A History of the Mathematical Theories of Attraction and the Figure of the Earth From the Time of Newton to That of Laplace


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A History of the Mathematical Theories of Attraction and the Figure of the Earth from the Time of Newton to That of Laplace by I Todhunter


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Unlike some other reproductions of classic texts (1) We have not used OCR(Optical Character Recognition), as this leads to bad quality books with introduced typos. (2) In books where there are images such as portraits, maps, sketches etc We have endeavoured to keep the quality of these images, so they represent accurately the original artefact. Although occasionally there may be certain imperfections with these old texts, we feel they deserve to be made available for future generations to enjoy.




The Principia


Book Description

In his monumental 1687 work Philosophiae Naturalis Principia Mathematica, known familiarly as the Principia, Isaac Newton laid out in mathematical terms the principles of time, force, and motion that have guided the development of modern physical science. Even after more than three centuries and the revolutions of Einsteinian relativity and quantum mechanics, Newtonian physics continues to account for many of the phenomena of the observed world, and Newtonian celestial dynamics is used to determine the orbits of our space vehicles. This completely new translation, the first in 270 years, is based on the third (1726) edition, the final revised version approved by Newton; it includes extracts from the earlier editions, corrects errors found in earlier versions, and replaces archaic English with contemporary prose and up-to-date mathematical forms. Newton's principles describe acceleration, deceleration, and inertial movement; fluid dynamics; and the motions of the earth, moon, planets, and comets. A great work in itself, the Principia also revolutionized the methods of scientific investigation. It set forth the fundamental three laws of motion and the law of universal gravity, the physical principles that account for the Copernican system of the world as emended by Kepler, thus effectively ending controversy concerning the Copernican planetary system. The illuminating Guide to the Principia by I. Bernard Cohen, along with his and Anne Whitman's translation, will make this preeminent work truly accessible for today's scientists, scholars, and students.




The Principia: The Authoritative Translation and Guide


Book Description

In his monumental 1687 work, Philosophiae Naturalis Principia Mathematica, known familiarly as the Principia, Isaac Newton laid out in mathematical terms the principles of time, force, and motion that have guided the development of modern physical science. Even after more than three centuries and the revolutions of Einsteinian relativity and quantum mechanics, Newtonian physics continues to account for many of the phenomena of the observed world, and Newtonian celestial dynamics is used to determine the orbits of our space vehicles. This authoritative, modern translation by I. Bernard Cohen and Anne Whitman, the first in more than 285 years, is based on the 1726 edition, the final revised version approved by Newton; it includes extracts from the earlier editions, corrects errors found in earlier versions, and replaces archaic English with contemporary prose and up-to-date mathematical forms. Newton's principles describe acceleration, deceleration, and inertial movement; fluid dynamics; and the motions of the earth, moon, planets, and comets. A great work in itself, the Principia also revolutionized the methods of scientific investigation. It set forth the fundamental three laws of motion and the law of universal gravity, the physical principles that account for the Copernican system of the world as emended by Kepler, thus effectively ending controversy concerning the Copernican planetary system. The illuminating Guide to Newton's Principia by I. Bernard Cohen makes this preeminent work truly accessible for today's scientists, scholars, and students.







The Quest for the True Figure of the Earth


Book Description

In the 1730s two expeditions set out from Paris on extraordinary journeys; the first was destined for the equatorial region of Peru, the second headed north towards the Arctic Circle. Although the eighteenth century witnessed numerous such adventures, these expeditions were different. Rather than seeking new lands to conquer or mineral wealth to exploit, their primary objectives were scientific: to determine the Earth's precise shape by measuring the variation of a degree of latitude at points separated as nearly as possible by a whole quadrant of the globe between Equator and North Pole. Although such information had consequences for navigation and cartography, the motivation was not simply utilitarian. Rather it was one theme among many in an intellectual revolution in which advances in mathematics paralleled philosophical strife, and reputations of the living and the dead stood to be elevated or destroyed. In particular the two expeditions hoped to prove the correctness of Isaac Newton's prediction that the Earth is not a perfect sphere, but flattened at the poles. In this study, the 'Figure of the Earth' controversy is for the first time comprehensively explored in all its several dimensions. It shows how a largely neglected episode of European science, that produced no spectacular process or artefact - beyond a relatively minor improvement in maps - nevertheless represents an almost unique combination of theoretical prediction and empirical method. It also details the suffering of the two teams of scientists in very different extremes of climate, whose sacrifices for the sake of knowledge rather than colonial gain, caught the imagination of the literary world of the time.







Proceedings of the Philosophical Society of Glasgow


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Reprint of the original, first published in 1875. The publishing house Anatiposi publishes historical books as reprints. Due to their age, these books may have missing pages or inferior quality. Our aim is to preserve these books and make them available to the public so that they do not get lost.




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