Unity of Purpose, Or Rational Analysis: Being a Treatise Designed to Disclose Physical Truths, and to Detect and Expose Popular Errors
S.N. Dickinson & Company, 1846 - 292 pages
"The object of this work as declared in the title page, is to elicit inquiry into, or reexamination of certain matters which the world at large now receive implicitly, at the hands of others, as scientific truths; but which, perhaps, upon a more rigid and scrupulous examination, divested of a too easy faith in matters purely scientific, may be found to be but popular errors, which should be eradicated for the benefit of physical science; and should the fact be disclosed that many matters which are now almost universally esteemed sublime scientific truths, are but dark and occult errors, the inquiry will naturally suggest itself, whether it may not have been found necessary to clothe them in a mathematical dress so wholly incomprehensible to the mass of mankind, as to make it a hopeless task from want of leisure and other facilities, to investigate the truth or falsehood promulgated by the learned through the medium of what is so triumphantly termed the higher branches of mathematics; and hence, whether mankind in general, have not been compelled to remain ignorant of those supposed physical truths, except by a confidential faith in those who profess to teach those things. And should my labors in anywise serve to induce the learned to stoop a little more to the necessities of the multitude, who lack leisure and opportunity to acquaint themselves with all the modern devices of mathematical science, my object will be fully accomplished"--Introduction. (PsycINFO Database Record (c) 2009 APA, all rights reserved)
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according allegation amount amount of force appear applied assumed astronomy attempt attraction become called cause centre circle circumference coincide commence conceive conclusion consequently consideration considered cube deflection denoted described determination diameter direction earth eccentric elements ellipse equal equation error expended fact falling bodies farther figure force of gravity give given space half half the sides hence hypothesis increase intensity inversely law of falling law of gravity less light matter mean distance mean motion measures method moon motion namely nature Nevertheless Newtonian numbers observations operation orbit passed perhaps period phenomena physical planet poles polygon popular prime principle produced progression proper proportion quantities ratio reason reciprocal respect result revolving says Sir Isaac Newton square root star supposed surface theory third tides tion true truth twice the sides unit unity varies whole whole amount
Page 218 - The squares of the periods of revolution of any two planets are proportional to the cubes of their mean distances from the sun.
Page 267 - I then endeavoured to find out the cause of them. I was already convinced, that the apparent motion of the stars was not owing to a nutation of the earth's axis. The next thing that offered itself was an alteration in the direction of the plumb-line with which the instrument was constantly rectified...
Page 267 - At last I conjectured that all the phenomena, hitherto mentioned, proceeded from the progressive motion of light and the earth's annual motion in its orbit. For I perceived that, if light was propagated in time, the apparent place of a fixed object would not be the same when the eye is at rest, as when it is moving in any other direction than that of the line passing through the eye and object; and that when the eye is moving in different directions, the apparent place...
Page 26 - And I looked, and there was none to help; And I wondered that there was none to uphold : Therefore mine own arm brought salvation unto me; And my fury, it upheld me.
Page 248 - XIT. 22 we have said with respect to the moon's influence in disturbing the level of the ocean, may be applied also to that of the sun; only, in the case of the sun, although its absolute action is about double that of the moon, yet, on account of its very great distance...
Page 265 - December, to the same situation it was in at that time twelve months, allowing for the difference of declination on account of the precession of the equinox. " This was a sufficient proof that...
Page 181 - D'Alembert, was the Precession of the equinoxes and the Nutation of the earth's axis, according to the theory of gravitation.
Page 269 - For I perceived that, if Light was propagated in Time, the apparent Place of a fixed Object would not be the same when ' the Eye is at Rest, as when it is moving in any other Direction, than that of the Line passing through the Eye and the Object ; and that, when the Eye is moving in different Directions, the apparent Place of the Object would be different.
Page 131 - I am verily a man which am a Jew, born in Tarsus, a city in Cilicia, yet brought up in this city at the feet of Gamaliel, and taught according to the perfect manner of the law of the fathers, and was zealous toward God, as ye all are this day.
Page 265 - This was a sufficient Proof, that the Instrument had not been the Cause of this apparent Motion of the Star, and to find one adequate to such an Effect seemed a Difficulty. A Nutation of the Earth's Axis was one of the first things that offered itself upon this Occasion, but it was soon found to be insufficient; for though it might have accounted for the change of Declination in...