Treatise on Natural Philosophy, Volume 1At the University Press, 1888 - Mechanics, Analytic |
From inside the book
Results 1-5 of 47
Page 9
... proportional between the curvature of the circular section of the cylinder and the finite curvature of the curve . The acceleration ( or force ) required to produce such a motion of a point ( or material particle ) will be afterwards ...
... proportional between the curvature of the circular section of the cylinder and the finite curvature of the curve . The acceleration ( or force ) required to produce such a motion of a point ( or material particle ) will be afterwards ...
Page 18
... proportional to the square of the velocity and also to the curvature of the path . The former of these changes the velocity , the other affects only the form of the path , or the direction of motion . Hence if a moving point be subject ...
... proportional to the square of the velocity and also to the curvature of the path . The former of these changes the velocity , the other affects only the form of the path , or the direction of motion . Hence if a moving point be subject ...
Page 20
... proportional to its distance 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 origin at every instant . dy dt = VIC . dx - му , dt ...
... proportional to its distance 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 origin at every instant . dy dt = VIC . dx - му , dt ...
Page 21
... proportional to the squares of the times tion . elapsed since the commencement of the motion . In this case the space described in any interval is that which would be described in the same time by a point moving uniformly with a ...
... proportional to the squares of the times tion . elapsed since the commencement of the motion . In this case the space described in any interval is that which would be described in the same time by a point moving uniformly with a ...
Page 23
... proportional to the distance from it , the path is a plane curve , which is the harmonic curve if the acceleration be towards the plane , and a more or less fore - shortened catenary ( § 580 ) if from the plane . As in case c , d2z dt2 ...
... proportional to the distance from it , the path is a plane curve , which is the harmonic curve if the acceleration be towards the plane , and a more or less fore - shortened catenary ( § 580 ) if from the plane . As in case c , d2z dt2 ...
Contents
1 | |
78 | |
94 | |
102 | |
108 | |
114 | |
119 | |
125 | |
251 | |
264 | |
271 | |
282 | |
318 | |
338 | |
340 | |
354 | |
128 | |
136 | |
148 | |
154 | |
160 | |
167 | |
217 | |
227 | |
233 | |
250 | |
361 | |
366 | |
384 | |
426 | |
440 | |
457 | |
479 | |
493 | |
500 | |
Other editions - View all
Common terms and phrases
action altered angular velocity anticlastic B₁ Cambridge centre of inertia change of direction circle co-ordinates coefficients component condition configuration constant corresponding curvature curve cycloidal cylinder degrees of freedom Demy 8vo denote diagram differential equation direction cosines distance dt dt dx dy dx² dy dy dy dz edition ellipse ellipsoid elongation equal equations of motion equilibrium expression finite fixed fluid force function geodetic geometrical given gyrostatic Hence infinitely small initial integral kinetic energy length moving P₁ parallel parallelepiped particle perpendicular polygon position principal axes quadratic function quantity radius ratio rectangular right angles rigid body rolling roots rotation round shear simple harmonic simple harmonic motions simple shear solution spherical harmonic spherical surface strain suppose synclastic tangent plane theorem tion twist values Y₁ αξ λ² аф
Popular passages
Page 6 - The Pointed Prayer Book, being the Book of Common Prayer with the Psalter or Psalms of David, pointed as they are to be sung or said in Churches.
Page 39 - The work before us leaves nothing to be desired. It is of convenient form and reasonable price, accurately printed, and accompanied by notes which are admirable. There is no teacher too young to find this book interesting; there is no teacher too old to find it profitable.
Page 17 - The Analytical Theory of Heat. By JOSEPH FOURIER. Translated, with Notes, by A. FREEMAN, MA, Fellow of St John's College, Cambridge. Demy 8vo.
Page 6 - 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 15 - MT Ciceronis de Natura Deorum Libri Tres, with Introduction and Commentary by JOSEPH B. MAYOR, MA, Professor of Moral Philosophy at King's College, London, together with a new collation of several of the English MSS.
Page 8 - Sayings of the Jewish Fathers, comprising Pirqe Aboth and Pereq R. Meir in Hebrew and English, with Critical and Illustrative Notes ; and specimen pages of the Cambridge University Manuscript of the Mishnah 'Jerushalmith'.
Page 241 - 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.
Page 35 - Edited with a Map and Notes Historical and Philological, and a Vocabulary, by Rev. AC CLAPIN, MA, St John's College, Cambridge.
Page 9 - 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. Nine Vols. Demy Octavo. £3. y. Treatise of the Pope's Supremacy, and a Discourse concerning the Unity of the Church, by ISAAC BARROW.