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supplying the Sabbatic year-time required to complete the solar time, represented by the seventy weeks, we would add one year to every seven, and not one to every six, as in the case of Sabbath days. With these plain principles before us, we proceed to give various formulas by which the weeks may be interpreted.

Paragraph I

SEVENTY WEEKS EQUAL TO FIVE HUNDRED AND SIXTY-FOUR YEARS.

FORMULAS.-1. If to 490 years we add one-seventh of it for Sabbatic time, we shall have 560 years.

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2. An abbreviated week, we have seen, may consist entirely of secular time, or it may consist in whole or in part of it. Hence, if we take the Sabbatic year-time from a Sabbath week, and leave in the Sabbath days, we shall have 64 years. Now, if we multiply the 70 weeks by this, we shall have 430 years. As in this computation the Sabbaths of the Sabbatic year are taken out, the proportion to be added is less than one-seventh; and to obtain it, instead of dividing 430 by 7, we must divide it by 43, and take six parts of it. Dividing, therefore, 430 by 43, we have 10, and multiplying this by 6, we have 60, which, added to 430, gives 490; to this adding one-seventh, and we have 560.

3. By taking out all Sabbath days from a Sabbatic week, we have an abbreviated week of 6 years. Now, multiplying 70 weeks by 6, and we have 420; then adding one-seventh for Sabbatic time, we have 480, and then adding one-sixth for Sabbath-day time, and again we have 560.

4. By dropping both Sabbatic year and Sabbath-day time, we shall have an abbreviated week of 5 years. Now, multiplying 70 weeks by this, and we have 360 To this, if we add one-seventh for Sabbatic time, we

shall have 411, and, adding to this Sabbath day time, or one-sixth, we shall have 480. To this again, we must add one-sixth, which gives us 560. The reason for three additions, when both Sabbath and Sabbatic time is taken from the multiplier, is found in the fact, that when we multiplied by the full week of 7 years, we then added one-seventh; and when we multiplied by the week abbreviated by dropping only Sabbath day, or only Sabbatic time, we made two additions; but, when we dropped both Sabbath day and Sabbatic year time, we must, of course, make one more addition of sacred time.

5. We have now shown, that by the various kinds of weeks multiplied into the 70, we obtain 560 years. We now show the same results, in another way, by estimating the weeks as years:

First. As 364 days make a year, and as 52 weeks also make a Hebrew year, it is obvious that 70 weeks will be equal to one year and 18-52. Now, 364 years plus 18-52 of 364 are just equal to 490, and, adding Sabbatic time, we have 560 years.

Second. It is well known that 49 weeks represented a Hebrew year; indeed, it is an abbreviated year, of a week of weeks of weeks, or of 343 days. Seventy weeks will equal one year and three-sevenths of a year of this kind; and one and three-sevenths of 343 are just equal to 590; and adding one-seventh, or Sabbatic time, and we again have 560 years.

Third. Forty-two weeks are, also, another form of an abbreviated year, and such a year consists, of course, of 294 days; and 70 weeks of this kind will equal one and two-thirds of 70 weeks; and one and two-thirds of 294 are just equal, again, to 490; and, adding Sabbatic time, we again have 560.

Fourth. Thirty-six weeks are the lowest form of an

abbreviated year, and a year of this kind will consist of 252 days; and 70 weeks of this kind of year will make a year and 34-36; and once 252 and 34-36 of this, will just equal 490 again; and, Sabbatic time being added, will give us, again, 560 years.

Thus have we found eight modes of obtaining 560 years, and each one conforming strictly to Hebrew modes of estimation.

We remark, that 36 years of secular time are found to equal just 52 years, if we add to the 36 their proportional amount of sacred time. For example: in a jubilee period, there are seven Sabbatic, or rest years, and in the remaining 42 years, there are 12,348 days of secular time; for, in each of the 42 years there are 52 Sabbath days, and 18 extra holy days. Then, as 12,348 days of secular time imply a full period of jubilee time, or 49 years, we find that sacred time, added to 36 secular years in the same proportion, gives 52 years.

