Elements of Natural Philosophy, Part 1 |
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Page 21
... expression used to designate the part of its whole period which it has reached . It is borrowed from the popular expression phases of the moon . ' Thus for Simple Harmonic Motion we may call the first or zero - phase that of passing ...
... expression used to designate the part of its whole period which it has reached . It is borrowed from the popular expression phases of the moon . ' Thus for Simple Harmonic Motion we may call the first or zero - phase that of passing ...
Page 25
... expression in Fourier's Theorem , to be presently enunciated . We give below a graphic representation of the composition of two simple harmonic motions in one line , of equal amplitudes and of periods which are as 1 : 2 and as 2 3 , the ...
... expression in Fourier's Theorem , to be presently enunciated . We give below a graphic representation of the composition of two simple harmonic motions in one line , of equal amplitudes and of periods which are as 1 : 2 and as 2 3 , the ...
Page 29
... expression , in mathematical language , for any arbitrary periodic function ; and consequently can express any function whatever between definite values of the variable . 6 89. Any arbitrary periodic function whatever being given ...
... expression , in mathematical language , for any arbitrary periodic function ; and consequently can express any function whatever between definite values of the variable . 6 89. Any arbitrary periodic function whatever being given ...
Page 30
... expressing a given arbitrary periodic function , -when once we are assured that the problem is possible ; and when we have this assurance , it proves that the reso- lution is determinate ; that is to say , that no other complex harmonic ...
... expressing a given arbitrary periodic function , -when once we are assured that the problem is possible ; and when we have this assurance , it proves that the reso- lution is determinate ; that is to say , that no other complex harmonic ...
Page 37
... expressing in two ways the area of the parallelogram IpOq , we have Hence Og . Iẞ = Op . Ia . Oq : Op :: w1 : w . In words , if on the axes OA , OB , we measure off from O lines Op , Oq , proportional respectively to the angular ...
... expressing in two ways the area of the parallelogram IpOq , we have Hence Og . Iẞ = Op . Ia . Oq : Op :: w1 : w . In words , if on the axes OA , OB , we measure off from O lines Op , Oq , proportional respectively to the angular ...
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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.