: “Turn up

your books and see what is the present aspect of the heavens, for I

am going away on such and such a business.” Then the astrologer will

reply that the applicant must also tell the year, month, and hour of

his birth; and when he has got that information he will see how the

horoscope of his nativity combines with the indications of the time

when the question is put, and then he predicts the result, good or bad,

according to the aspect of the heavens.

You must know, too, that the Tartars reckon their years by twelves;

the sign of the first year being the Lion, of the second the Ox, of

the third the Dragon, of the fourth the Dog, and so forth up to the

twelfth;{2} so that when one is asked the year of his birth he answers

that it was in the year of the Lion (let us say), on such a day or

night, at such an hour, and such a moment. And the father of a child

always takes care to write these particulars down in a book. When the

twelve yearly symbols have been gone through, then they come back to

the first, and go through with them again in the same succession.]

NOTE 1.—It is odd that Marsden should have sought a Chinese

explanation of the Arabic word _Taḳwím_ even with Tavernier before

him: “They sell in Persia an annual almanac called _Tacuim_, which

is properly an ephemeris containing the longitude and latitude

of the planets, their conjunctions and oppositions, and other

such matter. The _Tacuim_ is full of predictions regarding war,

pestilence, and famine; it indicates the favourable time for

putting on new clothes, for getting bled or purged, for making a

journey, and so forth. They put entire faith in it, and whoever can

afford one governs himself in all things by its rules.” (Bk. V. ch.

xiv.)

The use of the term by Marco may possibly be an illustration of

what I have elsewhere propounded, viz. that he was not acquainted

with Chinese, but that his intercourse and conversation lay chiefly

with the foreigners at the Kaan’s Court, and probably was carried

on in the Persian language. But not long after the date of our Book

we find the word used in Italian by Jacopo Alighieri (Dante’s son):—

“A voler giudicare

Si conviene adequare

Inprimo il _Taccuino_,

Per vedere il cammino

Come i Pianeti vanno

Per tutto quanto l’anno.”

—_Rime Antiche Toscane_, III. 10.

Marco does not allude to the fact that almanacs were published by

the Government, as they were then and still are. Pauthier (515

_seqq._) gives some very curious details on this subject from the

Annals of the Yuen. In the accounts of the year 1328, it appears

that no less than 3,123,185 copies were printed in three different

sizes at different prices, besides a separate almanac for the

_Hwei-Hwei_ or Mahomedans. Had Polo not omitted to touch on the

issue of almanacs by Government he could scarcely have failed to

enter on the subject of printing, on which he has kept a silence so

singular and unaccountable.

The Chinese Government still “considers the publication of a

Calendar of the first importance and utility. It must do everything

in its power, not only to point out to its numerous subjects the

distribution of the seasons, ... but on account of the general

superstition it must mark in the almanac the lucky and unlucky

days, the best days for being married, for undertaking a journey,

for making their dresses, for buying or building, for presenting

petitions to the Emperor, and for many other cases of ordinary

life. By this means the Government keeps the people within the

limits of humble obedience; it is for this reason that the Emperors

of China established the Academy of Astronomy.” (_Timk._ I. 358.)

The acceptance of the Imperial Almanac by a foreign Prince is

considered an acknowledgment of vassalage to the Emperor.

It is a penal offence to issue a pirated or counterfeit edition of

the Government Almanac. No one ventures to be without one, lest

he become liable to the greatest misfortunes by undertaking the

important measures on black-balled days.

The price varies now, according to Williams, from 1½_d._ to 5_d._

a copy. The price in 1328 was 1 _tsien_ or cash for the cheapest

edition, and 1 _liang_ or tael of silver for the _édition de luxe_;

but as these prices were in paper-money it is extremely difficult

to say, in the varying depreciation of that currency, what the

price really amounted to.

[Illustration: Mongol “Compendium Instrument” _Keen-e_ in the

Observatory Garden.]

[Illustration: Mongol Armillary Sphere in the Observatory Garden.]

