John Napier Quotes

So ends this demonstratiue resolution of all difficulties of the Revelation, first of all dates and times, and last of the principall termes and matters, as to the meaner termes and smaller matters, they are interpreted in the notes of the principall treatise.

14 Proposition. The day of Gods judgement appears to fall betwixt the yeares of Christ, 1688. and 1700.

From the Radical table completed in this way, you will find with great exactness the logarithms of all sines between radius and the sine 45 degrees; from the arc of 45 degrees doubled, you will find the logarithm of half radius; having obtained all these, you will find the other logarithms. Arrange all these results as described, and you will produce a Table, certainly the most excellent of all Mathematical tables, and prepared for the most important uses.

9 Proposition. Everie Seale must containe the Space of Seven yeares.

4 Proposition. The kinges of the East, or four Angels, specified in the sixt trumpet, or sixt vial. Cap. 9. & 16. are the four nations, Mahometanes beyond and about Euphrates, who began their empire by Ottoman, in the yeare of Christ, 1296. or thereabout.

30 Proposition. The marke of the Romane beast, is that invisible profession of servitude and obedience, that his subjects hath professed to his Empire, since the first beginning thereof, noted afterward by the Pope, with divers visible markes.

Therefore, Sir, let it be your Majesty's continuall study (as called and charged thereunto by God) to reforme the universall enormities of your country, and first (taking example of the princely prophet David) to begin at your Majesty's owne house, familie and court, and purge the same of all suspicion of Papists and Atheists and Newtrals, whereof this Revelation foretelleth that the number shall greatly increase in these latter daies. For shall any Prince be able to be one of the destroyers of that great seate, and a purger of the world from Antichristianisme, who purgeth not his owne countrie? Shall he purge his whole countrie who purgeth not his owne house? Or shall he purge his house, who is not purged himself by private meditations with his God?

5 Proposition. The space of the fift trumpet or vial containeth 245. years, and so much also, every one of the rest of the trumpets or vials doe containe.

It is picked out from numbers progressing in continuous proportion. Of continuous progressions, an arithmetical is one which proceeds by equal intervals; a geometrical one which advances by unequal and proportionally increasing or decreasing intervals. Arithmetical progressions: 1, 2, 3, 4, 5, 6, 7, &c.; or 2, 4, 6, 8, 10, 12, 14, 16, &c, Geometrical progressions: 1, 2, 4, 8, 16, 32, 64, &c.; or 243, 81, 27, 9, 3, 1.

A Logarithmic Table is a small table by the use of which we can obtain a knowledge of all geometrical dimensions and motions in space, by a very easy calculation. It is deservedly called very small, because it does not exceed in size a table of sines; very easy, because by it all multiplications, divisions, and the more difficult extractions of roots are avoided; for by only a very few most easy additions, subtractions, and divisions by two, it measures quite generally all figures and motions.

To decrease geometrically is this, that in equal times, first the whole quantity then each of its successive remainders is diminished, always by a like proportional part.

28 Proposition. The image of the Beast, is these degenerate Princes, that in name onely were called Roman Emporours, and were neither Romans of blood, nor Emperours of Magnanimitie.

In my tender years and bairn-age, at schools, having on the one part contracted a loving familiaritie with a certain gentleman a papist, and on the other part being attentive to the sermons of that worthy man of God, Maister Christopher Goodman, teaching upon the Apocalyps, I was moved in admiration against the blindness of papists that could not most evidentlie see their seven hilled Citie of Rome, painted out there so lively by Saint John, as the Mother of all Spiritual Whoredome: that not onlie bursted I oute in continuall reasoning against my said familiar, but also from thence forth I determined with myself by the assistance of God's spirit to employ my study and diligence to search out the remanent mysteries of that holy booke (as to this houre praised be the Lord I have bin doing at all such times as convenientlie I might have occasion) &c.

16 Proposition. The 42. moneths, 1260 propheticall daies, three great daies and a halfe: And a time, times and halfe a time, signifieth everie one of them, 1260 Julliane yeares.

Any desired geometrical mean between two sines has for its Logarithm the corresponding arithmetical mean between the Logarithms of the sines.