Elements of Natural Philosophy: Pt I |
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Page 51
... density bears to the density , at any instant , the same ratio as the rate of increase of the volume of an infinitely small portion bears to the volume of this portion at the same instant . 164. To find the differential equation of ...
... density bears to the density , at any instant , the same ratio as the rate of increase of the volume of an infinitely small portion bears to the volume of this portion at the same instant . 164. To find the differential equation of ...
Page 52
... density , at any instant , the same ratio that the rate of acquisition of matter into that space bears to the whole matter in that space . 165. Several references have been made in preceding sections to the number of independent ...
... density , at any instant , the same ratio that the rate of acquisition of matter into that space bears to the whole matter in that space . 165. Several references have been made in preceding sections to the number of independent ...
Page 56
... Density conjointly . In reality , the definition gives us the meaning of density rather than of mass ; for it shows us that if twice the original quantity of matter , air for example , be forced into a vessel of given capacity , the ...
... Density conjointly . In reality , the definition gives us the meaning of density rather than of mass ; for it shows us that if twice the original quantity of matter , air for example , be forced into a vessel of given capacity , the ...
Page 58
... density , we have taken no account of the dimensions of the moving body . This is of no consequence so long as it does not rotate , and so long as its parts preserve the same relative positions amongst one another . In this case we may ...
... density , we have taken no account of the dimensions of the moving body . This is of no consequence so long as it does not rotate , and so long as its parts preserve the same relative positions amongst one another . In this case we may ...
Page 60
... of forces . 187. The formula , deduced by Clairault from observation , and a certain theory regarding the figure and density of the earth , may be employed to calculate the most probable value of the apparent 60 PRELIMINARY .
... of forces . 187. The formula , deduced by Clairault from observation , and a certain theory regarding the figure and density of the earth , may be employed to calculate the most probable value of the apparent 60 PRELIMINARY .
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Common terms and phrases
acceleration action amount angular velocity anticlastic attraction axis called Cambridge centimetre centre of gravity centre of inertia circle circular co-ordinates component configuration consider constant cord corresponding cosine couple curvature curve cylinder denote density described diagram displacement distance ellipse ellipsoid elongation equal equations equilibrium external 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 straight line strain stress suppose tangent theorem tion torsion uniform unit vertical whole wire
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Page 10 - 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. Demy 8vo.
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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 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 7 - Wilson's Illustration of the Method of explaining the New Testament, by the early opinions of Jews and Christians concerning Christ.
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