[“The Calendars for the use of the people, published by Imperial

command, are of two kinds. The first, _Wan-nien-shu, the Calendar

of Ten Thousand Years_, is an abridgment of the Calendar,

comprising 397 years, viz. from 1624 to 2020. The second and

more complete Calendar is the _Annual Calendar_, which, under

the preceding dynasties, was named _Li-je, Order of Days_, and

is now called _Shih-hsien-shu, Book of Constant Conformity (with

the Heavens)_. This name was given by the Emperor _Shun-chih_, in

the first year of his reign (1644), on being presented by Father

John Schall (_Tang Jo-wang_) with a new Calendar, calculated on

the principles of European science. This _Annual Calendar_ gives

the following indications: (1°) The cyclical signs of the current

year, of the months, and of all the days; (2°) the _long_ and

_short_ months, as well as the _intercalary_ month, as the case

may be; (3°) the designation of each day by the 5 _elements_, the

28 constellations, and the 12 _happy presages_; (4°) the day and

hour of the new moon, of the full moon, and of the two dichotomies,

_Shang-hsien_ and _Hsia-hsien_; (5°) the day and hour for the

_positions_ of the sun in the 24 zodiacal signs, calculated for the

various capitals of China as well as for Manchuria, Mongolia, and

the tributary Kingdoms; (6°) the hour of sunrise and sunset and the

length of day and night for the principal days of the month in the

several capitals; (7°) various superstitious indications purporting

to point out what days and hours are auspicious or not for such or

such affairs in different places. Those superstitious indications

are stated to have been introduced into the Calendar under the

_Yüan_ dynasty.” (_P. Hoang, Chinese Calendar_, pp. 2–3.)—H. C.]

We may note that in Polo’s time one of the principal officers of

the Mathematical Board was _Gaisue_, a native of _Folin_ or the

Byzantine Empire, who was also in charge of the medical department

of the Court. Regarding the Observatory, see note at p. 378,

_supra_.

And I am indebted yet again to the generous zeal of Mr. Wylie of

Shanghai, for the principal notes and extracts which will, I trust,

satisfy others as well as myself that the instruments in the garden

of the Observatory belong to the period of Marco Polo’s residence

in China.[1]

The objections to the alleged age of these instruments were

entirely based on an inspection of photographs. The opinion was

given very strongly that no instrument of the kind, so perfect in

theory and in execution, could have been even imagined in those

days, and that nothing of such scientific quality could have been

made except by the Jesuits. In fact it was asserted or implied that

these instruments must have been made about the year 1700, and were

therefore not earlier in age than those which stand on the terraced

roof of the Observatory, and are well known to most of us from the

representation in Duhalde and in many popular works.

The only authority that I could lay hand on was Lecomte, and what

he says was not conclusive. I extract the most pertinent passages:

“It was on the terrace of the tower that the Chinese astronomers

had set their instruments, and though few in number they occupied

the whole area. But Father Verbiest, the Director of the

Observatory, considering them useless for astronomical observation,

persuaded the Emperor to let them be removed, to make way for

several instruments of his own construction. The instruments set

aside by the European astronomers are still in a hall adjoining the

tower, buried in dust and oblivion; and we saw them only through a

grated window. They appeared to us to be very large and well cast,

in form approaching our astronomical circles; that is all that we

could make out. There was, however, thrown into a back yard by

itself, a celestial globe of bronze, of about 3 feet in diameter.

Of this we were able to take a nearer view. Its form was somewhat

oval; the divisions by no means exact, and the whole work coarse

enough.

“Besides this in a lower hall they had established a gnomon....

This observatory, not worthy of much consideration for its ancient

instruments, much less for its situation, its form, or its

construction, is now enriched by several bronze instruments which

Father Verbiest has placed there. These are large, well cast,

adorned in every case with figures of dragons,” etc. He then

proceeds to describe them:

“(1). Armillary Zodiacal Sphere of 6 feet diameter. This sphere

reposes on the heads of four dragons, the bodies of which after

various convolutions come to rest upon the extremities of two

brazen beams forming a cross, and thus bear the entire weight of

the instrument. These dragons ... are represented according to the

notion the Chinese form of them, enveloped in clouds, covered above

the horns with long hair, with a tufted beard on the lower jaw,

flaming eyes, long sharp teeth, the gaping throat ever vomiting a

torrent of fire. Four lion-cubs of the same material bear the ends

of the cross beams, and the heads of these are raised or depressed

by means of attached screws, according to what is required. The

circles are divided on both exterior and interior surface into

360 degrees; each degree into 60 minutes by transverse lines, and

the minutes into sections of 10 seconds each by the sight-edge[2]

applied to them.”

Of Verbiest’s other instruments we need give only the names: (2)

Equinoxial Sphere, 6 feet diameter. (3) Azimuthal Horizon, same

diam. (4) Great Quadrant, of 6 feet radius. (5) Sextant of about 8

feet radius. (6) Celestial Globe of 6 feet diameter.

