The Ecliptic.]

In the Center, No 1. represents the SUN, supported by it’s Axis

inclining almost 8 Degrees from the Axis of the Ecliptic; and turning

round in 25-1/4 days on its Axis, of which the North Pole inclines

toward the 8th Degree of Pisces in the great Ecliptic (No. 11.) whereon

the Months and Days are engraven over the Signs and Degrees in which the

Sun appears, as seen from the Earth, on the different days of the year.

[Sidenote: Mercury.]

The nearest Planet (No. 2) to the Sun is _Mercury_, which goes round him

in 87 days 23 hours, or 87-23/24 diurnal rotations of the Earth; but has

no Motion round its Axis in the Machine, because the time of its diurnal

Motion in the Heavens is not known to us.

[Sidenote: Venus.]

The next Planet in order is _Venus_ (No. 3) which performs her annual

Course in 224 days 17 hours; and turns round her Axis in 24 days 8

hours, or in 24-1/3 diurnal rotations of the Earth. Her Axis inclines 75

Degrees from the Axis of the Ecliptic, and her North Pole inclines

towards the 20th Degree of Aquarius, according to the observations of

_Bianchini_. She shews all the Phenomena described from the 30th to the

44th Article in Chap. I.

[Sidenote: The Earth.]

Next without the Orbit of Venus is the _Earth_ (No. 4) which turns round

its Axis, to any fixed point at a great distance, in 23 hours 56 minutes

4 seconds of mean solar time (221 & _seq._) but from the Sun to the Sun

again in 24 hours of the same time. No. 6 is a sidereal Dial-Plate under

the Earth; and No. 7 a solar Dial-Plate on the cover of the Machine. The

Index of the former shews sidereal, and of the latter, solar time; and

hence, the former Index gains one entire revolution on the latter every

year, as 365 solar or natural days contain 366 sidereal days, or

apparent revolutions of the Stars. In the time that the Earth makes

365-1/4 diurnal rotations on its Axis, it goes once round the Sun in the

Plane of the Ecliptic; and always keeps opposite to a moving Index (No.

10) which shews the Sun’s daily change of place, and also the days of

the months.

The Earth is half covered with a black cap for dividing the apparently

enlightened half next the Sun, from the other half, which when turned

away from him is in the dark. The edge of the cap represents _the Circle

bounding Light and Darkness_, and shews at what time the Sun rises and

sets to all places throughout the year. The Earth’s Axis inclines 23-1/2

Degrees from the Axis of the Ecliptic, the North Pole inclines toward

the beginning of Cancer; and keeps its parallelism throughout its annual

Course § 48, 202; so that in Summer the northern parts of the Earth

incline towards the Sun, and in the Winter from him: by which means, the

different lengths of days and nights, and the cause of the various

seasons, are demonstrated to sight.

There is a broad Horizon, to the upper side of which is fixed a Meridian

Semi-circle in the North and South Points, graduated on both sides from

the Horizon to 90° in the Zenith, or vertical Point. The edge of the

Horizon is graduated from the East and West to the South and North

Points, and within these Divisions are the Points of the Compass. On the

lower side of this thin Horizon Plate stand out four small Wires, to

which is fixed a Twilight Circle 18 Degrees from the graduated side of

the Horizon all round. This Horizon may be put upon the Earth (when the

cap is taken away) and rectified to the Latitude of any place: and then,

by a small Wire called _the Solar Ray_, which may be put on so as to

proceed directly from the Sun’s Center towards the Earth’s, but to come

no farther than almost to touch the Horizon, the beginning of Twilight,

time of Sun-rising, with his Amplitude, Meridian Altitude, time of

Setting, Amplitude, and end of Twilight, are shewn for every day of the

year, at _that_ place to which the Horizon is rectified.

[Sidenote: The Moon.]

The Moon (No. 5) goes round the Earth, from between it and any fixed

point at a great distance, in 27 days 7 hours 43 minutes, or through all

the Signs and Degrees of her Orbit; which is called _her Periodical

Revolution_; but she goes round from the Sun to the Sun again, or from

Change to Change, in 29 days 12 hours 45 minutes, which is _her

Synodical Revolution_; and in that time she exhibits all the Phases

already described § 255.

When the above-mentioned Horizon is rectified to the Latitude of any

given place, the times of the Moon’s rising and setting, together with

her Amplitude, are shewn to that place as well as the Sun’s; and all the

various Phenomena of the Harvest Moon § 273 & _seq._ made obvious to

sight.

[Sidenote: The Nodes.]

The Moon’s Orbit (No. 9.) is inclined to the Ecliptic, (No. 11.) one

half being above, and the other below it. The Nodes, or Points at 0 and

0 lie in the Plane of the Ecliptic, as described § 317, 318, and shift

backward through all it’s Signs and Degrees in 18-2/3 years. The Degrees

of the Moon’s Latitude, to the highest at _NL_ (North Latitude) and

lowest at _SL_ (South Latitude) are engraven both ways from her Nodes at

0 and 0; and, as the Moon rises and falls in her Orbit according to its

inclination, her Latitude and Distance from her Nodes are shewn for

every day; having first rectified her Orbit so as to set the Nodes to

their proper places in the Ecliptic: and then, as they come about at

different, and almost opposite times of the year § 319, and then point

towards the Sun, all the Eclipses may be shewn for hundreds of years

(without any new rectification) by turning the Machinery backward for

time past, or forward for time to come. At 17 Degrees distance from each

Node, on both Sides, is engraved a small Sun; and at 12 Degrees

distance, a small Moon; which shew the limits of solar and lunar

Eclipses § 317: and when, at any change, the Moon falls between either

of these Suns and the Node, the Sun will be eclipsed on the day pointed

to by the annual Index (No. 10,) and as the Moon has then North or South

Latitude, one may easily judge whether that Eclipse will be visible in

the Northern or Southern Hemisphere; especially as the Earth’s Axis

inclines towards the Sun or from him at that time. And when, at any

Full, the Moon falls between either of the little Moon’s and Node, she

will be eclipsed, and the annual Index shews the day of that Eclipse.

There is a Circle of 29-1/2 equal parts (No. 8.) on the cover of the

Machine, on which an Index shews the days of the Moon’s age.

[Sidenote: PLATE IX. Fig. X.]

There are two Semi-circles fixed to an elliptical Ring, which being put

like a cap upon the Earth, and the forked part _F_ upon the Moon, shews

the Tides as the Earth turns round within them, and they are led round

it by the Moon. When the different Places come to the Semi-circle

_AaEbB_, they have Tides of Flood; and when they come to the Semicircle

_CED_ they have Tides of Ebb § 304, 305; the Index on the hour Circle

(No. 7.) shewing the times of these Phenomena.

There is a jointed Wire, of which one end being put into a hole in the

upright stem that holds the Earth’s cap, and the Wire laid into a small

forked piece which may be occasionally put upon Venus or Mercury, shews

the direct and retrograde Motions of these two Planets, with their

stationary Times and Places as seen from the Earth.

The whole Machinery is turned by a winch or handle (No. 12,) and is so

easily moved that a clock might turn it without any danger of stopping.

To give a Plate of the wheel-work of this Machine, would answer no

purpose, because many of the wheels lie so behind others as to hide them

from sight in any view whatsoever.

[Sidenote: Another ORRERY.

Astronomy Explained Upon Sir Isaac Newton's Principles And made easy to those who have not studied mathematics · 第 238 / 275 题