Of Motion: An Elementary Treatise |
From inside the book
Results 1-5 of 13
Page 2
... expression for a velocity in terms of other units of space and time than those in terms of which it is already expressed . Thus , suppose we wish to obtain the measure of a velocity in terms of a new set of units of space and time , a ...
... expression for a velocity in terms of other units of space and time than those in terms of which it is already expressed . Thus , suppose we wish to obtain the measure of a velocity in terms of a new set of units of space and time , a ...
Page 6
... expression for the resulting velocity in magnitude and direction . This is called compounding the given velocities . For if in space of two dimensions , the velocities along Ox and Oy be given = v1 , v2 , respectively , we have OC2 ...
... expression for the resulting velocity in magnitude and direction . This is called compounding the given velocities . For if in space of two dimensions , the velocities along Ox and Oy be given = v1 , v2 , respectively , we have OC2 ...
Page 27
... expressed by As , where λ = the measure of the acceleration at distance unity . The direction of this is from the moving point to the fixed point ; therefore if we * Investigations of the results of the Articles in this Chapter ...
... expressed by As , where λ = the measure of the acceleration at distance unity . The direction of this is from the moving point to the fixed point ; therefore if we * Investigations of the results of the Articles in this Chapter ...
Page 42
... expression v2 = thus : multiplying the equation 2λ λ ጥ might have been obtained a d'u du + = do2 h3 by 2 de and integrating , we have ' du \ 2 2λ de + u2 = И - h2 C , or ( velocity ) = 2λ.u — h2 C ' ; .. if v1 , v , be the velocities ...
... expression v2 = thus : multiplying the equation 2λ λ ጥ might have been obtained a d'u du + = do2 h3 by 2 de and integrating , we have ' du \ 2 2λ de + u2 = И - h2 C , or ( velocity ) = 2λ.u — h2 C ' ; .. if v1 , v , be the velocities ...
Page 47
... expression ( which is v2 ρ = dv a , or v ds a ) is only concerned for the instant with changing the magnitude of the velocity without altering DETERMINATION OF THE TIME OF MOTION . 47 88 Time of motion 89 General case of motion 90.
... expression ( which is v2 ρ = dv a , or v ds a ) is only concerned for the instant with changing the magnitude of the velocity without altering DETERMINATION OF THE TIME OF MOTION . 47 88 Time of motion 89 General case of motion 90.
Other editions - View all
Common terms and phrases
accele acceleration produced axes axis balls center of force chord circle complete oscillation conic section constant acceleration cos² curve cycloid described determine the motion determined in Arts Differential Calculus direction of motion dt dt dt² earth's effect elastic ellipse equal equation fixed point focus force acting force of constraint force varying geometrical horizontal hyperbola impact impulse inclined plane inelastic initial direction initially at rest instant Ipswich School latus rectum Law of Motion length lowest point magnitude measure moving point NEWTON obtained Octavo orbit parabola parallelogram particle path perpendicular point of projection quantity of matter radius vector Second Edition Sermons shew sin² space passed straight line string supposed tangent tion Treatise Trinity College University of Cambridge v₁ versin vertex vis viva weight whence
Popular passages
Page 1 - The Greek Testament : with a critically revised Text ; a Digest of Various Readings ; Marginal References to Verbal and Idiomatic Usage ; Prolegomena ;"and a Critical and Exegetical Commentary. For the Use of Theological Students and Ministers. By HENRY ALFORD, DD, Dean of Canterbury. Vol. I., containing the Four Gospels.
Page 11 - Progressive Exercises in Greek Tragic Senarii, followed by a Selection from the Greek Verses of Shrewsbury School, and prefaced by a short Account of the Iambic Metre and Style of Greek Tragedy. For the use of Schools and Private Students. Second Edition, altered and revised. 8vo. 8*.
Page 12 - A Manual of the Roman Civil Law, arranged according to the Syllabus of Dr HALLIFAX. By G. LEAPINGWELL, LL.D. Designed for the use of Students in the Universities and Inns of Court 8vo. 12* . The Mathematical and other Writings of ROBERT LESLIE ELLIS, MA, late Fellow of Trinity College, Cambridge.
Page 10 - THIS series is intended to supply for the use of Schools and Students cheap and accurate editions of the Classics, which shall be superior in mechanical execution to the small German editions now current in this country, and more convenient in form. The texts of the " Bibliotheca Classica" and " GrammarSchool Classics" so far as they have been published, will be adopted.
Page 12 - This work, in illustration of the biography of notable and eminent men who have been members of the University of Cambridge, comprehends notices of : — 1. Authors. 2. Cardinals, archbishops, bishops, abbots, heads of religious houses and other church dignitaries. 3. Statesmen, diplomatists, military and naval commanders.