As Lecomte gives no details of the old instruments which he

saw through a grating, and as the description of this zodiacal

sphere (No. 1) corresponds in some of its main features with

that represented in the photograph, I could not but recognize

the _possibility_ that this instrument of Verbiest’s had for

some reason or other been removed from the Terrace, and that the

photograph might therefore possibly _not_ be a representation of

one of the ancient instruments displaced by him.[3]

The question having been raised it was very desirable to settle

it, and I applied to Mr. Wylie for information, as I had received

the photographs from him, and knew that he had been Mr. Thomson’s

companion and helper in the matter.

“Let me assure you,” he writes (21st August, 1874), “the Jesuits

had nothing to do with the manufacture of the so-called Mongol

instruments; and whoever made them, they were certainly on the

Peking Observatory before Loyola was born. They are not made

for the astronomical system introduced by the Jesuits, but are

altogether conformable to the system introduced by Kúblái’s

astronomer Ko Show-king.... I will mention one thing which is

quite decisive as to the Jesuits. _The circle is divided into 365¼

degrees_, each degree into 100 minutes, and each minute into 100

seconds. The Jesuits always used the sexagesimal division. Lecomte

speaks of the imperfection of the division on the Jesuit-made

instruments; but _those on the Mongol instruments are immeasurably

coarser_.

“I understand it is not the ornamentation your friend objects

to?[4] If it is, I would observe that there is no evidence of

progress in the decorative and ornamental arts during the Ming

Dynasty; and even in the Jesuit instruments that part of the

work is purely Chinese, excepting in one instrument, which I am

persuaded must have been made in Europe.

“I have a Chinese work called _Luh-King-t’oo-Kaou_, ‘Illustrations

and Investigations of the Six Classics.’ This was written in A.D.

1131–1162, and revised and printed in 1165–1174. It contains a

representation of an armillary sphere, which appears to me to be

much the same as the sphere in question. There is a solid horizon

fixed to a graduated outer circle. Inside the latter is a meridian

circle, at right angles to which is a graduated colure; then the

equator, apparently a double ring, and the ecliptic; also two

diametric bars. The cut is rudely executed, but it certainly shows

that some one imagined something more perfect. The instrument

stands on a cross frame, with 4 dragon supporters and a prop in the

centre.[5]

“It should be remembered that under the Mongol Dynasty the

Chinese had much intercourse with Central Asia; and among others

Yelewchootsae, as confidential minister and astronomer, followed

Chinghiz in his Western campaign, held intercourse with the

astronomers of Samarkand, and on his return laid some astronomical

inventions before the Emperor.

“I append a notice of the Observatory taken from a popular

description of Peking, by which it will be seen that the

construction of these instruments is attributed to Ko Show-king,

one of the most renowned astronomers of China. He was the chief

astronomer under Kúblái Kaan” [to whom he was presented in 1262; he

was born in 1231.—H. C.]

“It must be remembered that there was a special vitality among the

Chinese under the Yuen with regard to the arts and sciences, and

the Emperor had the choice of artizans and men of science from

all countries. From the age of the Yuen till the arrival of the

Jesuits, we hear nothing of any new instruments having been made;

and it is well known that astronomy was never in a lower condition

than under the Ming.”[6]

Mr. Wylie then draws attention to the account given by Trigault

of the instruments that Matteo Ricci saw at Nanking, when he went

(in the year 1599) to pay a visit to some of the _literati_ of

that city. He transcribes the account from the French _Hist. de

l’Expédition Chrestienne en la Chine_, 1618. But as I have the

Latin, which is the original and is more lucid, by me, I will

translate from that.[7]

“Not only at Peking, but in this capital also (Nanking) there is a

College of Chinese Mathematicians, and this one certainly is more

distinguished by the vastness of its buildings than by the skill

of its professors. They have little talent and less learning, and

do nothing beyond the preparation of the almanacs on the rules

of calculation made by the ancients; and when it chances that

events do not agree with their calculation they assert that what

they had calculated was the regular course of things, but that

the aberrant conduct of the stars was a prognostic from heaven of

something going to happen on the earth. This something they make

out according to their fancy, and so spread a veil over their

own blunders. These gentlemen did not much trust Father Matteo,

fearing, no doubt, lest he should put them to shame; but when at

last they were freed from this apprehension they came and amicably

visited the Father in hope of learning something from him. And when

he went to return their visit he saw something that really was new

and beyond his expectation.

