A Treatise on Dynamics of a Particle: With Numerous ExamplesMacmillan, 1882 - 411 sider |
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Side 79
... vertex upwards , and shew that its length is equal to that of the latus rectum . ( 6 ) Find the straight line of quickest descent from the focus of a parabola to the curve when the axis is horizontal . ( 7 ) The locus of all points in ...
... vertex upwards , and shew that its length is equal to that of the latus rectum . ( 6 ) Find the straight line of quickest descent from the focus of a parabola to the curve when the axis is horizontal . ( 7 ) The locus of all points in ...
Side 80
... vertex downwards , and from different points in it a number of particles are let fall at the same instant , each moving down the tangent at the point from which it sets out ; prove that they will reach the involute ( which passes ...
... vertex downwards , and from different points in it a number of particles are let fall at the same instant , each moving down the tangent at the point from which it sets out ; prove that they will reach the involute ( which passes ...
Side 87
... vertex upwards . 108. Equation ( 3 ) may be written 2V2 sin a cos a 2 V2 cos2 a x2 x = y , 9 9 V2 sin a cos 2 2 V2 cos2 a or == g g ( y- V'sin ' ) . 2g By comparing this with the equation of a parabola re- ferred to its vertex as origin ...
... vertex upwards . 108. Equation ( 3 ) may be written 2V2 sin a cos a 2 V2 cos2 a x2 x = y , 9 9 V2 sin a cos 2 2 V2 cos2 a or == g g ( y- V'sin ' ) . 2g By comparing this with the equation of a parabola re- ferred to its vertex as origin ...
Side 90
... This represents a parabola , whose axis is vertical , whose focus is the point of projection , and whose vertex is in the common directrix of the trajectories . It will easily be seen from what has gone before 90 PARABOLIC MOTION .
... This represents a parabola , whose axis is vertical , whose focus is the point of projection , and whose vertex is in the common directrix of the trajectories . It will easily be seen from what has gone before 90 PARABOLIC MOTION .
Side 91
... vertex . The distance of the origin from the directrix , being th of the coefficient of y , is V2 2g velocity due to a fall through that height is as before 2g √ ( 20. 5 ) = V . and the 115. Many properties of parabolic motion are more ...
... vertex . The distance of the origin from the directrix , being th of the coefficient of y , is V2 2g velocity due to a fall through that height is as before 2g √ ( 20. 5 ) = V . and the 115. Many properties of parabolic motion are more ...
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A Treatise on Dynamics of a Particle: With Numerous Examples Peter Guthrie Tait,William John Steele Uten tilgangsbegrensning - 1882 |
A Treatise on the Dynamics of a Particle: With Numerous Examples Peter Guthrie Tait,William John Steele Uten tilgangsbegrensning - 1882 |
A Treatise on Dynamics of a Particle: With Numerous Examples Peter Guthrie Tait,William John Steele Uten tilgangsbegrensning - 1882 |
Vanlige uttrykk og setninger
acceleration apse apse line attraction varying axis brachistochrone central attraction central orbit centre of attraction circle circular co-ordinates constant angular velocity cos² Crown 8vo curvature curve cycloid d²x described determine the motion differential equation direction of motion direction of projection dt dt dt² dx dy dy dt Edition elastic ellipse equal equations of motion excentricity Fcap fixed point focus given point gravity Hence hodograph horizontal plane hyperbola inclined initial integral latus rectum law of attraction length logarithmic spiral mass medium oscillation osculating plane parabola parallel particle is projected particle moves pendulum perpendicular point of projection position Professor proportional prove radius vector resistance resolved result shew sin² smooth straight line string suppose surface tangent tion tube V₁ vertex vertical
Populære avsnitt
Side 32 - ARISTOTLE— AN INTRODUCTION TO ARISTOTLE'S RHETORIC. With Analysis, Notes and Appendices. By EM COPE, Fellow and Tutor of Trinity College, Cambridge, 8vo.
Side 33 - W. ARCHER BUTLER, late Professor of Moral Philosophy in the University of Dublin. Edited from the Author's MSS., with Notes, by WILLIAM HEPWORTH THOMPSON, MA, Master of Trinity College, and Regius Professor of Greek in the University of Cambridge.
Side 28 - Flower (WH) AN INTRODUCTION TO THE OSTEOLOGY OF THE MAMMALIA. Being the Substance of the Course of Lectures delivered at the Royal College of Surgeons of England in 1870.
Side 19 - As a standard general text-book it deserves to take a leading place." — SPECTATOR. " We unhesitatingly pronounce it the best of all our elementary treatises on Chemistry.
Side 5 - FR-S., late Fellow and Assistant Tutor of St. Peter's College, Cambridge ; Examiner in the University of London.
Side 49 - Every body continues in its state of rest or of uniform motion in a straight line, except in so far as it may be compelled by impressed forces to change that state.
Side 4 - INTRODUCTION TO QUATERNIONS, with numerous examples. By P. KELLAND, MA, FRS ; and PG TAIT, MA, Professors in the department of Mathematics in the University of Edinburgh. Crown 8vo.
Side 11 - GRAY— STRUCTURAL BOTANY, OR ORGANOGRAPHY ON THE BASIS OF MORPHOLOGY. To which are added the principles of Taxonomy and Phytography, and a Glossary of Botanical Terms.
Side 3 - Works by the Rev. NM FERRERS, MA, Fellow and Tutor of Gonville and Caius College, Cambridge. AN ELEMENTARY TREATISE ON TRILINEAR ' CO-ORDINATES, the Method of Reciprocal Polars, and the Theory of Projectors.
Side 108 - ... that the ratio of the sines of the angles of incidence and refraction is constant for refraction in the same medium, was effected by Snell and Descartes.