## Elements of Natural Philosophy, Part 1 |

### From inside the book

Page 221

It has also the following important property : -The line of elastic centres , or , as

we shall call it , the elastic central line , remains sensibly unchanged in length to

whatever

It has also the following important property : -The line of elastic centres , or , as

we shall call it , the elastic central line , remains sensibly unchanged in length to

whatever

**stress**within our conditional limits ( $ 605 ) the wire be subjected . Page 225

Returning to the case of a uniform wire straight and untwisted ( that is , cylindrical

or prismatic ) when free from

given direction , and no other force from without to influence it except that of a ...

Returning to the case of a uniform wire straight and untwisted ( that is , cylindrical

or prismatic ) when free from

**stress**; let us suppose one end to be held fixed in agiven direction , and no other force from without to influence it except that of a ...

Page 230

A wire of equal flexibility in all directions , and straight when freed from

offers , when bent and twisted in any manner whatever , not the slightest

resistance to being turned round its elastic central curve , as its conditions of

equilibrium ...

A wire of equal flexibility in all directions , and straight when freed from

**stress**,offers , when bent and twisted in any manner whatever , not the slightest

resistance to being turned round its elastic central curve , as its conditions of

equilibrium ...

Page 232

Thus , any three rectangular planes of reference being chosen , we may take six

elements thus , to specify a

on these planes ; and S , T , U the tangential components , respectively ...

Thus , any three rectangular planes of reference being chosen , we may take six

elements thus , to specify a

**stress**: P , Q , R_the normal components of the forceson these planes ; and S , T , U the tangential components , respectively ...

Page 233

From this it follows that for any

planes at right angles to one another such that the force acting in the solid across

each of them is precisely perpendicular to it . These planes are called the

principal or ...

From this it follows that for any

**stress**whatever there are three determinateplanes at right angles to one another such that the force acting in the solid across

each of them is precisely perpendicular to it . These planes are called the

principal or ...

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### Common terms and phrases

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 evidently experience 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 perpendicular plane portion position potential practical pressure principle problem produce projection proportional quantity radius reference relative remain respectively rest resultant right angles rigid rotation round sides simple solid space spherical square straight strain stress suppose surface theory turned uniform unit velocity weight whole wire