The Analytical Theory of Heat |
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Page v
... escape from the same point of a surface have not the same intensity . The intensity of each ray is proportional 1 Each paragraph of the Table indicates the matter treated of in the articles indicated at the left of that paragraph . The ...
... escape from the same point of a surface have not the same intensity . The intensity of each ray is proportional 1 Each paragraph of the Table indicates the matter treated of in the articles indicated at the left of that paragraph . The ...
Page 3
... escapes in rays from all points of the surface and expands through the sky . Different climates , unequally exposed to the action of solar heat , have , after an immense time , acquired the temperatures proper to their situation . This ...
... escapes in rays from all points of the surface and expands through the sky . Different climates , unequally exposed to the action of solar heat , have , after an immense time , acquired the temperatures proper to their situation . This ...
Page 4
... escapes from the surface of all bodies , and traverses elastic media , or spaces void of air , has special laws , and occurs with widely varied phenomena . The physical explanation of many of these facts is already known ; the mathe ...
... escapes from the surface of all bodies , and traverses elastic media , or spaces void of air , has special laws , and occurs with widely varied phenomena . The physical explanation of many of these facts is already known ; the mathe ...
Page 5
... escape from a point on the surface of any heated body varying with their inclination ac- cording to a law which experiments have indicated , is there not a necessary mathematical relation between this law and the general fact of the ...
... escape from a point on the surface of any heated body varying with their inclination ac- cording to a law which experiments have indicated , is there not a necessary mathematical relation between this law and the general fact of the ...
Page 8
... escapes us , as that of air and light , by its extreme tenuity , if bodies are placed far from us in the immensity of space , if man wishes to know the aspect of the heavens at successive epochs separated by a great number of centuries ...
... escapes us , as that of air and light , by its extreme tenuity , if bodies are placed far from us in the immensity of space , if man wishes to know the aspect of the heavens at successive epochs separated by a great number of centuries ...
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Common terms and phrases
a₁ abscissa action actual temperature analysis arbitrary axis b₁ body chaleur co-ordinates coefficients conducibility consider constant temperature convergent series cooling corresponding cosines curve d'v d'v definite integrals denoting determine different points differential equations dimensions distance dv dv dv dx dv dz dx dy dx² dy dz dy² enclosure equa equation dv expressed fixed temperature give given heat equal heat which escapes heat which flows Hence hypothesis infinitely small initial temperatures instant dt integral interior maintained mass mathematical analysis molecule movement of heat multiple arcs multiply ordinates parallel partial differential equations perature permanent temperature perpendicular plane prism problem propagation of heat quantity of heat radius ratio rays represented result satisfies second member sin x sines solution source of heat substitute suppose theorems theory of heat thermometer tion unknowns variable vary versin
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Page 469 - Greek and English Testament, in parallel columns on the same page. Edited by J. SCHOLEFIELD, MA late Regius Professor of Greek in the University. New Edition, with the marginal references as arranged and revised by DR SCRIvENER, js.