noun: the length of a straight line passing through the center of a circle and connecting two points on the circumference.

noun: a straight line connecting the center of a circle with two points on its perimeter (or the center of a sphere with two points on its surface).

**Keely**

"The aerial propeller has a sympathetic polar accumulator and disperser in one instrument, which is entirely distinct from any of the devices intended for terrestrial use; also other mechanical adjuncts not needed on land nor water.

All forms of non-sympathetic machinery have, associated with them, conditions of centrifugal force on the ratio of the velocity induced; the diverging power from the center of induction being governed specifically by its gravital weight according to the **diameter** it occupies in its circle of rotation.

In a sympathetic negative circuit this order of conditions is reversed; for the power of neutral attraction draws the molecules of any mass, no matter what the weight, toward the center of rotation (instead of toward its periphery) according to the intensity of the negative vibration that is induced upon that particular circle.

Our earth, in its routine of revolution, is governed by the same law in every particular; its mass tending toward its centre of neutrality with a force that is equivalent to the character and velocity of its rotation.(3) If its rotation were increased, the tendency of everything associated with it would be increased toward its centre of neutrality on the same ratio. That is, a pound in weight would, under certain conditions of increased velocity, become two pounds in weight. The laws governing the sympathetic rotation of vibratory machinery are the same laws that govern planetary suspension. To those who have not witnessed the operation of my devices, my theories must indeed seem wild; but the laws of nature are the same yesterday today and forever. They know no change; and sympathetic physics, demonstrated mechanically, must triumph over all ridicule and opposition in the end. To contradict the laws governing sympathetic rotation is to contradict the laws governing planetary suspension, as I am prepared to demonstrate.

If the earth were rotated on a shaft by mechanical force, the present condition of its rotations would be reversed; everything on its surface would fly off at a tangent, on the ratio of the velocity induced. The equilibrium of all things would also be changed.

The gyroscope reveals astounding facts in relation to this philosophy, even when operated mechanically. No other known device is so nearly associated with sympathetic vibratory physics.

The vitalization of the disks for the polar and depolar field is established on the ratio of thirds, sixths, and ninths; the ninths being the circuit occupied by the polar field, must represent, in the scale of vitalized focalized intensity, 100 in my system: sixths in the depolar field, or 66 2/3; and in the neutral field, or thirds, 33 1/3. The triplets must represent one true chord of equation. The sympathetic transmitter transfers any degree of intensity desired from zero up to disintegration; all the transfers being made above the line of the first inaudible, as associated with my resonating system of transfer. On the sixths and ninths, in the progressive triple subdivision of the elements (4) of water, the nearest sympathetic approach is made to the high luminous, which is the main sympathetic link to the earth's polar negative envelope, and the one whereby coordination is effected for commercial work. In short, this progressive condition establishes the necessary association between celestial radiation and terrestrial outreach, in regard to controlling the polar negative attractive force in mechanics; whether for aerial navigation or for terrestrial commercial work, in all its multiplied forms.

The atmospheric envelope of our earth owes its activity and its volume entirely to celestial radiating forces.(5) Reception and dispersion are kept up by atomic and interatomic conflict between the dominant and enharmonic currents of the triune polar stream. The harmonic and enharmonic current with the dominant (in the electric stream) by their sympathetic association evolve the energy of matter.

The mechanical proof of the correctness of my theories, in sympathetic or spiritual physics, is so overwhelming in its simplicity that it needs but to be witnessed to convince the most learned or the most simple mind that this system will place both science and commerce on a platform which will elevate each to a level far higher than those they now occupy." [The Operation of the Vibratory Circuit]

"''I have already shown, to a certain point, the power of this radiation, by breaking a rope that had a resisting strain of over two tons, which was attached to the periphery of a steel disk, twelve inches in **diameter**, moving at the slow rate of one revolution in two minutes, its molecular structure vitalized with 42,800 vibrations per second. There was no retardation while breaking the rope, and no acceleration when it was broken. This experiment has been repeated scores of times, before scores of visitors.’' ELECTROMAGNETIC RADIATION - Snell

The individual molecules constantly oscillate through one third the molecular **diameter**, with a frequency of 20,000 per second. The range of oscillation inducted molecular substances by the same initial vibration differs in degree, which can be measured in substances and metals and expressed mathematically. This was actually so done in certain substances and metals by Keely, who called this mathematical ratio of frequency transmission the "coincident of transmission." [Snell Manuscript - the book, MOLECULAR AGGREGATES]

**James Clerk Maxwell**

"9 coefficients determine the relationship between flux and intensity

6 of these coefficients form 3 pairs of equal quantities

3 pairs of equal coefficients will self-conjugate." [James Clerk Maxwell]

The original quote from "https://svpwiki.com/pdffiles/A_Treatise_on_Electricity_and_Magnetism.pdf - vol. I".

"The case in which the components of the flux are linear functions of those of the force is discussed in the chapter on the Equations of Conduction, Art. 296. There are in general nine coefficients which determine the relation between the force and the flux. In certain cases we have reason to believe that six of these coefficients form three pairs of equal quantities. In such cases the relation between the line of direction of the force and the normal plane of the flux is of the same kind as that between a **diameter** of an ellipsoid and its conjugate diametral plane. In Quaternion language, the one vector is said to be a linear and vector function of the other, and when there are three pairs of equal coefficients the function is said to be self-conjugate." [James Clerk Maxwell, A Treatise on Electricity and Magnetism - vol. I]

See Also

**15.05 - Relative Diameters in Dissociation**
**Ellipse**
**internal diameter**
**Oblate**
**Prolate**
**Propositions Demonstrating the Relative Properties of Straight and Curved Lines**
**Quantum Arithmetic Elements**
**radius**
**Sphere**