“There is a high hill at one side of the city, but still within the

walls. On the top of the hill there is an ample terrace, capitally

adapted for astronomical observation, and surrounded by magnificent

buildings which form the residence of the Professors.... On this

terrace are to be seen astronomical instruments of cast-metal,

well worthy of inspection whether for size or for beauty; _and we

certainly have never seen or read of anything in Europe like them_.

For nearly 250 years they have stood thus exposed to the rain, the

snow, and all other atmospheric inclemencies, and yet they have

lost absolutely nothing of their original lustre. And lest I should

be accused of raising expectations which I do not justify, I will

do my best in a digression, probably not unwelcome, to bring them

before the eyes of my readers.

“The larger of these instruments were four in number. First

we inspected a great globe [A], graduated with meridians and

parallels; we estimated that three men would hardly be able to

embrace its girth.... A second instrument was a great sphere [B],

not less in diameter than that measure of the outstretched arms

which is commonly called a geometric pace. It had a horizon and

poles; instead of circles it was provided with certain double

hoops (_armillæ_), the void space between the pair serving the

purpose of the circles of our spheres. All these were divided into

365 degrees and some odd minutes. There was no globe to represent

the earth in the centre, but there was a certain tube, bored like

a gun-barrel, which could readily be turned about and fixed to

any azimuth or any altitude so as to observe any particular star

through the tube, just as we do with our vane-sights;[8]—not at all

a despicable device! The third machine was a gnomon [C], the height

of which was twice the diameter of the former instrument, erected

on a very large and long slab of marble, on the northern side of

the terrace. The stone slab had a channel cut round the margin, to

be filled with water in order to determine whether the slab was

level or not, and the style was set vertical as in hour-dials.[9]

We may suppose this gnomon to have been erected that by its aid the

shadow at the solstices and equinoxes might be precisely noted, for

in that view both the slab and the style were graduated. The fourth

and last instrument, and the largest of all, was one consisting

as it were of three or four huge astrolabes in juxtaposition [D];

each of them having a diameter of such a geometrical pace as I

have specified. The fiducial line, or _Alhidada_, as it is called,

was not lacking, nor yet the _Dioptra_.[10] Of these astrolabes,

one having a tilted position in the direction of the south,

represented the equator; a second, which stood crosswise on the

first, in a north and south plane, the Father took for a meridian;

but it could be turned round on its axis; a third stood in the

meridian plane with its axis perpendicular, and seemed to stand

for a vertical circle; but this also could be turned round so as

to show any vertical whatever. Moreover all these were graduated,

and the degrees marked by prominent studs of iron, so that in the

night the graduation could be read by the touch without a light.

All this compound astrolabe instrument was erected on a level

marble platform with channels round it for levelling. On each

of these instruments explanations of everything were given in

Chinese characters; and there were also engraved the 24 zodiacal

constellations which answer to our 12 signs, 2 to each.[11] There

was, however, one error common to all the instruments, viz. that,

in all, the elevation of the Pole was assumed to be 36°. Now there

can be no question about the fact that the city of Nanking lies in

lat. 32¼°; whence it would seem probable that these instruments

were made for another locality, and had been erected at Nanking,

without reference to its position, by some one ill versed in

mathematical science.[12]

[Illustration: Observatory Terrace.]

[Illustration: Observatory Instruments of the Jesuits.]

“Some years afterwards Father Matteo saw similar instruments at

Peking, or rather the same instruments, so exactly alike were

they, insomuch that they had unquestionably been made by the

same artist. And indeed it is known that they were cast at the

period when the Tartars were dominant in China; and we may without

rashness conjecture that they were the work of some foreigner

acquainted with our studies. But it is time to have done with these

instruments.”—(_Lib._ IV. _cap._ 5.)

In this interesting description it will be seen that the Armillary

Sphere [B] agrees entirely with that represented in illustration

facing p. 450. And the second of his photographs in my possession,

but not, I believe, yet published, answers _perfectly_ to the

curious description of the 4th instrument [D]. Indeed, I should

scarcely have been able to translate that description intelligibly

but for the aid of the photograph before me. It shows the three

_astrolabes_ or graduated circles with travelling indexes arranged

exactly as described, and pivoted on a complex frame of bronze; (1)

circle in the plane of the equator for measuring right ascensions;

(2) circle with its axis vertical to the plane of the last, for

measuring declinations: (3) circle with vertical axis, for zenith

distances? The Gnomon [A] was seen by Mr. Wylie in one of the lower

rooms of the Observatory (see below). Of the Globe we do not now

hear; and that mentioned by Lecomte among the ancient instruments

was inferior to what Ricci describes at Peking.

