A treatise on the application of analysis to solid geometry, commenced by D.F. Gregory, concluded by W. Walton |
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Page v
... . To find the angles which a given straight line makes with the co - ordinate axes 29 . To find the equations to a straight line which passes through two given points 24 74 25 25 ARTICLE Page 30 . To find the condition that two.
... . To find the angles which a given straight line makes with the co - ordinate axes 29 . To find the equations to a straight line which passes through two given points 24 74 25 25 ARTICLE Page 30 . To find the condition that two.
Page vi
Duncan Farquharson Gregory. ARTICLE Page 30 . To find the condition that two straight lines may intersect , and the ... condition that a straight line may be parallel to a plane To find the conditions that a given straight line may lie ...
Duncan Farquharson Gregory. ARTICLE Page 30 . To find the condition that two straight lines may intersect , and the ... condition that a straight line may be parallel to a plane To find the conditions that a given straight line may lie ...
Page viii
... Conditions that the equation of the second degree shall represent surfaces of revolution 108 133-142 . Rectilinear generating lines 112 CHAPTER VII . Of Curves in Space . 143 , 144. Preliminary remarks 119 145 . Analytical distinction ...
... Conditions that the equation of the second degree shall represent surfaces of revolution 108 133-142 . Rectilinear generating lines 112 CHAPTER VII . Of Curves in Space . 143 , 144. Preliminary remarks 119 145 . Analytical distinction ...
Page x
... Condition that a plane may touch a surface in a curve line Page 195 197 198 199 200 201 202 203 204 206 208 214 260 . 261 . 262 . CHAPTER XIV . On the Curvature of Curves in Space . Measure of the rate of curvature Radius of absolute ...
... Condition that a plane may touch a surface in a curve line Page 195 197 198 199 200 201 202 203 204 206 208 214 260 . 261 . 262 . CHAPTER XIV . On the Curvature of Curves in Space . Measure of the rate of curvature Radius of absolute ...
Page xi
... Condition that two of the co - ordinate planes may coincide with the principal sections at any point of a surface ... Conditions for the existence of umbilici 248 • 297 . 296. Another investigation of the problem of Art . 280 Cauchy's ...
... Condition that two of the co - ordinate planes may coincide with the principal sections at any point of a surface ... Conditions for the existence of umbilici 248 • 297 . 296. Another investigation of the problem of Art . 280 Cauchy's ...
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Common terms and phrases
Ax² axis centre chords co-ordinate axes co-ordinate planes coefficients condition cone considered constant cos² cosines curve of contact cylinder d²x d²z d³x d³y d³z determined developable surface dF dx diameters diametral plane differential equation direction-cosines ds² dx² dy² eliminating ellipse ellipsoid equal expression find the equation formula given Hence homogeneous function hyperbolic hyperboloid Let the equations line of intersection lines of curvature locus Multiplying normal plane normal sections origin osculating circle osculating plane P'y² P'z² P₁ parameters perpendicular plane curve plane of xy Points of Inflected positive projections Px² quantities r₁ radii radius of curvature satisfied second degree second order sin² sphere straight line substitute suppose tangent plane torsion values vanish variables x₁ x² y² y₁ y²² zero
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