Example. 12,348: 49: 364x36=52.

Or, as in 364 days, there are 18+52, or 70 sacred days, we will have the proportion of sacred time to secular as 70 to 294. Then, if 70 sacred days give 294 secular ones, or vice versa, then 42 years will give 10 years. Example. 294: 70: 42-10.

Let this quotient be added to 42, and again we have 52 years. In these cases, the proportion of sacred to secular time, is as 1 to 6; 70 to 294; and 10 to 52. In these cases, the year of 364 days, or 52 weeks, is the basis of the results. We shall add several others.

First. As one kind of Hebrew year consists of 360 days, there will be in it 513 weeks, and 70 weeks will make one and a third years of this kind, which equal 480. Now, adding Sabbath day time, or one sixth, to this, and we again have 560.

Second. If we take one and one third of 364, as we did of 360, we shall have 4851, and, adding to this Sabbath day time, we shall have 565.

It will now be seen, that we have obtained two periods of Hebrew years; one of 560 years, and another of 5653. Neither of these amounts are in form exactly what we want, but they are in value precisely what we want, as we will now show.

1. The Hebrew year of 360 days, or years, is only a symbolic year, and was never in use as a civil year; it was used only among the prophets. It being a year, however, it must symbolize the kinds of Hebrew years which were in use. Now, as one kind of Now, as one kind of year consisted of 364 days, a year of years of this kind would equal 364 years multiplied by 364 days, and these days would, of course, be represented by the year of 360 years, or days. Now, 364× 364 equal 132,496 days, or 362 years 2781 days. Then, as 360 years equal 132,496 days, 560 will equal 206,1048 days, which are exactly equal to 564 solar years, and 109 days.

2. We have seen that the 70 weeks are equal to 565% years. As these must be reckoned as consisting of 364 days each, by reducing them to exact solar time, they are equal to just 564 years, and 109 days.

3. We have seen that 70 weeks are equal to one year, and 18—52, and that 119 of 364 equal 490, and that this, by Sabbatic addition, equals 560.

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Now, as 364 years, multiplied by 364 days, equal 362 years 278 days, if we add Sabbatic time, or one-seventh of it, we shall have 151,424 days, or 4144 years; then adding Sabbath time or one sixth, and we have 176,6611 days or 483 years, 250 days. Then, to this again, add Sabbath time, and again we have 564 years and 109 days. These three additions of sacred time, we have

seen, are allowable, when we begin with the lowest amount to which 70 weeks are reducible.

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4. A fourth mode of computing these weeks is very remarkable and exact, and confirmatory of all that we have said. A Hebrew year in one of its forms, consists of 49 weeks, or 343 days, and in another, of 364; making just 21 days difference between them. The former of these, is an abbreviated year, of course. Now, then, a Sabbatic week of years of this kind, would, when abbreviated by taking away the Sabbaths, be abbreviated by just one year and 21 days, or 14 years. Then, as one week must have 1 years added to it, seventy weeks 4 would require the addition of 109 years, which would make 8938 years. Now, multiply this by seven, and we shall have 564 years. This lacks only four days of equaling the other amount already obtained, and in so vast a period, so small a variation can be no sort of objection to it, especially as the coincidence was to be in weeks rather than in days. Having now, in a variety of differing ways, arrived at the fact that the 70 weeks were 564 years, and 105 or 109 days long, we proceed to show that this sum exactly coincides with the fulfillment of prophecy.

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Paragraph II.

FULFILLMENT SHOWN INFALLIBLY.

1. To the Crucifixion.-We have shown that the seventy weeks were abbreviated weeks, representing years, and that, to obtain their full value, a certain amount of sacred time was to be added to them. We have also shown, that in whatever manner they may be supposed to be abbreviated, that the result is in all cases the same. We have also shown, that the seventy weeks, when reduced to solar time, amounted to 206,105 days,

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