A Catalogue of the Portsmouth Collection of Books and Papers Written by Or Belonging to Sir Isaac Newton: The Scientific Portion of which Has Been Presented by the Earl of Portsmouth to the University of Cambridge |
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Page xi
1st , the Lunar Theory , 2nd , the Theory of Atmospheric Refraction , and 3rd , the Determination of the Form of the Solid of Least Resistance . It is expressly stated by Newton himself that the Lunar Theory as given in his Principia is ...
1st , the Lunar Theory , 2nd , the Theory of Atmospheric Refraction , and 3rd , the Determination of the Form of the Solid of Least Resistance . It is expressly stated by Newton himself that the Lunar Theory as given in his Principia is ...
Page xv
It is well known that in the Principia Newton determines the form of the solid of least resistance , thus affording the first example of a class of problems which we now solve by means of the Calculus of Variations .
It is well known that in the Principia Newton determines the form of the solid of least resistance , thus affording the first example of a class of problems which we now solve by means of the Calculus of Variations .
Page xxi
These relate to I. The form of the Solid of Least Resistance . Principia , Lib . II . Prop . 35 , Schol . II . A List of Propositions in the Lunar Theory intended to be inserted in a second edition of the Principia . III .
These relate to I. The form of the Solid of Least Resistance . Principia , Lib . II . Prop . 35 , Schol . II . A List of Propositions in the Lunar Theory intended to be inserted in a second edition of the Principia . III .
Page xxii
... the summ of the resistances of the two surfaces generated by the infinitely little lines Gg , Nn shall be least when gG ? is to nN ! as BGx Bb to MN x Mm . For the resistances of the surfaces generated by the revolution BG MN of Gg ...
... the summ of the resistances of the two surfaces generated by the infinitely little lines Gg , Nn shall be least when gG ? is to nN ! as BGx Bb to MN x Mm . For the resistances of the surfaces generated by the revolution BG MN of Gg ...
Page xxiii
If the curve line DnNgG be such that the surface of the solid generated by its revolution feels the least resistance of any solid with the same top and bottom BG and CD , then the resistance of the two narrow annular surfaces generated ...
If the curve line DnNgG be such that the surface of the solid generated by its revolution feels the least resistance of any solid with the same top and bottom BG and CD , then the resistance of the two narrow annular surfaces generated ...
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