Transactions of the Cambridge Philosophical SocietyUniversity Press, 1842 |
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الصفحة 74
... curvature at different points of the curve ; ) rde k , + k . - Let a + b ) 2 2 dr √ ( ur ) . ( r - b ) = X VY √1-2 where is the sine of the angle between the curve and radius vector , then psr , p being the perpendicular upon the ...
... curvature at different points of the curve ; ) rde k , + k . - Let a + b ) 2 2 dr √ ( ur ) . ( r - b ) = X VY √1-2 where is the sine of the angle between the curve and radius vector , then psr , p being the perpendicular upon the ...
الصفحة 75
... radius of curvature at the tangent points , 1 dp ds 2k √ — k = = Ꭱ rdr dr which depends only on a - = - √k , + k , + k 72 4 b , and therefore , the radius of curvature is the same at all tangent points of curves of the same system ...
... radius of curvature at the tangent points , 1 dp ds 2k √ — k = = Ꭱ rdr dr which depends only on a - = - √k , + k , + k 72 4 b , and therefore , the radius of curvature is the same at all tangent points of curves of the same system ...
الصفحة 83
... radius of curvature of the curve described by the point F , immediately after the change of the driving points , must be less than the radius of curvature at G , sup- posing the curvature at G to be convex towards the centre of B ; in ...
... radius of curvature of the curve described by the point F , immediately after the change of the driving points , must be less than the radius of curvature at G , sup- posing the curvature at G to be convex towards the centre of B ; in ...
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