The Mathematical Writings of Duncan Farquharson Gregory |
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Page vii
... 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 Inverse Processes of the ...
... 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 Inverse Processes of the ...
Page viii
... Solution of certain Functional Equations Note on a Problem in Dynamics On Asymptotes to Algebraic Curves • • PAGE 216 225 226 • 230 235 243 247 257 261 BIOGRAPHICAL MEMOIR OF DUNCAN FARQUHARSON GREGORY , M.A. , LATE viii CONTENTS .
... Solution of certain Functional Equations Note on a Problem in Dynamics On Asymptotes to Algebraic Curves • • PAGE 216 225 226 • 230 235 243 247 257 261 BIOGRAPHICAL MEMOIR OF DUNCAN FARQUHARSON GREGORY , M.A. , LATE viii CONTENTS .
Page 43
... curve at the given point and cutting it in two others , then the chord in the conic section which passes through the given point and is parallel to the line joining the two points of section , is a chord of the circle of curvature at ...
... curve at the given point and cutting it in two others , then the chord in the conic section which passes through the given point and is parallel to the line joining the two points of section , is a chord of the circle of curvature at ...
Page 44
... curve , and will thus be a chord both in the curve itself and in the circle of curvature . Knowing now one chord of the circle of curvature , and the position of its diameter , which coincides with that of the normal , we can determine ...
... curve , and will thus be a chord both in the curve itself and in the circle of curvature . Knowing now one chord of the circle of curvature , and the position of its diameter , which coincides with that of the normal , we can determine ...
Page 56
... curve . The same method may be applied to the oblique cone , so as to determine the sub - contrary sections . By determining the circular sections in this manner , it is seen at once that any two belonging to different series are ...
... curve . The same method may be applied to the oblique cone , so as to determine the sub - contrary sections . By determining the circular sections in this manner , it is seen at once that any two belonging to different series are ...
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