Elements of Natural Philosophy |
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Page 41
It is to be understood here , that as the radi of curvature have been considered
positive when both surfaces are convex , the negative sign must be introduced for
either radius when the corresponding surface is concave . Hence the angular ...
It is to be understood here , that as the radi of curvature have been considered
positive when both surfaces are convex , the negative sign must be introduced for
either radius when the corresponding surface is concave . Hence the angular ...
Page 42
Let P , o be two points of a surface indefinitely near to each other , and let r be the
radius of curvature of a normal section passing through them . Then the radius of
curvature of an oblique section through the same points , inclined to the former ...
Let P , o be two points of a surface indefinitely near to each other , and let r be the
radius of curvature of a normal section passing through them . Then the radius of
curvature of an oblique section through the same points , inclined to the former ...
Page 43
The flexure of an inextensible surface which can be plane , is a subject which has
been well worked by geometrical investigators and writers , and , in its elements
at least , presents little difficulty . The first elementary conception to be formed is ...
The flexure of an inextensible surface which can be plane , is a subject which has
been well worked by geometrical investigators and writers , and , in its elements
at least , presents little difficulty . The first elementary conception to be formed is ...
Page 44
There is still no difficulty in understanding the form of , säý a square , or circle , of
the plane surface when bent as explained above , provided it does not include
any of these points of intersection . When the number is infinite , and the surface ...
There is still no difficulty in understanding the form of , säý a square , or circle , of
the plane surface when bent as explained above , provided it does not include
any of these points of intersection . When the number is infinite , and the surface ...
Page 45
Hence , also , similar figures , whether constituted by actual portions of the
substance , or mere geometrical surfaces , or ... Hence , and from $ 139 , we see
that an ellipse remains an ellipse ; and an ellipsoid remains a surface of which
every ...
Hence , also , similar figures , whether constituted by actual portions of the
substance , or mere geometrical surfaces , or ... Hence , and from $ 139 , we see
that an ellipse remains an ellipse ; and an ellipsoid remains a surface of which
every ...
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acceleration according acting action amount angle angular applied attraction axes axis body called centre centre of inertia circle component condition consider constant corresponding couple course curvature curve denote density described determined direction displacement distance divided effect elastic elements energy equal equations equilibrium expression figure fixed fluid force friction give given gravity harmonic Hence important increase infinitely small instant interval kinetic length less mass matter mean measured method motion moving natural normal observation opposite parallel particle passing path period perpendicular plane portion position potential practical pressure principle produce projection proportional quantity radius reference relative remain remarkable resistance respectively rest resultant right angles rigid rotation round sides simple solid space spherical square straight strain stress suppose surface theory turned uniform unit velocity vertical weight whole wire
Bibliographic information
| Title | Elements of Natural Philosophy |
| Authors | William Thomson Baron Kelvin, Peter Guthrie Tait |
| Publisher | Collier, 1902 |
| Original from | Harvard University |
| Digitized | 25 Mar 2009 |
| Length | 295 pages |
| Export Citation | BiBTeX EndNote RefMan |