An Elementary Treatise on the Lunar Theory: With a Brief Sketch of the History of the Problem Up to the Time of NewtonMacmillan, 1853 - 103 sider |
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Side v
... contains some of the most interesting results in the terms of the higher orders , among which will be found the ... containing an account of the discoveries of the several inequalities and of the methods by which they were represented ...
... contains some of the most interesting results in the terms of the higher orders , among which will be found the ... containing an account of the discoveries of the several inequalities and of the methods by which they were represented ...
Side 23
... contain a new variable ' , but we shall find means to establish a con- nexion between t , 0 , and e ' which will ... containing m ' , which are clearly the disturbing forces since they depend upon the sun , are involved in the form while ...
... contain a new variable ' , but we shall find means to establish a con- nexion between t , 0 , and e ' which will ... containing m ' , which are clearly the disturbing forces since they depend upon the sun , are involved in the form while ...
Side 27
... , i.e. those terms which contain m ' , for we have seen , Art . ( 24 ) , that such terms will be of the second order . The differential equations may be written under the more convenient Terms of a higher order which must be retained.
... , i.e. those terms which contain m ' , for we have seen , Art . ( 24 ) , that such terms will be of the second order . The differential equations may be written under the more convenient Terms of a higher order which must be retained.
Side 30
... contains periodical terms which go through all their changes positive and negative as the variable increases continuously , the mean value of the function is the part which is independent of the periodical terms . † We shall also employ ...
... contains periodical terms which go through all their changes positive and negative as the variable increases continuously , the mean value of the function is the part which is independent of the periodical terms . † We shall also employ ...
Side 44
... contained this term , introduced by de 1 hu 29 to the third order , and in t it would have been raised to the second order , and therefore formed an important part of its value instead of disappearing altogether from the expression ...
... contained this term , introduced by de 1 hu 29 to the third order , and in t it would have been raised to the second order , and therefore formed an important part of its value instead of disappearing altogether from the expression ...
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An Elementary Treatise on the Lunar Theory: With a Brief Sketch of the ... Hugh Godfray Uten tilgangsbegrensning - 1859 |
An Elementary Treatise on the Lunar Theory: With a Brief Sketch of the ... Hugh Godfray Uten tilgangsbegrensning - 1859 |
An Elementary Treatise on the Lunar Theory: With a Brief Sketch of the ... Hugh Godfray Uten tilgangsbegrensning - 1859 |
Vanlige uttrykk og setninger
2e sin cpt 3m²e angle angular velocity annual equation anomaly apogee apse line astronomers attraction bodies calculated Cambridge central disturbing force centre cloth coefficient College considered correction cos(c Crown 8vo determine differential equation discovery distance E-Ma E+Ma earth eccentric ecliptic Edition effect elliptic inequality epicycle equal Euclid's Elements evection expression fourth order h²u³ Hence higher order Hipparchus hu³ hypothesis inclination introduced latitude Lunar Theory mean angular mean motion mean place mean value moon moon moves moon's longitude moon's motion moon's orbit nearly neglected Newton node numerous observation obtained octants order of approximation parallax perigee periodical terms position Ptolemy Ptolemy's quadrature quantity radius vector revolution second order shew sidereal month sin(g sin2 solution Substituting suppose supposition syzygy third order true anomaly true longitude U₁ variation že² ᏧᎾ
Populære avsnitt
Side 9 - Prize Essay for 1877. 8vo. 8.r. 6V. SMITH— Works by the Rev. BARNARD SMITH, MA, Rector of Glaston, Rutland, late Fellow and Senior Bursar of St. Peter's College, Cambridge. ARITHMETIC AND ALGEBRA, in their Principles and Application ; with numerous systematically arranged Examples taken from the Cambridge Examination Papers, with especial reference to the Ordinary Examination for the BA Degree.
Side 14 - AN ELEMENTARY TREATISE ON THE LUNAR THEORY, with a Brief Sketch of the Problem up to the time of Newton. Second Edition, revised. Crown 8vo. cloth. 5*. 6d. Hemming. — AN ELEMENTARY TREATISE ON THE DIFFERENTIAL AND INTEGRAL CALCULUS, for the Use; of Colleges and Schools.
Side 5 - SIMPSON.— An Epitome of the History of the Christian Church during the first Three Centuries and during the Time of the Reformation, adapted for the use of Students in the Universities and in Schools.
Side 12 - WILSON (WP)— A TREATISE ON DYNAMICS. By WP WILSON, MA, Fellow of St. John's College, Cambridge, and Professor of Mathematics in Queen's College, Belfast. 8vo.
Side 6 - The Child's Grammar. Being the substance of the above, with Examples for Practice. Adapted for Junior Classes. A New Edition. 18mo. limp cloth, Is.
Side 2 - Archer).— Works by the Rev. WILLIAM ARCHER BUTLER, MA, late Professor of Moral Philosophy in the University of Dublin : SERMONS, DOCTRINAL AND PRACTICAL. Edited, with a Memoir of the Author's Life, by THOMAS WOODWARD, Dean of Down.
Side 12 - HEMMING— AN ELEMENTARY TREATISE ON THE DIFFERENTIAL AND INTEGRAL CALCULUS, for the Use of Colleges and Schools. By GW HEMMING, MA, Fellow of St. John's College, Cambridge. Second Edition, with Corrections and Additions. 8vo.
Side 8 - TODHUNTER.— A Treatise on the Differential Calculus ; and the Elements of the Integral Calculus. With numerous Examples. By I. TODHUNTER, MA, Fellow and Tutor of St. John's College, Cambridge. Second Edition. Crown 8vo. cloth, 10».