I now transcribe Mr. Wylie’s translation of an extract from a

Popular Description of Peking:

“The observatory is on an elevated stage on the city wall, in the

south-east corner of the (Tartar) city, and was built in the year

(A.D. 1279). In the centre was the _Tze-wei_[13] Palace, inside

of which were a pair of scrolls, and a cross inscription, by

the imperial hand. Formerly it contained the _Hwan-t’ien-e_ [B]

‘Armillary Sphere’; the _Keen-e_ [D?] ‘Transit Instrument’ (?);

the _Tung-kew_ [A] ‘Brass Globe’; and the _Leang-t’ien-ch’ih_,

‘Sector,’ which were constructed by Ko Show-king under the Yuen

Dynasty.

“In (1673) the old instruments having stood the wear of long past

years, had become almost useless, and six new instruments were

made by imperial authority. These were the _T’ien-t’ee_ ‘Celestial

Globe’ (6); _Chih-taoue_ ‘Equinoctial Sphere’ (2); _Hwang-taoue_

‘Zodiacal Sphere’ (1); _Te-p’ing kinge_ ‘Azimuthal Horizon’ (3);

_Te-p’ing weie_ ‘Altitude Instrument’ (4); _Ke-yene_ ‘Sextant’

(5). These were placed in the Observatory, and to the present

day are respectfully used. The old instruments were at the same

time removed, and deposited at the foot of the stage. In (1715)

the _Te-ping King-wei-e_ ‘Azimuth and Altitude Instrument’ was

made;[14] and in 1744 the _Ke-hang-foo-chin-e_ (literally ‘Sphere

and Tube instrument for sweeping the heavens’). All these were

placed on the Observatory stage.

“There is a wind-index-pole called the ‘Fair-wind-pennon,’ on which

is an iron disk marked out in 28 points, corresponding in number to

the 28 constellations.”[15]

✛ Mr. Wylie justly observes that the evidence is all in accord,

and it leaves, I think, no reasonable room for doubt that the

instruments now in the Observatory garden at Peking are those

which were cast aside by Father Verbiest[16] in 1673 (or 1668);

which Father Ricci saw at Peking at the beginning of the century,

and of which he has described the duplicates at Nanking; and which

had come down from the time of the Mongols, or, more precisely, of

Kúblái Khan.

Ricci speaks of their age as nearly 250 years in 1599; Verbiest

as nearly 300 years in 1668. But these estimates evidently point

to the _termination_ of the Mongol Dynasty (1368), to which the

Chinese would naturally refer their oral chronology. We have seen

that Kúblái’s reign was the era of flourishing astronomy, and that

the instruments are referred to his astronomer Ko Shéu-king; nor

does there seem any ground for questioning this. In fact, it being

once established that the instruments existed when the Jesuits

entered China, all the objections fall to the ground.

We may observe that the _number_ of the ancient instruments

mentioned in the popular Chinese account agrees with the number of

important instruments described by Ricci, and the titles of three

at least out of the four seem to indicate the same instruments. The

catalogue of the new instruments of 1673 (or 1668) given in the

native work also agrees _exactly_ with that given by Lecomte.[17]

And in reference to my question as to the _possibility_ that one

of Verbiest’s instruments might have been removed from the terrace

to the garden, it is now hardly worth while to repeat Mr. Wylie’s

assurance that there is no ground whatever for such a supposition.

The instruments represented by Lecomte are all still on the

terrace, only their positions have been somewhat altered to make

room for the two added in last century.

Probably, says Mr. Wylie, more might have been added from Chinese

works, especially the biography of Ko Shéu-king. But my kind

correspondent was unable to travel beyond the books on his own

shelves. Nor was it needful.

It will have been seen that, beautiful as the art and casting of

these instruments is, it would be a mistake to suppose that they

are entitled to equally high rank in scientific accuracy. Mr.

Wylie mentioned the question that had been started to Freiherr

von Gumpach, who was for some years Professor of Astronomy in the

Peking College. Whilst entirely rejecting the doubts that had been

raised as to the age of the Mongol instruments, he said that he had

seen those of Tycho Brahe, and the former are quite unworthy to be

compared with Tycho’s in scientific accuracy.

