Elements of Natural Philosophy, Part 1 |
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Page 2
... angle and the length of the circular arc PQ . Now , if 0 be the angle , s the arc , and r the radius , we see at once that ( as the angle between the radii is equal to the angle between the tangents , and as the measure of an angle is ...
... angle and the length of the circular arc PQ . Now , if 0 be the angle , s the arc , and r the radius , we see at once that ( as the angle between the radii is equal to the angle between the tangents , and as the measure of an angle is ...
Page 3
... angle through which this turns during the motion of the point exhibits what we have defined as the integral curvature . In esti- mating this , we must of course take the enlarged modern meaning of an angle , including angles greater ...
... angle through which this turns during the motion of the point exhibits what we have defined as the integral curvature . In esti- mating this , we must of course take the enlarged modern meaning of an angle , including angles greater ...
Page 4
... angles , —an extension of the result in Euclid , where all reëntrant polygons are excluded . In the star - shaped figure , it is ten right angles , wanting the sum of the five acute angles of the figure ; i.e. it is eight right angles ...
... angles , —an extension of the result in Euclid , where all reëntrant polygons are excluded . In the star - shaped figure , it is ten right angles , wanting the sum of the five acute angles of the figure ; i.e. it is eight right angles ...
Page 7
... angles to each other . Thus , for a train moving up an incline in a N.E. direction , we may have the whole velocity and the steepness of the incline ... angle between the two directions ; the second by using as factor the sine KINEMATICS . 7.
... angles to each other . Thus , for a train moving up an incline in a N.E. direction , we may have the whole velocity and the steepness of the incline ... angle between the two directions ; the second by using as factor the sine KINEMATICS . 7.
Page 8
... angle . Thus a point moving with velocity V up an Inclined Plane , making an angle a with the horizon , has a vertical velocity V sina and a horizontal velocity Vcos a . Or it may be resolved into components in any three rectangular ...
... angle . Thus a point moving with velocity V up an Inclined Plane , making an angle a with the horizon , has a vertical velocity V sina and a horizontal velocity Vcos a . Or it may be resolved into components in any three rectangular ...
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Common terms and phrases
acceleration action amount angular velocity anticlastic attraction axis called Cambridge centre of gravity centre of inertia circle circular co-ordinates component configuration consider constant corresponding cosine couple curvature curve cylinder denote density described diagram displacement distance ellipse ellipsoid elongation equal equations equilibrium external point finite fixed point flexure fluid forces acting formulae friction geometrical given force Hence hodograph horizontal infinitely small instant inversely kinetic energy length magnitude mass matter measured moment of inertia momentum moving normal section P₁ P₂ parallel particle path pendulum perpendicular portion position potential pressure principal axes principle produce projection proportional quantity radius radius of gyration reckoned rectangular right angles rigid body rotation round shear shell sides simple harmonic motion solid angle space spherical surface spiral square St John's College straight line strain stress suppose tangent tion torsion uniform unit vertical whole wire
Popular passages
Page 9 - Nalopakhyanam, or, The Tale of Nala ; containing the Sanskrit Text in Roman Characters, followed by a Vocabulary in which each word is placed under its root, with references to derived words in cognate languages, and a sketch of Sanskrit Grammar. By the Rev. THOMAS JARRETT, MA , Trinity College, Regius Professor of Hebrew, late Professor of Arabic, and formerly Fellow of St Catharine's College, Cambridge.
Page 167 - that every particle of matter in the universe attracts every other particle, with a force whose direction is that of the line joining the two, and whose magnitude is directly as the product of their masses, and inversely as the square of their distances from each other.
Page 8 - Wilson's Illustration of the Method of explaining the New Testament, by the early opinions of Jews and Christians concerning Christ.
Page 4 - The Missing Fragment of the Latin Translation of the Fourth Book of Ezra, discovered, and edited with an Introduction and Notes, and a facsimile of the MS., by ROBERT L. BENSLY, MA, Sub-Librarian of the University Library, and Reader in Hebrew, Gonville and Caius College, Cambridge.
Page 14 - ILLUSTRATIONS OF COMPARATIVE ANATOMY, VERTEBRATE AND INVERTEBRATE, for the Use of Students in the Museum of Zoology and Comparative Anatomy. Second Edition. Demy 8vo.
Page 13 - Mathematical and Physical Papers. By Sir W. THOMSON, LL.D., DCL, FRS, Professor of Natural Philosophy, in the University of Glasgow. Collected from different Scientific Periodicals from May, 1841, to the present time.
Page 4 - 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 28 - Le Verre D'Eau. A Comedy, by SCRIBE. With a Biographical Memoir, and Grammatical, Literary and Historical Notes, by C. COLBECK, MA, late Fellow of Trinity College, Cambridge; Assistant Master at Harrow School.
Page 12 - 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 6 - M. Minucii Felicis Octavius. The text newly revised from the original MS. with an English Commentary, Analysis, Introduction, and Copious Indices. Edited by HA HOLDEN, LL.D.. Head Master of Ipswich School, late Fellow of Trinity College, Cambridge, Classical Examiner to the University of London. Crown Octavo. 7^. 6d. Theophili Episcopi Antiochensis Libri Tres ad Autolycum. Edidit, Prolegomenis Versione Notulis Indicibus instruxit GuLIELMUs GILsON HUMPHRY, STB Collegii Sanctiss.