Elements of Natural Philosophy, Part 1 |
From inside the book
Results 1-5 of 43
Page 10
... axes - each component acceleration being found by the same rule as component velocities , that is , by multiplying by the cosine of the angle between the direction of the acceleration and the line along which it is to be resolved . 38 ...
... axes - each component acceleration being found by the same rule as component velocities , that is , by multiplying by the cosine of the angle between the direction of the acceleration and the line along which it is to be resolved . 38 ...
Page 11
... axes is proportional to its dis- tance from that axis , the path is an ellipse or hyperbola whose principal diameters coincide with those axes ; and the acceleration is directed to or from the centre of the curve at every instant ...
... axes is proportional to its dis- tance from that axis , the path is an ellipse or hyperbola whose principal diameters coincide with those axes ; and the acceleration is directed to or from the centre of the curve at every instant ...
Page 25
... axes , and describing , by the radius - vector from the centre , equal areas in equal times . 83. Returning to the composition of any number of equal simple harmonic motions in lines in all directions and of all phases : each component ...
... axes , and describing , by the radius - vector from the centre , equal areas in equal times . 83. Returning to the composition of any number of equal simple harmonic motions in lines in all directions and of all phases : each component ...
Page 26
... axes , and in which equal areas are described by the radius - vector from the centre in equal times . Hence the proposition of § 80 . 84. We must next take the case of the composition of simple harmonic motions of different kinds and in ...
... axes , and in which equal areas are described by the radius - vector from the centre in equal times . Hence the proposition of § 80 . 84. We must next take the case of the composition of simple harmonic motions of different kinds and in ...
Page 31
... axes , it finally takes a position to which it could have been brought by a simple translation perpendicular to the lines of the body in its initial or final position , which were successively made axes of rotation ; and inclined to ...
... axes , it finally takes a position to which it could have been brought by a simple translation perpendicular to the lines of the body in its initial or final position , which were successively made axes of rotation ; and inclined to ...
Other editions - View all
Common terms and phrases
acceleration action amount angular velocity anticlastic attraction axis called Cambridge centre of gravity centre of inertia circle circular co-ordinates component configuration consider constant cosine couple curvature curve cylinder denote density described diagram displacement distance ellipsoid elongation equal equations equilibrium external finite fixed point flexure fluid forces acting friction geometrical given force Hence hodograph horizontal infinitely small instant inversely kinetic energy length magnitude mass matter measured moment of inertia momentum moving normal section Octavo P. G. TAIT P₁ P₂ parallel particle path pendulum perpendicular plane perpendicular portion position potential pressure principal axes principle produce projection proportional quantity radius radius of gyration reckoned rectangular resultant right angles rigid body rotation round shear shell sides simple harmonic motion solid angle space spherical surface spiral square straight line strain stress suppose tangent theorem theory tion torsion uniform unit vertical whole wire
Popular passages
Page 5 - Mathematical and Physical Papers. By Sir W. THOMSON, LL.D., DCL, FRS, Professor of Natural Philosophy, in the University of Glasgow. Collected from different Scientific Periodicals from May, 1841, to the present time.
Page 9 - M, Minucii Felicis Octavius. The text newly revised from the original MS. with an English Commentary, Analysis, Introduction, and Copious Indices. Edited by HA HOLDEN, LL.D. Head Master of Ipswich School, late Fellow of Trinity College, Cambridge. Crown Octavo, fs.
Page 9 - The Gospel according to St Matthew in Anglo-Saxon and Northumbrian Versions, synoptically arranged : with Collations of the best Manuscripts. By JM KEMBLE, MA and Archdeacon HARDWICK.
Page 8 - An Analysis of the Exposition of the Creed, written by the Right Rev. Father in God, JOHN PEARSON, DD, late Lord Bishop of Chester. Compiled for the use of the Students of Bishop's College, Calcutta, by WH MILL, DD late Regius Professor of Hebrew in the University of Cambridge.
Page 9 - Morgan's Investigation of the Trinity of Plato, and of Philo Judaeus, and of the effects which an attachment to their writings had upon the principles and reasonings of the Fathers of the Christian Church.
Page 8 - Wheatly on the Common Prayer, edited by GE CORRIE, DD Master of Jesus College, Examining Chaplain to the late Lord Bishop of Ely. Demy Octavo. 7*. dd. The Homilies, with Various Readings, and the Quotations from the Fathers given at length in the Original Languages.
Page 6 - A Catalogue of the Collection of Cambrian and Silurian Fossils contained in the Geological Museum of the University of Cambridge, by JW SALTER, FGS With a Preface by the Rev.
Page 8 - THEOLOGY— (ENGLISH). Works of Isaac Barrow, compared with the original MSS., enlarged with Materials hitherto unpublished. A new Edition, by A. NAPIER, MA of Trinity College, Vicar of Holkham, Norfolk.
Page 8 - The Homilies, with Various Readings, and the Quotations from the Fathers given at length in the Original Languages. Edited by GE CORRIE, DD Master of Jesus College. Demy Octavo.
Page 65 - Every body continues in its state of rest or of uniform motion in a straight line, except in so far as it is compelled by force to change that state.