The doubts expressed have been useful in drawing attention to these

remarkable reliques of the era of Kúblái’s reign, and of Marco

Polo’s residence in Cathay, though I fear they are answerable for

having added some pages to a work that required no enlargement!

[Mr. Wylie sent a most valuable paper on _The Mongol Astronomical

Instruments at Peking_ to the Congress of Orientalists held at St.

Petersburg, which was reprinted at Shanghai in 1897 in _Chinese

Researches_. Some of the astronomical instruments have been removed

to Potsdam by the Germans since the siege of the foreign Legations

at Peking in 1900.—H. C.]

On these auguries, and on diviners and fortune-tellers, see

_Semedo_, p. 118 _seqq._; _Kidd_, p. 313 (also for preceding

references, _Mid. Kingdom_, II. 152; _Gaubil_, 136).

NOTE 2.—✛ The real cycle of the Mongols, which was also that of

the Chinese, runs: 1. Rat; 2. Ox; 3. Tiger; 4. Hare; 5. Dragon; 6.

Serpent; 7. Horse; 8. Sheep; 9. Ape; 10. Cock; 11. Dog; 12. Swine.

But as such a cycle [12 earthly branches, _Ti-chih_] is too short

to avoid confusion, it is combined with a co-efficient cycle of

_ten_ epithets [celestial Stems, _T’ien-kan_] in such wise as to

produce a 60-year cycle of compound names before the same shall

recur. These co-efficient epithets are found in four different

forms: (1) From the Elements: Wood, Fire, Earth, Metal, Water,

attaching to each a masculine and feminine attribute so as to make

ten epithets. (2) From the Colours: Blue, Red, Yellow, White,

Black, similarly treated. (3) By terms without meaning in Mongol,

directly adopted or imitated from the Chinese, _Ga_, Yi, Bing,

Ting, etc. (4) By the five Cardinal Points: East, South, Middle,

West, North. Thus 1864 was the first year of a 60-year cycle:—

1864 = (Masc.) _Wood-Rat_ Year = (Masc.) _Blue-Rat_ Year.

1865 = (Fem.) _Wood-Ox_ Year = (Fem.) _Blue-Ox_ Year.

1866 = (Masc.) _Fire-Tiger_ Year = (Masc.) _Red-Tiger_ Year.

1867 = (Fem.) _Fire-Hare_ Year = (Fem.) _Red-Hare_ Year.

1923 = (Fem.) _Water-Swine_ Year = (Fem.) _Black-Swine_ Year.

And then a new cycle commences just as before.

This Calendar was carried by the Mongols into all their

dominions, and it would appear to have long survived them in

Persia. Thus a document issued in favour of Sir John Chardin by

the _Shaikh-ul-Islám_ of Ispahan, bears the strange date for a

Mahomedan luminary of “The year of the Swine.” The Hindus also had

a 60-year cycle, but with them each year had an independent name.

The Mongols borrowed their system from the Chinese, who attribute

its invention to the Emperor Hwang-ti, and its initiation to the

61st year of his reign, corresponding to B.C. 2637. [“It was

Ta-nao, Minister to the Emperor Hwang-ti, who, by command of his

Sovereign, devised the sexagenary cycle. Hwang-ti began to reign

2697 B.C., and the 61st year of his reign was taken for the first

cyclical sign.” _P. Hoang_, _Chinese Calendar_, p. 11.—H. C.] The

characters representing what we have called the ten co-efficient

epithets are called by the Chinese the “Heavenly Stems”; those

equivalent to the twelve animal symbols are the “Earthly Branches,”

and they are applied in their combinations not to years only, but

to cycles of months, days, and hours, such hours being equal to

two of ours. Thus every year, month, day, and hour will have two

appropriate characters, and the four pairs belonging to the time

of any man’s birth constitute what the Chinese call the “Eight

Characters” of his age, to which constant reference is made in

some of their systems of fortune-telling, and in the selection

of propitious days for the transaction of business. To this

system the text alludes. A curious account of the principles of

prognostication on such a basis will be found in _Doolittle’s

Social Life of the Chinese_ (p. 579 _seqq._; on the Calendar, see

Schmidt’s Preface to _S. Setzen_; _Pallas, Sammlungen_, II. 228

_seqq._; _Prinsep’s Essays_, _Useful Tables_, 146).

