An Elementary Treatise on the Lunar Theory: With a Brief Sketch of the History of the Problem Up to the Time of Newton |
From inside the book
Results 1-5 of 26
Page ix
... Centre of Gravity of Earth and Moon , Ecliptic 17 Errors in the Sun's assumed place • CHAPTER III . DIFFERENTIAL EQUATIONS . Page . 1 • 3 5 9 13 14 16 · 19 19 Formation of the Differential Equations 22 Orders of the Small Quantities ...
... Centre of Gravity of Earth and Moon , Ecliptic 17 Errors in the Sun's assumed place • CHAPTER III . DIFFERENTIAL EQUATIONS . Page . 1 • 3 5 9 13 14 16 · 19 19 Formation of the Differential Equations 22 Orders of the Small Quantities ...
Page 5
... centre of a uniform attract- ing sphere whose density is p and radius OA = c . a > c , the particle being without the sphere . Let the whole sphere be divi- ded into circular laminæ by planes perpendicular to OP . Let SQ be P one of ...
... centre of a uniform attract- ing sphere whose density is p and radius OA = c . a > c , the particle being without the sphere . Let the whole sphere be divi- ded into circular laminæ by planes perpendicular to OP . Let SQ be P one of ...
Page 7
... centre , provided the density be the same at all points equally distant from the centre , for then the whole sphere may be considered as the aggregate of an infinite number of uniform shells , and by Cor . 1 , each acts as if condensed ...
... centre , provided the density be the same at all points equally distant from the centre , for then the whole sphere may be considered as the aggregate of an infinite number of uniform shells , and by Cor . 1 , each acts as if condensed ...
Page 13
... centre of the earth , which , by means of the process described in Art . ( 9 ) , is reduced to and kept at rest , we must have some determinate invariable plane passing through the earth's centre to which the motion may be referred ...
... centre of the earth , which , by means of the process described in Art . ( 9 ) , is reduced to and kept at rest , we must have some determinate invariable plane passing through the earth's centre to which the motion may be referred ...
Page 14
... centres of the sun , earth , and moon , G the centre of gravity of the last two . Now the motion . of G is the same as if the whole mass E + M were collected there and acted on by forces equal and parallel to the moving forces which act ...
... centres of the sun , earth , and moon , G the centre of gravity of the last two . Now the motion . of G is the same as if the whole mass E + M were collected there and acted on by forces equal and parallel to the moving forces which act ...
Other editions - View all
Common terms and phrases
3m²e accelerating forces Algebra angle angular velocity annual equation anomaly apogee apse line astronomers attraction bodies BROOKE FOSS WESTCOTT calculated Cambridge centre cloth coefficient considered correct cos2 Crown 8vo determined differential equations distance disturbing force E-Ma E+Ma earth eccentricity ecliptic ELEMENTARY TREATISE elliptic inequality epicycle equal evection expression Fcap fixed plane fourth order h²u³ higher order Hipparchus hu³ integration John's College Lunar Theory MACMILLAN AND CO'S Mathematical mean anomaly mean longitude mean motion mean value method moon moon's mean moon's motion moon's orbit nearly neglected Newton node numerous observations obtained order of approximation parallax particle perigee periodical terms position Ps-S Ptolemy quadrature quantity radius vector revolution Schools Second Edition second order shew sidereal month sin2 solution sphere student substituted syzygy third order true anomaly true longitude Tycho variation že²
Popular passages
Page 10 - MORGAN — A COLLECTION OF PROBLEMS AND EXAMPLES IN MATHEMATICS. With Answers. By HA Morgan, MA, Sadlerian and Mathematical Lecturer of Jesus College, Cambridge.
Page 5 - THE SEVEN KINGS OF ROME. An Easy Narrative, abridged from the First Book of Livy by the omission of Difficult Passages; being a First Latin Reading Book, with Grammatical Notes and Vocabulary.
Page 9 - THE FIRST THREE SECTIONS of NEWTON'S PRINCIPIA. With Notes and Illustrations. Also a Collection of Problems, principally intended as Examples of Newton's Methods. By PERCIVAL FROST, MA, late Fellow of St. John's College, Mathematical Lecturer of King's College, Cambridge.
Page 22 - WILSON — THE BIBLE STUDENT'S GUIDE to the more Correct Understanding of the English Translation of the Old Testament, by reference to the original Hebrew. By WILLIAM WILSON, DD, Canon of Winchester, late Fellow of Queen's College, Oxford. Second Edition, carefully revised. 410. cloth. 25*. YONGE (CHARLOTTE M.)— SCRIPTURE READINGS FOR SCHOOLS AND FAMILIES. By CHARLOTTE M. YONGE, Author of "The Heir of Redclyffe.
Page 2 - CICERO— THE SECOND PHILIPPIC ORATION. From the German of Karl Halm. Edited, with Corrections and Additions, by JOHN EB MAYOR, Professor of Latin in the University of Cambridge, and Fellow of St.
Page 21 - A GENERAL SURVEY OF THE HISTORY OF THE CANON OF THE NEW TESTAMENT DURING THE fIRST FOUR CENTURIES. Fourth Edition. With Preface on "Supernatural Religion.
Page 19 - THE ELEMENTS OF GRAMMAR TAUGHT IN ENGLISH, With Questions. Fourth Edition. i8mo. 2s. THE CHILD'S GRAMMAR. Being the Substance of "The Elements of Grammar taught in English," adapted for the Use of Junior Classes.
Page 4 - Thucydides. — THE SICILIAN EXPEDITION. Being Books VI. and VII. of Thucydides, with Notes. A New Edition, revised and enlarged, with a Map. By the Rev. PERCIVAL FROST, MA. late Fellow of St. John's College, Cambridge. Fcap. 8vo.
Page 5 - HELLENICA; OR, A HISTORY OF GREECE IN GREEK, as related by Diodorus and Thucydides ; being a First Greek Reading Book, with explanatory Notes, Critical and Historical.
Page 20 - PROCTER— A HISTORY OF THE BOOK OF COMMON PRAYER, with a Rationale of its Offices. By FRANCIS PROCTER, MA Thirteenth Edition, revised and enlarged. Crown 8vo. loг. 6d. PROCTER AND MACLEAR— AN ELEMENTARY INTRODUCTION TO THE BOOK OF COMMON PRAYER.