The Positive Philosophy of Auguste Comte, Volume 1G. Bell & sons, 1896 |
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Page xxxiii
... quantities Division of the Calculus of functions SECTION 1. Ordinary Analysis , or Calculus of Direct Func- tions . Its object . Classification of Equations Algebraic equations . Algebraic resolution of equations Our existing knowledge ...
... quantities Division of the Calculus of functions SECTION 1. Ordinary Analysis , or Calculus of Direct Func- tions . Its object . Classification of Equations Algebraic equations . Algebraic resolution of equations Our existing knowledge ...
Page 38
... quantities are involved : the height from which the body falls , and the time occupied in its descent . These two quantities are connected , as they vary together , and together remain fixed . In the language of mathematicians , they ...
... quantities are involved : the height from which the body falls , and the time occupied in its descent . These two quantities are connected , as they vary together , and together remain fixed . In the language of mathematicians , they ...
Page 39
... quantities , simply connected , the phenomenon will present a consider- able number , —the space traversed , whether in a vertical or horizontal direction ; the time employed in traversing it : the velocity of the body at each point of ...
... quantities , simply connected , the phenomenon will present a consider- able number , —the space traversed , whether in a vertical or horizontal direction ; the time employed in traversing it : the velocity of the body at each point of ...
Page 40
... quantities , which will offer occasion for new mathematical questions . Thus , when we once know the distance of any object , the observation , simple and always possible , of its apparent diameter , may disclose to us , with certainty ...
... quantities , which will offer occasion for new mathematical questions . Thus , when we once know the distance of any object , the observation , simple and always possible , of its apparent diameter , may disclose to us , with certainty ...
Page 41
... quantities which can be presented by any phenomenon whatsoever , in order to deduce all from each other . Now , there is evi- dently no phenomenon which may not be regarded as affording such considerations . Hence results the naturally ...
... quantities which can be presented by any phenomenon whatsoever , in order to deduce all from each other . Now , there is evi- dently no phenomenon which may not be regarded as affording such considerations . Hence results the naturally ...
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abstract action admit algebraic analytical analytical geometry application astronomy barology bodies CELESTIAL DYNAMICS celestial mechanics character chemistry chemists co-ordinates combination complete composition compounds conceive conception concrete Concrete Mathematics consideration constitutes degree Descartes determine differential differential calculus difficulty direct discovery distance distinct doctrine dualism dynamics earth Edited electric electrology elementary elements equations equilibrium established fact fluids forces functions fundamental geometry gravity heat History hypotheses idea imperfect important inorganic integral calculus Kepler knowledge Lagrange Leibnitz less lines liquids magnitudes mathematical mathematical analysis matical metaphysical method motion natural philosophy nature Newton observation obtained orbits organic organic chemistry parallax perfect pheno phenomenon Physics physiology planets Positive Philosophy precision present principle proportion quantities question Rational Mechanics refraction regard relation result rotation scientific simple small number solar stars Statics substances supposed surface temperature theory thermology tion Trans transcendental analysis Translated true variable velocity vols whole
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