[“Kubilai Khan established in Peking two astronomical boards

and two observatories. One of them was a Chinese Observatory

(_sze t’ien t’ai_), the other a Mohammedan Observatory (_hui

hui sze t’ien t’ai_), each with its particular astronomical and

chronological systems, its particular astrology and instruments.

The first astronomical and calendar system was compiled for the

Mongols by Ye-liu Ch’u-ts’ai, who was in Chingis Khan’s service,

not only as a high counsellor, but also as an astronomer and

astrologer. After having been convinced of the obsoleteness and

incorrectness of the astronomical calculations in the _Ta ming li_

(the name of the calendar system of the Kin Dynasty), he thought

out at the time he was at Samarcand a new system, valid not only

for China, but also for the countries conquered by the Mongols in

Western Asia, and named it in memory of Chingis Khan’s expedition

_Si ching keng wu yüan li_, _i.e._ ‘Astronomical Calendar

beginning with the year _Keng wu_, compiled during the war in the

west.’ Keng-wu was the year 1210 of our era. Ye-liu Ch’u-ts’ai

chose this year, and the moment of the winter solstice, for the

beginning of his period; because, according to his calculations,

it coincided with the beginning of a new astronomical or planetary

period. He took also into consideration, that since the year 1211

Chingis Khan’s glory had spread over the whole world. Ye-liu

Ch’u-ts’ai’s calendar was not adopted in China, but the system of

it is explained in the _Yuen-shi_, in the section on Astronomy and

the Calendar.

“In the year 1267, the Mohammedans presented to Kubilai their

astronomical calendar (_wan nien li_, _i.e._), the calendar of

ten thousand years. By taking this denomination in its literal

sense, we may conclude that the Mahommedans brought to China the

ancient Persian system, founded on the period of 10,000 years.

The compilers of the _Yuen-shi_ seem not to have had access to

documents relating to this system, for they give no details

about it. Finally by order of Kubilai the astronomers _Hui-Heng_

and _Ko Show-King_ composed a new calculation under the name

of _Shou-shi-li_, which came into use from the year 1280. It is

thoroughly explained in the _Yuen-shi_. Notwithstanding the fame

this system generally enjoyed, its blemishes came soon to light.

In the sixth month of 1302 an eclipse of the sun happened, and the

calculation of the astronomer proved to be erroneous (it seems

the calculation had anticipated the real time). The astronomers

of the Ming Dynasty explained the errors in the _Shou-shi-li_ by

the circumstance, that in that calculation the period for one

degree of precession of the equinox was taken too long (eighty-one

years). But they were themselves hardly able to overcome these

difficulties.” (_Palladius_, pp. 51–53.)—H. C.]

----------------------------------------------------------------------

[1] Besides the works quoted in the text I have only been able to

consult Gaubil’s notices, as abstracted in Lalande; and the

Introductory Remarks to Mr. J. Williams’s _Observations of Comets

... extracted from the Chinese Annals_, London, 1871.

[2] _Pinnula_. The French _pinnule_ is properly a sight-vane at the end

of a traversing bar. The _transverse lines_ imply that minutes were

read by the system of our _diagonal scales_; and these I understand

to have been subdivided still further by aid of a divided edge

attached to the sight-vane; qu. a Vernier?

[3] Verbiest himself speaks of the displaced instruments thus ... “ut

nova instrumenta astronomica facienda mihi imponeret, quæ scilicet

more Europæo affabre facta, et in specula Astroptica Pekinensi

collocata, æternam Imperii Tartarici memoriam apud posteritatem

servarent, _prioribus instrumentis Sinicis rudioris Minervæ,

quæ jam a_ trecentis _proxime_ annis _speculam occupabant, inde

amotis_. Imperator statim annuit illorum postulatis, et totius

rei curam, publico diplomate mihi imposuit. Ego itaque intra

quadriennis spatium sex diversi generis instrumenta confeci.” This

is from an account of the Observatory written by Verbiest himself,

and printed at Peking in 1668 (_Liber Organicus Astronomiæ

Europææ apud Sinas Restitutæ_, etc.). My friend Mr. D. Hanbury

made the extract from a copy of this rare book in the London

Institution Library. An enlarged edition was published in Europe.

(Dillingen, 1687.)

[4] On the contrary, he considered the photographs interesting, as

showing to how late a period the art of fine casting had endured.

