Lazare and Sadi Carnot

7.1.4 On logics and structure.- 7.2 Sadi Carnot's theory and its logical organization.- 7.2.1 On DNSs and logical investigation.- 7.2.2 The distribution of DNSs in Sadi Carnot's book.- 7.2.3 The possible theoretical roles played by a DNS.- 7.2.4 Sadi Carnot's arguments through his DNSs.- 7.3 Reconstruction of arguments and some cycles of reasoning expressed by DNSs.- 7.4  Sadi Carnot's thermodynamics as PO theory. Its non-classical logic and its central problem.- 7.5 On Sadi Carnot's theory: a case-study.- 7.6 Which and how many principles did Sadi Carnot express in his Réflexions sur la Puissance Motrice du Feu? .- 7.7 DNSs and mathematics in Sadi Carnot's theory.- 7.8 Final remarks.- CHAPTER VIII What Are The Scientific Roots Of Sadi Carnot's Cycle?: 8.1 An outline of the problem.- 8.2 A comparative analysis: Volta's battery and Sadi Carnot's heat machine.- 8.2.1 An analogy between heat fluid and electric fluid.- 8.2.2 An analogy between the cycle of electric fluid and the cycle on heat states.- 8.2.3 An analogy between heat work and electrical work.- 8.3 On the analogy between thermodynamics and electrostatics according to Mach's investigations.- 8.4 Other kind of analogies.- 8.4.1 On the birth of electricity and thermodynamic theories.- 8.4.2 On the caloric and entropy.-  8.5 Final remarks.- CHAPTER IX Historical Epistemology Of Thermodynamics. The Mathematics In Sadi Carnot's Theory: 9.1 An outline of the problem.- 9.2 A book of physics without mathematics?.- 9.3 The calculations and historical interpretation of the mathematical footnote.- 9.4 The «suppression» of adiabatic curves in Sadi Carnot's cycle.- 9.4.1 Why Sadi Carnot «supprime» the adiabatic curves?.- 9.4.2 A possible solution. Lazare's synthetic method.- 9.4.3 The synthetic method in Réflexions sur la puissance motrice du feu .- 9.5 The mathematical character of the footnote.- 9.6 How did Sadi Carnot use his adiabatic equation? A possible calculation.- 9.7  A reflection on modern calculation of efficiency.- 9.8 Final Remarks.- CHAPTER X Studies And Heritage of Réflexions sur la Puissance Motrice du Feu: 10.1 An outline of the problem.- 10.2 La théorie analytique de la chaleur. Reflections on Fourier and Lamé .- 10.2.1 On Fuorier's Théorie analytique de la chaleur (1822) .-  10.2.2 On Lamé's Leçons sur la théorie analytique de la chaleur (1861) .- 10.2.3 Final remarks on Fourier and Lamé's theories .- 10.3 Theoretical advancements on caloric theory in Sadi Carnot's work .- 10.3.1 On dynamical effects of heat by Ferdnand Reech (1853).- 10.3.2  On cycles and equivalent mechanic of heat.- 10.4 On a comparative analyses between Paul de Saint-Robert's Principes de Thermodynamique (1865) and Sadi Carnot's Réflexions sur la puissance motrice du feu (1824).- 10.4.1  Notes on Paul de Saint-Robert.- 10.4.2 Historical analysis of Principes de Thermodynamique (1865).-  CHAPTER XI Final Remarks On The Scientific Relationship between Père et Fils: 11.1 An outline of the problem.- 11.2 A hypothesis on structure of scientific  parentage.- 11.3 On the lost Newtonian paradigm.- 11.4 On the constraints and production of work.- 11.5 On the machines en général  and its working substance of machines.-  11.6 On the analogy between hydraulic and heat machines.- 11.7 On the efficiency of a machine.- 11.8 On the impossibility of perpetual motion.-   11.9 On the synthetic method.- 11.10 On the principle of virtual work.- 11.11 On the principle of virtual work and the interactions.- 11.12 On the principle of virtual work and the state equations.- 11.13 Scholars, formulas, experiments and sources cited by Sadi Carnot in his Works.- 11.14 On the equivalence of work-heat.- 11.15 On the cycle and reversibility of a machine.- 11.16 Final remarks a mò of conclusions.- Appendix to Chapter VII.-  References.- Index.