Duration of central Eclipses of the Moon.]

348. When the Moon is Full at 12 degrees from either of her Nodes, she

just touches the Earth’s shadow but enters not into it. Let _GH_ be the

Ecliptic, _ef_ the Moon’s Orbit where she is 12 degrees from the Node at

her Full; _cd_ her Orbit where she is 6 degrees from the Node, _ab_ her

Orbit where she is Full in the Node, _AB_ the Earth’s shadow, and _M_

the Moon. When the Moon describes the line _ef_ she just touches the

shadow but does not enter into it; when she describes the line _cd_ she

is totally though not centrally immersed in the shadow; and when she

describes the line _ab_ she passes by the Node at _M_ in the center of

the shadow, and takes the longest line possible, which is a diameter,

through it: and such an Eclipse being both total and central is of the

longest duration, namely, 3 hours 57 minutes 6 seconds from the

beginning to the end, if the Moon be at her greatest distance from the

Earth: and 3 hours 37 minutes 26 seconds, if she be at her least

distance. The reason of this difference is, that when the Moon is

farthest from the Earth she moves slowest; and when nearest to it,

quickest.

[Sidenote: Digits.]

349. The Moon’s diameter, as well as the Sun’s, is supposed to be

divided into twelve equal parts called _Digits_; and so many of these

parts as are darkened by the Earth’s shadow, so many Digits is the Moon

eclipsed. All that the Moon is eclipsed above 12 Digits, shew how far

the shadow of the Earth is over the body of the Moon, on that edge to

which she is nearest at the middle of the Eclipse.

[Sidenote: Why the beginning and end of a lunar Eclipse is so difficult

to be determined by observation.]

350. It is difficult to observe exactly either the beginning or ending

of a lunar Eclipse, even with a good Telescope; because the Earth’s

shadow is so faint, and ill defined about the edges, that when the Moon

is either just touching or leaving it, the obscuration of her limb is

scarce sensible; and therefore the nicest observers can hardly be

certain to four or five seconds of time. But both the beginning and

ending of solar Eclipses are visibly instantaneous; for the moment that

the edge of the Moon’s Disc touches the Sun’s, his roundness seems a

little broke on that part; and the moment she leaves it he appears

perfectly round again.

[Sidenote: The use of Eclipses in Astronomy, Geography, and Chronology.]

351. In Astronomy, Eclipses of the Moon are of great use for

ascertaining the periods of her motions; especially such Eclipses as are

observed to be alike in all circumstances, and have long intervals of

time between them. In Geography, the Longitudes of places are found by

Eclipses, as already shewn in the eleventh chapter: but for this purpose

Eclipses of the Moon are more useful than those of the Sun, because they

are more frequently visible, and the same lunar Eclipse is of equal

largeness and duration at all places where it is seen. In Chronology,

both solar and lunar Eclipses serve to determine exactly the time of any

past event: for there are so many particulars observable in every

Eclipse, with respect to its quantity, the places where it is visible

(if of the Sun) and the time of the day or night; that ’tis impossible

there can be two Eclipses in the course of many ages which are alike in

all circumstances.

[Sidenote: The darkness at our SAVIOUR’s crucifixion supernatural.]

352. From the above explanation of the doctrine of Eclipses it is

evident, that the darkness at our SAVIOUR’s crucifixion was

supernatural. For he suffered on the next day after eating his last

Passover-Supper, on which day it was impossible that the Moon’s shadow

could fall on the Earth, for the _Jews_ kept the Passover at the time of

Full Moon: nor does the darkness in total Eclipses of the Sun last four

minutes in any place § 333, whereas the darkness at the crucifixion

lasted three hours, _Matt._ xxviii. 15. and overspread at least all the

land of _Judea_.

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