The Mathematical Writings of Duncan Farquharson Gregory |
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Page vii
... Existence of Branches of Curves in several Planes 139 On the Elementary Principles of the Application of Algebraical Symbols to Geometry 150 On the Symmetrical Form of the Equation to the Parabola 163 On the Failure of Formulæ in the ...
... Existence of Branches of Curves in several Planes 139 On the Elementary Principles of the Application of Algebraical Symbols to Geometry 150 On the Symmetrical Form of the Equation to the Parabola 163 On the Failure of Formulæ in the ...
Page xxiii
... existence of rest and happiness in another world . He retained to the last , when he knew that his own connec- tion with earthly things was soon to cease , the unselfish interest which he had ever felt in the pursuits and happiness of ...
... existence of rest and happiness in another world . He retained to the last , when he knew that his own connec- tion with earthly things was soon to cease , the unselfish interest which he had ever felt in the pursuits and happiness of ...
Page 2
... existence of classes of unknown operations subject to the same laws . We are thus able to prove certain relations between the different classes of operations , which , when expressed be- tween the symbols , are called algebraical ...
... existence of classes of unknown operations subject to the same laws . We are thus able to prove certain relations between the different classes of operations , which , when expressed be- tween the symbols , are called algebraical ...
Page 3
... existence of two classes of operations F and f , connected together by the following laws : ( 1 ) FF ( a ) = F ( a ) . ( 3 ) Ff ( a ) = ƒ ( a ) . ( 2 ) ff ( a ) = F ( a ) . ( 4 ) ƒF ( a ) = ƒ ( a ) . Now , on looking into the operations ...
... existence of two classes of operations F and f , connected together by the following laws : ( 1 ) FF ( a ) = F ( a ) . ( 3 ) Ff ( a ) = ƒ ( a ) . ( 2 ) ff ( a ) = F ( a ) . ( 4 ) ƒF ( a ) = ƒ ( a ) . Now , on looking into the operations ...
Page 4
... existence of operations subject to the following laws : ( 1 ) fm ( a ) ƒn ( a ) = ƒm + n ( a ) . ( 2 ) ƒmfn ( a ) = ƒmn ( α ) . Where fm fn are different species of the same genus of operations , which may be conveniently named index ...
... existence of operations subject to the following laws : ( 1 ) fm ( a ) ƒn ( a ) = ƒm + n ( a ) . ( 2 ) ƒmfn ( a ) = ƒmn ( α ) . Where fm fn are different species of the same genus of operations , which may be conveniently named index ...
Other editions - View all
The Mathematical Writings of Duncan Farquharson Gregory (Classic Reprint) Duncan Farquharson Gregory No preview available - 2019 |
The Mathematical Writings of Duncan Farquharson Gregory William Walton,Robert Leslie Ellis,Duncan Farquharson Gregory No preview available - 2015 |
Common terms and phrases
a₁ applied arbitrary constants arithmetical asymptotes axis becomes binomial theorem C₁ Cambridge Mathematical Journal centre coefficients commutative commutative operations conic section consider cosine cosne curve determine Differential Calculus differential equations dt² dx dx dx dy dx² dy² Edition equal expression factor Finite Differences fraction functional equation geometrical given Hence infinite integral intersection inverse operation John Herschel laws of combination linear logarithms maxima and minima method motion multiplying negative original P₁ parabola pendulum perpendicular plane of xy point of suspension principles quantity represent residue result right angles roots sides singular point solution subtraction suppose surface symbols of operation tangent Taylor's theorem term theory tion triangle u₂ values variables whence