The Cataphrygians brought in also several other superstitions: such as were the doctrine of Ghosts, and of their punishment in Purgatory, with prayers and oblations for mitigating that punishment, as Tertullian teaches in his books De Anima and De Monogamia. They used also the sign of the cross as a charm. So Tertullian in his book de Corona militis... All these superstitions the Apostle refers to, where he saith: Now the Spirit speaketh expressly, that in the latter times some shall depart from the faith, giving heed to seducing spirits, and doctrines of devils, the Dæmons and Ghosts worshiped by the heathens, speaking lies in hypocrisy, about their apparitions, the miracles done by them, their relics, and the sign of the cross, having consciences seared with a hot iron; forbidding to marry, and commanding to abstain from meats, &c. 1 Tim. iv. 1,2,3. From the Cataphrygians these principles and practices were propagated down to posterity. For the mystery of iniquity did already work in the Apostles days in the Gnostics, continued to work very strongly in their offspring the Tatianists and Cataphrygians, and was to work till that man of sin should be revealed; whose coming is after the working of Satan, with all power and signs, and lying wonders, and all deceivableness of unrighteousness; colored over with a form of Christian godliness, but without the power thereof, 2 Thess. ii. 7-10.

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Henceforward the Christian Churches having a form of godliness, but denying the power thereof, came into the hands of the Encratites: and the Heathens, who in the fourth century came over in great numbers to the Christians, embraced more readily this sort of Christianity, as having a greater affinity with their old superstitions, than that of the sincere Christians; who by the lamps of the seven Churches of Asia, and not by the lamps of the Monasteries, had illuminated the Church Catholic during the three first centuries.

Qu. 13. Do not several sorts of Rays make Vibrations of several bignesses, which according to their bigness excite Sensations of several Colours, much after the manner that the Vibrations of the Air, according to their several bignesses excite Sensations of several Sounds? And particularly do not the most refrangible Rays excite the shortest Vibrations for making a Sensation of deep violet, the least refrangible the largest form making a Sensation of deep red, and several intermediate sorts of Rays, Vibrations of several intermediate bignesses to make Sensations of several intermediate Colours?

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As all regions below are replenished with living creatures... so may the heavens above be replenished with beings whose nature we do not understand. He that shall well consider the strange and wonderful nature of life and the frame of the Animals, will think nothing beyond the possibility of nature, nothing too hard for the omnipotent power of God. And as the Planets remain in their orbs, so may any other bodies subsist at any distance from the earth, and much more may beings, who have sufficient power of self motion, move whether they will, and continue in any regions of the heavens whatever, there to enjoy the society of one another, and by their messengers or Angels to rule the earth and convers with the remotest regions. Thus may the whole heavens or any part thereof whatever be the habitation of the Blessed, and at the same time the earth be subject to their dominion. And to have thus the liberty and dominion of the whole heavens and the choice of the happiest places for abode seems a greater happiness than to be confined to any one place whatever.

I do not define time, space, place, and motion, as being well known to all. Only I must observe, that the common people conceive those quantities under no other notions but from the relation they bear to sensible objects. And thence arise certain prejudices, for the removing of which it will be convenient to distinguish them into absolute and relative, true and apparent, mathematical and common.

In the beginning of the Jewish war in Nero's reign, the Apostles fled out of Judea with their flocks; some beyond Jordan to Pella and other places, some into Egypt, Syria, Mesopotamia, Asia minor, and elsewhere. Peter and John came into Asia, and Peter went thence by Corinth to Rome; but John staying in Asia, was banished by the Romans into Patmos, as the head of a party of the Jews, whose nation was in war with the Romans. By this dispersion of the Christian Jews, the Christian religion, which was already propagated westward as far as Rome, spread fast into all the Roman Empire, and suffered many persecutions under it till the days of Constantine the great and his sons: all which is thus described by Daniel. And such as do wickedly against the covenant, shall he, who places the abomination, cause to dissemble, and worship the heathen Gods; but the people among them who do know their God, shall be strong and act. And they that understand among the people, shall instruct many: yet they shall fall by the sword, and by flame, and by captivity, and by spoil many days. Now when they shall fall, they shall be holpen with a little help, viz. in the reign of Constantine the great; and at that time by reason of their prosperity, many shall come over to them from among the heathen, and cleave to them with dissimulation. But of those of understanding there shall still fall to try God's people by them and to purge them from the dissemblers, and to make them white even to the time of the end: because it is yet for a time appointed.

In Constructions that are equally Geometrical, the most simple are always to be preferr'd. This Law is so universal as to be without Exception. But Algebraick Expressions add nothing to the Simplicity of the Construction; the bare Descriptions of the Lines only are here to be consider'd and these alone were consider'd by those Geometricians who joyn'd a Circle with a right Line. And as these are easy or hard, the Construction becomes easy or hard: And therefore it is foreign to the Nature of the Thing, from any Thing else to establish Laws about Constructions. Either therefore let us, with the Antients, exclude all Lines besides the Circle, and perhaps the Conick Sections, out of Geometry, or admit all, according to the Simplicity of the Description. If the Trochoid were admitted into Geometry, we might, by its Means, divide an Angle in any given Ratio. Would you therefore blame those who should make Use of this Line... and contend that this Line was not defin'd by an Æquition, but that you must make use of such Lines as are defin'd by Æquations?

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For understanding the Prophecies, we are, in the first place, to acquaint our-selves with the figurative language of the Prophets. This language is taken from the analogy between the world natural, and an empire or kingdom considered as a world politic. Accordingly, the whole world natural consisting of heaven and earth, signifies the whole world politic, consisting of thrones and people, or so much of it as is considered in the Prophecy: and the things in that world signify the analogous things in this. For the heavens, and the things therein, signify thrones and dignities, and those who enjoy them; and the earth, with the things thereon, the inferior people; and the lowest parts of the earth, called Hades or Hell, the lowest or most miserable part of them. Whence ascending towards heaven, and descending to the earth, are put for rising and falling in power and honor: rising out of the earth, or waters, and falling into them, for the rising up to any dignity or dominion, out of the inferior state of the people, or falling down from the same into that inferior state; descending into the lower parts of the earth, for descending to a very low and unhappy estate; speaking with a faint voice out of the dust, for being in a weak and low condition; moving from one place to another, for translation from one office, dignity, or dominion, to another; great earthquakes, and the shaking of heaven and earth, for the shaking of kingdoms, so as to distract or overthrow them; the creating a new heaven and earth, and the passing away of an old one, or the beginning and end of the world, for the rise and ruin of the body politic signified thereby.

As Attraction is stronger in small Magnets than in great ones in proportion to their Bulk, and Gravity is greater in the Surfaces of small Planets than in those of great ones in proportion to their bulk, and small Bodies are agitated much more by electric attraction than great ones; so the smallness of the Rays of Light may contribute very much to the power of the Agent by which they are refracted.