[5] This ancient instrument is probably the same that is engraved in

Pauthier’s _Chine Ancienne_ under the title of “The Sphere of the

Emperor Shun” (B.C. 2255!).

[6] After the death of Kúblái astronomy fell into neglect, and when

Hongwu, the first Ming sovereign, took the throne (1368) the

subject was almost forgotten. Nor was there any revival till the

time of Ching. The latter was a prince who in 1573 associated

himself with the astronomer Hing-yun-lu to reform the state of

astronomy. (_Gaubil_.)

What Ricci has recorded (in Trigautius) of the dense ignorance

of the Chinese _literati_ in astronomical matters is entirely

consistent with the preceding statements.

[7] I had entirely forgotten to look at Trigault till Mr. Wylie sent

me the extract. The copy I use (_De Christianâ Expeditione apud

Sinas ... Auct. Nicolao Trigautio_) is of _Lugdun_. 1616. The first

edition was published at _August. Vindelicorum_ (Augsburg) in 1615:

the French, at Lyons, in 1616.

[8] “Pinnulis.”

[9] “_Et stilus eo modo quo in horologiis ad perpendiculum collocatus_.”

[10] The _Alidada_ is the traversing index bar which carries the

_dioptra_, _pinnules_, or sight-vanes. The word is found in some

older English Dictionaries, and in France and Italy is still

applied to the traversing index of a plane table or of a sextant.

Littré derives it from (Ar.) _’adád_, enumeration; but it is really

from a quite different word, _al-iḍádat_ عضادة “a door-post,” which

is found in this sense in an Arabic treatise on the Astrolabe. (See

_Dozy and Engelmann_, p. 140.)

[11] This is an error of Ricci’s, as Mr. Wylie observes, or of his

reporter.

The Chinese divide their year into 24 portions of 15 days each.

Of these 24 divisions twelve called _Kung_ mark the twelve places

in which the sun and moon come into conjunction, and are thus in

some degree analogous to our 12 signs of the Zodiac. The names of

these _Kung_ are entirely different from those of our sign, though

since the 17th century the Western Zodiac, with paraphrased names,

has been introduced in some of their books. But besides that, they

divide the heavens into 28 stellar spaces. The correspondence of

this division to the Hindu system of the 28 Lunar Mansions, called

_Nakshatras_, has given rise to much discussion. The Chinese _sieu_

or stellar spaces are excessively unequal, varying from 24° in

equatorial extent down to 24′. (_Williams_, op. cit.) [See _P.

Hoang_, _supra_ p. 449.]

[12] Mr. Wylie is inclined to distrust the accuracy of this remark, as

the only city nearly on the 36th parallel is P’ing-yang fu.

But we have noted in regard to this (Polo’s Pianfu, vol. ii. p. 17)

that a college for the education of Mongol youth was instituted

here, by the great minister Yeliu Chutsai, whose devotion to

astronomy Mr. Wylie has noticed above. In fact, two colleges were

established by him, one at Yenking, _i.e._ Peking, the other at

P’ing-yang; and astronomy is specified as one of the studies to be

pursued at these. (See _D’Ohsson_, II. 71–72, quoting _De Mailla_.)

It seems highly probable that the two sets of instruments were

originally intended for these two institutions, and that one set

was carried to Nanking, when the Ming set their capital there in

1368.

[13] The 28 _sieu_ or stellar spaces, above spoken of, do not extend to

the Pole; they are indeed very unequal in extent on the meridian

as well as on the equator. And the area in the northern sky not

embraced in them is divided into three large spaces called _Yuen_

or enclosures, of which the field of circumpolar stars (or circle

of perpetual apparition) forms one which is called _Tze-Wei_.

(_Williams_.)

The southern circumpolar stars form a fourth space, beyond the 28

_sieu_. _Ibid._

[14] “This was obviously made in France. There is nothing Chinese about

it, either in construction or ornament. It is very different from

all the others.” (_Note by Mr. Wylie._)

[15] “There follows a minute description of the brass clepsydra, and

the brass gnomon, which it is unnecessary to translate. I have seen

both these instruments, in two of the lower rooms.”—Id.

[16] [Ferdinand Verbiest, S.J., was born at Pitthens, near Courtrai; he

arrived in China in 1659 and died at Peking on the 29th January,

1688.—H. C.]

[17] We have attached letters A, B, C, to indicate the correspondences

of the ancient instruments, and cyphers 1, 2, 3, to indicate the

correspondences of the modern instruments.