Elementary Mechanics |
From inside the book
Results 1-5 of 29
Page v
... true , all the known facts and the mathematical deductions dependent upon them which appertain to the respective subjects , but seldom offering the smallest relief to the barren- ness which is incidental to such compositions : in this ...
... true , all the known facts and the mathematical deductions dependent upon them which appertain to the respective subjects , but seldom offering the smallest relief to the barren- ness which is incidental to such compositions : in this ...
Page 12
... true for a certain pair of forces P and Q , and also for the pair of forces P and R ; we will shew that it must then be true for the pair P , and Q + R. Suppose A to be the point at which this pair is applied , P acting in the direction ...
... true for a certain pair of forces P and Q , and also for the pair of forces P and R ; we will shew that it must then be true for the pair P , and Q + R. Suppose A to be the point at which this pair is applied , P acting in the direction ...
Page 14
... true for P and Q + R. But the proposition has been seen to be true for any pair of equal forces as p and p : and also for a second pair p and p , and therefore by the preceding for p and 2p : again , since it is true for p and P , and ...
... true for P and Q + R. But the proposition has been seen to be true for any pair of equal forces as p and p : and also for a second pair p and p , and therefore by the preceding for p and 2p : again , since it is true for p and P , and ...
Page 15
... true for incommensurable as well as for commensurable forces . The second step in our proof is to shew that the proposition is true as regards the magnitude of the resultant . As before , let AB , AC represent the two forces P and Q ...
... true for incommensurable as well as for commensurable forces . The second step in our proof is to shew that the proposition is true as regards the magnitude of the resultant . As before , let AB , AC represent the two forces P and Q ...
Page 17
... true of any number of forces acting at a point . It is evidently not necessary that the forces should lie in one plane . The converse of the polygon of forces cannot , as the triangle of forces , be affirmed ; for parallel - sided ...
... true of any number of forces acting at a point . It is evidently not necessary that the forces should lie in one plane . The converse of the polygon of forces cannot , as the triangle of forces , be affirmed ; for parallel - sided ...
Other editions - View all
Common terms and phrases
accelerating force action of gravity angle annexed figure applied axis beam bisects body Cambridge centre of gravity centripetal force circle cloth coefficient of friction couple Crown 8vo curve cycloid cylinder diagonal distance Edition English Notes equal and opposite equation equi extremity F. D. MAURICE Fellow of St force of gravity forces acting friction ft² fulcrum Greek Text hence horizontal plane inclined plane indefinitely small interval John's College late Fellow Law of Motion length lever M.A. Fellow meet middle point moving P₁ parabola parallelogram of forces pass perpendicular point of application position of equilibrium produced proportional pulley radius reaction represent respectively rest resultant sewed shew sides smooth space sphere Statics straight line string supposed surface tension Theological Manuals three forces Trinity College uniform unit virtual velocities W₁ W₂ wheel
Popular passages
Page 6 - HERVEY.— The Genealogies of our Lord and Saviour Jesus Christ, as contained in the Gospels of St. Matthew and St. Luke, reconciled with each other and with the Genealogy of the House of David, from Adam to the close of the Canon of the Old Testament, and shown to be in harmony with the true Chronology of the Times.
Page 5 - 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.
Page 8 - M'COY.— Contributions to British Palaeontology; or, First Descriptions of several hundred Fossil Radiata, Articulata, Mollusca, and Pisces, from the Tertiary, Cretaceous, Oolitic, and Palaeozoic Strata of Great Britain. With numerous Woodcuts. 8vo. cloth, 9s. *#* This forms a complete Series of the Author's Papers from the
Page 8 - FREDERICK M°CoY, FGS, Hon. FCPS, Professor of the Natural Sciences in the University of Melbourne ; formerly Professor of Geology and Mineralogy in the Queen's University in Ireland; author of "Characters of the Carboniferous Limestone Fossils of Ireland ;" " Synopsis of the Silurian Fossils of Ireland ;" " Contributions to British Palaeontology,
Page 3 - Demosthenes de Corona. The Greek Text, with English Notes. By BERNARD DRAKE, MA Fellow of King's Coll.
Page 4 - Law," in which a comparison is occasionally made between the Roman Laws and those of England, by Samuel Hallifax, late Lord Bishop of St.
Page 4 - FROST.— The First Three Sections of Newton's Principia. With Notes and Problems in illustration of the subject. By PERCIVAL FROST, MA late Fellow of St. John's College, Cambridge, and Mathematical Lecturer of Jesus College. Crown 8vo. cloth, 10s.