Treatise on Natural Philosophy, Volume 1At the University Press, 1888 - Mechanics, Analytic |
From inside the book
Results 1-5 of 60
Page ix
... Determination of the Motion from given Velocity or Ac- celeration 33-35 Acceleration directed to a Fixed Centre 36 • Hodograph 37-39 • Curves of Pursuit 40 Angular Velocity and Acceleration 41-44 Relative Motion 45-49 Resultant Motion ...
... Determination of the Motion from given Velocity or Ac- celeration 33-35 Acceleration directed to a Fixed Centre 36 • Hodograph 37-39 • Curves of Pursuit 40 Angular Velocity and Acceleration 41-44 Relative Motion 45-49 Resultant Motion ...
Page 14
... determination of the correct expression for the whole velocity in terms of its com- ponents . If we resolve the velocity along a line whose inclinations to the axes are λ , μ , v , and which makes an angle with the di- rection of motion ...
... determination of the correct expression for the whole velocity in terms of its com- ponents . If we resolve the velocity along a line whose inclinations to the axes are λ , μ , v , and which makes an angle with the di- rection of motion ...
Page 19
... determination of the form of the path described , and of other circumstances of the motion , is a question of pure ... determine x , y , and z in terms of t . By eliminating t among these equations , we obtain two equations among x , y ...
... determination of the form of the path described , and of other circumstances of the motion , is a question of pure ... determine x , y , and z in terms of t . By eliminating t among these equations , we obtain two equations among x , y ...
Page 20
... R * See § 31 . accelera- b . With uniform acceleration in the direction of 20 [ 33 . PRELIMINARY . Resolution and Composition of Accelerations 30-33 Determination of the Motion from given Velocity or celeration 33-35.
... R * See § 31 . accelera- b . With uniform acceleration in the direction of 20 [ 33 . PRELIMINARY . Resolution and Composition of Accelerations 30-33 Determination of the Motion from given Velocity or celeration 33-35.
Page 35
... determine the path described and the time of crossing . Here , as in the former problem , there are three cases , figured below . In the first , the boat , moving faster than the current , reaches the desired point ; in the second , the ...
... determine the path described and the time of crossing . Here , as in the former problem , there are three cases , figured below . In the first , the boat , moving faster than the current , reaches the desired point ; in the second , the ...
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.