-TX which

by the definition is a measure of the centrifugal force."

A more extraordinary reading can scarcely be conceived as common observation on the paper sets it aside.

In the first place the centre S, is supposed to be the point from which two forces act on a body at P. The one force is centripetal attraction, a full impulse or passion, by mass of both bodies to unite along the line S P to collapse. The only perpendicular line to that line of motion for the body at P straight down the same space to S, is for P or rather for both bodies straight away from each other to increase their distance, by their whole motion. Thus force over the measure of gravity by mass of both in inertia and attraction, or a double over-force to either, alone is needed; for the inertia against attraction itself will ever keep them still on the line of junction, by the royalty claim of space to hold as the first law or possession; i.e., as space cannot loosen the royalty law of inertia in the hand of God, then the force of attraction by the quickening of his Spirit to the aid of love for union, addingly, seeks to bring them straight together, and both these are according to mass for a strata covenant law of justice; and so a force to enlarge the distance must be so much dividing of a threefold power in the mass ratio, the double to inertia being required for attraction or a therein property organized in both for their centres of gravity to gain and there to develope as the combining force, i.e., a chemical property doubling both stability and freedom by gravity and trebling it for radiation. In earthly experiments we do not confuse the ideas,

a perpendicular on and of a line, yet we find it in Newton's Principia and see why!—If a shot be thrown from where we stand beside the cannon used, and we

are told it is thrown by a centrifugal force perpendicular to the centripetal, our nerves may become rather shaken as to the accuracy of the elevation, if not secure it will fall right back into the chamber of deliverance; but we are not exactly expecting our safety so near, if the shot be rectilineal, and point-blank towards us, and that our engineer is rather defective in terms and style. Newton, then, here supposes, and so concedes, that our known powers exist, and are so organized in stars; the one so as to work towards a true perpendicular from the centre of the universe, (where the whole power of his discovered law of attraction would otherwise submerge the mass, until it was one solid in silent darkness and stillness for ever,) and having a pliancy to bend to a rectilineal line of varied angles circulating. The right arm of God, used in covenant over the solid, is the constant exercise of the same exclusive power, which belonging alone to Him, was the proof to Adam (after he was moved to Eden, to see the new creations of flora and domestic animals,) and to the multitude fed by Jesus, that he is God, i.e., the creator of new substance out of nothing. The steadily sustained flight and times of the planets prove this by scientific demonstration as plainly as ever. Thus our former premises that the whole universe is a well-ordered temple of types to true theology and doctrine, as well as a means of blessing to our temporal need, is proved in beauty, sublimity, and equity.

On this problem Newton says, Now, since P Q represents the whole motion of the body, P T will represent that part of it which is towards the centre. The modern philosophers, who confound motion with its forcing causes, have certainly the consolation here of finding the greater mind of their prince of physicists making it also. For all the motion was

simply along P Q; but what properties and lines of inclination in forces in conflict on the centre of P did it, or what share belonged in the struggle to each is another matter.

Any part of the motion must be measured on the line of motion, or otherwise how is Kepler's second law for the equal spaces of the radius vector with reduced lengths, but in equal times, to be got at? If we are measuring the motions it must be a question of the time or law of mediated velocity on comparison of actions in the whole body of the universe, by taking the velocity, or full rotation of one part, from point to point, as a scale. The perfection with which this is done in a globe, not only on the ratio of properties, for motion against the initial energy of inertia and attraction, but on the complicated activities of chemistry and magnetic attraction also, proves how perfectly the law of constant submission in all the properties, to be alive only by a solid for its residence, has been attended to by the Creator, so that time is the given order of comparative activity in nature on its own fundamental laws as organic associates, as we can on the same laws organize and compare the forces of our velocipedes of wind, water, air and steam or even gasses and electricity. We usually measure a motion after it is known, but we measure out the forces if we have wisdom and true skill first which is to make the motion, if it be of

NOTE. No doubt many readers will be amazed at the audacity of any one attacking the accuracy of Newton's Principia; but let them remember great men may err on some points, and we need not be slaves to names. If Newton has used the same term for two things which differ, not knowing one of them correctly, and thrown them indifferently together in his expositions, it is impossible but he must have often contradicted himself in terms, if not in geometry.

our creations, or we make a muck of it. Thus, we do not call motion and heat the same thing.

PT is a straight line for motion on PS, while the actual motion was all a curve-which crooked thing mathematics can boldly manage to make straight on the just law of the circle for any perfect measure in unity of power in it, and why but because a circle, measured by its radius from the centre is reducible to a comparison in time.* Newton, then, was measuring two forces, which can only be called equal on the rule, that both must be equal to their business by uniting to dispose of one body, i.e., both equal to their work, as organized in and of the body flying; but as a calculation of the power of the centrifugal force to work the oracle of time by a body sustained, and moved around S, where the point of superior centripetal force resided, he was finding the power of the greater over that lesser on the straight line S P extant at the time of start, and extant all through the motion in a line straight from one body towards the other. He is obliged here to correctly designate the motive power a force against a tendency. In Problem 57 then we find Newton was measuring all the primary forces which regulated as well as caused the motion of a body

* The circumference of a circle is three times the diameter, and a seventh, or measure of evidence for power needed to work it against mass in a circle of a seventh over force for a gain in law, as we shall see.

NOTE.-The idea of the poet is as true for the universe on a body forced to revolve around its own centre, as for a globe.

"A kind, a philosophic calm

The cool creation wears.

And what day drank of dewy streams

The gentle night repairs.” (Cunningham.)

What are the repairs if not in solids, to the whole mass new?

from P to Q. That the resisting or curbing force is nature's natural tendency to inertia, first grinding along or grumbling and desiring junction on the perpendicular of separation, both of which are equal to mass or solidity of being in all bodies between S and P. That S Q, being the measure of the actual last position from P, has in S X its equal as the same distance, so that P X the other part of the whole first distance is the amount of loss in elevation or the triumph of the centripetal force over the centrifugal; and so P X measures the comparative advantage of the centripetal force in the straight line. Now SX must be also the retained force of some real force, as it is the other part of the whole line, when only too forces working in each other's perpendicular is to be measured, SQ and SX being equals from S.

Of what use then is T X?What did the worthy astronomer and geometer prove by it? but the power of a requisite third body or force in mass required in all nature to regulate a curve-under a straight force up against a straight force down the line. What would the nautical engineer-the cannonier -the common mechanic, or any other, use it for, but the sustaining and additional resisting force required in strataed ether for leverage outward to preserve the flight, i.e.. the measure of solidity in the medium the bodies pass through; for all move whether as parts of one body as solids of this globe passing through fluids, or solids of one universe passing through apparent empty space: apparently empty only, by the refinement of the fluid, but certainly solid to the glory of the divine wisdom and the consistency of nature for blessing. Thus we learn that the impact of solid resistance feebly made by a fluid, united to the power of a flowing globe to swell by light for its more powerful enforcer of a passage,